104 results about "Meshing stiffness" patented technology

The invention discloses a nonlinear dynamic modeling method of a helical gear transmission system considering wear. The method comprises the following specific steps: step (1), establishing a time-varying meshing stiffness calculation model of a helical gear pair in a healthy state; (2) establishing a time-varying meshing stiffness calculation model of the wear fault helical gear pair; (3) establishing a helical gear tooth surface friction model under the condition of mixed elastohydrodynamic lubrication; (4) establishing a deformation equation of the tapered roller bearing; (5) establishing a helical gear transmission system model considering wear, and solving the nonlinear vibration characteristics of the helical gear transmission system under different wear degree faults of the helical gear; the method has the beneficial effects that the nonlinear dynamic model of the helical gear transmission system considering wear is established, and technical support is provided for related technologies of fault dynamic modeling of the current helical gear transmission system.

The invention discloses a gear service life prediction method based on a lubrication-vibration coupling model and a related device, and relates to the technical field of gear service life prediction.The method comprises the steps that firstly, according to gear transmission input data, a three-dimensional mixed lubrication model containing a Reynolds equation coupling solving system is established, and meanwhile system excitation is calculated; then the oil film and the meshing rigidity are connected in parallel to form comprehensive rigidity, a bending-torsion coupling kinetic equation containing torsion and transverse freedom degrees is established, and a lubrication-vibration coupling model is constructed; finally, by means of coupling model output, the lubrication state is evaluated, the vibration characteristic is optimized, and the fatigue and abrasion life is predicted. According to the method, the three-dimensional mixed lubrication model and the system excitation calculation and coupling dynamics model are integrated, the lubrication and vibration coupling effect is considered, the limitation of independent analysis is overcome, the evaluation precision is improved, gear parameter optimization, lubrication scheme making and fault diagnosis can be guided, and the method has engineering application value.

The invention provides a gear peeling time-varying meshing stiffness prediction method and system based on a back propagation neural network, and the method comprises the steps: considering a tooth surface peeling fault based on a gear tooth bearing contact analysis method, and constructing a helical gear pair time-varying meshing stiffness calculation model; a real irregular tooth surface peeling area is fitted by adopting a least square ellipse fitting method to obtain an ellipse appearance representation, any peeling position is completely described through six key geometric parameters, the geometric parameters of the ellipse appearance are systematically traversed and fitted, and diversified peeling appearance samples are generated. Introducing a tooth profile deviation matrix corresponding to the peeling morphology sample into a tooth surface bearing contact analysis model, and constructing a training data set; and constructing a back propagation neural network model of multiple hidden layers, and performing end-to-end training by using the training data set, so that the back propagation neural network model learns a nonlinear mapping relationship from geometric parameters to a time-varying meshing stiffness curve, thereby predicting the time-varying meshing stiffness under any peeling morphology.

The invention discloses a face gear dynamics analysis method considering hybrid thermal elastohydrodynamic lubrication and microtexture coupling, which comprises the following steps: step 1, based on a gear dynamics theory, constructing an eight-degree-of-freedom face gear-rotor system dynamics model; 2, establishing a finite element analysis model of the micro-texture face gear transmission pair, solving time-varying meshing stiffness and coupling the time-varying meshing stiffness to a system kinetic equation; 3, coupling a micro-texture item representing the film thickness equation with the film thickness equation of mixed thermal elastohydrodynamic lubrication; 4, coupling the mixing and thermal influence with the elastohydrodynamic lubrication basic equation, and establishing a mixed thermal elastohydrodynamic lubrication model; 5, carrying out iterative solution on the mixed thermal elastohydrodynamic lubrication and micro-texture coupling equation, outputting the tooth surface friction force and the friction coefficient of a solution domain, and inputting the tooth surface friction force and the friction coefficient as parameters into a system kinetic equation; and 6, solving the coupled system kinetic equation by using a Runge-Kutta numerical integration method to obtain the kinetic response of the face gear transmission system.

The application discloses a gear time-varying meshing stiffness measurement method, which comprises the following steps: S1, a measurement model between current and time-varying meshing stiffness is established based on Hertz contact theory and Ishikawa formula; S2, a closed circuit is formed by connecting a driving gear, a driven gear and a power supply in series, and time-varying current of the circuit is measured; and S3, the time-varying current measured in S2 is substituted into the measurement model to obtain time-varying meshing stiffness of the gear. The application improves the measurement precision and efficiency of the gear time-varying meshing stiffness.

