【作者】 李宏；

【导师】 王左辉；

【作者基本信息】 合肥工业大学 ， 固体力学， 2008， 硕士

【摘要】 刚度矩阵是结构力学和有限元分析的基础,对一个受力物体将其划分为n个单元,各单元刚度矩阵集成为结构总刚度矩阵,可通过两个步骤:先将单元刚度矩阵[k]扩大到与结构刚度矩阵同阶,以便进行矩阵相加;再将单元刚度矩阵[k]中的各子块按照单元结点的实际编码安放在扩大的矩阵中,它的物理意义是该单元对结构刚度矩阵[K]的那些刚度系数有“贡献”。经过这样的转换,就可以叠加相关的扩大后的矩阵而得到结构的刚度矩阵。结构的总刚度矩阵[K]是由单元刚度矩阵集合而成,与单元刚度矩阵类同,也具有明确的物理意义,是结构离散后每个结点的平衡方程。与单元不同之处在于结构是单元的集合体,每个单元都对结构起一定的作用。本文形象细致的描述了如何从单元刚度矩阵形成总体刚度矩阵的过程。本文同时介绍刚体系运动学分析的一般方法及其计算机模拟,重点介绍刚体系各刚体的位形、位形改变的速度与加速度等随时间变化过程分析的基本原理与方法。本文最后以刚体系运动学的动态模拟为例介绍运动学计算机辅助分析的过程。更多还原

【Abstract】 Stiffness Matrix is the foundation about analyses of structural mechanics and finite element, a weighted object can be Divide into lots of elements, all the elements Stiffness Matrix can concentrate into a General Stiffness Matrix through two steps: first make the single Stiffness Matrix [ k ] expand to the order of general Stiffness Matrix, then can make the single Stiffness Matrix Add together. Second, put the single Stiffness Matrix in a certain place of general Stiffness Matrix, and its significance is that the single Stiffness Matrix contribution to the general Stiffness Matrix. Through this transform , we can get the general Stiffness Matrix. The general Stiffness Matrix’s physical meaning is equilibrium equation of every node, the differences to the single element is that the structure is the ensemble of the elements, every unit all plays a certain role to the structure. The purpose of this article to illustrate the process of that how the general stiffness matrix forms from the element stiffness Matrix.This paper also present the conventional analysis method and computer simulation to the Kinematics of Rigid body Systems at the same time ,and mainly introduce the analysis basal principle and method comply with the time varying process such as speed and acceleration of every rigid body’s place, place changes. Kinematics computer-aid analysis process is introduced finally taking the Dynamic analogies of Kinematics of Rigidbody Systems as the example.更多还原