连续系统的界带分析方法  

Inter-belt analysis of continuous system

作　　者：姚征[1] 张洪武[2] 钟万勰[2] 

机构地区：[1]大连海事大学交通运输装备与海洋工程学院,大连116026 [2]大连理工大学工业装备结构分析国家重点实验室,大连116024

出　　处：《计算力学学报》2013年第6期749-756,776,共9页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11202040;11072042;10721062);国家重点基础基金研究项目(2009CB918501);中央高校基本科研业务专项(3132013066)资助项目

摘　　要：基于分析结构力学提出的界带分析方法,将子结构间的分界面延拓为有一定宽度的分界带/分界域,从而可以用于分析计算结构的非局部效应。界带分析方法首先在离散结构的分析计算中取得了成功,从而验证了该套理论算法的准确性。离散结构按界带宽度(影响域范围)划分子结构,因而限制了子结构区段积分计算的最小步长;而连续系统则要求可以实现任意步长的积分运算。通过引入步进的计算方法,界带分析方法可以实现任意步长的积分计算,进而可以解决连续系统的积分问题。通过数值算例验证了连续系统的界带分析方法的准确性和可行性,也为进一步研究该套计算方法在分析动力学中的应用打下基础。Based on analytic structural mechanics,the interface of the two nearest sub-structures extends to a region with a certain width,named inter-belt,where the inter-belt theory and the corresponding algorithm under the framework of symplectic system can analyze the nonlocal characteristic of structures.The inter-belt theory is firstly applied in the analysis of discrete system and achieves succeed,which demonstrates the veracity and feasibility of the theory.The discrete system partitions sub-structures by inter-belt width （the region of influence）,hence the minimum step-size of section integral is restricted; however the integral operation of continuous system needs arbitrary step-size.By presenting the step-increase algorithm,the inter-belt theory can deal with the integral problem of continuous system with arbitrary step-size.Numerical examples are carried out to demonstrate the validity of the theory and algorithm developed.As a basic research work,the present study illustrates well the potential of the inter-belt theory and is valuable for the further research in analytic dynamics.

关 键 词：界带分析 子结构 辛方法 分析结构力学 

分 类 号：O302[理学—力学]