The application relates to the technical field of mechanical dynamics, and discloses a gear dynamics modeling method considering the influence of meshing position change. The gear dynamics modeling method realized by the method adopts a gear meshing stiffness model which no longer simplifies the meshing stiffness between a driving wheel and a driven wheel into equivalent meshing stiffness acting on a node with a fixed spatial position and only a change in amplitude, but truly considers the change of the instantaneous meshing position between the driving wheel and the driven wheel, that is, the gear meshing stiffness model considers the change of the stiffness amplitude in the time dimension and the change of the stiffness position in the space dimension, and the gear meshing stiffness model is more in line with the actual meshing state of the gear.

This invention belongs to the field of mechanical dynamics technology, and discloses an improved method, medium, and electronic device for load-bearing contact analysis of spiral bevel gears. Based on the tooth contact analysis method, the geometric parameters of the tooth surfaces of the large and small gears are obtained, a load-bearing contact analysis model of the spiral bevel gear pair is constructed, and the overall compliance matrix, overall contact compliance matrix, and local contact compliance matrix of the tooth surface are calculated. A deformation compatibility iterative equation is established, its ill-conditioned nature is analyzed, and a preprocessing matrix is ​​established to improve the deformation compatibility iterative equation. After improvement, the time-varying meshing stiffness and tooth surface load are solved. Based on the tooth surface load, the principal curvature of the tooth surface of the large and small gears is calculated using the Euler analytical method and the principal direction is determined. The contact stress is then solved using Hertz contact theory. This method improves upon the problems of traditional tooth load-bearing contact analysis methods, which suffer from low accuracy and efficiency due to the ill-conditioned nature of the contact compliance matrix under low load conditions and the reliance on numerical differences for curvature calculation.

The invention discloses a spline meshing characteristic calculation method based on a time-varying meshing position. The spline meshing characteristic calculation method comprises the following steps: establishing a spline meshing state characterization model of a spline; the spline tooth backlash and the pressure angle containing parallel misalignment of the spline are obtained through the spline meshing state characterization model; establishing a spline single-tooth meshing stiffness calculation model through a potential energy method, the spline tooth backlash and the pressure angle; spline tooth meshing deformation coordination conditions are obtained according to the spline single-tooth meshing rigidity calculation model; a spline meshing deformation calculation method of the spline is obtained according to the spline tooth meshing deformation coordination condition; establishing a spline meshing force model containing parallel misalignment according to a spline meshing deformation calculation method; and acquiring spline meshing characteristics of the spline according to the spline meshing force model. According to the method, a spline meshing force model containing parallel misalignment is established; the spline meshing characteristics can be described more accurately, and the design of a high-speed, high-reliability and low-vibration mechanical transmission system is facilitated.

The invention discloses a nonlinear dynamic modeling method and system for a planetary gear transmission system, relates to the technical field of transmission systems, and is used for solving the technical problems that in a planetary gear dynamic modeling mode in the prior art, errors of a meshing area and meshing force are large, and the vibration phenomenon of the planetary transmission system cannot be accurately reflected. The invention discloses a nonlinear dynamic modeling method for a planetary gear transmission system. The nonlinear dynamic modeling method comprises the steps of determining a two-stage straight-tooth planetary gear transmission system; establishing a degree-of-freedom model of the external and internal meshing gear pair according to the transmission system; improving the time-varying meshing stiffness of an internal and external meshing pair of the transmission system by using a degree-of-freedom model; obtaining multi-source excitation of the transmission system containing the time-varying meshing angle and the position angle according to the degree-of-freedom model; establishing a nonlinear function of the relative displacement and the gear backlash of the internal and external meshing pairs along the meshing line direction, and acquiring the meshing force of each meshing pair; and according to the time-varying meshing stiffness, the multi-source excitation and the meshing force, establishing a multi-stage planetary transmission kinetic model.

The application discloses a constant engagement characteristic pair-constructing external engagement cylindrical gear pair, and relates to the technical field of gear transmission, comprising a pair-constructing cylindrical gear I and a pair-constructing cylindrical gear II based on conjugate curves. The normal tooth profile curves of the pair-constructing cylindrical gear I and the pair-constructing cylindrical gear II are continuous combination curves with the same curve shape, facilitating machining with the same cutter; the common normal line at the inflection point or the tangent point of the continuous combination curve passes through the node of the gear pair, and the inflection point or the tangent point position can be adjusted according to actual requirements to adjust the sliding rate of the gear pair; the coincidence degree is designed as an integer, and the engagement stiffness can be kept constant, thereby greatly improving the dynamic engagement performance of the gear pair. In the application, the normal tooth profile of the pair-constructing cylindrical gear I and the pair-constructing cylindrical gear II is the same, the engagement point curvature radius is constant and tends to infinity, the sliding rate is constant, and the engagement stiffness is constant, and the application has the technical characteristics of low manufacturing cost, high bearing capacity, high transmission efficiency, low vibration and noise and the like.

