Centrifugal pendulum damper mass ratio optimization method, device and equipment and storage medium

Abstract

The invention discloses a centrifugal pendulum damper mass ratio optimization method, device and equipment and a storage medium, and is used for solving the technical problem that a design result has relatively large uncertainty due to the fact that the establishment of a mass ratio parameter between a centrifugal pendulum mass block and an elastic element depends on an empirical formula and a trial and error method. The method comprises the following steps: acquiring a plurality of inertia ratios to be analyzed, wherein the inertia ratios to be analyzed are the ratio of the total equivalent inertia of a centrifugal pendulum block to the equivalent inertia of an arc-shaped spring; performing discrete sampling on each to-be-analyzed inertia ratio in a preset target rotating speed range to obtain a plurality of rotating speed points; calculating the angular acceleration of the secondary flywheel at the rotating speed point, and calculating a vibration response index according to the angular acceleration; calculating the total maximum storage energy of the system at the rotating speed point, and calculating an energy collaboration index according to the total maximum storage energy of the system; and determining the optimal mass ratio of the centrifugal swing block to the arc-shaped spring according to the vibration response index and the energy cooperation index of each inertia to be analyzed.

Description

Technical Field

[0001] This invention relates to the field of centrifugal pendulum vibration damper technology, and in particular to a method, apparatus, equipment and storage medium for optimizing the mass ratio of a centrifugal pendulum vibration damper. Background Technology

[0002] Periodic torsional vibrations generated during the operation of internal combustion engines are a key issue affecting the performance of transmission systems, especially in inline four-cylinder engines where the second-order reciprocating inertial force can induce strong torsional vibrations. Centrifugal pendulum vibration dampers are widely used to suppress these vibrations due to their excellent frequency adaptive characteristics. In recent years, to further improve the vibration damping effect, the industry has proposed a composite vibration damping structure that combines a centrifugal pendulum with an arc spring.

[0003] However, the design of this composite system involves several inter-coupled parameters, among which the mass ratio between the centrifugal pendulum mass block and the elastic element is particularly critical.

[0004] In existing technologies, the determination of this parameter mainly relies on empirical formulas and trial-and-error methods, leading to significant uncertainty in the design results. This experience-driven approach not only makes it difficult to guarantee that the system reaches its optimal operating state, but also, due to the lack of theoretical guidance, makes the design process quite blind, severely restricting the performance optimization and engineering application of this type of vibration damper. Summary of the Invention

[0005] This invention provides a method, apparatus, equipment, and storage medium for optimizing the mass ratio of a centrifugal pendulum damper, which addresses the technical problem that the determination of the mass ratio parameter between the centrifugal pendulum mass block and the elastic element relies on empirical formulas and trial-and-error methods, leading to significant uncertainties in the design results.

[0006] This invention provides a method for optimizing the mass ratio of a centrifugal pendulum vibration damper. The centrifugal pendulum vibration damper includes a main flywheel, a flange, a secondary flywheel, an arc spring, a side shaft, and a centrifugal pendulum block. The main flywheel is connected to the flange via the arc spring, the flange is fixedly connected to the secondary flywheel, the centrifugal pendulum block is mounted on the flange, and the secondary flywheel is connected to a fixed support via the side shaft. The method includes:

[0007] Multiple inertia ratios to be analyzed are obtained, wherein the inertia ratio to be analyzed is the ratio of the total equivalent inertia of the centrifugal pendulum block to the equivalent inertia of the arc spring;

[0008] Discrete sampling is performed on each inertia ratio to be analyzed within the preset target rotational speed range to obtain several rotational speed points;

[0009] Calculate the angular acceleration of the secondary flywheel at the specified rotational speed, and calculate the vibration response index based on the angular acceleration;

[0010] Calculate the total maximum storage energy of the system at the specified rotational speed point, and calculate the energy synergy index based on the total maximum storage energy of the system;

[0011] The optimal mass ratio of the centrifugal pendulum and the arc spring is determined based on the vibration response index and the energy coordination index of each inertia to be analyzed.

[0012] Optionally, the step of obtaining multiple inertia ratios to be analyzed includes:

[0013] Determine the scanning range and step size for the inertia ratio;

[0014] Multiple inertia ratios to be analyzed are determined based on the scanning range and step size.

[0015] Optionally, the step of calculating the angular acceleration of the secondary flywheel at the specified rotational speed and calculating the vibration response index based on the angular acceleration includes:

[0016] Construct the dynamic equations of the centrifugal pendulum damper;

[0017] The dynamic equations are transformed from the time domain into motion differential equations in the frequency domain;

[0018] Solving the equations of motion yields the first rotation angle of the main flywheel and the second rotation angle of the secondary flywheel.

