Spectral Analysis of the Moving System with Multi-object Based on V-system

Based on an orthogonal function system over triangular domain, V-system, decomposing orthogonally a moving system with multiple moving objects into V-series, motion state of this moving system at different moment can be expressed in the frequency domain. To make full use of the advantage of the V-system, the capability to precisely express a 3D object group, each moving object is represented by a triangular mesh model, and then the energy curve data for the moving system is calculated by determining the coefficients of the V-series. The energy curve can be applied to the state analysis of the moving system. The relationship of energy curves of a moving system with different triangular mesh resolutions is analyzed. The experiment results show that there exist no strong dependence between energy curve and the resolution of 3D model, so when performing spectral analysis for a moving system, we can choose the model with low resolution, so that the computation can be reduced and the analysis efficiency can be improved. Finally, the mathematic relationship between energy of a moving system and some related variables is obtained by processing a large number of experimental data using the linear regression method. The characteristic of this study is reflected in the whole expression of a 3D model group, and the objects in the group are in motion.