Modulation force generation method for double-roller cast rolling and rolling

Abstract

The invention relates to the technical field of double-roller cast rolling and rolling, discloses a modulation force generation method for double-roller cast rolling and rolling, and aims to solve the problems that in the prior art, motion synchronization depends on complex control logic, errors are prone to being generated, and robustness is insufficient. The method is applied to a system comprising a roller system and a constraint, and the roller system is composed of a first roller body and a second roller body which are oppositely arranged; the overall movement of the roller system relative to the fixed reference is defined as first movement, and the relative movement between the two roller bodies is defined as second movement. The geometric inevitability coupling relation of the two types of motions is constructed by presetting a constraint structure: when any motion is actively controlled, the other motion is inevitably and passively generated under the action of constraint forcing. According to the coupling relation, synchronous deviation is eliminated from the structural level, motion synchronization can be achieved without a complex algorithm, the equipment structure is simplified, the control difficulty is reduced, the system robustness and synchronization precision are enhanced, roller body stress can be optimized, the process stability and the blank quality are improved, and the coupling relation is suitable for double-roller cast rolling and rolling scenes.

Description

Technical Field

[0001] This invention relates to the field of metal material processing, and more particularly to twin-roll casting and rolling processes and conventional rolling processes. More specifically, it relates to a control method for generating modulating forces to regulate the forming process during twin-roll casting and rolling and conventional rolling processes. This method is also applicable to profile rolling and composite rolling forming processes. Background Technology

[0002] This invention relates to the field of twin-roll casting and rolling technology, and more particularly to a method for generating modulating force for twin-roll casting and rolling.

[0003] In twin-roll casting and rolling processes, the following definitions exist: Roll body: including the crystallizing roll in the twin-roll casting and rolling process and the work roll in the rolling process; two oppositely arranged roll bodies are defined as the first roll body and the second roll body, and are collectively referred to as the two roll bodies; Roll axis: The axis of rotation of the roller body, a virtual straight line describing the center of rotation of the roller body; the roller axes of two roller bodies are defined as the first roller axis and the second roller axis respectively; the first roller axis refers to the geometric center line or rotation center line of the first roller body; the second roller axis refers to the geometric center line or rotation center line of the second roller body. Roller working surface: The surface of the roller that can directly contact the material, referred to as the roller surface; the roller surface of the first roller is called the first roller surface, and the roller surface of the second roller is called the second roller surface; Roll gap: The minimum distance between two rolls (linear in three-dimensional space), the value of which is called the roll gap opening; Nip point: The geometric midpoint of the roll gap; in the field, "point" is commonly used to refer to the actual "line". Material action zone: The area between the two rolls where the material to be processed comes into direct contact with the roll surface and is subjected to force. The material to be processed includes liquid (such as molten metal used for forming in twin-roll casting and rolling), semi-solid (such as metal billets in twin-roll casting and semi-solid rolling processes), or solid (such as metal billets to be rolled in cold rolling and hot rolling processes), which can be fully adapted to various application scenarios of twin-roll casting and rolling. For twin-roll casting and rolling processes, the "material action zone" refers to the molten pool; for rolling processes, the "material action zone" refers to the deformation zone.

[0004] The material action zone is the core area for load transfer and quality control in twin-roll casting and rolling processes. In existing technologies, the pressure / stress distribution in the material action zone is prone to undesirable fluctuations, affecting the forming quality of the billet.

[0005] In twin-roll casting, two opposing crystallizing rolls (which fall under the category of "roll bodies" mentioned above) need to rotate in opposite directions. After material is added to the material action zone (molten pool), the material is moved out of the material action zone through the roll gap under the shear driving force provided by the roll surface, forming a billet with a specific thickness and width.

[0006] Rolling is a conventional method of metal plastic forming, generally divided into hot rolling and cold rolling. Its core component is two opposing work rolls (belonging to the category of "roll body" mentioned above). Regardless of whether it is hot rolling or cold rolling, the basic principle is to use the two work rolls to apply compression to the material entering the material action zone (deformation zone), causing it to reduce its thickness and extend its length, thereby obtaining a product with the required size and performance.

[0007] It should be understood that the products produced by twin-roll casting are not limited to thin strips. The term "thin strip" is merely a historically established, habitual designation. In fact, twin-roll casting can produce not only thin strips, but also pipes, bars, plates, and other billets with specific cross-sectional shapes. Therefore, the term "thin strip" in this invention should be interpreted broadly and does not constitute a limitation on the product form.

[0008] In existing twin-roll casting and rolling technology, to maintain process stability, it is usually necessary to coordinate the overall motion of the roll system and the relative motion between the two rolls simultaneously. Chinese patent application (application number: 2024113379560) discloses a "twin-roll thin strip roll gap floating method," which achieves apparent synchronization of the two types of motion by separately controlling the overall motion of the roll system and the relative motion between the two rolls, thereby keeping the roll system's placement plane approximately stationary relative to a fixed reference. This technical solution relies on the coordination of commands from an independent control unit to achieve real-time compensation for the placement plane's posture. From the disclosure of this patent application, it is clear that the motion coordination relationship is mainly achieved through external control logic or algorithms, and it does not reveal a technical path for determining the dependency relationship between the two types of motion through the geometric constraints of the mechanical structure. In this type of control logic-based solution, the system synchronization accuracy is usually limited by the algorithm response speed, sensor accuracy, and control execution error. In practical engineering applications, such errors may manifest as minor deviations in the time, amplitude, geometric, or frequency domains between two types of motion, such as phase lag, amplitude mismatch, or attitude errors. This can lead to residual speeds in the first or second roller or slight drift in the roll gap opening. Therefore, existing control logic-based synchronization schemes still suffer from technical drawbacks at the structural level, including limited synchronization accuracy and high control complexity. Summary of the Invention

[0009] In twin-roll casting and related rolling processes, the two types of core motions involved in this invention are defined as follows: The overall motion of the roller system relative to a fixed reference is defined as the first motion; The relative motion between the first roller and the second roller is defined as the second motion.

[0010] To address the technical problems of existing technologies that rely on independent control logic and lack geometric constraints at the structural level, leading to synchronization errors and high control complexity, this invention proposes a constraint-determined geometric coupling principle. This principle establishes specific geometric constraints within the system, ensuring a necessary passive response relationship between the first and second types of motions kinematically. When one type of motion is controlled to occur, the other type of motion is passively generated under the geometric conditions of the constraint structure, thereby achieving geometric binding and synchronization between the two types of motions without relying on external control algorithms.

[0011] By establishing motion coupling at the structural level, the system's degrees of freedom are geometrically correlated, enabling dynamic control of the stress field and improvement of load distribution. Compared to conventional methods that rely on complex control logic to drive and coordinate two types of motion separately, this invention directly establishes a geometrically necessary relationship through structural constraints, ensuring that the system's synchronization state is inherently determined by the mechanism's geometric characteristics. This eliminates the uncertainty of control logic from a kinematic perspective, achieving geometric synchronization and linkage of the two types of motion and predictable dynamic modulation of the stress field.