The invention relates to the technical field of mechanical equipment monitoring, in particular to a rotary machinery gear transmission system kinetic parameter identification method, which comprises the following steps: step 1, based on a gear dynamics theory, considering meshing rigidity and meshing damping of a time-varying gear pair, and establishing a transmission chain torsional vibration kinetic model of rotary machinery; step 2, based on the transmission chain dynamic model established in the step 1, respectively establishing parameter identification objective functions of rotational inertia and meshing rigidity; 3, data of angular displacement, angular acceleration and torque of the transmission chain are continuously collected, and data preprocessing is completed; 4, reconstructing a target function of rotational inertia under the reference of the rotor coordinates, and solving the rotational inertia; step 5, based on the rotational inertia identified in the step 4, solving a meshing stiffness objective function; according to the method, the problem that the stability and the reliability of the gear transmission system cannot be accurately predicted by an existing identification method is solved.

A method for calculating the time-varying meshing stiffness of a cracked gear pair considering friction includes: obtaining gear parameters and crack parameters, establishing a gear meshing model, calculating the meshing angle range, and establishing a first cantilever beam model of a healthy gear without considering friction; establishing a second cantilever beam model of a cracked gear without considering friction; calculating the time-varying friction coefficient based on elastohydrodynamic lubrication theory; establishing a third cantilever beam model of a cracked gear considering friction; and deriving, using the potential energy method, a first calculation method for the time-varying meshing stiffness of a healthy gear pair without considering friction, a second calculation method for the time-varying meshing stiffness of a cracked gear pair without considering friction, and a third calculation method for the time-varying meshing stiffness of a cracked gear pair considering friction, based on the three gear cantilever beam models. This invention provides a more accurate time-varying meshing stiffness calculation for the gear pair using a more precise model. The results obtained using this method can effectively diagnose crack faults in gear transmission systems under actual operating conditions.

This invention discloses a nonlinear dynamic modeling method for crack evolution in a helical gear transmission system for vehicles, which includes the following steps: (1) establishing a calculation formula for meshing stiffness of the helical gear pair under cracked conditions using the slice integration method and the potential energy method; (2) establishing an equivalent circuit model of the motor by combining the principles of circuit theory and magnetic circuit theory with coordinate transformation relationship; (3) building an electromechanical coupling model of the motor-gear system based on the mechanical relationship between the motor and the gear transmission system; (4) establishing a model of the electromechanical coupling helical gear transmission system for vehicles and solving the influence mechanism of crack evolution of helical gears on the dynamic characteristics of the electromechanical coupling helical gear transmission system for vehicles; the beneficial effect is that this invention establishes a nonlinear fault dynamic model of the electromechanical coupling transmission system for new energy vehicles, which is of great significance for the design, optimization and life prediction of the helical gear transmission system for new energy vehicles.

This invention discloses a method for solving the dynamic coupling transmission error of a helical gear combined transmission system. The method first obtains the basic parameters of the helical gear combined transmission system and establishes a three-dimensional model of the system. Second, it calculates the static transmission error and time-varying meshing stiffness during gear meshing based on finite element analysis. Next, it establishes an 18-DOF dynamic model of the helical gear combined transmission system, considering time-varying meshing stiffness, installation and machining errors, tooth flank clearance, and meshing damping. Then, it inputs gear parameters and operating conditions, including input torque, output torque, and input speed, and uses the fourth-order variable-step Runge-Kutta method to obtain the dynamic response of the helical gear combined transmission system. Finally, it obtains the dynamic coupling transmission error of the helical gear transmission system based on the dynamic solution results.

