时滞与界带  

TIME DELAY AND INTER-BELT

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：《动力学与控制学报》2012年第2期97-106,共10页Journal of Dynamics and Control

基　　金：国家自然科学基金(11072042;10721062);国家重点基础研究项目(2009CB918501);中央高校基本科研业务专项资金(2012QN045)资助~~

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. 分析动力学中存在弹性时滞积分问题,在理论方面仍存在许多有待明确的问题. 通过分析结构力学与分析动力学间的模拟关系,可将界带分析方法用到弹性时滞积分问题中去,基于辛体系建立相应的分析计算方法. 数值算例验证该套理论算法的可行性,也为进一步开展深入研究打下了理论基础.Based on analytic structural mechanics, the interface of the two nearest sub-structures extends to a re- gion with a certain width, named inter-belt, where the inter-beh theory and the corresponding algorithm under the framework of symplectic system can analyze the nonlocal characteristic of structures. The integral of time delay e- lasticity system in analytic dynamics still has many questions in theoretical aspects, which needs to be made clear. There are simulative relations between analytic dynamics and analytic structural mechanics, hence the in- ter-belt theory can be applied in solving the integral problems of time delay elasticity system, and the correspond- ing arithmetic can be founded based on symplectic system. Numerical examples were carried out for the validity of the theory and algorithm developed. As a basic research work, the present study illustrates well the potential of the inter-beh as well as the symplectic algorithm and is valuable for the further research.

关 键 词：界带分析 时滞 辛方法 分析结构力学 子结构法 

分 类 号：O342[理学—固体力学]