A method and device for calculating the minimum interference of a vibration damping ring
By analyzing the mechanical state of the vibration damping ring during the engine starting process in detail, the minimum interference amount to prevent circumferential sliding is calculated, which solves the problems of large calculation errors and difficult to meet dynamic balance in the prior art, and achieves more accurate vibration damping effect and dynamic balance.
Patent Information
- Application Number
- CN202211191994.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2022-09-28
- Publication Date
- 2025-05-23
- Estimated Expiration
- 2042-09-28
AI Technical Summary
The existing vibration damping ring interference calculation method has large errors, making it difficult to meet the dynamic balance and vibration damping effects at the same time, resulting in relative slippage when the engine starts, increasing the risk of resonance damage.
By calculating the maximum angular acceleration during engine starting process, the normal pressure caused by the vibration damping ring after being installed into the installation groove and the normal pressure caused by centrifugal force, the critical contact angle and concentrated torque are calculated, and finally the minimum interference amount to prevent the circumferential sliding of the vibration damping ring from being calculated.
The calculation error of the vibration damping ring interference is reduced, ensuring that the engine avoids relative sliding when it starts quickly, maintains dynamic balance, and ensures the vibration damping effect of the vibration damping ring, thereby improving the accuracy of energy consumption calculation.
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Figure CN115659528B_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the technical field of aero-engines, and in particular, to a method and device for calculating the minimum interference of a vibration damping ring. Background Art
[0002] The vibration damping ring is an important means for reducing vibration and noise of aircraft engine gears. The interference of the vibration damping ring is an important parameter in the design of the vibration damping ring. If the interference is too small, it will cause relative sliding with the vibration damping ring when the engine starts quickly, thereby destroying the dynamic balance of the original gear and increasing the dynamic imbalance of the gear system, thereby increasing the risk of resonance damage to the gear. If the interference is too large, it will reduce the contact area between the vibration damping ring and the installation groove, thereby reducing the vibration damping effect of the vibration damping ring. Therefore, how to reasonably design the interference of the vibration damping ring is an important link in the design of the vibration damping ring.
[0003] In addition, since the diameter of the circular vibration damping ring in the free state is larger than the diameter of the installation groove, it is impossible for the circular vibration damping ring to be completely in contact with the installation groove when it is installed in the circular groove. If the circular vibration damping ring rotates with the installation groove, the contact area will change as the centrifugal force increases. In order to simplify the existing calculation methods, the two are assumed to be in full contact by default, which will cause a relatively large calculation error when analyzing the problem. Summary of the invention
[0004] The present application provides a method for calculating the minimum interference of a vibration damping ring, so as to solve the technical problems that the error in calculating the interference of the existing vibration damping ring is large and it is difficult to simultaneously meet the requirements of dynamic balancing and vibration damping effect of the vibration damping ring.
[0005] The technical solutions adopted in this application are as follows:
[0006] A method for calculating the minimum interference of a vibration damping ring comprises the following steps:
[0007] S1. Calculate the maximum angular acceleration during the engine starting process according to the engine starting law;
[0008] S2. Calculate the normal pressure per unit area after the vibration damping ring is installed in the installation groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring;
[0009] S3, calculating the critical contact angle between the vibration damping ring and the mounting groove according to the normal pressure after the vibration damping ring is installed in the mounting groove and the normal pressure per unit area of the vibration damping ring caused by the centrifugal force;
[0010] S4, calculating the concentrated moment at the opening position in the installed state and the concentrated moment at the boundary position between the contact area and the non-contact area in the installed state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring;
[0011] S5. Calculate the friction moment generated by the normal pressure after the vibration damping ring is installed in the installation groove, the concentrated moment at the opening position in the installed state, and the concentrated moment at the boundary position between the contact area and the non-contact area in the installed state;
[0012] S6. Calculate the minimum interference of the vibration damping ring according to the condition that the friction force moment needs to satisfy when preventing the vibration damping ring from circumferentially sliding during the engine starting process.
[0013] Furthermore, in step S1, the maximum angular acceleration α during the engine starting process is:
[0014]
[0015] Among them, T max is the maximum torque output by the starter during engine starting, and J is the rotational inertia of the engine rotor.
[0016] Further, in step S2, the normal pressure per unit area after the vibration damping ring is installed in the installation groove is calculated, which specifically includes the steps of:
[0017] Assuming the interference is Δu, the normal pressure per unit area after the vibration damping ring is installed in the mounting groove is 0 for:
[0018]
[0019] Wherein, E is the elastic modulus of the material of the vibration damping ring, I is the section moment of inertia of the vibration damping ring, b is the axial width of the vibration damping ring, and r is the neutral line radius of the vibration damping ring.
