线黏弹性网格结构离散模型研究  

On a Discrete Model of Linear Viscoelastical Lattice Structure

作　　者：尹久仁[1] 张平[1] 郭翠芳[1] 

机构地区：[1]湘潭大学一般力学与工程材料研究所,湖南湘潭411105

出　　处：《湘潭大学自然科学学报》2003年第4期126-130,共5页Natural Science Journal of Xiangtan University

基　　金：国家自然科学基金资助项目(10372087)

摘　　要：在线弹性网格结构模型的基础上提出了一类适用于大规模二维粘弹性网格结构计算的离散模型,与前者相比,此模型与实际结构更为接近.该模型以网格节点为研究对象,其控制方程仅与跟节点相连的杆件数目及几何形状有关;只要给出几种基本类型的节点控制方程,就可以对具有相应形式节点的各种规模的网格材料组合其控制方程而求解.这种离散模型形式简单,尤便于在计算机上实现.In this paper a species of discrete model is proposed which is suitable to evaluate large scope of two- dimension lattice structure. The research object of this model is the node of lattice, and its governing equations are related to the number of bars connecting with node and the geometry. If only some types of governing equations of essential nodes are presented, the evaluation of cellular solids for all scope can be processed for every scope of lattice with a corresponding type node. The form of this model is simple and eased to carry out by computer.

关 键 词：网格结构 线黏弹性 离散模型 多胞材料 弹性-黏弹性对应性原理 

分 类 号：O343.1[理学—固体力学]