Method, optimization method and system for recursively calculating pressure in reel under action of cable
Patent Information
- Application Number
- CN202610694631.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2026-05-20
- Publication Date
- 2026-09-08
- Estimated Expiration
- 2046-05-20
AI Technical Summary
[0005]针对现有技术的以上缺陷或改进需求中的一种或者多种，本发明提供了一种缆索作用下卷筒内压力递推计算方法、优化方法及系统，能够解决现有技术中忽略多层缆索弹性变形协调而导致卷筒壳体内压力等物理参数计算不精确等问题
（1）本发明的缆索作用下卷筒内压力递推计算方法，其通过引入弹性变形协调关系，得到多层缠绕下卷筒内压力与各层缆索缠绕张力之间的递推关系，并基于该递推关系计算缆索n层缠绕时卷筒所受内压力，有效解决了现有技术中忽略多层缆索弹性变形协调而导致卷筒壳体内压力计算不精确等问题。
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Abstract
Description
Technical Field
[0001] This invention belongs to the field of mechanical design and structural mechanics analysis technology, specifically relating to a recursive calculation method, optimization method and system for the pressure inside a winch drum under the action of multiple cables. Background Technology
[0002] A winch (or hoist, winch disc) is an engineering machine used to store, release, and retrieve specific cables. It is widely used in construction, power, mining, bridge construction, logistics, agriculture and forestry, manufacturing, transportation, shipbuilding and marine engineering, emergency rescue, and military defense. The drum is the core component of the winch; its physical form is a hollow cylinder with a certain wall thickness, made of metal or composite materials such as fiberglass. Driven by a power source, it rotates to achieve cable storage, release, and retrieval. In the aforementioned applications, the winding of multiple layers of cable onto the drum is the core working principle. As a key load-bearing component that bears the entire tension of the cable, the accurate calculation of its internal stress directly affects the safety of the equipment and the economic efficiency of its structural design.
[0003] Currently, there are two methods for calculating the stress on a winding drum in engineering: one is based on the multi-layer winding coefficient method, and the other is the linear superposition method. The linear superposition method simply equates the internal tension of multiple layers to a multiple of the internal tension of a single layer; that is, the equivalent internal tension under n layers of winding is equal to n times the internal tension of a single layer. This leads to over-design, resulting in material waste and a bulky structure, and it ignores the redistribution of internal forces caused by the coordinated elastic deformation of each layer of cable during multi-layer winding.
[0004] Regarding the multi-layer winding coefficient method, as described by author Yan Jingfeng in his paper "Simulation and Analysis of Wire Rope Winding System for Large Cranes," a formula is used... To calculate the internal stress of the drum under multi-layer winding, A is the multi-layer winding coefficient; when there are 2 layers of winding, A equals 1.4; when there are 3 layers of winding, A equals 1.8; and when the number of layers is ≥4, it is uniformly equal to 2. For example, in the standard GB / T 1995-2008 Construction Winch, the formula... To calculate the internal stress of the drum under multi-layer winding, Similarly, for multi-layer winding coefficients, n represents the total number of layers; when there is only one layer of winding... Equal to 0.65, when there are 2 layers of winding. Equals 1.15, when there are 3 layers of winding. Equals 1.45, when there are a total of 4 layers of winding. It equals 1.55 when the number of layers n≥5. The uniform value is 1.6. From the calculation methods of these two multi-layer winding coefficient methods, we can see that: First, the calculation results of the two formulas are not the same, making it impossible for designers to determine which method is closer to reality; second, neither formula accurately considers the redistribution of internal forces caused by elastic deformation coordination, but rather uses different coefficients to simply reflect this effect, leading to a significant deviation from reality. This deviation increases with the number of layers, potentially causing significant safety risks when pursuing lightweight designs due to design deviations from reality. Summary of the Invention
[0005] In view of one or more of the above-mentioned defects or improvement needs of the prior art, the present invention provides a method, optimization method and system for recursive calculation of pressure inside the drum under the action of cable, which can solve the problem that the calculation of physical parameters such as pressure inside the drum shell is inaccurate due to neglecting the coordination of elastic deformation of multiple layers of cable in the prior art.
