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122 results about "Meshing stiffness" patented technology

Method for simulation analysis on meshing stiffness of cylindrical spur gear undergoing damaged single-tooth failure

The invention relates to a method for the simulation analysis on the meshing stiffness of a cylindrical spur gear undergoing damaged single-tooth failure. The method comprises the following steps: firstly, setting the correction coefficient of the meshing stiffness of single-tooth and double-tooth meshing section on the basis of the calculation results of the average stiffness according to the finite element method and the national standard method, so as to improve the calculation accuracy of the meshing stiffness of a normal gear according to the energy method; secondly, establishing a finite element model of the spur gear undergoing damaged failure targeting on the failure location of the spur gear by combining the three-dimensional modeling software and the finite-element analysis software, and compiling a simulation calculation program by using the computer language, so as to calculate the time-varying meshing stiffness; and finally, integrating the calculation results of the two steps to obtain the integrated meshing stiffness of the spur gear. By fully integrating the advantages of the corrected energy method and the finite element method, the invention can not only guarantee the calculation accuracy, but also improve the calculation efficiency. The method of the invention for the simulation calculation of the meshing stiffness of the gear undergoing damaged single-tooth failure is effectively applicable in the research on the vibration response mechanism of a gear system.
Owner:BEIJING UNIV OF TECH

Modeling method for transmitting mechanism torsional vibration analysis of passenger car under different operating conditions

The invention discloses a modeling method for transmitting mechanism torsional vibration analysis of a passenger car under different operating conditions. The modeling method is used in accurate prediction and analysis of transmitting mechanism torsional vibration characteristics of a passenger car under different operating conditions; according to the method, on the basis of a traditional concentrated parameter model, engine excitation, crank link mechanism moment of inertia, time-varying characteristics of gear meshing stiffness, clutch torsional shock absorber and the non-linear stiffness of the gear backlash are added to consideration; a simulation model suitable for analysis of transmitting mechanism dynamics characteristics of passenger car under different operating conditions is established; the engine cylinder pressure data under specific operating conditions is obtained through actual measurement or simulation as excitation; equivalent resistance moments of the rolling resistance and the air resistance are used as load to realize simulation of a passenger car under specific driving conditions. The method of the invention has strong practicality and has simple calculation; the method is suitable for the accurate prediction and analysis of transmitting mechanism torsional vibration characteristics of a passenger car.
Owner:SOUTH CHINA UNIV OF TECH

Method considering axial deformation for calculating time-varying meshing stiffness of helical gear

The invention proposes a method considering axial deformation for calculating time-varying meshing stiffness of a helical gear. The method aims at improving the accuracy of calculating the meshing stiffness of the helical gear. The method comprises the implementation steps of calculating the end surface bending stiffness, end surface shearing stiffness, radial compression stiffness and end surfacetooth base stiffness of the helical gear; calculating contact stiffness; calculating the end surface meshing stiffness of a single tooth pair; deducing and calculating axial bending stiffness, axialshearing stiffness and axial tooth base stiffness; calculating the meshing stiffness of the single tooth pair; calculating the time-varying meshing stiffness. According to the method, the influence ofaxial meshing force on the time-varying meshing stiffness of the helical gear is considered, a calculation expression for the quantitative calculation of the axial bending stiffness, axial shearing stiffness and axial tooth base stiffness of the helical gear is deduced, the time-varying meshing stiffness of the helical gear is calculated by combining all the stiffness in the end surface direction, the calculation accuracy is improved, and the method can be used for the dynamic performance analysis and optimization design of the helical gear.
Owner:XIDIAN UNIV

Time-varying characteristic quantitative calculation method for meshing stiffness of gear with minor defect

The invention relates to a quantitative calculation method for the meshing stiffness of a gear with a minor defect. In order to describe the influence of a typical gear fault on the time-varying stiffness characteristic, a meshing stiffness energy method calculation model is firstly introduced, wherein five kinds of elastic strain energy, which refers to bending, shearing, radial compression, contact and base deformation, are respectively considered, and five corresponding stiffnesses are further formed. The quantitative calculation method is based on the energy method, the influences of case crush, tooth root crack and tooth breakage on the stiffness distribution are discussed one after another. Aiming at spalling defects, the influences of spalling length (in the meshing direction) and spalling width (in the tooth width direction) on a stiffness distribution curve is researched, and the quantitative relationship between the spalling size and the stiffnesses degradation is obtained. In the aspect of flexural fatigue crack, the change rule of the stiffness curve along with the crack depth, and the quantitative relationship between the stiffness curve and the crack depth are discussed. In the aspect of broken gear tooth, the influence of missing of a single tooth on the stiffness distribution is discussed. By adopting the quantitative calculation method, the actual meshing situation can be really reflected, the complexity and computation in the process of solving can be lowered.
Owner:BEIJING UNIV OF TECH