[0019] The angular acceleration of the secondary flywheel is calculated based on the second rotation angle and the excitation frequency corresponding to the rotation point.

[0020] The vibration response index is calculated based on the second rotation angle at all rotational speeds using the inertia ratio to be analyzed.

[0021] Optionally, the step of constructing the dynamic equations of the centrifugal pendulum damper includes:

[0022] The inertia of the main flywheel, the combined inertia of the flange and the secondary flywheel, the spring damping and spring stiffness of the arc spring, the side shaft damping and side shaft stiffness of the side shaft, and the centrifugal stiffness of the centrifugal pendulum are obtained.

[0023] An inertia matrix is ​​constructed using the main flywheel inertia, the combined inertia, and the total equivalent inertia.

[0024] The damping matrix is ​​constructed using the spring damping and the side-axis damping;

[0025] Construct a stiffness matrix based on the spring stiffness, the lateral axis stiffness, and the centrifugal stiffness;

[0026] Calculate the force vector based on the excitation torque of the centrifugal pendulum damper;

[0027] The dynamic equations are constructed using the inertia matrix, the damping matrix, the stiffness matrix, and the force vector.

[0028] Optionally, the step of calculating the total maximum stored energy of the system at the specified rotational speed point, and calculating the energy synergy index based on the total maximum stored energy of the system, includes:

[0029] Calculate the first maximum elastic potential energy of the arc spring;

[0030] Calculate the second maximum elastic potential energy of the side axis;

[0031] Calculate the maximum total stored energy of the centrifugal pendulum block;

[0032] The sum of the first maximum elastic potential energy, the second maximum elastic potential energy, and the maximum total stored energy is calculated to obtain the total maximum stored energy of the system at the specified rotational speed.

[0033] The energy synergy index is calculated based on the total maximum stored energy of the system at all rotational speeds, according to the inertia ratio to be analyzed.

[0034] Optionally, the step of determining the optimal mass ratio of the centrifugal pendulum and the arc spring based on the vibration response index and the energy coordination index of each inertia to be analyzed includes:

[0035] The optimal inertia ratio is determined based on the vibration response index and the energy coordination index.

[0036] The optimal mass ratio of the centrifugal pendulum and the arc spring is calculated based on the optimal inertia ratio and the preset radius.

[0037] This invention also provides a device for optimizing the mass ratio of a centrifugal pendulum damper. The centrifugal pendulum damper includes a main flywheel, a flange, a secondary flywheel, an arc spring, a side shaft, and a centrifugal pendulum block. The main flywheel is connected to the flange via the arc spring, the flange is fixedly connected to the secondary flywheel, the centrifugal pendulum block is mounted on the flange, and the secondary flywheel is connected to a fixed support via the side shaft. The device includes:

[0038] The inertia ratio acquisition module is used to acquire multiple inertia ratios to be analyzed, wherein the inertia ratio to be analyzed is the ratio of the total equivalent inertia of the centrifugal pendulum block to the equivalent inertia of the arc spring;

[0039] The rotation speed point acquisition module is used to discretely sample each inertia ratio to be analyzed within a preset target rotation speed range to obtain several rotation speed points;

[0040] The vibration response index calculation module is used to calculate the angular acceleration of the secondary flywheel at the specified rotational speed point, and to calculate the vibration response index based on the angular acceleration.

[0041] The energy synergy index calculation module is used to calculate the total maximum stored energy of the system at the specified rotation speed point, and to calculate the energy synergy index based on the total maximum stored energy of the system.

[0042] The optimal mass ratio calculation module is used to determine the optimal mass ratio of the centrifugal pendulum and the arc spring based on the vibration response index and the energy coordination index of each inertia to be analyzed.

[0043] Optionally, the module for obtaining the inertia ratio to be analyzed includes:

[0044] The scan range and step size determination submodule is used to determine the scan range and step size of the inertia ratio;

[0045] The inertia ratio determination submodule is used to determine multiple inertia ratios to be analyzed based on the scanning range and step size.

[0046] The present invention also provides an electronic device, the device comprising a processor and a memory:

[0047] The memory is used to store program code and transmit the program code to the processor;

[0048] The processor is used to execute the centrifugal pendulum vibration damper mass ratio optimization method as described above, according to the instructions in the program code.

[0049] The present invention also provides a computer-readable storage medium for storing program code for executing the centrifugal pendulum damper mass ratio optimization method as described in any of the preceding claims.