[0006] To achieve the above objectives, one aspect of the present invention provides a method for recursively calculating the pressure inside a drum under cable action, comprising the following steps: S1: Obtain the geometric and material parameters of the drum, the geometric and material parameters of the cable, and the winding tension of each layer of cable; S2: Based on the forces acting on the drum and cable, establish the mechanical equilibrium equations between the drum and cable; S3: Using the mechanical equilibrium equation, based on the deformation compatibility relationship and Hooke's law, determine the recursive relationship between the pressure inside the drum and the winding tension of each layer of cable under multi-layer winding; S4: Based on the recursive relationship, calculate the internal pressure on the drum when it is wound to n layers of cable.
[0007] As a further improvement of the present invention, in step S3, the deformation coordination relationship is as follows: the circumferential strain of the drum and the inner cable are equal in magnitude and opposite in sign; the inner cable is the 1st to (n-1)th layer of cable from the inside out.
[0008] As a further improvement of the present invention, in step S3, the recursive relation expression is:
[0009]
[0010] in, Let be the internal pressure of the drum when n layers of cable are wound, and m be the stiffness ratio parameter. Let be the winding tension of the i-th layer of cable. The elastic modulus of the cable material. The cross-sectional area of the cable. The elastic modulus of the roll material. This is the cross-sectional area of the drum under stress.
[0011] As a further improvement of the present invention, the formula for calculating the cross-sectional area of the cable is as follows:
[0012] The formula for calculating the cross-sectional area of the drum under stress is:
[0013] Where d is the cable diameter and t is the thickness of the inner wall of the drum.
[0014] As a further improvement of the present invention, step S5 is also included: based on the calculated internal pressure of the drum... Calculate at least one of the following physical parameters: Internal stress of the drum:
[0015] Radial uniform pressure on the outer surface of the drum:
[0016] Strain of the drum:
[0017] Change in drum diameter:
[0018] Where D is the outer diameter of the drum.
[0019] As a further improvement of the present invention, the geometric parameters of the drum include at least the outer diameter, inner wall thickness, and width; the material parameters of the drum include at least the elastic modulus; the geometric parameters of the cable include at least the cable diameter; and the material parameters of the cable include at least the elastic modulus of the cable material.
[0020] Another aspect of the present invention provides a method for optimizing a roll structure, comprising the following steps: (1) Set the geometric and material parameters of the drum to be optimized, the geometric and material parameters of the cable, the number of pre-wound layers, and the pre-wound tension of each layer of cable; (2) Calculate the internal pressure of the drum under the initial design parameters using the above-mentioned recursive calculation method of the internal pressure of the drum under the action of the cable; (3) Calculate the constraint index of the roll; (4) Determine whether the constraint index meets the preset safety constraint conditions; if all constraint indexes meet the constraint conditions, then the initial geometric parameter is used as the final optimization parameter of the roll structure; if any constraint index does not meet the constraint conditions, then adjust the geometric parameter corresponding to the roll and repeat steps (2) to (3) until all constraint indexes meet the constraint conditions, and use the geometric parameter that meets the constraint conditions as the final optimization parameter of the roll structure.
[0021] As a further improvement of the present invention, the constraint index includes at least one of the following: internal stress of the drum, change in drum diameter, and weight of the drum.
[0022] As a further improvement of the present invention, when the internal stress of the drum exceeds the yield strength of the drum material, the inner wall thickness of the drum is adjusted; when the change in the drum diameter is greater than a set threshold, the inner wall thickness and outer diameter of the drum are adjusted; when the weight of the drum is greater than a set threshold, the inner wall thickness, outer diameter and width of the drum are adjusted.
[0023] In another aspect, the present invention provides an optimization system for a roll structure, for implementing the above-described optimization method, comprising: The parameter input module is used to input the geometric and material parameters of the drum, the geometric and material parameters of the cable, the pre-winding tension of each layer of cable, and the number of pre-winding layers. The model building module is used to calculate the internal pressure and internal stress on the drum; The iterative calculation module is used to calculate each constraint index, determine whether each constraint index meets the constraint conditions, and adjust the geometric parameters of the roll when the constraint index does not meet the constraint conditions, and trigger the model building module to recalculate. The results output module is used to output the final optimized parameters of the roll.