The invention specifically discloses a helical gear pair tooth surface load distribution calculation method and system considering through cracks, and the method comprises the following steps: judging the number J of gear tooth pairs participating in meshing at a corresponding moment t, and dispersing the gear tooth pairs into N equant and independent sheet straight gears in the tooth width direction; the total rigidity of the ith normal tooth piece in the bevel gear pair is calculated; the total rigidity of the ith crack tooth piece in the bevel gear pair is calculated; the comprehensive time-varying meshing rigidity of the bevel gear pair is calculated; the inter-tooth load distribution coefficient and the tooth direction load distribution coefficient in the meshing tooth surface of the bevel gear pair are obtained; and calculating the dynamic meshing force (dynamic load) in the gear transmission process, and obtaining the tooth surface load distribution of the helical gear pair under the through crack. By adopting the technical scheme, the dynamic model of the helical gear pair under the through crack is established to calculate the dynamic load of the helical gear pair, and the tooth space distribution coefficient and the tooth direction distribution coefficient of the helical gear pair are multiplied by the dynamic load to obtain the tooth surface dynamic load distribution of the helical gear pair under the through crack.

The application discloses a kind of digital twin driven armored vehicle double-motor transmission mechanism coupling modeling method and application, consider including nonlinear factors such as time-varying engagement stiffness of gear, transmission error and meshing impact, the motion relationship and force relationship between components are described by applying force element, the dynamic model of coupling transmission mechanism is established;According to the dynamic mathematical equation and vector control theory of permanent magnet synchronous motor, the dynamic mathematical model and vector control model of permanent magnet synchronous motor are established;According to the dynamic model of coupling transmission mechanism and the vector control model of permanent magnet synchronous motor, coupling is carried out through electromagnetic torque, load torque and feedback speed, an electromechanical coupling model is established, the sensitivity of different parameters to response signal difference is analyzed based on the residual value of simulation signal and measured signal, sensitive parameters are screened out, the sensitive parameters of model are optimized based on the forgetting least square algorithm, and the model parameters are corrected based on the optimization result, and the digital twin model is updated.

The present application relates to the field of new energy vehicle electric drive technology, and particularly relates to a method and device for optimizing NVH performance of a gear transmission of an electric drive system, a terminal and a medium, the method comprising: performing tooth tip modification on a gear pair of the electric drive system, and using a tooth bearing contact analysis method to calculate time-varying mesh stiffness of the modified gear pair; taking the time-varying mesh stiffness as an excitation source, substituting it into a dynamic equation of the transmission system, and solving to obtain a dynamic response of the transmission system; taking bearing dynamic load in the dynamic response of the transmission system as a boundary condition, establishing a finite element-boundary element coupling model of the gear box, and simulating and predicting noise radiation of the gear box; evaluating improvement effects of different modification schemes on the NVH performance through the simulation and prediction results, and determining optimal gear modification parameters. The present application realizes forward design of simulation driving, shortens development cycle, reduces cost, and effectively improves system NVH quality.

The invention discloses a gear pair meshing stiffness calculation method considering a thermoelastic coupling effect, which relates to the field of gear transmission, and comprises the following steps: establishing a gear temperature field model and a contact model by utilizing a finite element method, obtaining a gear heat conduction matrix and a structural stiffness matrix, and calculating to obtain gear meshing stiffness and tooth surface load distribution based on an actual tooth surface equation. Calculating tooth surface heat flux density based on tooth surface load distribution, tooth surface friction coefficient and relative sliding speed of each meshing position to obtain a gear thermal load matrix, calculating to obtain an equivalent node load matrix according to a gear heat conduction matrix and the thermal load matrix, and calculating to obtain tooth surface thermal deformation by combining the equivalent node load matrix with a gear structure stiffness matrix. And repeating the steps to obtain the meshing rigidity of the gear pair under the thermoelastic coupling effect. According to the method, the gear contact state iterative solution model based on the potential energy method, the matrix polycondensation method and the slicing thought is established, the requirement for computing equipment is lowered, and the solution efficiency is improved.

The application provides a gear fatigue crack propagation life calculation method and system considering random dynamic load, and the method is as follows: a local plane coordinate system is established at a crack tip, and a crack propagation equation is constructed; time-varying mesh stiffness containing a tooth root crack feature is calculated; a vibration differential equation of a gear mesh pair is constructed and solved, and dynamic meshing forces of the gear pair under different crack states are obtained; the dynamic meshing forces of the gear pair under different crack states are processed, and a load spectrum is prepared, and variable amplitude load data with multi-periodicity are obtained; the variable amplitude load data are taken as boundary conditions, crack propagation is simulated, gear fatigue crack propagation data are read from a finite element data file; stress intensity factors are calculated based on the gear fatigue crack propagation data; and fatigue crack propagation life is estimated based on the Paris formula and the stress intensity factors. The method can improve the reliability and fatigue crack propagation life of the gear, improve the safety of equipment, and reduce maintenance costs.

