A variant of the generalized-α scheme is proposed for constrained mechanical systems
represented by index-3 DAEs. Based on the analogy with linear multistep methods, an …

Flexible multibody dynamics is a rapidly growing field with various applications in vehicle
analysis, aerospace engineering, robotics, and biomechanics. Overall, the mathematical …

This paper proposes a family of Lie group time integrators for the simulation of flexible
multibody systems. The method provides an elegant solution to the rotation parametrization …

The dynamical simulation of mechanical multibody systems has stimulated the development
of theory and numerical methods for higher index differential-algebraic equations (DAEs) for …

This work discusses an efficient formulation of a geometrically exact three-dimensional
beam which can be used in dynamical simulations involving large displacements, collisions …

This article is devoted to the study of the conservation and the dissipation properties of the
mechanical energy of several time–integration methods dedicated to the elasto–dynamics …

This work proposes a fully-coupled topology optimization methodology to optimize the
structural components of flexible multibody systems. It employs the Adjoint Variable Method …

The premise of this work is that the presence of high stiffness and/or frictional contact/impact
phenomena limits the effective use of high order integration formulas when numerically …

Lie group integrators preserve by construction the Lie group structure of a nonlinear
configuration space. In multibody dynamics, they support a representation of (large) …

近年来构造高精度, 高效且具有长时程跟踪能力的保结构算法已逐渐成为地震波模拟算法发展的
重要方向之一. 本文基于谱元法(SEM) 进行空间域离散结合新推导的三阶辛算法(NTSTO) …