[0024] The aforementioned improved technical features can be combined with each other as long as they do not conflict with each other.
[0025] In summary, the beneficial effects of the above-described technical solutions conceived by this invention compared with the prior art include: (1) The recursive calculation method of the drum pressure under the action of the cable of the present invention obtains the recursive relationship between the drum pressure under multi-layer winding and the winding tension of each layer of cable by introducing the elastic deformation coordination relationship, and calculates the internal pressure of the drum when the cable is wound in n layers based on the recursive relationship, which effectively solves the problem of inaccurate calculation of the drum shell pressure caused by ignoring the elastic deformation coordination of multi-layer cable in the prior art.
[0026] (2) The recursive calculation method of the pressure inside the drum under the action of the cable of the present invention introduces the stiffness ratio parameter m into the relevant formula of the recursive relationship, which comprehensively reflects the stiffness comparison between the drum and the cable, and is applicable to various material combinations and structural dimensions, with good universality.
[0027] (3) The optimization method and system of the drum structure of the present invention can, under the premise of determining the cable winding requirements, adjust the geometric parameters of the drum to adjust the stiffness ratio of the drum and the cable through iterative calculation, thereby optimizing the structural stress distribution, so that the drum structure parameters reach the optimal solution, and achieve a balance between lightweight and safety. Attached Figure Description
[0028] To more clearly illustrate the technical solutions in the embodiments of the present invention, the accompanying drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0029] Figure 1 This is a schematic diagram of the structure of the roll in an embodiment of the present invention; Figure 2 This is a schematic cross-sectional view of the cable in an embodiment of the present invention; Figure 3 This is a force diagram of the cable and the drum when only one layer of cable is wound around the drum in an embodiment of the present invention; Figure 4 This is a force diagram of the cable and the drum when two layers of cable are wound around the drum in an embodiment of the present invention; Figure 5 This is a force diagram of the cable and the drum when three layers of cable are wound around the drum in an embodiment of the present invention; Figure 6 This is a force diagram of the cable and the drum when n layers of cable are wound around the drum in an embodiment of the present invention; Figure 7 This is a flowchart of the optimization method and system for the roll structure in an embodiment of the present invention.
[0030] In all the accompanying drawings, the same reference numerals denote the same technical features, specifically: 1. drum; 2. cable. Detailed Implementation
[0031] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention. Furthermore, the technical features involved in the various embodiments of this invention described below can be combined with each other as long as they do not conflict with each other.
[0032] In the description of this invention, it should be understood that, unless otherwise expressly specified and limited, the terms "center," "longitudinal," "lateral," "length," "width," "thickness," "upper," "lower," "front," "rear," "left," "right," "vertical," "horizontal," "top," "bottom," "inner," "outer," "clockwise," "counterclockwise," "axial," "radial," "circumferential," etc., indicating the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings, are only for the convenience of describing this invention and simplifying the description, and are not intended to indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation of this invention.
[0033] Furthermore, unless otherwise expressly specified and limited, the terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the number of indicated technical features. Thus, a feature defined as "first" or "second" may explicitly or implicitly include at least one of that feature. In the description of this invention, "a plurality of" means at least two, such as two, three, etc., unless otherwise expressly and specifically limited.
[0034] In this invention, unless otherwise explicitly specified and limited, the terms "installation," "connection," "linking," and "fixing," etc., should be interpreted broadly. For example, they can refer to a fixed connection, a detachable connection, or an integral part; they can refer to a mechanical connection or an electrical connection; they can refer to a direct connection or an indirect connection through an intermediate medium; they can refer to the internal communication of two components or the interaction between two components, unless otherwise explicitly limited. Those skilled in the art can understand the specific meaning of the above terms in this invention according to the specific circumstances.
[0035] In this invention, unless otherwise explicitly specified and limited, "above" or "below" the second feature can mean that the first feature is in direct contact with the second feature, or that the first feature is in indirect contact with the second feature through an intermediate medium. Furthermore, "above," "over," and "on top" of the second feature can mean that the first feature is directly above or diagonally above the second feature, or simply that the first feature is at a higher horizontal level than the second feature. "Below," "below," and "under" the second feature can mean that the first feature is directly below or diagonally below the second feature, or simply that the first feature is at a lower horizontal level than the second feature.