[0012] It should be understood that the term "geometric inevitability" used in this invention is an engineering term that can be directly understood by those skilled in the art, and is not an abstract concept. This term describes a deterministic linkage relationship determined by the system's geometry itself. Specifically, when structural constraints exist in the system, the occurrence of one type of motion will inevitably cause a passive response of another type of motion; this response does not depend on any external control logic, feedback signals, or manual adjustment, but is directly determined by the spatial layout between components, the connection of mechanisms, and the kinematic geometry. Therefore, "geometric inevitability" does not refer to synchronization based on control algorithms, but rather to passive follow-up or linkage behavior arising from the geometric conditions of the mechanism. In this invention, this geometrically inevitable linkage constitutes the theoretical basis of the technical solution, enabling the system to achieve a deterministic, repeatable, and predictable motion response under constraints.

[0013] The technical problems to be solved by this invention include: (1) Under actual engineering conditions, due to the time domain, amplitude domain and geometric domain errors caused by factors such as control timing differences, amplitude mismatch, structural stiffness and manufacturing tolerance, it is difficult to achieve the so-called "synchronous or simultaneous control" in the existing technology in a long-term stable manner. (2) Existing schemes that separately control and coordinate two types of motion have problems of high complexity and insufficient stability in terms of structural design, algorithm development, debugging and maintenance; (3) There is a lack of a general method in the prior art that can establish a strict coupling relationship between the first motion and the second motion based on the kinematic principle, and the stability and predictability of the modulation force generation cannot be guaranteed.

[0014] It should be understood that the modulation force in this invention is a variable pulsed force.

[0015] In twin-roll casting and rolling processes, the coordination of roll stress and motion caused by the transport behaviors of flow, heat transfer, and solidification within the material interaction zone has long constrained process stability and product quality. Existing research largely focuses on controlling the transport processes within the material interaction zone, while the systematic relationship between roll motion and load formation mechanisms is insufficient. In fact, similar motion coordination and load control problems exist in hot rolling mills, cold rolling mills, and other modified rolling equipment. This indicates that twin-roll casting and rolling processes share inherent commonalities with conventional rolling processes in terms of kinematic constraints and force transmission mechanisms: both can be viewed as coupled systems formed between roll motion and the stress field in the deformation zone under specific geometric constraints. This commonality reveals the mechanical consistency between twin-roll casting and rolling processes, providing a theoretical basis for establishing a unified principle of modulated force formation and stress control in a broader rolling mill system.

[0016] In twin-roll casting and rolling processes, reducing the roll gap load is crucial for suppressing crack formation and improving microstructure quality. The kinematic coupling principle proposed in this invention establishes a necessary geometric connection between the first and second types of motion through structural constraints. Thus, when one type of motion is controlled to occur, the other type of motion responds passively under the geometric conditions and compliant characteristics of the constraint structure, thereby achieving geometric linkage and synchronous coordination between the two types of motions without relying on external control algorithms.

[0017] This geometric coupling mechanism allows the transmission path of the modulated force to be directly determined by the structural relationship, generating stable dynamic pressure fluctuations under fixed roll gap conditions. In the casting or rolling deformation zone, this pulsating pressure wave not only helps to reduce the average casting force but also improves the stress and flow field distribution, thereby enhancing process stability and improving the internal density and surface quality of the billet.

[0018] This invention establishes a geometrically necessary coupling relationship between the first and second movements at the structural level by setting interrelated constraints. Specifically, when the first movement is actively controlled, the second movement is generated as a passive response under the influence of constraints; conversely, when the second movement is actively controlled, the first movement is generated as a passive response under the influence of constraints. This constraint relationship ensures that the motion linkage is determined by the structural geometry itself, rather than relying on the synchronous coordination of external control logic.

[0019] It should be understood that under actual engineering conditions, even with geometrically coupled design, certain residual deviations may still exist. These deviations mainly originate from assembly tolerances, elastic deformation of structural components, and environmental disturbances, rather than from control logic errors. Compared to the traditional "separate control" method, this invention significantly reduces the sources and magnitude of deviations through structural coupling, limiting residual deviations to within acceptable engineering tolerances.

[0020] Therefore, this invention establishes a geometrically necessary coupling relationship between the first and second movements, so that when one type of movement occurs under control, the other type of movement passively responds under constraint, achieving synchronous coordination of the two types of movements from a kinematic perspective. This principle not only maintains the stable position of the two rollers and the roller gap relative to a fixed reference, but also forms regular pulsating pressure waves in the material interaction zone between the two rollers, thereby helping to improve the solidification structure, suppress segregation, reduce crack sensitivity, and improve the overall stability of the forming process.

[0021] In summary, this invention proposes a kinematic principle different from traditional synchronous control by establishing "inevitable passive occurrence" as the fundamental definition of the relationship between the first and second motions. Its core lies in achieving geometrically inevitable coupling through structural constraints, thereby realizing motion synchronization and stable generation of modulation force without the need for complex control algorithms. The principle described in this invention is not only applicable to twin-roll casting and rolling equipment but can also be extended to hot rolling, cold rolling, and other rolling mill systems with relative roll motion characteristics, demonstrating good universality and engineering application value.

[0022] To address the current technical problems, this invention provides a method for generating modulation force in twin-roll casting and rolling. The method is applied to a system including a roll system and constraints. The roll system includes a first roll body and a second roll body arranged opposite to each other. The overall motion of the roll system relative to a fixed reference is defined as a first motion, and the relative motion between the first roll body and the second roll body is defined as a second motion. The method includes the steps of: controlling one of the first motion or the second motion to change; and under the constraint, the other motion is generated passively.

[0023] It should be understood that the term "constraint" in this specification refers to the limiting relationship formed at the geometric level by the system configuration or mechanism design. Its function is to define the definite geometric dependency between the first motion and the second motion, so that the two types of motion have a unique corresponding geometric relationship at any given time. This constraint is essentially a geometric structural constraint, which realizes the inevitable linkage between the two types of motion through the spatial layout or kinematic relationship of the components. This linkage is inherently determined by the system's geometric structure and does not depend on external signal feedback, algorithm adjustment, or human intervention.

[0024] Under the geometric constraints, passive motion is generated based on structural relationships, without the need for an independent drive source or synchronous control commands. Constraints can be implemented through rigid guiding mechanisms, differential linkage mechanisms, compliant support components, hydraulic or pneumatic compliant mechanisms, etc. The common feature of these different forms is that they all determine the linkage mode between the first and second motions through geometric relationships, ensuring that passive motion will inevitably occur when active motion occurs, thus forming a geometrically inevitable coupling relationship.

[0025] It should be understood that the "constraints" of this invention are not limited to a specific structural form, installation position or physical implementation method. Any technical means that can determine the correspondence between two types of motion in a geometric sense and make them necessarily linked are equivalent implementation methods of this invention.

[0026] The aforementioned "geometric inevitability" specifically refers to the fact that the relationship between the first and second motions is inherently determined by the system's geometric configuration, independent of external signals, algorithms, or human intervention. This fully conforms to the fundamental principle in mechanical kinematics that "mechanical constraints determine motion relationships." Specifically, when the parameters of the active motion (such as displacement, velocity, and frequency) are determined, the parameters of the passive motion are uniquely determined by the geometric characteristics of the constraints, without any uncertainty caused by external control factors. "Coupling effect," on the other hand, is a precise description of the correlation between the two types of motions. That is, the first and second motions do not exist in isolation but rather exhibit a linked state of "one moving, the other moving" through constraints. This characteristic directly echoes the core limitation in the claims that "actively controlling any one motion inevitably leads to the passive generation of the other motion," forming the kinematic basis of the technical solution.