[0020] Furthermore, in step S2, the normal pressure per unit area of the vibration damping ring caused by the centrifugal force is calculated. 1 , specifically including the steps:
[0021]
[0022] Among them, m is the mass of the vibration damping ring, v is the linear velocity, r 1 is the outer contour radius of the vibration damping ring.
[0023] Further, in step S3, the critical contact angle θ between the vibration damping ring and the mounting groove is calculated according to the normal pressure after the vibration damping ring is installed in the mounting groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring. 0 When , it is calculated according to the following formula:
[0024]
[0025] Further, in step S4, the concentrated moment Q at the opening position in the installed state is calculated according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring. 1 Specifically:
[0026]
[0027] Where μ is the friction coefficient of the vibration damping ring.
[0028] Further, in step S4, the concentrated moment Q at the boundary between the contact area and the non-contact area in the installed state is calculated according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring. 2 Specifically:
[0029]
[0030] Furthermore, in step S5, the friction distance T f The specific calculation process includes:
[0031]
[0032] Further, in step S6, the minimum interference of the vibration damping ring is calculated according to the condition that the friction force moment needs to satisfy when preventing the vibration damping ring from circumferentially sliding during the engine starting process, which specifically includes the steps of:
[0033] To calculate the prevention of circumferential sliding of the vibration damping ring during engine starting, the following conditions must be met:
[0034] T f ≥mαr 2
[0035] We can get:
[0036]
[0037] Therefore, the minimum interference of the vibration damping ring is Δu min for:
[0038]
[0039] On the other hand, the present application also provides a device for calculating the minimum interference of a vibration damping ring, comprising:
[0040] A maximum angular acceleration calculation module is used to calculate the maximum angular acceleration during the engine starting process according to the engine starting law;
[0041] A normal pressure calculation module is used to calculate the normal pressure per unit area after the vibration damping ring is installed in the installation groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring;
[0042] A critical contact angle calculation module is used to calculate the critical contact angle between the vibration damping ring and the mounting groove according to the normal pressure after the vibration damping ring is installed in the mounting groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring;
[0043] A concentrated moment calculation module is used to calculate the concentrated moment at the opening position in the installed state and the concentrated moment at the boundary position between the contact area and the non-contact area in the installed state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring;
[0044] The friction moment calculation module is used to calculate the friction moment generated by the normal pressure after the vibration damping ring is installed in the installation groove, the concentrated moment at the opening position in the installed state, and the concentrated moment at the boundary position between the contact area and the non-contact area in the installed state;
[0045] The minimum interference calculation module is used to calculate the minimum interference of the vibration damping ring according to the conditions that the friction force distance needs to meet when preventing the vibration damping ring from sliding circumferentially during the engine starting process.
[0046] On the other hand, the present application also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor implements the steps of the method for calculating the minimum interference of the vibration damping ring when executing the program.
[0047] On the other hand, the present application further provides a storage medium, which includes a stored program, and when the program is run, controls the device where the storage medium is located to execute the steps of the method for calculating the minimum interference of the vibration damping ring.
[0048] Compared with the prior art, this application has the following beneficial effects:
[0049] The present application provides a method and device for calculating the minimum interference amount of a vibration damping ring. The method determines the actual contact area between the vibration damping ring and the mounting groove at different rotation speeds through actual contact analysis between the mounting groove and the vibration damping ring. The method no longer assumes that the mounting groove and the vibration damping ring are in full-circle contact by default. The method is close to the actual working condition and calculates the minimum interference amount to prevent the circumferential sliding of the vibration damping ring, thereby reducing the calculation error of the interference amount of the vibration damping ring. The obtained minimum interference amount can prevent relative sliding with the vibration damping ring when the engine is started quickly. At the same time, the minimum interference amount will not reduce the contact area between the vibration damping ring and the mounting groove, thereby ensuring the vibration damping effect of the vibration damping ring, thereby improving the accuracy of the energy consumption calculation of the vibration damping ring and meeting the requirements of vibration and noise reduction of aircraft engine gears.
