| 粘弹性悬臂梁弯曲变形的哈密顿体系方法 |
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| 引用本文： | 张维祥,邵兴,徐新生,原方.粘弹性悬臂梁弯曲变形的哈密顿体系方法[J].兰州理工大学学报,2009,35(3). |
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| 作者姓名： | 张维祥 邵兴 徐新生 原方 |
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| 作者单位： | 1. 河南工业大学,土木建筑学院,河南,郑州,450052
2. 大连理工大学,工业装备结构分析国家重点实验室,江苏,大连,116024 |
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| 摘 要： | 利用对应原理和变分法,提出一种求解粘弹性悬臂梁问题的哈密顿体系方法,得到对偶方程的基本解向量,即零本征向量和非零本征向量.具体问题的解可表示为这些本征向量的线性组合,组合系数取决于边界条件.通过算例描述粘弹性悬臂梁弯曲变形的应力分布规律、由端部的位移约束带来的应力集中现象以及弯曲变形的蠕变特征,表明了这种方法的有效性.
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| 关 键 词： | 哈密顿体系 对偶方程 本征向量 应力集中 悬臂梁 |
Hamiltonian system approach to bending problem of viscoelastic cantilever-beams |
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| ZHANG Wei-xiang,SHAO Xing,XU Xin-sheng,YUAN Fang.Hamiltonian system approach to bending problem of viscoelastic cantilever-beams[J].Journal of Lanzhou University of Technology,2009,35(3). |
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| Authors: | ZHANG Wei-xiang SHAO Xing XU Xin-sheng YUAN Fang |
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| Institution: | ZHANG Wei-xiang1,SHAO Xing1,XU Xin-sheng2,YUAN Fang1(1.School of Civil Engineering and Architecture,Henan University of Technology,Zhengzhou 450052,China,2.State Key Laboratory of Structure Analysis of Industrial Equipment,Dalian University of Technology,Dalian 116024,China) |
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| Abstract: | The correspondence principle and variational method were employed to introduce a Hamiltonian system method for dealing with the bending problem of viscoelastic cantilever-beams,so that fundamental eigenvectors of dual equations,i.e.the zero eigenvectors and nonzero eigenvectors,were obtained.For a specific problem,its solution could be expressed by linear combination of these eigenvectors,and the coefficients of the combination were determined by boundary conditions.By means of an illustrative numerical com... |
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| Keywords: | Hamiltonian system dual equations eigenvectors stress concentration cantilever-beam |
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