Abstract

In order to obtain the spiral bevel gear wheel natural frequencies and mode shapes in the unconstrained state for the purpose of dynamic characteristics study, the spiral bevel gear wheel three-dimensional solid model of a mini-bus main reducer is established in this paper. The finite element model of spiral bevel gear wheel which consists of 32351 nodes, 18436 solid187 tetrahedrons finite element method elements is established by using free grid meshing method in this paper. Extract the first 6 orders modals parameters such as natural frequencies and main vibration mode shapes by using the Lanczos method. The new 1st to 4th orders modals are formed by comparing and merging 2 orders repeated modals. In order to verify the effectiveness of the finite element analysis results, the experiment modal test based on the impulse force hammer percussion transient single-point excitation and multi-point response analysis method has been done. The maximum difference value of natural frequency between experimental modal test result and finite element modal analysis results is 29.86 Hz, the maximum error rate is 0.41%, which confirmed the result of finite element method is effective and reliable. The conclusions reflect the vibration response characteristics of spiral bevel gear wheel, and provide theoretical basis for dynamic response, structure design and optimization of spiral bevel gear wheel.

Highlights

  • Spiral bevel gear with the good advantages of stable transmission, low noise, high contact coincidence ratio, is suitable for application on the automobile main reducer

  • It is difficult to establish a real constraint conditions and the incentives are very complex during the finite element constraint modal analysis for the spiral bevel gear wheel, because of the spiral bevel gear wheel with very complex constraint conditions, while the free modal itself reflects the spiral bevel gear wheel inherent dynamic characteristics [6,7,8,9], so the free modal analysis of a mini bus main reducer spiral bevel gear wheel has been done in this paper

  • The free modal analysis of spiral bevel gear wheel which non constraint and load added on the spiral bevel gear wheel was done, and the free modal parameters of the spiral bevel gear wheel was calculated

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Summary

INTRODUCTION

Spiral bevel gear with the good advantages of stable transmission, low noise, high contact coincidence ratio, is suitable for application on the automobile main reducer. Shock and noise problems [1] caused by spiral bevel gear work conditions of high speed and heavy load influence the ride comfort, manipulation stability and fuel economy of the automobile [2]. The Lanczos method with the smaller amount of computation, faster convergence speed [34,35], faster calculation speed and higher accuracy, is suitable for solid element and shell element in finite element analysis, and has been regarded as the most effective algorithms for solving the large sparse matrix eigenvalue problem [36,37,38,39,40,41]

Vibration Differential Equation
Lanczos Numerical Calculation Method
FINITE ELEMENT MODAL
FINITE ELEMENT FREE MODAL ANALYSIS
THE EXPERIMENT MODAL TEST AND VERIFICATION
CONCLUSION
Findings
REFRENCES
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