[0050] As can be seen from the above technical solutions, the present invention has the following advantages: The present invention adopts the dual optimization objectives of vibration response and energy storage to determine the optimal mass ratio between the centrifugal pendulum block and the arc spring, thereby ensuring that the components in the centrifugal pendulum vibration damper reach a coordinated working state, significantly improving the vibration reduction effect. Moreover, this process does not rely on empirical formulas and trial and error methods, reducing the uncertainty of the design results. Attached Figure Description

[0051] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art 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.

[0052] Figure 1 This is a schematic diagram of the structure of a centrifugal pendulum vibration damper provided in an embodiment of the present invention;

[0053] Figure 2 A flowchart illustrating the steps of a method for optimizing the mass ratio of a centrifugal pendulum damper, as provided in an embodiment of the present invention;

[0054] Figure 3 A flowchart illustrating the steps of a method for optimizing the mass ratio of a centrifugal pendulum damper, as provided in another embodiment of the present invention;

[0055] Figure 4 This is a schematic diagram of the distribution of candidate solutions generated based on vibration response index and energy synergy index;

[0056] Figure 5 This invention provides a structural block diagram of a centrifugal pendulum vibration damper mass ratio optimization device. Detailed Implementation

[0057] This invention provides a method, apparatus, device, and storage medium for optimizing the mass ratio of a centrifugal pendulum damper, which addresses the technical problem that the determination of the mass ratio parameter between the centrifugal pendulum mass block and the elastic element relies on empirical formulas and trial-and-error methods, leading to significant uncertainty in the design results.

[0058] To make the objectives, features, and advantages of this invention more apparent and understandable, the technical solutions of the embodiments of this invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the embodiments described below are only some embodiments of this invention, and not all embodiments. Based on the embodiments of this invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this invention.

[0059] Please see Figure 1 , Figure 1 This is a schematic diagram of a centrifugal pendulum vibration damper provided in an embodiment of the present invention. Figure 1 As shown, the centrifugal pendulum vibration damper provided in this embodiment of the invention includes a main flywheel, a flange, a secondary flywheel, an arc spring, a side shaft, and a centrifugal pendulum block. The main flywheel is connected to the flange via the arc spring, the flange is fixedly connected to the secondary flywheel, the centrifugal pendulum block is mounted on the flange, and the secondary flywheel is connected to a fixed support via the side shaft.

[0060] Wherein, J1 is the moment of inertia of the main flywheel, J2 is the moment of inertia of the flange, and J... 23 Let be the combined inertia of the flange and secondary flywheel, m be the mass of the centrifugal pendulum, K1 be the stiffness of the arc spring, and K2 be the stiffness of the side shaft. The excitation torque acting on the main flywheel is T0, where T0 is the peak value of the alternating component in the periodically changing torque fluctuation acting on the crankshaft (main flywheel).

[0061] based on Figure 1Please refer to the centrifugal pendulum damper shown. Figure 2 , Figure 2 A flowchart illustrating the steps of a method for optimizing the mass ratio of a centrifugal pendulum damper, as provided in an embodiment of the present invention.

[0062] This invention provides a method for optimizing the mass ratio of a centrifugal pendulum damper, comprising:

[0063] Step 201: Obtain multiple inertia ratios to be analyzed. The inertia ratio to be analyzed is the ratio of the total equivalent inertia of the centrifugal pendulum block to the equivalent inertia of the arc spring.

[0064] Step 202: Discretely sample each inertia ratio to be analyzed within the preset target rotational speed range to obtain several rotational speed points;

[0065] In this embodiment of the invention, multiple inertia ratios to be analyzed between the centrifugal pendulum and the arc spring can be set, and then each inertia ratio to be analyzed can be discretely sampled within a preset target speed range to obtain several speed points.

[0066] The formula for calculating the inertia ratio to be analyzed is as follows:

[0067] β=Jp / Js

[0068] Where β is the inertia ratio to be analyzed, Jp is the total equivalent inertia of the centrifugal pendulum, Js is the equivalent inertia of the arc spring, and the constraint is Jtotal = Jp + Js = constant.

[0069] Step 203: Calculate the angular acceleration of the secondary flywheel at the rotational speed point, and calculate the vibration response index based on the angular acceleration;

[0070] In this embodiment of the invention, after setting multiple rotational speed points, the angular acceleration of the secondary flywheel at each rotational speed point can be calculated for each inertia ratio to be analyzed, thereby calculating the vibration response index of the inertia ratio to be analyzed based on the angular acceleration of the secondary flywheel at all rotational speed points.

[0071] Step 204: Calculate the total maximum stored energy of the system at the rotation speed point, and calculate the energy coordination index based on the stored energy;

[0072] In this embodiment of the invention, after setting multiple rotational speed points, the total maximum system storage energy of each inertia ratio to be analyzed at each rotational speed point can be calculated, thereby calculating the energy coordination index of the inertia ratio to be analyzed based on the total maximum system storage energy at all rotational speed points.