[0027] In the actual process, under the constraints of geometry, the first motion and the second motion are coupled together as described above, and the force is transmitted through the contact between the two rollers and the material to be processed, ultimately generating a changing modulated force in the material interaction zone between the two rollers.

[0028] It should be understood that the above-mentioned "controlling one of the first motion or the second motion to change; under the constraint, the other motion is generated passively" means that when controlling either the first motion or the second motion to change actively, the other motion will inevitably be generated passively under the geometrical force of the constraint, based on the inherent geometrical dependency between the two types of motions.

[0029] The core innovation of this invention lies in achieving a geometrically inevitable coupling between the first and second motions through geometric structural constraints. This completely eliminates synchronization errors that may be caused by traditional control logic at the structural level, achieving precise synchronization of the two types of motions without relying on complex algorithms, while simultaneously generating a modulated force that meets process requirements. This design not only significantly simplifies the equipment structure and reduces control difficulty, but also greatly improves system robustness and synchronization accuracy, optimizes the stress state of the rolls, and ultimately achieves a dual improvement in process stability and billet forming quality. It is applicable to various process scenarios such as twin-roll casting and rolling, conventional rolling, profile rolling, and composite rolling forming.

[0030] Furthermore, a method for generating modulating force for twin-roll casting and rolling, wherein the system is a hot rolling mill, a cold rolling mill, or a twin-roll casting mill.

[0031] Through research and analysis, existing technologies have not disclosed the principle of "coupling the first motion and the second motion through geometric constraints" or its specific implementation in a twin-roll system. Especially in traditional rolling systems, no technical solution has been found to achieve deterministic coupling between the overall motion of the roll system and the relative motion of the two rolls through geometric constraints. This invention establishes the aforementioned principle framework: a constraint structure is set in the system to create a deterministic relationship between the first and second motions in a geometric sense; when one type of motion is actively applied, the other type of motion responds passively under the constraint conditions, thus ensuring that the synchronization relationship of the system is inherently determined by the structural geometry. This achieves geometrically deterministic synchronous linkage without the need for external control algorithms and enables predictable dynamic modulation of the stress or velocity fields.

[0032] In rolling applications, this invention uses a constraint structure with geometric or compliant characteristics to create structural coupling between the first and second motions. Even with a constant roll gap, this coupling can create a controllable dynamic load distribution within the deformation zone. Passive coupling reconstructs the stress time history in the rolling zone, thereby achieving dynamic load homogenization and suppressing undesirable vibrations. Based on kinematic and structural mechanics analysis, this mechanism can reduce average rolling force, suppress peak fluctuations, and improve plate shape and thickness stability. The process involves the constraint structure achieving compliant adjustment and phase coordination through its elasticity and damping characteristics during dynamic loading, allowing the rolling force to automatically reach equilibrium in the time domain and absorbing and releasing energy during load cycles. Thus, this invention forms a novel dynamic control method in the rolling field, distinct from the traditional "separate control / algorithm compensation" approach. Its innovation lies not only in introducing the principle of geometric coupling into the solid deformation system, but also in utilizing the stiffness and compliance characteristics of multi-level constraint structures to construct a deterministic coupling relationship between active and passive motion, thereby forming a self-adjusting dynamic framework suitable for high-load and high-precision rolling processes.

[0033] The twin-roll casting and rolling process differs fundamentally from the traditional rolling process in its system characteristics: the former is influenced by the flow of materials in the action zone, solidification shrinkage, shear thinning of semi-solid metals, and thermal boundary conditions, and belongs to a liquid-solid multiphase flow system. Its coupling effect mainly targets the liquid metal, solidification interface, and shear thinning interface. Its core objectives are to suppress the shear thinning behavior and segregation of semi-solid metals, reduce cracks, eliminate core porosity in the billet, promote grain refinement, and improve microstructure uniformity. The latter is a solid plastic deformation system, where the stress response in the rolling zone is determined by the material rheological properties and the stand stiffness.

[0034] Based on the aforementioned principle of "geometric constraints to achieve motion coupling", this invention can achieve targeted optimization effects in two types of processes: In twin-roll casting and rolling, in addition to reducing the load in the casting and rolling zone and improving the stress state, it can also suppress solidification segregation, promote grain refinement, reduce hot cracks and edge cracks, thereby improving the as-cast structure and interface quality; In hot rolling or cold rolling, it can reduce the total rolling force and peak load, reduce equipment load and energy consumption, optimize stress distribution, and improve product thickness accuracy and surface quality.

[0035] In summary, although this invention is based on a unified kinematic principle, the objects of action, physical processes, and process objectives differ in twin-roll casting and solid-state rolling systems: the former emphasizes solidification structure and process stability, while the latter emphasizes load control and product quality improvement. These two constitute independent technical solutions, demonstrating the cross-domain adaptability and independent innovation of this invention in both solid-state and liquid-state forming systems.

[0036] Furthermore, in a method for generating modulation force for twin-roll casting and rolling, the minimum distance between the first roll and the second roll is defined as the roll gap, and the geometric midpoint of the roll gap is defined as the Nip point; the moving speed of the billet at the Nip point is defined as the preparation speed; the moving speed of the Nip point caused by the relative motion between the first roll and the second roll is defined as the floating speed; during the second motion, the inner product of the floating speed and the preparation speed is less than zero.

[0037] It should be understood that the terms “Nip point,” “preparation rate,” “floating rate,” and “inner product” used in this specification and claims have the same technical meaning as those defined in Chinese patent application document No. 2023109424018, and those skilled in the art can understand that their meanings are consistent with those in this application.

[0038] It should be understood that the technical feature of "during the second motion, the inner product of the floating velocity and the preparation velocity is less than zero" in this invention aims to increase the local pressure in the action area by forming an instantaneous velocity component opposite to the preparation direction, thereby achieving a pulsating pressure boosting effect.

[0039] In twin-roll casting applications, the pulsating pressure wave effect derived in this invention primarily acts on the solidification front region. By periodically generating instantaneous velocity components opposite to the preparation direction, low-frequency pressure fluctuations are formed in the liquid phase, prompting the liquid metal to periodically feed and redistribute at the solidification interface. This reduces compositional segregation, refines grains, improves the bonding quality of the casting-rolled composite interface, and significantly reduces hot cracking and edge cracking defects. This mechanism is the first to achieve spontaneous generation of pulsating pressure through kinematic coupling principles, without the need for additional hydraulic loading or complex external control systems.

[0040] It should be understood that in traditional twin-roll casting and rolling processes, "pressure boosting" or "increasing the pressure in the material action zone" is a known process objective, and its realization usually depends on external control parameters such as the liquid level in the material action zone, the static pressure of the molten metal, or the roll gap. However, the pressure effect generated by this invention does not originate from these steady-state hydraulic or thermodynamic conditions, but rather is a geometrically necessary modulating force derived from the constrained coupling relationship between the first and second motions. The way this modulating force is generated is fundamentally different from conventional techniques.