Method for measuring variable stiffness in process of gear mesh

The invention relates to a method for measuring variable stiffness in the process of gear mesh. A state, between single-tooth and double-tooth alternative mesh critical states, of two gears serves as a mesh measurement period, and a formula (see the instructions) in one mesh measurement period is marked as a rotation angle of a pinion, wherein the epsilon is a gear contact ratio, Zp is the number of teeth of the pinion, i can be anyone in 1, 2, 3..., 10, the marked rotation angle thetai of the pinion serves as a measuring position, and stiffness values Ki at all measuring positions of the pinion are connected to obtain a meshing stiffness in one mesh measurement period of the gears. By means of the method for measuring the variable stiffness in the process of gear mesh, the variable stiffness in the process of gear mesh can be rapidly measured, the practical measurement efficiency can be greatly improved, test time is saved by setting the mesh measurement period and determining the measuring points, a rapid and effective verification test is provided for the design of gears, more importantly, the efficient measuring method even proximate to the production rhythm is provided for manufacturing enterprises, and the method is suitable for being applied to mass production.
Owner:YANCHENG INST OF TECH

Method for solving dynamic characteristics of involute straight gear transmission system

The invention provides a method for solving dynamic characteristics of an involute straight gear transmission system. The method comprises the steps: S1, establishing an involute straight gear transmission system nonlinear kinetic model based on a concentrated mass method; s2, considering the time-varying meshing stiffness, the dynamic transmission error, the friction, the eccentricity, the shapecorrection, the gap, the gravity and the nonlinear bearing force, and deriving an involute straight gear transmission system nonlinear kinetic equation based on a Lagrangian equation; s3, based on Runger-Kutta method to solve the dynamic characteristics of the involute straight gear transmission system. According to the method, nonlinear influence factors such as time-varying meshing stiffness anddynamic transmission errors are comprehensively considered, and a mass concentration method, a Lagrangian equation and Runger-Kutta method is combined and applied to solving the dynamic characteristics of the involute straight gear transmission system, the solving accuracy and efficiency of the dynamic characteristics of the involute straight gear transmission system are improved, and the methodhas important significance for improving the meshing stability and bearing capacity of the gear transmission system, reducing the friction loss and the like.
Owner:NORTHEASTERN UNIV

A straight gear meshing stiffness calculation method considering a complex matrix and a crack propagation path

The invention relates to a straight gear meshing stiffness calculation method considering complex matrix and crack propagation, and the method comprises the steps: obtaining an overall flexibility matrix of a driving wheel and a driven wheel of a meshing gear based on a finite element theory, and determining an overall flexibility matrix of a possible contact point at each meshing position; Introducing a nonlinear Hertz contact theory, and calculating a contact flexibility matrix of possible contact points at each meshing position; And introducing the overall flexibility matrix, the contact flexibility matrix and the initial gap vector of the possible contact point into a deformation coordination equation, and calculating the meshing stiffness of the meshing position. According to the method, crack propagation paths obtained through fracture mechanics can be considered at the same time, and the influence of a complex matrix structure (including a web structure and a lightening hole structure) on the meshing rigidity of the straight gear can be considered at the same time. According to the method, the straight gear meshing stiffness considering the gear web structure, the lighteninghole structure and the crack propagation path can be calculated at the same time. The result of the method is verified by adopting a three-dimensional contact finite element method, and the result shows that the method disclosed by the invention has higher precision for calculating the meshing stiffness of the crack-containing complex matrix gear.
Owner:NORTHEASTERN UNIV

A method for calculating the time-varying meshing stiffness of an internal meshing gear pair of a straight-tooth cylindrical gear

ActiveCN109783840AMake up for the vacancy of stiffness calculation methodEasy to solveSpecial data processing applicationsMeshing stiffnessMechanical engineering
The invention discloses a method for calculating the time-varying meshing stiffness of an internal meshing gear pair of a straight-tooth cylindrical gear. The method comprises the following steps thatS1, single-tooth meshing stiffness of an inner gear and an outer gear in a straight-tooth cylindrical gear inner meshing gear pair is calculated on the basis of a potential energy method; S2, the single-tooth meshing stiffness of the inner gear and the outer gear is converted into a function about the angular displacement of the outer gear according to the geometrical relationship; And S3, whether the stage of gear pair meshing is single meshing or double meshing is judged through gear angular displacement, and the time-varying meshing stiffness value of the inner meshing gear pair of the straight-tooth cylindrical gear is calculated on the basis of the stiffness series-parallel theory. On one hand, the blank of a time-varying stiffness calculation method of the gear under internal meshing at the present stage can be made up, and on the other hand, solving can be simplified and the calculation efficiency can be improved by combining gear geometric information on the basis of giving play to the high-precision advantage of an analytical method.
Owner:SOUTH CHINA UNIV OF TECH

Analyzing method of time-varying mesh stiffness of single roller enveloping worm gear pair

