Symbolic linearization and vibration analysis of constrained multibody systems

• DOI: 10.1007/s00419-018-1376-8
• Publication Date: 2018-04-20T04:15:10Z
• Authors: Nguyen Van Khang; Nguyen Sy Nam; Nguyen Van Quyen
• Keywords: Linearization; Multibody system; Algebraic equation

A computer algebraic approach for linearization of the equations of constrained multibody systems is discussed in this paper. Based on linearized differential equations, the Newmark method is applied to calculate steady-state periodic vibrations of the parametric vibration of constrained dynamical models. The numerical calculation is also demonstrated on a model of a mechanism with elastic connecting link.