[0036] Example: Please see Figures 1-7 The recursive calculation method for the pressure inside the drum under the action of the cable in a preferred embodiment of the present invention includes the following steps: S1: Obtain the geometric and material parameters of the drum, the geometric and material parameters of the cable, and the winding tension of each layer of cable; Specifically, such as Figures 1-2 As shown, the geometric parameters of the drum include at least the outer diameter D, inner wall thickness t, width B, and force-bearing cross-sectional area. (like Figure 1 (shaded areas, etc.); the material parameters of the roll include at least the elastic modulus. The cable's geometric parameters include at least its diameter d and cross-sectional area. etc.; the material parameters of the cable should at least include the elastic modulus of the cable material. The winding tension of each layer of cable can be the same or different.
[0037] The formula for calculating the cross-sectional area of the drum under stress is as follows:
[0038] The formula for calculating the cross-sectional area of a cable is:
[0039] S2: Based on the forces acting on the drum and cable, establish the mechanical equilibrium equations between the drum and cable; The following details the process assuming that the winding tension of each layer of cable 2 is F: When only one layer of cable 2 is wound around drum 1, the forces on cable 2 and drum 1 are as follows: Figure 3 As shown in the image.
[0040] The internal tension of the first layer cable 2 and tensile stress They are respectively: ; ; Establish mechanical equilibrium equations Calculate the internal pressure of drum 1 and and internal stress They are respectively: ; ; When two layers of cable 2 are wound on drum 1, the forces acting on cable 2 and drum 1 are as follows: Figure 4 As shown in the image.
[0041] The internal tension of the second layer cable 2 and tensile stress They are respectively: ; ; The internal tension of the first layer cable 2 and tensile stress They are respectively: ; ; Establish mechanical equilibrium equations The following parameters can be derived: ; ; When three layers of cable are wound around the drum, the force analysis diagram is as follows: Figure 5 As shown.
[0042] Since the first and second layers of cable 2 have the same material and elastic modulus, the first and second layers of cable 2 can be combined and equivalent to an area of [missing information]. Since it is a loop of steel cable, the calculation can be performed using the method described above: The internal tension of the third layer cable 2 and tensile stress They are respectively: ; ; The combined equivalent internal tension and tensile stress of the first and second layer cables 2 are as follows: ; ; The internal pressure and internal stress of drum 1 are respectively: ; ; According to the force balance relationship:
[0043] S4: Using the mechanical equilibrium equation, based on the deformation coordination relationship and Hooke's law, determine the recursive relationship between the pressure inside the drum and the winding tension of each layer of cable under multi-layer winding.
[0044] The deformation coordination relationship is as follows: when the multi-layer cable 2 is wound on the drum 1, the circumferential strain of the drum 1 and the cable 2 that is in close contact with the drum 1 are equal in magnitude but opposite in sign.
[0045] Specifically, when two layers of cable 2 are wound on drum 1, after the second layer of cable 2 is wound, drum 1 and the first layer of cable 2 will be compressed and deformed simultaneously. According to the deformation coordination relationship, the circumferential strain of drum 1 is equal to the circumferential strain of the layer of cable 2 that is in close contact with drum 1, that is... As drum 1 contracts, cable 2 experiences a release elongation effect; therefore, their strains have opposite signs, according to Hooke's Law: ; ; ; Define stiffness ratio parameter Then we can get: ; Therefore, we can conclude that: ; ; When three layers of cable 2 are wound on drum 1, since the drum 1, the first layer, and the second layer of cable 2 will all be compressed and deformed after the third layer of cable 2 is wound on, Hooke's Law states: ; ; ; ; ; Furthermore, we can obtain: ; Right now: ; Accordingly, when a total of n layers of cable 2 are wound on drum 1, the force diagrams of each layer of cable 2 and drum 1 are as follows: Figure 6 As shown in the image.
