| 姚征,张洪武,钟万勰.连续系统的界带分析方法[J].计算力学学报,2013,30(6):749~756,776 |
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| 连续系统的界带分析方法 |
| Inter-belt analysis of continuous system |
| 投稿时间：2012-04-25 修订日期：2012-11-22 |
| DOI：10.7511/jslx201306001 |
| 中文关键词: 界带分析 子结构 辛方法 分析结构力学 |
| 英文关键词:inter-belt analysis symplectic method analytic structural mechanics sub-structure technique |
| 基金项目: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. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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