[0050] In addition to the above-described purposes, features and advantages, the present application also has other purposes, features and advantages. The present application will be further described in detail below with reference to the accompanying drawings. BRIEF DESCRIPTION OF THE DRAWINGS
[0051] The drawings constituting a part of the present application are used to provide a further understanding of the present application. The illustrative embodiments and descriptions of the present application are used to explain the present application and do not constitute an improper limitation on the present application. In the drawings:
[0052] Figure 1 It is a flow chart of a method for calculating the minimum interference of a vibration damping ring according to a preferred embodiment of the present application.
[0053] Figure 2 It is a schematic diagram of the structure of the vibration damping ring in the natural state of the preferred embodiment of the present application.
[0054] Figure 3 It is a schematic structural diagram of the preferred embodiment of the present application after the vibration damping ring is installed in the installation groove.
[0055] Figure 4 It is a schematic diagram of the force applied to the vibration damping ring of the preferred embodiment of the present application after it is installed in the mounting groove.
[0056] Figure 5 It is a schematic diagram of a module of a device for calculating the minimum interference of a vibration damping ring according to a preferred embodiment of the present application.
[0057] Figure 6 It is a schematic block diagram of an electronic device entity of a preferred embodiment of the present application.
[0058] Figure 7 It is a diagram of the internal structure of a computer device of a preferred embodiment of the present application. DETAILED DESCRIPTION
[0059] It should be noted that, in the absence of conflict, the embodiments and features in the embodiments of the present application can be combined with each other. The present application will be described in detail below with reference to the accompanying drawings and in combination with the embodiments.
[0060] Reference Figure 1 The preferred embodiment of the present application provides a method for calculating the minimum interference of a vibration damping ring, comprising the steps of:
[0061] S1. Calculate the maximum angular acceleration during the engine starting process according to the engine starting law;
[0062] S2. Calculate the normal pressure per unit area after the vibration damping ring is installed in the installation groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring;
[0063] S3, calculating the critical contact angle between the vibration damping ring and the mounting groove according to the normal pressure after the vibration damping ring is installed in the mounting groove and the normal pressure per unit area of the vibration damping ring caused by the centrifugal force;
[0064] S4, calculating the concentrated moment at the opening position in the installed state and the concentrated moment at the boundary position between the contact area and the non-contact area in the installed state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring;
[0065] S5. Calculate the friction moment generated by the normal pressure after the vibration damping ring is installed in the installation groove, the concentrated moment at the opening position in the installed state, and the concentrated moment at the boundary position between the contact area and the non-contact area in the installed state;
[0066] S6. Calculate the minimum interference of the vibration damping ring according to the condition that the friction force moment needs to satisfy when preventing the vibration damping ring from circumferentially sliding during the engine starting process.
[0067] This embodiment provides a method for calculating the minimum interference of a vibration damping ring. The method can determine the actual contact area between the vibration damping ring and the mounting groove at different rotation speeds through actual contact analysis between the mounting groove and the vibration damping ring. It is no longer assumed that the mounting groove and the vibration damping ring are in full-circle contact. The method is close to the actual working condition, and the minimum interference to prevent the vibration damping ring from circumferential sliding is calculated to reduce the error in calculating the interference of the vibration damping ring. The design of the interference needs to consider the following issues:
[0068] If the vibration damping ring slides relative to the gear along the circumferential direction during operation, the dynamic balance of the gear will be destroyed, which may cause excessive vibration of the gear and affect the normal operation of the engine. The acceleration during the start-up of the aircraft engine is very large. At this time, it is easy for the vibration damping ring and the gear to slide relative to each other. The main way to suppress sliding is the friction between the two. The size of this friction depends largely on the size of the interference. If the interference is small, the friction will be small, which will easily cause relative sliding.
[0069] 2) Calculate the critical contact angle θ between the vibration damping ring and the mounting groove 0 (The boundary between the contact area and the non-contact area.
[0070] 3) After the structure of the gear is determined, its natural mode is determined, so its resonant speed is determined. Therefore, under a certain vibration mode, the normal pressure P per unit area caused by the centrifugal force is 1 is determined, and θ 0 At this time, P 0 That means, although the increase of interference fit can avoid the destruction of dynamic balance due to relative sliding, it will also reduce the contact area between the vibration damping ring and the gear. The vibration damping of the vibration damping ring relies on the mutual micro-friction between the gear and the gear to consume vibration energy. If there is no contact, it will lose the ability to consume friction energy. Therefore, if the interference fit is too large, the vibration damping effect of the vibration damping ring will be reduced.
[0071] Therefore, the interference fit is not the larger the better, but should be the smaller the better on the basis of ensuring that there is no slipping during starting.