[0046] When the tension of each layer of cable 2 is the same, as described above and The formula can be used to derive a general formula for calculating the internal pressure of the multi-layer wound drum 1: ; When the tension of each layer of cable 2 is different, let the tension of the first layer of cable 2 be... The tension of the second layer cable 2 is , The tension of the nth layer cable 2 is Then, it can be obtained using the method described above: ; ; ; ; Based on the above, the general recursive formula for when the winding tension of each layer of cable 2 is the same or different is: ; in Let be the winding tension of the i-th layer of cable.
[0047] As can be seen from the above formula, the larger m is, the better. The smaller the value of m, the less the resultant force on the drum 1 will be, meaning that increasing the rigidity of cable 2 or decreasing the rigidity of drum 1 will reduce the resultant force on drum 1, which in extreme cases is equal to the tension of a single layer of cable 2; the smaller the value of m, the less the resultant force on drum 1 will be. The larger it is, the more extreme the case where m=0. That is, the equivalent tension borne by the drum is the sum of the tensions of each layer of cable.
[0048] because Therefore, under the winding of multiple layers of cable 2, the pressure inside the drum 1 is a parameter related to the cable diameter, cable tension, cable elastic modulus, drum wall thickness, and drum elastic modulus.
[0049] S5: The pressure inside the lower drum 1 obtained by calculation of the n-layer cable 2 winding. The formulas for calculating other physical parameters of drum 1 are as follows: Internal stress of the drum: ; Radial uniform pressure on the outer surface of the drum: ; Strain of the drum: ; Change in drum diameter: ; Furthermore, the present invention also provides a method for optimizing the roll structure, such as... Figure 7 As shown, the steps include: (1) Set the initial geometric and material parameters of the drum to be optimized, the geometric and material parameters of the cable, the number of pre-wound layers n, and the pre-wound tension of each layer of cable; The initial design parameters of the roll structure include diameter ,thickness ,width Elastic modulus Yield strength of roll material The parameters of cable 2 include diameter. Elastic modulus Tension of cables at each layer The number of pre-wound layers is n.
[0050] (2) Calculate the internal pressure of the drum under the initial design parameters using the above-mentioned recursive calculation method of the internal pressure of the drum under the action of the cable; like Figure 7 As shown in the figure, the initial design parameters are first calculated. and Then, the value of m is calculated, and then a physical model is constructed sequentially when the cable is wound from one layer to n layers. The internal tension and tensile stress of the cable under each layer of winding, and the internal pressure and internal stress of the drum 1 are calculated.
[0051] (3) Calculate the constraint parameters of the roll; such as Figure 7 As shown, the constraint index includes at least one of the following: internal stress of the drum, change in drum diameter, and drum weight.
[0052] (4) Determine whether the constraint index meets the preset safety constraint conditions; if all constraint indexes meet the constraint conditions, then the initial geometric parameter is used as the final optimization parameter of the roll structure; if any constraint index does not meet the constraint conditions, then adjust the geometric parameter corresponding to the roll and repeat steps (2) to (3) until all constraint indexes meet the constraint conditions, and use the geometric parameter that meets the constraint conditions as the final optimization parameter of the roll structure.
[0053] like Figure 7 As shown, the constraint condition corresponding to the internal stress on the drum is the internal stress. Not exceeding the yield strength of the roll material The constraint condition for the change in the drum diameter is that the change does not exceed a set threshold. The constraint condition for the weight of the roll is that the weight M does not exceed a set threshold. .
[0054] In actual operation, when the internal stress of the drum exceeds the yield strength of the drum material, adjust the inner wall thickness of the drum; when the change in the drum diameter is greater than the set threshold, adjust the inner wall thickness and outer diameter of the drum; when the weight of the drum is greater than the set threshold, adjust the inner wall thickness, outer diameter and width of the drum.
[0055] Furthermore, the present invention also provides an optimization system for a roll structure, used to implement the above-described optimization method, such as... Figure 7 As shown, it includes: The parameter input module is used to input the geometric and material parameters of the drum, the geometric and material parameters of the cable, the pre-winding tension of each layer of cable, and the number of pre-winding layers. The model building module is used to calculate the internal pressure and internal stress on the drum; The iterative calculation module is used to calculate the constraint indicators of the roll, such as the diameter change and the weight of the roll, and to determine whether each constraint indicator meets the constraint conditions; and when the constraint indicator does not meet the constraint conditions, the initial geometric parameters are adjusted and the model building module is triggered to recalculate. The results output module is used to output the final optimized parameters of the roll.
