Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method

The linear multibody system transfer matrix method (LMSTMM) provides a powerful tool for analyzing the vibration characteristics of mechanical system. However, original LMSTMM cannot resolve eigenvalues systems with ideal hinges (i.e., revolute hinge, sliding spherical cylindrical etc.) or bodies under conservative forces due to lack corresponding matrices. This paper enables solve planar rigid forces. For body, can now consider coupling terms between and kinematic state perturbations. Also, that contribute be considered. Meanwhile, are introduced LMSTMM, which treatment general using LMSTMM. Finally, comparative analysis ADAMS software analytical solutions verifies effectiveness proposed approach in this paper.