The invention discloses a planetary roller screw gear-thread coupling excitation dynamics modeling method, which comprises the following steps: step (1), establishing a planetary roller screw stress model, and analyzing thread meshing elastic deformation; (2) establishing a calculation model of a gear pair system, and analyzing gear engagement excitation and time-varying engagement stiffness excitation; (3) establishing a mechanical equation set of a planetary roller screw gear pair and a thread pair, and analyzing the influence of gear meshing excitation on the thread dynamic contact force; (4) establishing a nonlinear dynamic differential equation set of the planetary roller screw transmission system; (5) reasonable parameters are selected to solve nonlinear response of the system; the method has the beneficial effects that the nonlinear dynamic response of the planetary roller screw considering the gear meshing and thread meshing coupling excitation can be solved, the current vacancy of the nonlinear dynamic modeling method of the planetary roller screw considering the gear meshing and thread meshing coupling excitation is filled, and the method has good universality.

The invention discloses a noise prediction method, system and device of a gear transmission system and a medium, and relates to the technical field of vehicle NVH. The method aims at solving the problems that in the prior art, a gear noise prediction model is tedious in calculation, and it is difficult to quantitatively evaluate the influence of microscopic modification and dislocation amount. The method comprises the following steps: determining helical gear pair meshing stiffness by utilizing straight gear stiffness model integration based on a slicing method; determining the vibration displacement by using a vibration displacement model considering the tooth direction crowning quantity, the tooth shape crowning quantity, the tooth top edge trimming quantity and the dislocation quantity; and finally, calculating a total noise value based on a noise prediction model comprising three parts of macroscopic parameters, power and vibration displacement. According to the method, theoretical derivation is combined with test correction, rapid and accurate prediction of the noise of the helical gear of the electric drive assembly is achieved, and gear modification design can be effectively guided.

The invention provides a digital twin tooth surface wear degradation morphology prediction method, which is applied to the field of gear transmission systems, and comprises the following steps: constructing a physical information neural network wear depth prediction model constrained by a gear transient wear model, obtaining a model for predicting a new tooth profile after the gear is worn and a rough morphology model for predicting tooth surface evolution after the gear is worn; a gear wear time-varying meshing stiffness calculation model is constructed, and the corrected wear gear time-varying meshing stiffness is obtained; in combination with a lumped parameter method, a gear system dynamic model is constructed, and a gear wear degradation transmission system simulation dynamic response is obtained; according to the method, the gear bearing supporting rigidity and damping are calibrated, the tooth surface dynamic meshing force is corrected, and finally the corrected tooth surface abrasion depth and the corrected tooth profile and tooth surface morphology are obtained. And interaction of actually measured vibration signals and tooth surface morphology virtual detection in gear box wear degradation is realized.

The application aims to provide an improved method for considering the lateral stiffness and the corner stiffness of the spline coupling with misalignment, comprising the following steps: establishing a schematic diagram of the load and deformation of the misaligned spline coupling, deducing the load and deformation balance equation of the misaligned spline engagement state according to the deformation geometry of the misaligned spline; deducing the single-tooth engagement stiffness according to the energy method, correcting the gear tooth engagement stiffness; bringing the single-tooth engagement stiffness of the spline obtained in step (2) into the engagement force balance equation obtained in step (1), and calculating the lateral stiffness and the corner stiffness of the misaligned spline coupling. Through comparison with the finite element results, the calculation results of the application are more efficient, and the vacancy of the calculation method of the lateral stiffness and the corner stiffness of the spline coupling under the misalignment condition at the present stage is made up.

The application relates to the technical field of mechanical dynamics, in particular to a fault gear time-varying meshing stiffness calculation method considering crack positions, which comprises the following steps: establishing a gear fault calculation model; determining corresponding crack category information, and pre-storing crack gear section division rules corresponding to the crack category information; detecting a crack position on the gear that has occurred a fault, adopting the crack gear section division rule to divide the crack position into sections to obtain a plurality of crack sub-sections; obtaining the bending stiffness and the shear stiffness of each crack sub-section for each crack sub-section; and summing the bending stiffness and the shear stiffness of each crack sub-section to obtain the bending stiffness and the shear stiffness of the fault gear. The bending stiffness and the shear stiffness of the fault gear can be obtained by inputting the parameters of the crack, and the calculation efficiency is higher.