[0041] It should be understood that this modulated force manifests as a low-frequency periodic or aperiodic pulsating pressure wave in the time domain and as an unsteady stress field distributed along the Nip point region in the spatial domain, thus realizing a "structural modulated force generation mechanism" different from traditional hydrostatic loading. Its core innovation lies not in increasing the pressure value, but in the fundamental difference in the kinematic principle and implementation path of pressure generation: by replacing traditional liquid level or hydraulic control logic with geometric constraints, a dynamic modulated force field derived from kinematic necessity is realized. This new modulated force generation mode introduces "structural coupling of a two-roll system" into the field of solidification process control for the first time, constituting a substantial breakthrough in traditional casting and rolling principles.

[0042] In traditional rolling processes (including hot rolling and cold rolling), the aforementioned "negative internal product" effect manifests as a periodic reverse load component within the deformation zone, transforming the rolling process from steady-state loading to controlled unsteady-state loading. This can achieve effects such as reducing average rolling force and peak load, optimizing stress distribution, improving strip thickness accuracy and surface quality, and suppressing rolling vibration.

[0043] In summary, although this technical feature shares a common kinematic basis in both casting and rolling processes, it achieves innovations at different levels in terms of physical mechanisms and technical effects: in twin-roll casting, it manifests as solidification dynamics control based on motion coupling, while in rolling, it manifests as unsteady load control based on geometric coupling. Although both originate from the principle of constraint coupling, they have substantial differences in application mechanisms and effect paths, and both constitute modulation force generation mechanisms that have not yet been disclosed or realized in existing technologies.

[0044] Furthermore, a method for generating modulating force for twin-roll casting and rolling, wherein during the occurrence of the first movement, the ground position of the first roll and / or the second roll remains unchanged.

[0045] It should be understood that this feature is used to ensure that the absolute position of the roller relative to a fixed reference (such as the ground, frame, or mounting base) remains constant during movement, ensuring that the generation of the modulation force is entirely derived from the internal constraints of the roller system. This structure makes the coupling relationship between active motion and passive response more geometrically deterministic in space, avoiding zero-position errors and phase mismatches caused by overall roller drift, elastic deformation, or control deviations. This enables dynamic pressure control under fixed roll gap conditions, improving stress stability and forming consistency, thereby increasing process reliability without adding extra control complexity.

[0046] It should be understood that when the spatial positions of the first and second rollers remain constant relative to a fixed reference, their geometric center distance also remains constant, thereby keeping the roll gap opening constant.

[0047] It should be understood that, due to the geometrically necessary coupling relationship between the first movement and the second movement, the phrase "during the occurrence of the first movement" and "during the occurrence of the first movement and / or the second movement" in this specification and claims should be considered equivalent in technical semantics, and both have the same technical meaning.

[0048] Furthermore, a method for generating modulating force for twin-roll casting and rolling, wherein the roll gap opening remains constant during the occurrence of the first movement.

[0049] It should be understood that this feature is used to ensure that the minimum distance between the two rolls (i.e., the roll gap opening) remains constant during the generation of the modulation force, so as to guarantee that the change in modulation force originates from the constraint coupling between the first and second movements, rather than a change in the geometric gap. This design enables dynamic load control of the material action zone under constant roll gap conditions, thereby achieving periodic compaction of the solidification interface in twin-roll casting and rolling, and unsteady load control in rolling, avoiding thickness disturbances and synchronization errors, and significantly improving process stability and product accuracy.

[0050] Furthermore, a method for generating modulating force for twin-roll casting and rolling also includes a roll gap adjustment step, wherein the roll gap opening is adjusted during the process to maintain or change the roll gap opening according to process requirements.

[0051] The "roll gap adjustment step" of this invention is used to actively or passively make minute adjustments to the roll gap opening during the modulation force generation process according to real-time process requirements, thereby maintaining the geometric constancy of the roll gap or achieving specific thickness control, pressure distribution, and coupling state correction. This step enhances the adaptive capability of the modulation force coupling system by adjusting the roll gap boundary conditions, making the modulation force generation more stable, controllable, and highly repeatable. Compared with traditional methods relying on fixed roll gaps or external hydraulic loading, this invention provides a dynamic geometric adjustment method based on kinematic constraints, constituting an innovative extension of the control logic of traditional casting and rolling processes.

[0052] Furthermore, a method for generating modulating force for twin-roll casting and rolling, wherein the working surface of the first roll is defined as a first roll surface, and the working surface of the second roll is defined as a second roll surface; the second constraint includes one or more support rolls; the roll surface of the support rolls contacts the first roll surface and / or the second roll surface to restrict the movement of the first roll and / or the second roll relative to a fixed reference.

[0053] Furthermore, a method for generating modulating force for twin-roll casting and rolling, wherein the first motion and / or the second motion are periodic motions relative to a fixed reference.

[0054] Furthermore, a method for generating modulating force for twin-roll casting and rolling, wherein the first motion is a rotational motion about a fixed axis relative to a fixed reference.

[0055] Furthermore, a method for generating modulating force for twin-roll casting and rolling includes adding a substance between the first roll and the second roll during the twin-roll casting process to form a substance action zone; the substance is removed from the substance action zone from the roll gap to become a billet; and a second motion is used to apply a modulating force to the substance action zone.

[0056] Furthermore, in a method for generating modulating force for twin-roll casting and rolling, the geometric center line or rotation center line of the first roll body is defined as the first roll axis; the geometric center line or rotation center line of the second roll body is defined as the second roll axis; in the second motion, with the second roll body as a reference, the first roll body reciprocates around the second roll axis, and its angular displacement changes sinusoidally with time.

[0057] It should be understood that the term "angular motion" as used in this specification and claims refers to the rotation or reciprocating rotation of an object about a fixed axis or an equivalent center of rotation, and its geometric characteristics are as follows: (1) The trajectory of each point on the object is an arc of a circle with the axis as its center; (2) The radius of the object relative to the axis remains constant; (3) The motion state is described by angular displacement, angular velocity and angular acceleration.

[0058] Angular motion can manifest as unidirectional continuous rotation or as periodic reciprocating vibration. When the angular displacement or angular velocity changes according to a sinusoidal law, it is called "sinusoidal reciprocating angular motion".

[0059] In this invention, when the first roller body reciprocates slightly around the second roller shaft under a fixed roller gap, this process constitutes the "angular motion" referred to in this specification. This angular motion is different from translational motion along a straight line and does not change the distance between the first and second roller shafts. Therefore, it can achieve periodic modulation of the pressure or stress field in the material action area while maintaining a constant roller gap.

[0060] In a preferred embodiment, a method for generating modulating force for twin-roll casting and rolling, wherein the second motion includes a low-frequency component and a high-frequency component; wherein the low-frequency component corresponds to a slow change caused by the first motion, and the high-frequency component is a rapidly changing component superimposed on the low-frequency component in time.