[0073] Step 205: Determine the optimal mass ratio of the centrifugal pendulum block and the arc spring based on the vibration response index and energy synergy index.

[0074] After determining the vibration response index and energy coordination index of each moment of inertia to be analyzed, the optimal moment of inertia ratio can be determined based on the vibration response index and energy coordination index, and then the optimal mass ratio of the centrifugal pendulum block to the arc spring can be determined based on the optimal moment of inertia ratio.

[0075] This invention employs a dual optimization objective of vibration response and energy storage to determine the optimal mass ratio between the centrifugal pendulum block and the arc spring, thereby ensuring that all components within the centrifugal pendulum vibration damper work in a coordinated manner, significantly improving the vibration reduction effect. Moreover, this process does not rely on empirical formulas and trial-and-error methods, reducing the uncertainty of the design results.

[0076] Please see Figure 3 , Figure 3 A flowchart illustrating a method for optimizing the mass ratio of a centrifugal pendulum damper, as provided in another embodiment of the present invention. Specifically, it may include the following steps:

[0077] Step 301: Determine the scanning range and step size of the inertia ratio;

[0078] Step 302: Determine multiple inertia ratios to be analyzed based on the scanning range and step size;

[0079] In this embodiment of the invention, the scanning range and step size of the inertia ratio can be determined, thereby determining multiple inertia ratios to be analyzed based on the scanning range and step size. The scanning range and step size can be flexibly set according to actual needs.

[0080] Step 303: Discretely sample each inertia ratio to be analyzed within the preset target rotational speed range to obtain several rotational speed points;

[0081] In this embodiment of the invention, each inertia ratio to be analyzed can be discretely sampled within a preset target rotational speed range to obtain several rotational speed points.

[0082] It should be noted that the preset target speed range can be flexibly selected according to actual needs, and the embodiments of the present invention do not impose specific limitations on this.

[0083] Step 304: Calculate the angular acceleration of the secondary flywheel at the rotational speed point, and calculate the vibration response index based on the angular acceleration;

[0084] In this embodiment of the invention, after setting multiple rotational speed points, the angular acceleration of the secondary flywheel at each rotational speed point can be calculated for each inertia ratio to be analyzed, thereby calculating the vibration response index of the inertia ratio to be analyzed based on the angular acceleration of the secondary flywheel at all rotational speed points.

[0085] In one example, step 304 may include the following sub-steps:

[0086] S41, Construct the dynamic equation of the centrifugal pendulum damper;

[0087] In one example, S41 may include the following sub-steps:

[0088] S411, obtain the main flywheel inertia, the combined inertia of the flange and secondary flywheel, the spring damping and spring stiffness of the arc spring, the side shaft damping and side shaft stiffness, and the centrifugal stiffness of the centrifugal pendulum.

[0089] S412 uses the main flywheel inertia, combined inertia and total equivalent inertia to construct the inertia matrix;

[0090] S413 uses spring damping and side-axis damping to construct the damping matrix;

[0091] S414, construct the stiffness matrix based on spring stiffness, lateral stiffness and centrifugal stiffness;

[0092] S415, calculate the force vector based on the excitation torque of the centrifugal pendulum damper;

[0093] S416 uses the inertia matrix, damping matrix, stiffness matrix and force vector to construct the dynamic equations.

[0094] In practical implementation, the system kinetic energy of the centrifugal pendulum damper is:

[0095]

[0096] in, The first derivative of the first rotation angle (absolute rotation angle) of the main flywheel with respect to time, Let Jp be the first derivative of the second rotation angle (absolute rotation angle) of the flange-secondary flywheel with respect to time, and Jp be the total equivalent moment of inertia of the centrifugal block. Let be the first derivative of the rotation angle of the centrifugal pendulum relative to the flange with respect to time.

[0097] Through calculation The inertia matrix can be obtained. for:

[0098]

[0099] Damping matrix for:

[0100]

[0101] Where C1 is the spring damping of the arc spring, and... - Proportional to, C2 is the side shaft damping of the side shaft, and Proportional.

[0102] Stiffness matrix for:

[0103]

[0104] Where K1 is the spring stiffness of the arc spring, and K2 is the lateral stiffness of the side shaft. The centrifugal stiffness of the centrifugal pendulum block.

