A study on harmonic superposition method based on cubic spline interpolation of random road reconstruction

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (10) : 23-30.

JIN Hongjie1,2，ZHONG Yue3，ZANG Liguo4,5，L Tian5

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Abstract

The key point of vehicle virtual test simulation research is how to reproduce the three-dimensional virtual road model on the basis of obtaining accurate test road information, and the core contents of the model are the reconstruction and analysis of road spectrum. In this paper, the elevation data acquisition and preprocessing of the sand road are carried out, and the spectrum distribution of road roughness is obtained. Secondly, the cubic spline interpolation technique is innovatively introduced on the basis of harmonic superposition method, the mutual power spectral density matrix between the center frequency points is decomposed by Cholesky method, and the reconstructed power spectral density model is obtained by interpolation method under different conditions. Finally, by comparing the correlation coefficient (r) of harmonic superposition method and three kinds of interpolation reconstruction spectrum with the original spectrum, it is found that the cubic spline interpolation method under the first boundary condition has obvious advantages in accuracy and efficiency of reconstruction. In addition, based on the expansion of this method, this paper uses MATLAB/GUI to establish the relevant test road spectrum database and software-based operation platform which provide reliable support for vehicle virtual test simulation.

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road spectrum reconstruction / cubic spline interpolation / harmonic superposition method / Cholesky decomposition

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JIN Hongjie1,2，ZHONG Yue3，ZANG Liguo4,5，L Tian5. A study on harmonic superposition method based on cubic spline interpolation of random road reconstruction[J]. Journal of Vibration and Shock, 2023, 42(10): 23-30

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