Vehicle random vibration analysis using a SDOF parametric excitation model

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (2) : 79-86.

ZHU Dapeng1，XUE Ruzhuang1，CAO Xingxiao2

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Abstract

Analytical model for vehicle vibration with efficiency and accuracy is essential for package vibration reliability analysis and optimization. In this paper, vehicle was modeled as a single degree of freedom parametric excitation system, acceleration response of the vehicle excited by stationary loads was analyzed. The response characterization of the parametric system was approximated analytically by use of Mathieu’s equation, from the analysis, it can be observed that the fluctuation of stochastic process β(t) may give rise to the instability of vehicle response, which is the intrinsic reason to the rare large-altitude response of vehicle. The analysis methods for vehicle response under steady condition, instability condition and decay condition were proposed respectively, the parameter identification procedure for the parametric excitation system was also given. The simulation results indicated that one can simulate vehicle vibration accurately using the proposed parametric excitation model, which have good agreements with the experimental data in time domain manner and PDF manner. The model also provides an analytical basis for accurate and efficient research on package vibration reliability analysis.

Key words

package vibration reliability analysis / parametric excitation model / Mathieu’s equation / system parameters identification

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ZHU Dapeng1，XUE Ruzhuang1，CAO Xingxiao2. Vehicle random vibration analysis using a SDOF parametric excitation model[J]. Journal of Vibration and Shock, 2022, 41(2): 79-86

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