[0105] Force vector :

[0106]

[0107] The dynamic equation is:

[0108]

[0109] in, For coordinate vectors:

[0110]

[0111] S42 transforms the dynamic equations from the time domain into motion differential equations in the frequency domain;

[0112] S43, solve the differential equation of motion to obtain the first rotation angle of the main flywheel and the second rotation angle of the secondary flywheel;

[0113] In this embodiment of the invention, the dynamic equations can be transformed from the time domain to the frequency domain differential equations of motion using the form of torque in the frequency domain, as follows:

[0114]

[0115] Solving the equations of motion, we can obtain and And the corresponding steady-state amplitude and phase.

[0116] S44, calculate the angular acceleration of the secondary flywheel based on the excitation frequency corresponding to the second rotation angle and the rotation speed point;

[0117] In practical implementation, angular acceleration The calculation formula is as follows:

[0118]

[0119] Next, for each rotational speed Calculate its corresponding excitation frequency. The angular acceleration of the secondary flywheel at each rotational speed is obtained. .

[0120] S45, calculate the vibration response index based on the second rotation angle at all rotational speeds according to the inertia ratio to be analyzed.

[0121] The formula for calculating the vibration response index PI1 is as follows:

[0122]

[0123] Step 305: Calculate the total maximum stored energy of the system at the rotation speed point, and calculate the energy coordination index based on the total maximum stored energy of the system;

[0124] In this embodiment of the invention, after setting multiple rotational speed points, the total maximum system storage energy of each inertia ratio to be analyzed at each rotational speed point can be calculated, thereby calculating the energy coordination index of the inertia ratio to be analyzed based on the total maximum system storage energy at all rotational speed points.

[0125] In one example, step 305 may include the following sub-steps:

[0126] S51, calculate the first maximum elastic potential energy of the arc spring;

[0127] S52, calculate the second maximum elastic potential energy on the lateral axis;

[0128] S53, calculate the maximum total stored energy of the centrifugal pendulum block;

[0129] S54, calculate the sum of the first maximum elastic potential energy, the second maximum elastic potential energy, and the maximum total stored energy to obtain the total maximum stored energy of the system at the rotational speed point;

[0130] S55, calculate the energy synergy index based on the total maximum stored energy of the system at all rotational speeds according to the inertia ratio to be analyzed.

[0131] In practical implementation, the deformation of the arc spring is Its amplitude is The formula for calculating the first maximum elastic potential energy of an arc spring is as follows:

[0132]

[0133] The deformation of the side shaft is Its amplitude is The maximum elastic potential energy is:

[0134]

[0135] A centrifugal pendulum possesses both kinetic energy from relative oscillation and potential energy from the centrifugal force field. Its total mechanical energy in the rotating coordinate system is... Due to the simple harmonic motion of the pendulum If its maximum kinetic energy and maximum potential energy are equal, and both are equal to half of the maximum total mechanical energy, then its maximum total stored energy is:

[0136]

[0137] Adding the above three items together, we can obtain the result at a specific excitation frequency. The maximum total stored energy that the system can achieve within one vibration cycle is as follows:

[0138]

[0139]

[0140] The energy synergy index PI2 is the average value of the total maximum storage within the target speed range. Therefore, the formula for calculating the energy synergy index PI2 is:

[0141]

[0142] The smaller the value (i.e., the more negative it is), the higher the average energy storage level of the system and the stronger the energy synergy.

[0143] Step 306: Determine the optimal mass ratio of the centrifugal pendulum block and the arc spring based on the vibration response index and energy coordination index of each inertia to be analyzed.

[0144] After determining the vibration response index and energy coordination index of each moment of inertia to be analyzed, the optimal moment of inertia ratio can be determined based on the vibration response index and energy coordination index, and then the optimal mass ratio of the centrifugal pendulum block to the arc spring can be determined based on the optimal moment of inertia ratio.

[0145] In one example, step 306 may include the following sub-steps:

[0146] S61, determine the optimal inertia ratio based on vibration response index and energy coordination index;

[0147] In specific implementations, such as Figure 4 As shown, a candidate solution distribution map can be plotted with PI1 as the x-axis and PI2 as the y-axis. Then, the Pareto front in the map can be identified. Each black dot represents a feasible solution, blue circles represent the frontier solutions, and red dots represent the initial values ​​(the positions of the first candidate solution points at the start of the calculation). Finally, the final solution is determined based on specific design requirements (such as the actual product's mass range, volume range, inertia constraints, etc.) and serves as the optimal inertia ratio between the centrifugal pendulum and the curved spring.

[0148] It should be noted that the method of solving the Pareto front and Pareto optimal solution of the vibration response index and the energy coordination index through Pareto can refer to the conventional method of Pareto, and no specific restrictions are imposed here.

[0149] S62 calculates the optimal mass ratio of the centrifugal pendulum block and the arc spring based on the optimal inertia ratio and the preset radius.

