In this paper, it is shown how to obtain recursive dynamics algorithms for multibody systems with serial, parallel, and closed-loop chains using the concept of Decoupled Natural Orthogonal Complement (DeNOC) matrices. The DeNOC is the product of two block matrices to yield the Natural Orthogonal Complement (NOC), which is a velocity transformation matrix orthogonal to the kinematic constraint m...

Extended Abstract The multibody system approach is widely used for analyzing the dynamic behavior of mechanical systems with large motions, and several programs are available for this task 1]. But there is still a lack of tools for synthesizing nonlinear dynamic systems systematically. This synthesis requires an optimal choice of the system parameters with respect to a given performance measure...

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...

Abstract The multibody system transfer matrix method (MSTMM), a novel dynamics approach developed during the past three decades, has several advantages compared to conventional methods. Some of these include avoiding global equations with inertia matrix, utilizing low‐order matrices independent degree freedom, high computational speed, and simplicity computer implementation. MSTMM been widely u...

Abstract Dynamical systems are often subject to algebraic constraints in conjunction with their governing ordinary differential equations. In particular, multibody commonly configuration that define kinematic compatibility between the motion of different bodies. A full-scale numerical simulation such constrained problems is challenging, making reduced-order models (ROMs) paramount importance. t...