| 用二维弹性力学理论分析深梁的强迫振动问题 |
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| 引用本文： | 徐旭,何福保.用二维弹性力学理论分析深梁的强迫振动问题[J].上海大学学报(自然科学版),1995,1(5):482-489. |
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| 作者姓名： | 徐旭 何福保 |
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| 作者单位： | 上海大学建筑工程学院 |
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| 摘 要： | 本文从二维弹性理论出发，导出深梁振动的状态方程式，由深梁边界上的强迫力，可以分解成两种振动形式，即对称振动和反对称振动，通过徽分算子的代数运算，导出这两种振动形式的控制微分方程式，对于两边简支的深梁，给出了强迫振动问题的封闭解析解。西文
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| 关 键 词： | 二维弹性理论 深梁 强迫振动 梁 振动 |
A Study of Forced Vibration Problem of Deep Beam Based on Two Dimensional Elasticity Theory |
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| Xu Xu,He Fubao.A Study of Forced Vibration Problem of Deep Beam Based on Two Dimensional Elasticity Theory[J].Journal of Shanghai University(Natural Science),1995,1(5):482-489. |
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| Authors: | Xu Xu He Fubao |
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| Institution: | School of Architecture Engineering |
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| Abstract: | On the basis of the two dimensional linear theory of elastodynamics,the state equations of deep beam vibration are obtained. By the boundary forced loads,the symmetric vibration mode and the asymmetric mode can be composed.By using the calculation of the derivative operator, the governing differential equations of these two modes are formulated. For the simply supported deep beam, the closed form analytical solutions are given. |
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| Keywords: | two dimensional elasticity theory deep beam forced vibration |
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