摘要
为研究具有复杂几何外形的柔性多体系统的动态应力响应或大变形运动,需提供一种能描述复杂几何外形并支持大变形的柔性体建模方法。利用完全非线性有限元方法,在多体系统框架下,开发包括线性和二次插值两种类型的四面体、五面体和六面体6种三维大变形实体单元,为准确描述多体系统中实体柔性体的大变形和任意的刚体运动提供一种建模方法。同时通过引进虚刚体建立实体单元和刚体的约束,利用赫兹理论处理实体单元和刚体之间的碰撞问题,将实体单元与多体系统有机结合在一起。最后通过数值算例验证了实体单元在多体系统动力学中的应用可行性和有效性。
To study dynamic stress response or large deformation of movement of flexible multi-body system with complex geometry,it＇s necessary to provide a flexible body modeling method of describing complex geometry and supporting large deformation.Based on the fully nonlinear finite element method,six kinds of three-dimensional large deformation solid elements including tetrahedron,wedge and brick with linear and quadratic interpolation were developed under the framework of multibody systems,providing a modeling method of accurately describing the large deformation and arbitrary rigid body movement.At the same time,the solid elements were integrated with multibody system through introducing virtual rigid body to establish constraint between solid element and rigid body,and using Hertz theory for handling contact between solid element and rigid bodies.Numerical examples demonstrate the application possibility and effectiveness of solid elements in multibody system dynamics.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2012年第3期733-739,共7页
Journal of System Simulation
关键词
多体系统动力学
绝对坐标
实体单元
大变形
multibody system dynamics
absolute coordinate
solid element
large deformation
