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| 外伸梁差分离散系统的模态反问题 | |
| 引用本文： | 吴磊,刘全金,章礼华,王其申. 外伸梁差分离散系统的模态反问题[J]. 计算物理, 2010, 27(3): 407-412 |
| 作者姓名： | 吴磊 刘全金 章礼华 王其申 |
| 作者单位： | 安庆师范学院物理与电气工程学院, 安徽 安庆 246011 |
| 基金项目： | 国家自然科学基金(10772001)资助项目 |
| 摘 要： | 研究外伸梁模态的反问题,即由两组位移模态或应变模态及相应的频率构造外伸梁差分离散模型物理参数的方法,讨论反问题解存在的充要条件.提出算法并用算例验证.结果表明,由应变模态构造外伸梁的物理参数比用位移模态构造梁的物理参数精度要高. |
| 关 键 词： | 外伸梁 振动 模态反问题 数值计算 |
| 收稿时间： | 2009-03-16 |
| 修稿时间： | 2009-08-31 |
Mode Inverse Problem of Difference Discrete Models for a Beam with Overhangs |
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| WU Lei,LIU Quanjin,ZHANG Lihua,WANG Qishen. Mode Inverse Problem of Difference Discrete Models for a Beam with Overhangs[J]. Chinese Journal of Computational Physics, 2010, 27(3): 407-412 | |
| Authors: | WU Lei LIU Quanjin ZHANG Lihua WANG Qishen |
| Affiliation: | School of Physics and Electric Engineering, Anqing Teachers College, Anqing 246011, China |
| Abstract: | Mode inverse problem for a beam with overhangs is discussed.Flexural rigidity and density of beam with overhangs are solved with two groups of displacement modes or two groups of strain modes and corresponding frequency.Necessary and sufficient conditions for unique existence of solution of the problem are discussed.An algorithm is proposed and numerical calculations are carried out.Two examples show that better results can be attained if strain modes instead of displacement mode are employed. |
| Keywords: | beam with overhang vibration mode inverse problem numerical calculation |
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