[0072] The determination of the minimum interference also requires accurate contact area to accurately calculate the friction torque generated by the interference (the maximum starting acceleration during the starting process is basically the moment of starting, when the speed is almost 0, so P 1 It can be considered to be 0, and the friction moment is completely generated by the preload force caused by interference).
[0073] The minimum interference fit obtained in this embodiment fully considers the actual working conditions of the vibration damping ring, which can avoid relative sliding with the vibration damping ring when the engine is quickly started, ensure that the dynamic balance of the original gear is not destroyed, and avoid increasing the dynamic imbalance of the gear system, thereby reducing the risk of resonance damage to the gear; at the same time, the minimum interference fit will not reduce the contact area between the vibration damping ring and the mounting groove, thereby ensuring the vibration damping effect of the vibration damping ring, thereby improving the accuracy of the energy consumption calculation of the vibration damping ring, achieving two goals at one stroke, and effectively meeting the needs of vibration and noise reduction of aircraft engine gears.
[0074] Specifically, in step S1, the maximum angular acceleration α during the engine starting process is:
[0075]
[0076] Among them, T max is the maximum torque output by the starter during engine starting, and J is the rotational inertia of the engine rotor.
[0077] Specifically, in step S2, the normal pressure per unit area after the vibration damping ring is installed in the installation groove is calculated, which specifically includes the steps of:
[0078] Assuming the interference is Δu, the normal pressure per unit area after the vibration damping ring is installed in the mounting groove is 0 for:
[0079]
[0080] Wherein, E is the elastic modulus of the material of the vibration damping ring, I is the section moment of inertia of the vibration damping ring, b is the axial width of the vibration damping ring, and r is the neutral line radius of the vibration damping ring.
[0081] Specifically, in step S2, the normal pressure per unit area of the vibration damping ring caused by the centrifugal force is calculated. 1 , specifically including the steps:
[0082]
[0083] Among them, m is the mass of the vibration damping ring, v is the linear velocity, r 1 is the outer contour radius of the vibration damping ring.
[0084] Specifically, in step S3, the critical contact angle θ between the vibration damping ring and the mounting groove is calculated based on the normal pressure after the vibration damping ring is installed in the mounting groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring. 0 When , it is calculated according to the following formula:
[0085]
[0086] Specifically, Figure 4 As shown, in step S4, the concentrated moment Q at the opening position in the installed state is calculated according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring. 1 Specifically:
[0087]
[0088] Where μ is the friction coefficient of the vibration damping ring.
[0089] Specifically, Figure 4 As shown, in step S4, the concentrated moment Q at the boundary between the contact area and the non-contact area in the installed state is calculated according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring. 2 Specifically:
[0090]
[0091] Specifically, in step S5, the friction distance T f The specific calculation process includes:
[0092]
[0093] Specifically, in step S6, the minimum interference of the vibration damping ring is calculated according to the condition that the friction force moment needs to satisfy when preventing the vibration damping ring from circumferentially sliding during the engine starting process, which specifically includes the steps of:
[0094] To calculate the prevention of circumferential sliding of the vibration damping ring during engine starting, the following conditions must be met:
[0095] T f ≥mαr 2
[0096] We can get:
[0097]
[0098] Therefore, the minimum interference of the vibration damping ring is Δu min for:
[0099]
[0100] like Figure 5 As shown, another preferred embodiment of the present application further provides a device for calculating the minimum interference of a vibration damping ring, comprising:
[0101] A maximum angular acceleration calculation module is used to calculate the maximum angular acceleration during the engine starting process according to the engine starting law;
[0102] A normal pressure calculation module is used to calculate the normal pressure per unit area after the vibration damping ring is installed in the installation groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring;
[0103] A critical contact angle calculation module is used to calculate the critical contact angle between the vibration damping ring and the mounting groove according to the normal pressure after the vibration damping ring is installed in the mounting groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring;
[0104] A concentrated moment calculation module is used to calculate the concentrated moment at the opening position in the installed state and the concentrated moment at the boundary position between the contact area and the non-contact area in the installed state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring;
[0105] The friction moment calculation module is used to calculate the friction moment generated by the normal pressure after the vibration damping ring is installed in the installation groove, the concentrated moment at the opening position in the installed state, and the concentrated moment at the boundary position between the contact area and the non-contact area in the installed state;
[0106] The minimum interference calculation module is used to calculate the minimum interference of the vibration damping ring according to the conditions that the friction force distance needs to meet when preventing the vibration damping ring from sliding circumferentially during the engine starting process.