[0061] It should be understood that the low-frequency and high-frequency components superimpose in the material interaction zone, thus jointly acting on the material entering between the two rolls. Under engineering conditions, the amplitude and frequency of the high-frequency component are determined by the inherent characteristics and compliance properties of the constraint structure. By introducing the composite characteristics of low-frequency and high-frequency components in the second motion, this invention achieves multi-frequency superposition of the modulation force in the time domain. The high-frequency component does not require independent driving; it can be passively derived through the first motion and the geometric and compliant response of the constraint structure, thereby forming a periodic pulsating pressure wave without adding an additional vibration device. This technical solution, while maintaining a simplified control system, achieves self-excitation and superposition of multi-frequency modulation forces, improving solidification and feeding and microstructure refinement during the casting and rolling process, and effectively reducing the average load and vibration amplitude during rolling, thereby significantly improving forming stability and product quality.

[0062] It should be understood that the high-frequency components are not generated through independent driving, but are passively derived by the geometric and / or compliant characteristics of the constraint structure under the action of the first motion. In other words, the formation of the high-frequency components is a passive response triggered by the structural coupling characteristics of the system itself, rather than being achieved by additional active driving.

[0063] Furthermore, a method for generating modulating force for twin-roll casting and rolling, wherein the frequency of the first motion occurs in the range of 0.1 to 10 Hz.

[0064] Furthermore, a method for generating modulating force for twin-roll casting and rolling, wherein in the second motion, the displacement amplitude of the first roll relative to the second roll is in the range of 10 to 200 micrometers.

[0065] The core idea of ​​this invention lies in establishing a geometric functional dependency between a first motion and a second motion in a roller system with a first roller and a second roller arranged opposite to each other through a constraint relationship. This allows the second motion to respond passively under the influence of the constraint relationship when one type of motion is actively controlled. This constraint relationship can be a structural constraint, a compliant constraint, a hydraulically compliant constraint, or an equivalent geometric constraint. Its essential characteristic is that the functional dependency between motions is defined by geometric conditions. These geometric conditions can be formed through linkages, guide rails, compliant supports, or hydraulically compliant mechanisms, and belong to mechanism constraints with definite kinematic functional relationships. Through this dependency relationship, the system can achieve deterministic motion coupling in the time domain without relying on external synchronous control logic, thereby forming an active and passive linkage mechanism for modulating force.

[0066] In this specification, "constraint" refers to the technical conditions that limit the geometric functional dependence between the first motion and the second motion, which can be achieved through mechanical structures, compliant elements, hydraulic or electromagnetic means; "passive generation" means that under the condition that the constraint relationship exists, the configurational variables of another type of motion respond to the changes of the active motion, and the follower relationship is determined by geometric dependence rather than achieved through external synchronous control.

[0067] Therefore, the scope of protection of this invention covers all active / passive linkage modulation force generation methods based on the above-mentioned geometric constraints, regardless of whether they are implemented by mechanical, hydraulic, pneumatic, electromagnetic or compliant component coupling, all of which should be regarded as equivalent forms of this invention.

[0068] This invention differs substantially from existing technologies in terms of kinematic definition, control logic, and technical effects. Existing technologies generally rely on the functional correlation between control commands, achieving motion coordination through "compensation," "cancellation," or synchronization algorithms. Their coordination depends on the calculation and execution of external control logic, not on the inherent geometric constraints of the system. The principle of "geometric coupling determined by structural constraints" proposed in this invention establishes for the first time at the kinematic level the "geometric inevitability of passive response" as the defining condition for the motion relationship of the roller system. This enables the first and second motions to form an inseparable geometric coupling under the action of the constraint structure, thereby achieving dynamic control of the stress field and load equalization under fixed roll gap conditions.

[0069] Compared with the "method for floating roll gap in twin-roll thin strip" disclosed in Chinese patent application (application number: 2024113379560), this invention differs fundamentally in terms of motion definition, implementation mechanism, and technical effect. The former method achieves apparent synchronization and a constant roll gap by separately controlling the overall motion of the roll system and the relative motion between the two rolls, relying on an external algorithm to coordinate both. This synchronization relationship is a functional association at the control level. In contrast, this invention establishes constraints at the structural level, creating a deterministic passive response between active and passive motion, achieving geometric binding and dynamic balance without relying on an external synchronization algorithm. This implementation path significantly simplifies the control system, reduces the risk of synchronization errors, and helps to achieve dynamic homogenization of the stress field and suppression of load fluctuations under fixed roll gap conditions.

[0070] The modulation force generation principle of this invention is highly compatible with the key requirements of the rolling process. By achieving coupling between the first and second motions through geometric constraints, a controllable low-frequency pulsating pressure component can be introduced without disrupting the roll gap constancy. This alleviates peak stress concentration and improves stress distribution, thereby helping to reduce average rolling force and peak load, and enhancing forming stability and thickness accuracy. The structural coupling relationship ensures a definite kinematic synchronization between the two types of motions, avoiding synchronization errors inherent in independent control methods, making it particularly suitable for rolling applications with extremely high requirements for thickness or shape accuracy.

[0071] The principles of this invention are not only applicable to twin-roll casting and rolling equipment, but can also be extended to hot rolling mills, cold rolling mills, and other rolling systems with relative roll motion characteristics. Its mechanism of action varies in different application scenarios: in twin-roll casting and rolling, it manifests as solidification dynamics control based on coupled motion; in conventional rolling, it manifests as unsteady load control based on geometric coupling; and in cold rolling composite metals, it embodies an interface activation and densification mechanism based on periodic pulsations. These features represent modulation force generation and control paths not previously revealed in existing technologies, constituting a substantial improvement to traditional process control logic and energy transfer methods.

[0072] In summary, this invention achieves simplified control, improved stability, and optimized process performance by establishing a "geometric coupling relationship determined by structural constraints." Its principle is based on kinematic definitions at the structural level, rather than control logic at the algorithm level, providing a new approach to generating modulated force and controlling loads for twin-roll casting and rolling equipment, demonstrating good universality and promotional value.

[0073] Therefore, this invention exhibits comprehensive advantages in structural principles, motion logic, and engineering effects. Through a motion coupling mechanism determined by geometric constraints, this invention not only theoretically achieves a deterministic correlation between active and passive motion, but also provides a new path for the stable generation of modulation force, the homogenization of load distribution, and the constancy of roll gap state in engineering terms. This principle replaces complex control logic with structural constraints and algorithmic compensation mechanisms with geometric determinism, thereby simplifying the control system while improving process stability and product consistency. Consequently, this invention has broad applicability and significant potential for promotion in various types of equipment, including twin-roll casting, hot rolling, cold rolling, and multi-layer rolling, providing a novel kinematic control and energy transfer mode for twin-roll forming technology systems.

[0074] The beneficial effects of the technical solution proposed in this invention are as follows: This invention achieves a fundamental innovation in the modulation force generation mechanism by establishing a geometric coupling relationship determined by structural constraints. Its specific technical effects and implementation advantages are consistent with those described in the invention content section, including: achieving deterministic coordination of active and passive motion at the structural level, simplifying the control system, reducing the risk of synchronization errors, improving stress distribution and load stability, and enhancing the forming quality and system reliability of the casting and rolling processes. To avoid repetition, these details will not be elaborated further here.

