Image-based point-cloud Hamiltonian dynamic analysis for biomechanical systems

摘要

The paper presents a discrete method for the dynamic analysis of biomechanical systems. The method works directly on a point-cloud representation of a material domain. An elastic body is represented by a set of interacting particles, and the dynamic behavior is described by Hamilton's equations. A first-order symplectic integrator, which also conserves the total linear and angular momentum, is utilized for numerical integration. The discrete formulation and integration method are presented in detail. Numerical examples are presented to show the numerical properties and demonstrate the method.