时滞与界带

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.

The conditions of self-adjointness and the constraction of Lagrangian for a first-order system

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 integral of time delay elasticity 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 inter-belt theory can be applied in solving the integral problems of time delay elasticity system,and the corresponding 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-belt as well as the symplectic algorithm and is valuable for the further research.