[0075] It should be understood that the "modulation force" described in this invention is not generated by changing the geometric spacing of the roll gap, but by controlling the micro-amplitude controlled movement of the drive system, so that the force state inside the system changes periodically in the time domain while keeping the two rolls stationary relative to the ground.

[0076] Specifically: In casting or rolling equipment, the drive system includes a motor, a reducer, and a transmission mechanism for driving the first and second rolls to rotate in opposite directions. When the drive system as a whole undergoes a small controlled motion (e.g., periodically applying a very small displacement or force change), due to the common stiffness differences, asymmetric supports, or non-orthogonal constraints in the equipment structure, the controlled motion will be projected as a very small relative response between the two rolls. Although this relative response is insufficient to cause a measurable change in the geometric opening of the roll gap, it is sufficient to cause a periodic modulation of the normal contact force in the casting or rolling zone. Therefore, the roll gap remains constant in a geometric sense, while in a mechanical sense, periodic normal pressure waves are generated inside the system, realizing a dynamic redistribution of the stress field. This characteristic enables the present invention to introduce controlled dynamic loads without compromising the stability of the roll gap, thereby improving the solidification front morphology, suppressing surface defects, or homogenizing the stress in the deformation zone.

[0077] Although the positions of the two rollers relative to a fixed reference remain constant, and the roll gap geometry does not change, under the action of the constraint structure, the active motion is geometrically transformed into a passive relative displacement between the two rollers, thereby forming a time-varying normal load distribution within the deformation zone. Therefore, the pressure modulation effect of this invention does not originate from external excitation, but is an endogenous dynamic response inherently determined by the geometric constraint relationship of the system.

[0078] It should be understood that the technical solution proposed in this invention can realize the preparation of high-quality aluminum alloy plates, as well as high-quality magnesium, copper and titanium materials using twin-roll casting.

[0079] It should be understood that the technical solution proposed in this invention can realize the preparation of amorphous alloys and electrical steels (high magnetic induction non-oriented electrical steel and high magnetic induction oriented electrical steel) using twin-roll casting. Attached Figure Description

[0080] Figure 1 The diagram shown is a schematic of a horizontal equal-diameter twin-roll casting and rolling mill proposed by Bessemer.

[0081] Figure 2 The above is a schematic diagram of the coupled motion principle of Embodiment 1 of the present invention, wherein: (a) is a schematic diagram of a conventional twin-roll casting and rolling process; (b) is a schematic diagram of the first motion; (c) is a schematic diagram of the second motion, where Δδ represents the magnitude of the displacement of the first roller relative to the second roller in one second motion; (d) is a schematic diagram of the coupling motion principle of the present invention (including an example of trapezoidal modulated pressure wave at the Nip point).

[0082] Figure 3 The diagram shown is a schematic diagram of Embodiment 1 of the present invention (including the guide roller group constraint structure).

[0083] Figure 4 The diagram shown is a schematic diagram of the second motion (the reciprocating angular motion of the first roller around the axis of the second roller) in Embodiment 2 of the present invention.

[0084] Figure 5 The figure shown is a schematic diagram of the sinusoidal law of the modulation pressure (ΔP) changing with time (t) in Embodiment 2 of the present invention.

[0085] The correspondence between the figure numbers in the following figures is as follows: 1. First roller body, 2. Second roller body, 3. Roll gap, 4. Flow distribution device, 5. Material action zone, 6. Free liquid surface, 7. Billet body, 8. Reference plane, 9. Gravity direction, 10. Guide roller one (constraint roller one); 11. Guide roller two (constraint roller two); 12. Guide roller three (constraint roller three); 13. Guide roller four (constraint roller four). Detailed Implementation

[0086] It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.

[0087] The invention will now be described in further detail with reference to the accompanying drawings.

[0088] For ease of explanation, please refer to the following: Figure 1 In the present invention patent application, a plane Ω is arbitrarily selected, and the plane Ω is perpendicular to the first roller shaft; the roller shafts of the first roller body 1 and the second roller body 2 are respectively referred to as the first roller shaft and the second roller shaft; in the natural state, the plane containing the first roller shaft and the second roller shaft is the reference plane 8; in the natural state, the intersection points of the first roller shaft and the second roller shaft with the plane Ω are points O1 and O2, respectively.

[0089] It should be understood that the terms “natural state,” “preparation rate,” and “reference plane” used in this specification have the same technical meaning as those defined in Chinese patent application document No. 2023109424018, and those skilled in the art can understand that their meanings are consistent with those in this application.

[0090] Any embodiment of the present invention or its technical features may constitute further implementations of the present invention, either alone or in any combination. Example 1:

[0091] This embodiment 1 discloses a method for generating modulation force for twin-roll casting and rolling, such as Figure 2 and Figure 3 As shown, the application scenario is low-carbon steel twin-roll casting and rolling. This implementation is based on the core principle of this invention: establishing a deterministic functional dependency between two types of basic motions—the first motion and the second motion—through geometric constraints, enabling the system to form a necessary linkage between active and passive motions in a geometric sense. The terminology used in this embodiment is consistent with that in the "Summary of the Invention" section of this specification and will not be explained again.

[0092] The method is applied to a system including equipment, the equipment having a roller system comprising a first roller 1 and a second roller 2 disposed opposite to each other; wherein, the overall movement of the roller system relative to a fixed reference is defined as a first movement, and the relative movement between the first roller 1 and the second roller 2 is defined as a second movement. The specific steps of the method are as follows: during the process, a first constraint is used to restrict the movement of the roller system relative to a fixed reference, or a second constraint is used to restrict the movement of the first roller 1 and / or the second roller 2 relative to a fixed reference; when the first movement is controlled to occur, the second movement is passively generated under the action of the second constraint; when the second movement is controlled to occur, the first movement is passively generated under the action of the first constraint.

[0093] For ease of implementation and review, the semantics of constraints in this specification are consistent with the claims: The second constraint restricts the movement of the first and / or second rollers relative to a fixed reference, preferably implemented as one or more support rollers in contact with the roller surface (the roller surface of the support roller contacts the first and / or second roller surfaces to form a geometric constraint); the first constraint limits the movement and attitude of the entire roller system relative to a fixed reference, and can be implemented through guiding, compliant support, hydraulic compliance, or electromagnetic constraint, etc., and is generally not necessarily required to be in direct contact with the roller surface. The two types of constraints are mutually exclusive under the same operating conditions to avoid over-constraining the corresponding degrees of freedom. When the first motion is the active input, the second constraint takes effect, and the second motion is passively derived from the geometric relationship of the second constraint; when the second motion is the active input, the first constraint takes effect, and the first motion is passively derived under the constraint. To avoid ambiguity, this specification does not make any "adjustments as needed" changes to the semantics of the above terms.