[0150] In this embodiment of the invention, after determining the optimal inertia ratio, the optimal mass ratio of the centrifugal pendulum and the arc spring can be calculated by combining the preset radius.

[0151] Furthermore, given the mass of the arc spring, the mass m of the centrifugal pendulum can be calculated based on the optimal mass ratio.

[0152] This invention employs a dual optimization objective of vibration response and energy storage to determine the optimal mass ratio between the centrifugal pendulum block and the arc spring, thereby ensuring that all components within the centrifugal pendulum vibration damper work in a coordinated manner, significantly improving the vibration reduction effect. Moreover, this process does not rely on empirical formulas and trial-and-error methods, reducing the uncertainty of the design results.

[0153] Please see Figure 5 , Figure 5 This invention provides a structural block diagram of a centrifugal pendulum vibration damper mass ratio optimization device.

[0154] This invention provides a device for optimizing the mass ratio of a centrifugal pendulum damper. The centrifugal pendulum damper includes a main flywheel, a flange, a secondary flywheel, an arc spring, a side shaft, and a centrifugal pendulum block. The main flywheel is connected to the flange via the arc spring, the flange is fixedly connected to the secondary flywheel, the centrifugal pendulum block is mounted on the flange, and the secondary flywheel is connected to a fixed support via the side shaft. The device includes:

[0155] The inertia ratio acquisition module 501 is used to acquire multiple inertia ratios to be analyzed. The inertia ratio to be analyzed is the ratio of the total equivalent inertia of the centrifugal pendulum block to the equivalent inertia of the arc spring.

[0156] The rotation speed point acquisition module 502 is used to discretely sample each inertia ratio to be analyzed within a preset target rotation speed range to obtain several rotation speed points;

[0157] The vibration response index calculation module 503 is used to calculate the angular acceleration of the secondary flywheel at the rotational speed point, and to calculate the vibration response index based on the angular acceleration.

[0158] The energy coordination index calculation module 504 is used to calculate the total maximum stored energy of the system at the speed point, and to calculate the energy coordination index based on the total maximum stored energy of the system.

[0159] The optimal mass ratio calculation module 505 is used to determine the optimal mass ratio between the centrifugal pendulum and the arc spring based on the vibration response index and energy coordination index of each inertia to be analyzed.

[0160] In this embodiment of the invention, the inertia ratio acquisition module 501 to be analyzed includes:

[0161] The scan range and step size determination submodule is used to determine the scan range and step size of the inertia ratio;

[0162] The inertia ratio determination submodule is used to determine multiple inertia ratios to be analyzed based on the scan range and step size.

[0163] In this embodiment of the invention, the vibration response index calculation module 503 includes:

[0164] The dynamic equation construction submodule is used to construct the dynamic equations of the centrifugal pendulum damper.

[0165] The motion differential equation generation submodule is used to transform the dynamic equations from the time domain to the frequency domain.

[0166] The rotation angle determination submodule is used to solve the motion differential equation to obtain the first rotation angle of the main flywheel and the second rotation angle of the secondary flywheel.

[0167] The angular acceleration calculation submodule is used to calculate the angular acceleration of the secondary flywheel based on the excitation frequency corresponding to the second rotation angle and the rotation speed point.

[0168] The vibration response index is calculated based on the second rotation angle at all rotational speeds using the inertia ratio to be analyzed.

[0169] In this embodiment of the invention, the dynamic equation construction submodule includes:

[0170] The parameter acquisition unit is used to acquire the main flywheel inertia, the combined inertia of the flange and the secondary flywheel, the spring damping and spring stiffness of the arc spring, the side shaft damping and side shaft stiffness, and the centrifugal stiffness of the centrifugal pendulum.

[0171] The inertia matrix construction unit is used to construct the inertia matrix using the main flywheel inertia, combined inertia, and total equivalent inertia.

[0172] Damping matrix construction unit, used to construct a damping matrix using spring damping and side-axis damping;

[0173] Stiffness matrix building unit, used to construct stiffness matrix based on spring stiffness, lateral stiffness and centrifugal stiffness;

[0174] The force vector calculation unit is used to calculate the force vector based on the excitation torque of the centrifugal pendulum damper.

[0175] The dynamic equation construction unit is used to construct dynamic equations using the inertia matrix, damping matrix, stiffness matrix, and force vector.

[0176] In this embodiment of the invention, the energy synergy index calculation module 504 includes:

[0177] The first maximum elastic potential energy calculation submodule is used to calculate the first maximum elastic potential energy of the arc spring.

[0178] The second maximum elastic potential energy calculation submodule is used to calculate the second maximum elastic potential energy of the side axis.