The invention provides an analyzing method of time-varying mesh stiffness of a single roller enveloping worm gear pair and aims to acquire the time-varying mesh stiffness of the single roller enveloping worm gear pair. The method includes: deducing worm tooth bending stiffness, shear stiffness and radial compression stiffness formulas; calculating worm tooth base stiffness; calculating worm gear tooth bending stiffness and shear stiffness; calculating worm gear tooth base stiffness; calculating worm stiffness and worm gear stiffness at a disperse contact point; calculating contact stiffness; performing serial and parallel calculation on the worm stiffness, the worm gear stiffness and the contact stiffness; calculating the time-varying mesh stiffness. The method has the advantages that the time-varying mesh stiffness of the single roller enveloping worm gear pair can be calculated, the worm gear stiffness and the worm stiffness can be further decomposed, the worm tooth bending stiffness, shear stiffness and radial compression stiffness formulas are provided, a calculation model of the number of meshing worm gear teeth in a mesh cycle is provided, and the method is applicable to the dynamic performance analysis and optimization design of the single roller enveloping worm gear pair.
Owner:西安启工数据科技有限公司

A straight gear meshing stiffness dynamic correction calculation method under a fluctuation load working condition

The invention discloses a method for dynamically correcting and calculating the meshing stiffness of a straight gear under a fluctuation load working condition, and belongs to the technical field of mechanical dynamics. The method comprises the following steps: synthesizing time-varying meshing stiffness of a transmission gear pair in a gear transmission system under a constant load working condition by using an energy method, calculating average meshing stiffness of each pair of gear pairs, substituting the average meshing stiffness into a bending-torsion coupling model of the gear transmission system, and loading an external fluctuation load to solve transverse vibration and torsional vibration responses of the system; analyzing the influence of transverse vibration and torsional vibration responses on the actual meshing state of each transmission gear pair under the fluctuation load working condition; and the straight gear meshing stiffness under the external fluctuation load working condition is dynamically corrected. The method has the advantages that the actual meshing state of the straight gear pair is reflected more truly; different from a traditional straight gear meshingstiffness calculation method, the method considers that the center distance, the meshing angle and the coincidence degree of a meshing gear pair are changed instead of being constant, and the method is closely related to the vibration state of a driving wheel and a driven wheel.
Owner:HARBIN ENG UNIV

Method for quickly calculating time-varying meshing stiffness of helical gear pair under actual working conditions

PendingCN112036049AFast Calculation of Synthetic Mesh StiffnessFast calculation of time-varying mesh stiffnessGeometric CADDesign optimisation/simulationGear wheelContact line
The method for quickly calculating the time-varying meshing stiffness of the helical gear pair under the actual working condition comprises the following steps: firstly, calculating the length of a contact line on gear teeth participating in meshing in the helical gear at a certain moment according to the overlap ratio of the helical gear under the specific working condition and the meshing position of the helical gear pair at the certain moment, therefore, each gear tooth participating in meshing in the helical gear pair at the moment is decomposed into countless independent straight tooth slices with the same thickness along the tooth width direction; calculating the meshing radius of a straight tooth slice on the end surface of the helical gear pair at the moment; calculating the meshing stiffness of all straight tooth slice meshing pairs of each gear tooth participating in meshing in the helical gear pair at the moment by considering the gear pair displacement coefficient, the overlap ratio and the like, and calculating the meshing stiffness of each meshing gear tooth of the helical gear pair at the moment and the total meshing stiffness of the helical gear pair; and finally, by analogy, calculating the meshing stiffness of the helical gear pair at each discrete moment under the actual working condition, thereby quickly calculating the time-varying meshing stiffness of thehelical gear pair under the actual working condition.
Owner:ZHUZHOU GEAR CO LTD

Method for controlling anisotropic vibration of torsional vibration shaft system

InactiveCN103742593AAvoid counter-vibrationChange mesh stiffnessInertia force compensationGearing detailsVibration controlGear system
The invention provides a method for controlling anisotropic vibration of a torsional vibration shaft system. The mechanism of the torsional vibration and anisotropic vibration of shaft system mainly explains that the reason of generating anisotropic vibration is that symmetric branch structures exist in the torsional vibration shaft system and is provided with a plurality of same inherent frequencies, in the corresponding modes of vibration with same inherent frequencies, the amplitudes of the symmetrical structures are far greater than that of other parts of the torsional vibration shaft system. A method of implementing specific control measure is that the torsional vibration shaft system is designed to be a nonsymmetrical torsional vibration structure, so that different torsional dampers can be configured for the torsional vibration shaft system, and the inertia or torsional rigidity can be changed. In order to guarantee that the system is provided with enough torsional strength and the weight is not increased, the shapes of parts of same weights can be changed to obtain different inertias, so that the anisotropic vibration of the torsional vibration shaft system can be conveniently and effectively controlled. In a concentric symmetric gear system, a load regulating method is adopted to change the meshing stiffness so as to change torsional rigidity, so that the inherent frequency of the anisotropic vibration is adjusted to achieve an aim of controlling the anisotropic vibration.
Owner:HARBIN ENG UNIV
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