This invention provides a method for diagnosing crack faults in spur gear systems based on actual crack propagation curves. The specific steps include: establishing a gear dynamics analysis model based on gear modal condensation; obtaining the root crack propagation path by combining historical data from gear crack fatigue propagation experiments and substituting it into the gear dynamics analysis model to obtain the time-varying meshing stiffness of the cracked gear; acquiring simulated acceleration signal data through the gear dynamics analysis model to establish root crack severity identification features; and using these features as actual signals, determining the degree of gear crack propagation through variational mode decomposition. This invention considers the simultaneous existence of center distance error and misalignment error, proposing an improved method for root crack identification. This invention utilizes simulation for index construction and reduces environmental noise interference through variational mode decomposition reconstruction, extracting crack vibration and impact characteristics hidden beneath periodic signals.

The invention relates to the technical field of new energy automobile electric driving, in particular to an optimization method and device for gear transmission NVH performance of an electric driving system, a terminal and a medium, and the method comprises the steps that tooth crest modification is conducted on a gear pair of the electric driving system, and the time-varying meshing rigidity of the gear pair subjected to modification is calculated through a gear tooth bearing contact analysis method; taking the time-varying meshing stiffness as an excitation source, substituting the time-varying meshing stiffness into a kinetic equation of the transmission system, and solving to obtain a kinetic response of the transmission system; the method comprises the following steps: establishing a finite element-boundary element coupling model of a gearbox by taking a bearing dynamic load in dynamic response of a transmission system as a boundary condition, and performing simulation prediction on noise radiation of the gearbox; and the improvement effect of different modification schemes on the NVH performance is evaluated through the simulation prediction result, and the optimal gear modification parameters are determined. The forward design of simulation driving is realized, the development period is shortened, the cost is reduced, and the NVH quality of the system is effectively improved.

The application discloses a bevel gear engagement stiffness calculation method, system, device and storage medium. The bevel gear engagement stiffness calculation method comprises the following steps: determining a target contact area of an engagement interface of a bevel gear pair in the case of gear tooth bearing contact analysis on the engagement process of the bevel gear pair; determining the entrainment velocity and the first bevel gear engagement stiffness of the bevel gear pair based on the target contact area, and constructing a bevel gear mixed thermal elastohydrodynamic lubrication control equation based on the entrainment velocity; in the case of setting a first pressure distribution value, a first oil film thickness distribution value and a first temperature field distribution value, determining the second bevel gear engagement stiffness through the bevel gear mixed thermal elastohydrodynamic lubrication control equation based on the first pressure distribution value, the first oil film thickness distribution value and the first temperature field distribution value, and determining the target engagement stiffness of the bevel gear pair based on the first bevel gear engagement stiffness and the second bevel gear engagement stiffness, thereby improving the accuracy of the bevel gear engagement stiffness calculation.

The application discloses a kind of based on the meshing stiffness calculation method of modification planetary gear based on tooth surface contact analysis, comprising the following steps: S100. Based on the engagement of the cutter and the modification gear when the cutter processes modification gear, the full tooth surface equation of the modification gear is established;S200. Based on the engagement of two modification gears, the contact equation of two modification gears is established, and the contact trajectory when two modification gears engage is calculated according to the contact equation;S300. According to the full tooth surface equation and the contact trajectory, the tooth surface point information on the contact trajectory is obtained, and the meshing stiffness is calculated using potential energy method according to the tooth surface point information.The meshing stiffness calculation method of modification planetary gear based on tooth surface contact analysis of the application can quickly and accurately calculate the time-varying meshing stiffness of planetary gear after modification, which is beneficial to the subsequent analysis of planetary gear system and suitable for popularization and use.

This invention relates to a method for obtaining the comprehensive meshing stiffness of a spiral bevel gear. The method specifically comprises: S1: Based on multi-tooth pair and meshing state analysis, and combining the given gear displacement angle and the rotation angle of the target tooth pair at the theoretical meshing position, obtaining the single tooth pairs that generate contact; S2: Based on the penetration amount between single tooth pairs and the meshing stiffness between single tooth pairs, obtaining the distributed load of all tooth pairs that generate contact; S3: Based on the deformation amount between single tooth pairs and the distributed load, obtaining the comprehensive meshing stiffness under multi-tooth meshing conditions. This invention incorporates the penetration amount between tooth pairs, more closely approximating the actual situation, thus reducing the error compared to reality.