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Study on dynamic characteristics of vehicle gearbox under multi-boundary conditions

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Abstract

With the development of vehicle gearbox to high-power-density and high-speed, how to predict and optimize the dynamic characteristics of vehicle gearbox becomes increasingly prominent. Aiming at the vehicle gearbox, this paper comprehensively and deeply studies the dynamic characteristics under the multi-boundary conditions. The generation mechanism of the multi-source excitations triggering the gearbox vibration is analyzed firstly. The vibration transfer path of the gearbox is explored. Secondly, the engine excitation, the gear meshing excitation and the bearing support load are numerically calculated. According to the finite element method, a fluid-solid coupling finite element model of the gearbox body is established to predict the gearbox dynamic responses based on the Galerkin method and the Hamiltonian variational principle. Finally, the effects of the excitation condition, oil height and reinforcement forms on the vibration responses of the gearbox body are thoroughly studied by simulation. The analysis indicates that it not only helps to modify and improve the method of forecasting the gearbox dynamic response, and also provides the theoretical and technical guidance for the gearbox design and optimization.

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Abbreviations

A e :

The coordinate transformation matrix of the fluid element

A r :

The torque amplitude of the rth harmonic order

C e :

The structural element damping matrix

C f :

The damping matrix of the fluid element

e 0 :

The constant tooth error

e r :

The amplitude of the tooth error

f f1 :

The tooth profile tolerance of the driving gear

f f2 :

The tooth profile tolerance of the driven gear

f pb1 :

The pitch deviation of the driving gear

f pb2 :

The pitch deviation of the driven gear

F :

The bearing support force

F y :

The support force in the y direction

F z :

The support force in the z direction

k g :

The gear meshing stiffness

K e :

The structural element stiffness matrix

K f :

The stiffness matrix of the fluid element

m i :

The mass of the transmission shaft

M e :

The structural element mass matrix

M f :

The mass matrix of the fluid element

N e :

The dynamic pressure shape function vector of the fluid element

N Se :

The shape function vector of the structural element normal acceleration at the fluid solid interface

p d :

The pressure vector of the fluid element

p f :

The dynamic pressure vector of the fluid element

r :

The harmonic order

R e :

The dynamic load vector of the structural element nodes

t :

The time

T e :

The engine output torque of the single cylinder

T ed,r :

The rth order torsional vibration excitation

T esl,r(t):

The rth harmonic order torsional vibration excitation of the left cylinder

T esr,r(t):

The rth harmonic order torsional vibration excitation of the right cylinder

u e :

The node displacement vector

u n :

The normal speed of the structure immersed surface

α:

The crank angle

δsyi :

The mesh node deformation of the gear teeth

ρf :

The fluid density

τ:

The meshing period

φ:

The phase of the gear error

ϕf :

The harmonic order with respect to ωf of the periodic steady vibration

ψ:

The work phase offset of the cylinders

ωe :

The crank angle speed

ωf :

The vibration frequency of the gearbox

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Authors and Affiliations

  1. School of Mechanical and Automotive Engineering, Xiamen University of Technology, Xiamen, Fujian, 361024, China

    Shengping Fu  (符升平), Ning Luo  (罗 宁) & Shengbo Li  (李胜波)

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  1. Shengping Fu  (符升平)
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  2. Ning Luo  (罗 宁)
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  3. Shengbo Li  (李胜波)
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Corresponding author

Correspondence to Ning Luo  (罗 宁).

Additional information

Foundation item: the National Natural Science Foundation of China (Nos. 51505402 and 51405410), and the Education and Scientific Research Projects of Young and Middle-Aged Teachers in Fujian Province in 2014 (No. JA14245)

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Fu, S., Luo, N. & Li, S. Study on dynamic characteristics of vehicle gearbox under multi-boundary conditions. J. Shanghai Jiaotong Univ. (Sci.) 22, 24–34 (2017). https://doi.org/10.1007/s12204-017-1795-7

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  • DOI: https://doi.org/10.1007/s12204-017-1795-7

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