[0056] In a specific embodiment of the present invention, the above-described recursive calculation method, optimization method, and optimization system are used to perform safety verification and optimization of a crane drum. The drum material is steel. , outer diameter of the drum Roll wall thickness Cable diameter , The total number of winding layers is five, and the tension F of each layer of cable is 1000kg; the strength requirement is met, and the radial deformation of the drum after winding is not greater than 4.5mm.
[0057] The internal stress of the drum is calculated and the strength of the drum is checked according to the calculation method in this invention. The structure of the drum 1 is optimized by the calculation system derived from this invention.
[0058] 1. Calculate the following relevant parameters based on the known parameters above. cross-sectional area of the drum under stress
[0059] Cable cross-sectional area
[0060] stiffness ratio parameter
[0061] The parameters that need to be calculated are and .
[0062] 2. Using the recursive formula of the present invention, calculate the internal pressure, internal stress and radial deformation of the drum under the condition of five layers of cable 2.
[0063] Substituting m and F into the general recursive formula derived in this invention, we obtain:
[0064]
[0065]
[0066]
[0067]
[0068]
[0069]
[0070] The calculations above show that the internal stress of 181.47 MPa on the drum 1 with five layers of cable 2 wound around it is much less than the yield strength of the drum material. The radial deformation of drum 1 is much less than 4.5mm, the strength meets the material requirements, and the radial deformation is also within the required range, but the design margin is too large and needs to be optimized.
[0071] By optimizing the device using the optimization method and system of this invention, the t value was reduced to 25 mm. The internal pressure, internal stress, and radial deformation experienced by the optimized drum 1 with five layers of cable 2 are as follows:
[0072]
[0073]
[0074]
[0075]
[0076]
[0077]
[0078] According to the above calculation results, after optimizing the structure of the drum using the calculation system in this invention, the internal stress and diameter change of the drum are both less than the threshold. Under the premise of meeting the stress requirements of the drum, the thickness of the inner wall of the drum is effectively reduced, saving the material used of the drum.
[0079] If the traditional multi-layer winding coefficient method is used to calculate the internal pressure of the drum without considering deformation compatibility, the obtained pressure is: The internal stress of the drum is The calculated internal stress and internal pressure results are significantly lower than the precise values of 3187 kg and 304.7 MPa found in this invention, severely underestimating the resultant force under multi-layer winding. If the design is optimized based on this stress value, the optimized drum wall thickness is only 12 mm. This flawed method results in a very thin structure, ultimately leading to significant safety hazards. If the linear superposition method is used, the result is 5F = 5000 kg, significantly higher than the precise value of 3187 kg found in this invention, resulting in a drum wall thickness t much higher than 25 mm. This proves that traditional calculation methods either underestimate the superposition effect of internal forces under multi-layer winding or are overly conservative, while this invention provides an accurate and scientific basis for structural rigidity verification and weight reduction, offering a more convenient way to achieve the goal.
[0080] The recursive calculation method for internal pressure of the drum under cable action of this invention is the first to systematically introduce the "elastic deformation coordination" condition in the design of multi-layer cable drums. The recursive formula is obtained through rigorous mechanical derivation, and the calculation results are far more accurate than traditional simplified methods. Simultaneously, the core parameter 'm' comprehensively reflects the stiffness comparison between the drum and the cable, making it applicable to various material combinations and structural dimensions, and exhibiting good universality.
[0081] The optimization method and system for the drum structure of the present invention can directly guide engineers to optimize the stress distribution of the structure by adjusting the stiffness ratio of the drum to the cable through analysis of the influence of the m-parameter, thereby achieving a balance between lightweight and safety. Designers can input the necessary parameters through the engineering application calculation model, and the system will automatically perform model construction, iterative calculation, and finally output the optimal solution of the drum structure parameters.
[0082] Those skilled in the art will readily understand that the above description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.