[0179] The maximum total stored energy calculation submodule is used to calculate the maximum total stored energy of the centrifugal pendulum block;

[0180] The system's total maximum stored energy calculation submodule is used to calculate the sum of the first maximum elastic potential energy, the second maximum elastic potential energy, and the maximum total stored energy to obtain the system's total maximum stored energy at the rotational speed point.

[0181] The Energy Coordination Index Calculation Submodule is used to calculate the energy coordination index based on the total maximum stored energy of the system at all rotational speeds according to the inertia ratio to be analyzed.

[0182] In this embodiment of the invention, the optimal mass ratio calculation module 505 includes:

[0183] The optimal inertia ratio calculation submodule is used to determine the optimal inertia ratio based on vibration response index and energy coordination index.

[0184] The optimal mass ratio calculation submodule is used to calculate the optimal mass ratio of the centrifugal pendulum and the arc spring based on the optimal inertia ratio and the preset radius.

[0185] This invention also provides an electronic device, which includes a processor and a memory:

[0186] The memory is used to store program code and transfer the program code to the processor;

[0187] The processor is used to execute the centrifugal pendulum vibration damper mass ratio optimization method of the present invention according to the instructions in the program code.

[0188] This invention also provides a computer-readable storage medium for storing program code for executing the centrifugal pendulum damper mass ratio optimization method of this invention.

[0189] Those skilled in the art will clearly understand that, for the sake of convenience and brevity, the specific working processes of the systems, devices, and units described above can be referred to the corresponding processes in the foregoing method embodiments, and will not be repeated here.

[0190] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on the differences from other embodiments. The same or similar parts between the various embodiments can be referred to each other.

[0191] Those skilled in the art will understand that embodiments of the present invention can be provided as methods, apparatus, or computer program products. Therefore, embodiments of the present invention can take the form of entirely hardware embodiments, entirely software embodiments, or embodiments combining software and hardware aspects. Furthermore, embodiments of the present invention can take the form of computer program products implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0192] Embodiments of the present invention are described with reference to flowchart illustrations and / or block diagrams of methods, terminal devices (systems), and computer program products according to embodiments of the invention. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing terminal device to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing terminal device, generate instructions for implementing the flowchart illustrations and / or block diagrams. Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0193] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing terminal device to operate in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.

[0194] These computer program instructions can also be loaded onto a computer or other programmable data processing terminal equipment, causing a series of operational steps to be performed on the computer or other programmable terminal equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable terminal equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.

[0195] Although preferred embodiments of the present invention have been described, those skilled in the art, upon learning the basic inventive concept, can make other changes and modifications to these embodiments. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments as well as all changes and modifications falling within the scope of the embodiments of the present invention.

[0196] It should be noted that the user information (including but not limited to user device information, user personal information, etc.) and data (including but not limited to data used for analysis, data stored, data displayed, etc.) involved in this application are all information and data authorized by the user or fully authorized by all parties. Furthermore, the collection, use and processing of the relevant data must comply with the relevant laws, regulations and standards of the relevant countries and regions, and corresponding operation entry points are provided for users to choose to authorize or refuse.

[0197] Finally, it should be noted that in this document, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or terminal device that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or terminal device. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or terminal device that includes said element.

[0198] The above-described 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 foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features. Such modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for optimizing the mass ratio of a centrifugal pendulum damper, characterized in that, The centrifugal pendulum vibration damper includes a main flywheel, a flange, a secondary flywheel, an arc spring, a side shaft, and a centrifugal pendulum block. The main flywheel is connected to the flange via the arc spring, the flange is fixedly connected to the secondary flywheel, the centrifugal pendulum block is mounted on the flange, and the secondary flywheel is connected to a fixed support via the side shaft. The method includes: Multiple inertia ratios to be analyzed are obtained, wherein the inertia ratio to be analyzed is the ratio of the total equivalent inertia of the centrifugal pendulum block to the equivalent inertia of the arc spring; Discrete sampling is performed on each inertia ratio to be analyzed within the preset target rotational speed range to obtain several rotational speed points; Calculate the angular acceleration of the secondary flywheel at the specified rotational speed, and calculate the vibration response index based on the angular acceleration; Calculate the total maximum storage energy of the system at the specified rotational speed point, and calculate the energy synergy index based on the total maximum storage energy of the system; The optimal mass ratio of the centrifugal pendulum and the arc spring is determined based on the vibration response index and the energy coordination index of each inertia to be analyzed.

2. The method according to claim 1, characterized in that, The step of obtaining multiple inertia ratios to be analyzed includes: Determine the scanning range and step size for the inertia ratio; Multiple inertia ratios to be analyzed are determined based on the scanning range and step size.

