| The suspension system of an automobile is an important component on the chassis of an automobile,and the shock absorber is an important component in the suspension system of an automobile.The non-linear damping characteristics of the shock absorber have a great influence on the vehicle’s handling stability,ride comfort and ride comfort.The design and development of traditional shock absorbers are still based on the "experience + trial and error" model,which has the disadvantages of time-consuming,laborious,and large errors.Therefore,in order to be able to improve the traditional research and development model of the shock absorber,it is particularly important to establish a mathematical model of the damper characteristics of the shock absorber.The mathematical model can be used to predict the damping characteristics of the shock absorber,greatly shorten the development cycle of the shock absorber and reduce the development cost.Therefore,in this paper,the mathematical model for establishing the damping characteristics of the double cylinder hydraulic shock absorber is studied.The main research work are as follows:(1)The structure and working principle of the double cylinder hydraulic shock absorber are studied in detail,and a three-dimensional model of the shock absorber is established.Based on the fluid mechanics theory and the mechanism of the damping force during the working process of the shock absorber,the mathematical model of the damping force of the shock absorber during the compression stroke and the restoration stroke is established,and the damping force of the compression valve and the restoration valve before and after opening.(2)Based on the theory of the elasticity mechanics,the differential equations of a single valve slice and superposed valve slices under large and small deflection deformations are established.And the superposition elastic valve slices with equal and unequal radius are derived.The differential equations of the bending deformation of the superposed valve slices at equal and unequal radius are derived and solved,which effectively solves the problem of bending deformation of the superposed valve slices.The finite element simulation model was established by ANSYS software,and the simulation value was compared with the analytical value,the relative error is about 1%.(3)Using MATLAB / Simulink software,the simulation models of the recovery valve and the compression valve before and after opening of the shock absorber during the recovery stroke and compression stroke are established,and the characteristics of force-displacement and force-velocity during its working process are simulated and analyzed.Comparison and error analysis of simulation data and the experimental data,and the experimental results are basically in agreement with the simulation analysis,the relative error is about 10%,and the simulation data is smaller than the experimental data,the result meets the expected requirements. |
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