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Inter-belt analysis of continuous system |
Received:April 25, 2012 Revised:November 22, 2012 |
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DOI:10.7511/jslx201306001 |
KeyWord:inter-belt analysis symplectic method analytic structural mechanics sub-structure technique |
Author | Institution |
姚征 |
大连海事大学 交通运输装备与海洋工程学院, 大连 |
张洪武 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
钟万勰 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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Abstract: |
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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