3. The method according to claim 2, characterized in that, The steps of calculating the angular acceleration of the secondary flywheel at the specified rotational speed and calculating the vibration response index based on the angular acceleration include: Construct the dynamic equations of the centrifugal pendulum damper; The dynamic equations are transformed from the time domain into motion differential equations in the frequency domain; Solving the equations of motion yields the first rotation angle of the main flywheel and the second rotation angle of the secondary flywheel. The angular acceleration of the secondary flywheel is calculated based on the second rotation angle and the excitation frequency corresponding to the rotation point. The vibration response index is calculated based on the second rotation angle at all rotational speeds using the inertia ratio to be analyzed.

4. The method according to claim 3, characterized in that, The steps for constructing the dynamic equations of the centrifugal pendulum damper include: The inertia of the main flywheel, the combined inertia of the flange and the secondary flywheel, the spring damping and spring stiffness of the arc spring, the side shaft damping and side shaft stiffness of the side shaft, and the centrifugal stiffness of the centrifugal pendulum are obtained. An inertia matrix is ​​constructed using the main flywheel inertia, the combined inertia, and the total equivalent inertia. The damping matrix is ​​constructed using the spring damping and the side-axis damping; Construct a stiffness matrix based on the spring stiffness, the lateral axis stiffness, and the centrifugal stiffness; Calculate the force vector based on the excitation torque of the centrifugal pendulum damper; The dynamic equations are constructed using the inertia matrix, the damping matrix, the stiffness matrix, and the force vector.

5. The method according to claim 4, characterized in that, The steps of calculating the total maximum system storage energy at the specified rotational speed and calculating the energy synergy index based on the total maximum system storage energy include: Calculate the first maximum elastic potential energy of the arc spring; Calculate the second maximum elastic potential energy of the side axis; Calculate the maximum total stored energy of the centrifugal pendulum block; The sum of the first maximum elastic potential energy, the second maximum elastic potential energy, and the maximum total stored energy is calculated to obtain the total maximum stored energy of the system at the specified rotational speed. The energy synergy index is calculated based on the total maximum stored energy of the system at all rotational speeds, according to the inertia ratio to be analyzed.

6. The method according to any one of claims 1-5, characterized in that, The step of determining the optimal mass ratio of the centrifugal pendulum and the arc spring based on the vibration response index and the energy coordination index of each inertia to be analyzed includes: The optimal inertia ratio is determined based on the vibration response index and the energy coordination index. The optimal mass ratio of the centrifugal pendulum and the arc spring is calculated based on the optimal inertia ratio and the preset radius.

7. A device for optimizing the mass ratio of a centrifugal pendulum damper, characterized in that, The centrifugal pendulum vibration damper includes a main flywheel, a flange, a secondary flywheel, an arc spring, a side shaft, and a centrifugal pendulum block. The main flywheel is connected to the flange via the arc spring, the flange is fixedly connected to the secondary flywheel, the centrifugal pendulum block is mounted on the flange, and the secondary flywheel is connected to a fixed support via the side shaft. The device includes: The inertia ratio acquisition module is used to acquire multiple inertia ratios to be analyzed, wherein the inertia ratio to be analyzed is the ratio of the total equivalent inertia of the centrifugal pendulum block to the equivalent inertia of the arc spring; The rotation speed point acquisition module is used to discretely sample each inertia ratio to be analyzed within a preset target rotation speed range to obtain several rotation speed points; The vibration response index calculation module is used to calculate the angular acceleration of the secondary flywheel at the specified rotational speed point, and to calculate the vibration response index based on the angular acceleration. The energy synergy index calculation module is used to calculate the total maximum stored energy of the system at the specified rotation speed point, and to calculate the energy synergy index based on the total maximum stored energy of the system. The optimal mass ratio calculation module is used to determine the optimal mass ratio of the centrifugal pendulum and the arc spring based on the vibration response index and the energy coordination index of each inertia to be analyzed.

8. The apparatus according to claim 7, characterized in that, The inertia ratio acquisition module to be analyzed includes: The scan range and step size determination submodule is used to determine the scan range and step size of the inertia ratio; The inertia ratio determination submodule is used to determine multiple inertia ratios to be analyzed based on the scanning range and step size.

9. An electronic device, characterized in that, The device includes a processor and a memory: The memory is used to store program code and transmit the program code to the processor; The processor is used to execute the centrifugal pendulum vibration damper mass ratio optimization method according to any one of claims 1-6, based on the instructions in the program code.

10. A computer-readable storage medium, characterized in that, The computer-readable storage medium is used to store program code for executing the centrifugal pendulum vibration damper mass ratio optimization method according to any one of claims 1-6.

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