| 杆的差分离散系统一个新的模态反问题 |
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| 引用本文： | 何敏,王其申. 杆的差分离散系统一个新的模态反问题[J]. 力学季刊, 2011, 32(1): 141-146 |
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| 作者姓名： | 何敏 王其申 |
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| 作者单位： | 安庆师范学院物理与电气工程学院; |
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| 基金项目： | 国家自然科学基金(10772001)资助项目 |
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| 摘 要： | 本文研究杆的差分离散系统一个新的模态反问题,所考虑的杆件是同一种均匀材料构成的,但横截面积不恒定.首先,我们给出了变截面杆的纵向自由振动方程,采用分离变量法,得到了模态方程.然后,在最一般的边界条件,即两端弹性支承的边界条件下,采用二阶中心差分公式,导出了杆的差分离散模型.结果表明,所得到的系统属于标准雅可比系统.只对...
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| 关 键 词： | 杆 两端弹性支承 差分离散模型 模态 反问题 |
A New Inverse Mode Problem of Difference Discrete System of Rod |
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| HE Min,WANG Qi-shen. A New Inverse Mode Problem of Difference Discrete System of Rod[J]. Chinese Quarterly Mechanics, 2011, 32(1): 141-146 |
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| Authors: | HE Min WANG Qi-shen |
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| Affiliation: | HE Min,WANG Qi-shen(School of Physics & Electrical Engineering,Anqing Teachers College,Anqing 246133,China) |
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| Abstract: | A new inverse mode problem of difference discrete system of rod was researched.And the rod considered was made of same uniform material,but its cross-sectional area was not constant.The free longitudinal vibration equation of a rod with variable section was given and the mode equation was obtained by using method of separated variables.In the most general boundary conditions,i.e.the boundary conditions of elastic supports at both ends,by using the second-order center difference scheme,the difference discret... |
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| Keywords: | rod elastic supports difference discrete models mode inverse problem |
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