Dynamic analysis and experimental verification for multibody system by using incremental rotation in time-discrete model

Abstract

In this paper, we analyze the behavior of the chain by the analytical method of the multibody dynamics. For this system, there are two problems in the conventional method. One is the description of rotation for the rigid body. It leads to high nonlinearity and singularity caused by rotation. The other is the calculation efficiency due to the degree of freedom increases. In this research, in order to solve these problems, we introduces ”Rotation update equation”, which uses an incremental rotation for describing rotation matrix. This method doesn’t use the rotation angle in the equation, therefore the problems are mentioned improved. It can also reduce the calculation time, too. Moreover, this study introduces the normalization of the equation of rotation with the time step. It enables us to reduce the times of iteration procedure. This research compares the calculation results by the proroposed method with the results obtained from the experiment using the ball chain. Furthermore, we compare the experimental result and the analysis result by constructing an experimental equipment. From the above, we verified the validity of the proposed method.