[0107] like Figure 6 As shown, another preferred embodiment of the present application also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor implements the steps of the method for calculating the minimum interference of the vibration damping ring in the above-mentioned embodiment when executing the program.
[0108] like Figure 7 As shown, another preferred embodiment of the present application further provides a computer device, which may be a terminal or a liveness detection server, and its internal structure diagram may be as shown in FIG. Figure 7As shown. The computer device includes a processor, a memory and a network interface connected via a system bus. The processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of the operating system and the computer program in the non-volatile storage medium. The network interface of the computer device is used to communicate with other external computer devices via a network connection. When the computer program is executed by the processor, the steps of the above-mentioned method for calculating the minimum interference of the vibration damping ring are implemented.
[0109] Those skilled in the art will understand that Figure 7 The structure shown in the figure is only a block diagram of a part of the structure related to the solution of the present application, and does not constitute a limitation on the computer device to which the solution of the present application is applied. The specific computer device may include more or fewer components than those shown in the figure, or combine certain components, or have a different arrangement of components.
[0110] Another preferred embodiment of the present application further provides a storage medium, which includes a stored program, and when the program is run, controls the device where the storage medium is located to execute the steps of the method for calculating the minimum interference of the vibration damping ring in the above embodiment.
[0111] It should be noted that the steps shown in the flowcharts of the accompanying drawings can be executed in a computer system such as a set of computer executable instructions, and that, although a logical order is shown in the flowcharts, in some cases, the steps shown or described can be executed in an order different from that shown here.
[0112] If the functions described in the method of this embodiment are implemented in the form of software functional units and sold or used as independent products, they can be stored in one or more computing devices readable storage media. Based on this understanding, the part of the embodiment of the present application that contributes to the prior art or the part of the technical solution can be embodied in the form of a software product, which is stored in a storage medium and includes several instructions to enable a computing device (which can be a personal computer, server, mobile computing device or network device, etc.) to perform all or part of the steps of the method described in each embodiment of the present application. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), disk or optical disk and other media that can store program code.
[0113] Those skilled in the art will appreciate that the embodiments of the present application can be provided as methods, systems, or computer program products. Therefore, the present application can adopt the form of complete hardware embodiments, complete software embodiments, or embodiments in combination with software and hardware. Moreover, the present application can adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program code. The scheme in the embodiments of the present application can be implemented in various computer languages, for example, object-oriented programming language Java and literal scripting language JavaScript, etc.
[0114] The present application is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems), and computer program products according to the embodiments of the present application. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of the processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.
[0115] These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to operate in a specific manner, so that the instructions stored in the computer-readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 A process or multiple processes and / or boxes Figure 1 A function specified in one or more boxes.
[0116] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 A process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.
[0117] Although the preferred embodiments of the present application have been described, those skilled in the art may make other changes and modifications to these embodiments once they have learned the basic creative concept. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications falling within the scope of the present application.
[0118] Obviously, those skilled in the art can make various changes and modifications to the present application without departing from the spirit and scope of the present application. Thus, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalents, the present application is also intended to include these modifications and variations.
Claims
1. A method for calculating the minimum interference of a vibration damping ring. It is characterized in that Includes steps: S1. According to the engine starting law, the maximum angular acceleration α during the engine starting process is calculated; S2. Calculate the normal pressure per unit area after the vibration damping ring is installed in the installation groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring; S3. Calculate the critical contact angle θ between the damping ring and the mounting groove according to the normal pressure after the damping ring is installed in the mounting groove and the normal pressure per unit area of the damping ring caused by centrifugal force. 0 ; S4, according to the friction coefficient μ and critical contact angle θ of the vibration damping ring 0 , the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring are used to calculate the concentrated moment at the opening position in the installation state and the concentrated moment at the boundary position between the contact area and the non-contact area in the installation state; S5. Calculate the friction moment T generated by the normal pressure after the vibration damping ring is installed in the installation groove, the concentrated moment at the opening position in the installed state, and the concentrated moment at the boundary between the contact area and the non-contact area in the installed state. f ; S6, calculating the minimum interference of the vibration damping ring according to the condition that the friction force moment needs to satisfy when preventing the vibration damping ring from circumferentially sliding during the engine starting process, specifically comprising the steps of: To calculate the prevention of circumferential sliding of the vibration damping ring during engine starting, the following conditions must be met: T f ≥mαr 2 have to: Therefore, the minimum interference of the vibration damping ring is Δu min for: Where m is the mass of the vibration damping ring, r is the neutral line radius of the vibration damping ring, Δu is the interference of the vibration damping ring, E is the elastic modulus of the material of the vibration damping ring, I is the section moment of inertia of the vibration damping ring, and r 1 is the outer contour radius of the vibration damping ring.