[0094] The accompanying drawings of this embodiment illustrate a typical structural form of the second constraint, used to explain the working process when the second constraint is in effect. The system includes a twin-roll casting and rolling mill, which is equipped with a roll system and a constraint structure. The roll system consists of a first roll 1 and a second roll 2 arranged opposite each other. The minimum distance between the two rolls is the roll gap 3, the geometric midpoint of the roll gap is the Nip point, and the area where the two rolls contact the material to be processed is the material action zone 5. To limit the movement of the first roll 1 and / or the second roll 2 relative to a fixed reference (such as a frame or foundation), this embodiment only sets up the second constraint structure and does not install or use the first constraint. The second constraint is implemented using a guide roll assembly, such as... Figure 3 As shown.

[0095] The guide roller assembly consists of guide roller 10, guide roller 21, guide roller 32, and guide roller 43, and is installed on both sides of the frame. Guide roller 10 and guide roller 21 mate with the working surface (first roller surface) of the first roller body 1, and guide roller 32 and guide roller 43 mate with the working surface (second roller surface) of the second roller body 2. By setting the position, contact angle, and support stiffness of the guide rollers, a geometric constraint relationship is formed to constrain the direction and amplitude of the ground motion of the two roller bodies, thereby establishing a definite geometric mapping between the first motion and the second motion in the structure.

[0096] During the manufacturing process, the driving mechanism causes the entire roller system to generate a preset first motion relative to a fixed reference. This motion can be a periodic reciprocating translation, a periodic rotation around a fixed axis, or a combination of both. Preferably, the motion frequency is in the range of 0.1–10 Hz, and the motion amplitude is in the range of 10–200 μm. Under the geometric constraints of the guide roller assembly, a second motion is passively generated between the two rollers from the first motion; the phase and amplitude of the second motion are jointly determined by the guide roller arrangement angle, contact point distribution, and support stiffness. By adjusting the contact position, preload, and angle of the guide roller assembly, different modulation frequencies and load waveforms can be achieved, thereby generating a periodic modulation force in the roller gap region 3.

[0097] The specific operating steps are as follows: (1) Adjust the contact position, preload and angle of the guide roller assembly to ensure that the guide rollers restrict the position of the two rollers to the ground in accordance with the design requirements; (2) Calibrate the roll gap 3 opening to make it reach the preset process value and keep it constant; (3) Start the drive mechanism to make the roller system move as a whole, and monitor its displacement and load waveforms through displacement sensor and force sensor; (4) Under the constraint of the guide roller group, the second motion is generated in a passive form; (5) The pressure waveform in the roll gap area and the surface condition of the billet are collected by the monitoring device. If the modulation characteristics deviate from the expected values, the guide roller parameters or drive parameters are adjusted to correct them.

[0098] Under the aforementioned structure and operating conditions, the active motion (first motion) is passively derived into a second motion through the geometric constraints of the guide roller group, forming a single-constraint geometric coupling mode. This mode does not rely on complex control algorithms, and the active and passive motions maintain a definite geometric correspondence, thereby achieving periodic load modulation without changing the average roll gap opening. This allows for the formation of time-varying stress and velocity field distributions in the material action zone 5, improving metal flow and solidification conditions, reducing the risk of macroscopic segregation and surface defects, and enhancing the density and surface quality of the billet 7.

[0099] Under constant average roll gap conditions, the system can generate a stable modulated force waveform through experiments or simulations, and the first and second movements maintain high synchronization; no significant phase lag or amplitude deviation is observed within the engineering tolerance. The equipment operates smoothly, the guide rollers experience minimal wear, and the constraint accuracy can be maintained over a long period. In summary, this embodiment achieves the geometric coupling relationship between the first and second movements by configuring only the second constraint structure, satisfying the principle requirement of claim 1 that "controlling any one movement causes the other movement to be passively generated under constraint," demonstrating the engineering feasibility of achieving deterministic motion coupling under extremely simple structural conditions.

[0100] It should be understood that, Figure 2 and Figure 3 This is merely an illustrative representation of the principle of the invention. The proportional relationships of components such as the first roller 1, the second roller 2, and the roller gap 3 in the figure may differ from actual equipment. The purpose of the figures is only to clearly illustrate the technical features of the invention, and not to reflect actual geometric dimensions or proportions. Those skilled in the art can implement the invention based on this without creative effort; therefore, the scope of protection of the invention is not limited by the proportions, shape differences, or structural simplifications in the figures.

[0101] This embodiment is also disclosed as a preferred implementation method currently considered by the applicant, illustrating the path to achieving optimal process stability and load modulation effect under low-carbon steel twin-roll casting conditions, as believed by the applicant at the time of application. It should be understood that this embodiment represents only one of the best implementation methods currently available to the applicant; other solutions employing different driving mechanisms, constraint forms, or motion parameters but achieving the same geometric coupling relationship are all equivalent implementations of this invention. Example 2:

[0102] This embodiment 2 discloses a method for generating modulation force for twin-roll casting and rolling, such as... Figure 4 and Figure 5 As shown, the application scenario is the rolling of 6-series aluminum alloys, based on the core principles proposed in the "Invention Content".

[0103] In this embodiment, the method is applied to a system including a roller system; the roller system includes a first roller 1 and a second roller 2 disposed opposite to each other. The overall motion of the roller system relative to a fixed reference is defined as the first motion, and the relative motion between the first roller 1 and the second roller 2 is defined as the second motion.

[0104] The system also includes constraints; the constraints are used to define the functional dependency between the first motion and the second motion in a geometric sense; the constraints define that the configuration variables of the first motion and the configuration variables of the second motion satisfy certain geometric constraint conditions in the time domain; when one of the first motion or the second motion is actively changed, the other type of motion is passively generated under the action of the constraint, thereby forming an active-passive coupled motion mode.

[0105] "Geometrically constrained" means that the functional dependency between two types of motion is determined by the spatial position, attitude, and relative trajectory of the components in the system. This dependency is directly determined by geometric conditions, rather than by external control signals or mechanical equilibrium feedback; therefore, it belongs to geometric constraint relationships based on configuration variables. In other words, the constraint relationship originates from the system's geometric structure itself. When one type of motion undergoes an active change, the other type of motion will inevitably produce a corresponding passive response under the constraint.

[0106] In this embodiment, two types of configuration variables, q1 and q2 (used to describe the first motion and the second motion, respectively), satisfy a defined geometric constraint equation in the time domain: f(q1,q2,t)=0, where q1 and q2 are independent generalized parameters describing the geometric state of the system, uniquely determining the geometric configuration of the system at any given time. This constraint equation reveals the geometric functional dependency of the system: when one type of configuration variable is actively controlled and changes, the other type of configuration variable will inevitably respond passively under the constraint, thus forming a necessary coupling between the first motion and the second motion at the geometric level.

[0107] The aforementioned statement, "constraints limit...to satisfy definite geometric constraint relationships in the time domain," can be equivalently described as follows: constraints establish functional dependence, geometric mapping, or correspondence rules between the first and second motions at the geometric level, ensuring a definite geometric correspondence between their configuration variables in the time domain. Regardless of the specific terminology used, such as "geometric correspondence," "functional dependence," "mapping rule," or "geometric coupling," it all refers to constraints geometrically defining a definite correspondence between two types of motions, ensuring that a change in any one motion necessarily causes a definite response in the other. This correspondence is inherently determined by the structural design, rather than through external control signals or load feedback; therefore, it is a geometrically necessary dependency.