Claims
1. A method for recursively calculating the pressure inside a drum under cable action, characterized in that, Includes the following steps: S1: Obtain the geometric and material parameters of the drum, the geometric and material parameters of the cable, and the winding tension of each layer of cable; S2: Based on the forces acting on the drum and cable, establish the mechanical equilibrium equations between the drum and cable; S3: Using the mechanical equilibrium equation, based on the deformation compatibility relationship and Hooke's law, determine the recursive relationship between the pressure inside the drum and the winding tension of each layer of cable under multi-layer winding; the expression of the recursive relationship is: in, Let be the internal pressure of the drum when n layers of cable are wound, and m be the stiffness ratio parameter. Let be the winding tension of the i-th layer of cable. The elastic modulus of the cable material. Let be the cross-sectional area of the cable. The elastic modulus of the roll material. This is the cross-sectional area of the drum under stress; S4: Based on the recursive relationship, calculate the internal pressure on the drum when it is wound to n layers of cable.
2. The method for recursively calculating the pressure inside the drum under cable action according to claim 1, characterized in that, In step S3, the deformation coordination relationship is as follows: when multiple layers of cable are wound on the drum, the circumferential strain of the drum and the cable tightly attached to the drum are equal in magnitude but opposite in sign.
3. The method for recursively calculating the pressure inside the drum under cable action according to claim 1, characterized in that, The formula for calculating the cross-sectional area of a cable is: The formula for calculating the cross-sectional area of the drum under stress is: Where d is the cable diameter and t is the thickness of the inner wall of the drum.
4. The method for recursively calculating the pressure inside the drum under cable action according to claim 3, characterized in that, It also includes step S5: based on the calculated internal pressure of the drum Calculate at least one of the following physical parameters: Internal stress of the drum: Radial uniform pressure on the outer surface of the drum: Strain of the drum: Change in drum diameter: Where D is the outer diameter of the drum and g is the acceleration due to gravity.
5. The method for recursively calculating the pressure inside the drum under the action of a cable according to any one of claims 1 to 4, characterized in that, The geometric parameters of the drum include at least the outer diameter, inner wall thickness, and width; the material parameters of the drum include at least the elastic modulus; the geometric parameters of the cable include at least the cable diameter; and the material parameters of the cable include at least the elastic modulus of the cable material.
6. A method for optimizing a roll structure, characterized in that, Includes the following steps: (1) Set the initial geometric and material parameters of the drum to be optimized, the geometric and material parameters of the cable, the number of pre-wound layers, and the pre-wound tension of each layer of cable; (2) Calculate the internal pressure of the drum under the initial design parameters using the recursive calculation method of the cable action under any one of claims 1 to 5. (3) Calculate the constraint index of the roll; (4) Determine whether the constraint index meets the preset safety constraint conditions; if all constraint indexes meet the constraint conditions, then the initial geometric parameter is used as the final optimization parameter of the roll structure; if any constraint index does not meet the constraint conditions, then adjust the geometric parameter corresponding to the roll and repeat steps (2) to (3) until all constraint indexes meet the constraint conditions, and use the geometric parameter that meets the constraint conditions as the final optimization parameter of the roll structure.
7. The method for optimizing the roll structure according to claim 6, characterized in that, The constraint indicators include at least one of the following: internal stress of the drum, change in drum diameter, and weight of the drum.
8. The method for optimizing the roll structure according to claim 7, characterized in that, When the internal stress of the drum exceeds the yield strength of the drum material, adjust the inner wall thickness of the drum; when the change in the drum diameter is greater than the set threshold, adjust the inner wall thickness and outer diameter of the drum; when the weight of the drum is greater than the set threshold, adjust the inner wall thickness, outer diameter, and width of the drum.
9. An optimization system for a roll structure, used to implement the optimization method according to any one of claims 6 to 8, characterized in that, include: The parameter input module is used to input the geometric and material parameters of the drum, the geometric and material parameters of the cable, the pre-winding tension of each layer of cable, and the number of pre-winding layers. The model building module is used to calculate the internal pressure and internal stress on the drum; The iterative calculation module is used to calculate each constraint index, determine whether each constraint index meets the constraint conditions, and adjust the geometric parameters of the roll when the constraint index does not meet the constraint conditions, and trigger the model building module to recalculate. The results output module is used to output the final optimized parameters of the roll.