2. The method for calculating the minimum interference of the vibration damping ring according to claim 1, It is characterized in that In step S1, the maximum angular acceleration α during the engine starting process is: Among them, T max is the maximum torque output by the starter during engine starting, and J is the rotational inertia of the engine rotor.
3. The method for calculating the minimum interference of the vibration damping ring according to claim 2, It is characterized in that In step S2, the normal pressure per unit area after the vibration damping ring is installed in the installation groove is calculated, which specifically includes the following steps: Assuming the interference is Δu, the normal pressure per unit area after the vibration damping ring is installed in the mounting groove is 0 for: Wherein, E is the elastic modulus of the material of the vibration damping ring, I is the section moment of inertia of the vibration damping ring, b is the axial width of the vibration damping ring, and r is the neutral line radius of the vibration damping ring.
4. The method for calculating the minimum interference of the vibration damping ring according to claim 3, It is characterized in that In step S2, the normal pressure p on the unit area of the vibration damping ring caused by the centrifugal force is calculated. 1 , specifically including the steps: Among them, m is the mass of the vibration damping ring, v is the linear velocity, r 1 is the outer contour radius of the vibration damping ring.
5. The method for calculating the minimum interference of the vibration damping ring according to claim 4, It is characterized in that In step S3, the critical contact angle θ between the vibration damping ring and the mounting groove is calculated based on the normal pressure after the vibration damping ring is installed in the mounting groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring. 0 When , it is calculated according to the following formula:
6. The method for calculating the minimum interference of the vibration damping ring according to claim 5, It is characterized in that In step S4, the concentrated moment Q at the opening position in the installed state is calculated according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring. 1 Specifically: Where μ is the friction coefficient of the vibration damping ring.
7. The method for calculating the minimum interference of the vibration damping ring according to claim 6, It is characterized in that In step S4, the concentrated moment Q at the boundary between the contact area and the non-contact area in the installed state is calculated according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring. 2 Specifically:
8. The method for calculating the minimum interference of the vibration damping ring according to claim 7, It is characterized in that In step S5, the friction distance T f The specific calculation process includes:
9. A device for calculating the minimum interference of a vibration damping ring, It is characterized in that include: The maximum angular acceleration calculation module is used to calculate the maximum angular acceleration α during the engine starting process according to the engine starting law; A normal pressure calculation module is used to calculate the normal pressure per unit area after the vibration damping ring is installed in the installation groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring; The critical contact angle calculation module is used to calculate the critical contact angle θ between the vibration damping ring and the mounting groove according to the normal pressure after the vibration damping ring is installed in the mounting groove and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring. 0 ; The concentrated moment calculation module is used to calculate the friction coefficient μ and critical contact angle θ of the vibration damping ring. 0 , the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring are used to calculate the concentrated moment at the opening position in the installation state and the concentrated moment at the boundary position between the contact area and the non-contact area in the installation state; The friction moment calculation module is used to calculate the friction moment T generated by the normal pressure after the vibration damping ring is installed in the installation groove, the concentrated moment at the opening position in the installed state, and the concentrated moment at the boundary between the contact area and the non-contact area in the installed state. f ; The minimum interference calculation module is used to calculate the minimum interference of the vibration damping ring according to the conditions that the friction force distance needs to meet when preventing the vibration damping ring from sliding circumferentially during the engine starting process. Specifically, it is used to calculate the conditions that the vibration damping ring needs to meet when preventing the vibration damping ring from sliding circumferentially during the engine starting process: T f ≥mαr 2 have to: Therefore, the minimum interference of the vibration damping ring is Δu min for: Where m is the mass of the vibration damping ring, r is the neutral line radius of the vibration damping ring, Δu is the interference of the vibration damping ring, E is the elastic modulus of the material of the vibration damping ring, I is the section moment of inertia of the vibration damping ring, and r 1 is the outer contour radius of the vibration damping ring.
Citation Information
Patent Citations
Design method for interference magnitude of marine crankshaft hot jacket
CN101477587A
Method, device and equipment for determining magnitude of interference of hub bearing unit and storage medium
CN112560168A