[0108] In practical implementation, constraints can be achieved through compliant support components, whose geometric action is equivalent to the functional dependency formed by rigid linkage mechanisms. The same geometric functional dependency can also be achieved using hydraulic compliant mechanisms, electromagnetic support devices, or mechanical differential mechanisms. These different structural forms can all determine the functional correspondence between the first and second motions at the geometric level, enabling the system to maintain definite geometric response characteristics in the time domain.

[0109] In a twin-roll casting or rolling system, the configuration variables of the first motion describe the geometric state of the entire roll system relative to a fixed reference, such as the relative position of the stand and the roll system, overall translation, or oscillation. The configuration variables of the second motion describe the relative geometric state between the first roll 1 and the second roll 2, such as the center distance between the two rolls, the roll gap, the relative angle, or the axial offset. When geometric constraints exist, the two motions satisfy a functional relationship f(q1,q2,t)=0 determined by the system configuration. By controlling the active change of one type of motion, the other type of motion can generate a passive response under the constraint, thereby forming a geometrically necessary modulating force while keeping the roll gap 3 constant. This modulating force can manifest as periodic or aperiodic pressure waves to improve the stress and velocity distribution in the casting or rolling zone, thereby improving process stability and strip surface quality.

[0110] The different constraint forms, functional relationships, and implementation methods mentioned above are technically equivalent and all constitute different ways of implementing the geometric constraint effect described in this invention.

[0111] like Figure 4 As shown, in this embodiment, the second motion is manifested as the oscillating motion of the second roller 2 relative to the first roller 1. The frequency of the reciprocating motion is in the range of 1 to 5 Hz, the amplitude does not exceed 200 μm, and the preparation speed is approximately 0.3 m / s. Figure 5 The modulation pressure ΔP generated by the system under the second motion is shown. The modulation pressure ΔP varies sinusoidally, and its amplitude p0 and period T are controllable parameters determined by the control system or structural geometry. The modulation pressure frequency f = 1 / T, which is in the range of 0.5 to 5 Hz.

[0112] In another preferred scenario, the functional relationship between the two types of motion can be specifically expressed as: q2 = A⋅sin(ωt+φ) + q1, meaning the second motion changes sinusoidally with time. This relationship is equivalent to the aforementioned constraint equation, reflecting the functional dependence characteristic determined by the geometric constraint structure.

[0113] This invention utilizes structural constraints to achieve the modulation force generation principle of roller motion coupling. It is applicable not only to low-carbon steel casting and rolling and aluminum alloy rolling, but can also be extended to the following scenarios (which are equivalent applications based on the core principle and do not require changes to the constraint coupling logic): Rolling of copper sheet: First motion frequency 3-6Hz, second motion amplitude 80-150μm, roll gap 1.2-2.5mm, to adapt to the high thermal conductivity and easy deformation characteristics of copper, and enhance the dynamic load effect through higher displacement amplitude; Multilayer metal rolling: Utilizing pulsating pressure to promote diffusion bonding at the multilayer interface, reducing interface voids and delamination defects; Semi-solid rolling: Low-frequency (0.1~0.5Hz) first motion is used to avoid the instability of semi-solid slurry flow.

[0114] This embodiment 2 achieves an active-passive coupling modulation force generation mechanism by defining the functional dependence between the first motion and the second motion at the geometric level. It has good adaptability and promotion value under various alloy systems and process conditions.

[0115] In summary, this embodiment embodies another preferred implementation of the principles of the invention under aluminum alloy rolling conditions, and can also be considered by the applicant as the best implementation in such material systems. This description is only intended to satisfy the "best manner of disclosure" requirement of U.S. Patent 112(a) and does not constitute a limitation of the invention.

[0116] It should be understood that this invention is not limited to horizontal equal-diameter double-roller equipment. Any double-roller structure with opposing rollers that can achieve a coupling relationship between active and passive motion under constraint can employ the technical solution of this invention (such as unequal-diameter or vertical double-roller equipment). The specific form of the double-roller equipment (classified by roller diameter, placement method, and blank drawing direction) does not constitute a limitation on the scope of protection of this invention.

[0117] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and are not intended to limit it. Although the present invention has been described in detail with reference to the embodiments, those skilled in the art can still make various modifications, equivalent substitutions or combinations to the specific embodiments after reading this specification, without departing from the principles and essence of the present invention. All such modifications or changes should be considered to fall within the scope of protection claimed in this application.

Claims

1. A method for generating modulating force for twin-roll casting and rolling, characterized in that: The method is applied to a system including a roller system and constraints, the roller system including a first roller body and a second roller body disposed opposite to each other; the overall motion of the roller system relative to a fixed reference is defined as a first motion, and the relative motion between the first roller body and the second roller body is defined as a second motion; The method includes the following steps: The control causes a change in either the first or the second movement; under the constraint, the other movement is generated passively.

2. The method for generating modulating force for twin-roll casting and rolling according to claim 1, characterized in that: The minimum distance between the first roller and the second roller is defined as the roller gap, and the geometric midpoint of the roller gap is defined as the Nip point; the moving speed of the blank at the Nip point is defined as the preparation speed; the moving speed of the Nip point caused by the relative motion between the first roller and the second roller is defined as the floating speed. During the second motion, the inner product of the floating velocity and the preparation velocity is less than zero.

3. The method for generating modulating force for twin-roll casting and rolling according to claim 1, characterized in that: During the first movement, within the engineering tolerance, the ground position of the first roller and / or the second roller remains unchanged.

4. The method for generating modulating force for twin-roll casting and rolling according to claim 1, characterized in that: The working surface of the first roller body is defined as the first roller surface, and the working surface of the second roller body is defined as the second roller surface; The second constraint includes one or more support rollers; The roller surface of the support roller body contacts the first roller surface and / or the second roller surface to restrict the movement of the first roller body and / or the second roller body relative to a fixed reference.

5. The method for generating modulating force for twin-roll casting and rolling according to claim 1, characterized in that: The first motion and / or the second motion have periodic characteristics in time.

6. The method for generating modulating force for twin-roll casting and rolling according to claim 1, characterized in that: The first motion and / or the second motion are rotational motions about a fixed axis relative to a fixed reference.

7. The method for generating modulating force for twin-roll casting and rolling according to claim 1, characterized in that: The geometric center line or rotation center line of the first roller is defined as the first roller axis; the geometric center line or rotation center line of the second roller is defined as the second roller axis; in the second motion, with the second roller as a reference, the first roller reciprocates around the second roller axis, and its angular displacement changes sinusoidally with time.

8. The method for generating modulating force for twin-roll casting and rolling according to claim 1, characterized in that: The second motion includes low-frequency components and high-frequency components; The low-frequency component corresponds to the slow change caused by the first motion, and the high-frequency component is a rapidly changing component that is superimposed on the low-frequency component in time.

9. A method for generating modulating force for twin-roll casting and rolling according to claim 1, characterized in that: The frequency of the first motion is in the range of 0.1 to 10 Hz.

10. A method for generating modulating force for twin-roll casting and rolling according to claim 1, characterized in that: In the second motion, the displacement amplitude of the first roller relative to the second roller is in the range of 10 to 200 micrometers.

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