| 变截面梁大挠度振动的 Quadrature 解 |
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| 引用本文： | 梁枢平,李宏锋,陈文. 变截面梁大挠度振动的 Quadrature 解[J]. 华中科技大学学报(自然科学版), 1997, 0(11) |
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| 作者姓名： | 梁枢平 李宏锋 陈文 |
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| 作者单位： | 浙江大学(梁枢平)，上海交通大学(李宏锋)，华中理工大学力学系(陈文) |
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| 摘 要： | 使用Ｑｕａｄｒａｔｕｒｅ法求解了全简支和全固支两种边界条件下的各两种变截面梁的大挠度自由振动频率，当退化为等截面梁时其结果与现有文献的精确解高度一致，而以Ｑｕａｄｒａｔｕｒｅ法求解等截面梁同一问题的文献则是求解变截面梁的特殊情形．
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| 关 键 词： | Quadrature法；变截面梁；大挠度振动 |
The Quadrature Solution of Geometrically Nonlinear Vibration of Beams with Variable Cross Sections |
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| Liang Shuping Dept. of Mechanics,HUST,Wuhan ,China. Li Hongfeng Chen Wen. The Quadrature Solution of Geometrically Nonlinear Vibration of Beams with Variable Cross Sections[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1997, 0(11) |
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| Authors: | Liang Shuping Dept. of Mechanics HUST Wuhan China. Li Hongfeng Chen Wen |
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| Affiliation: | Liang Shuping Dept. of Mechanics,HUST,Wuhan 430074,China. Li Hongfeng Chen Wen |
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| Abstract: | The quadrature method is applied to analyze the geometrically nonlinear vibration of the beams with variable cross sections under both S S and C C boundary conditions. For each boundary condition, the beams with variable width and height are studied, and the natural frequencies found. The results agree very well with those in published literatures when the beam is degenerated to one of the uniform cross sections. It is shown that the work given in one literature also by the quadrature method for the same problem of the beam of uniform cross sections is just a special case of this paper. |
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| Keywords: | quadrature method beam of variable cross section geometrically nonlinear vibration |
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