| 变截面悬臂梁—侧受液体作用时的自由振动解法 |
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| 引用本文： | 李廷生,殷士农.变截面悬臂梁—侧受液体作用时的自由振动解法[J].河海大学学报(自然科学版),1990(4). |
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| 作者姓名： | 李廷生 殷士农 |
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| 作者单位： | 河海大学数学物理系，河海大学数学物理系 |
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| 摘 要： | 本文对变截面悬臂梁在一侧受有液体作用时自由振动的问题提出一种求解方法.即通过能量取驻值的条件,用方块脉冲函数(block-pulse functions),求得变截面情况的振型函数和频率的近似计算公式;经简化,获得等截面情况的近似计算公式.
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| 关 键 词： | 变截面 悬臂梁 自由振动 方块脉冲函数 近似解法 |
A Method of Solution for Free Vibration of a Variable Cross-Section Cantilever Beam with a Liquid on Its Side |
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| Li Tingsheng Yin Shinong.A Method of Solution for Free Vibration of a Variable Cross-Section Cantilever Beam with a Liquid on Its Side[J].Journal of Hohai University (Natural Sciences ),1990(4). |
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| Authors: | Li Tingsheng Yin Shinong |
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| Abstract: | This paper presents a method of solution for the problem of free vibration of a variable section cantilever beam with a liquid on its side. The approximate calcuation formulae of the mode function and frequency are obtained by means of the stationary value condition of energy of the vibration system of the beam and block-pulse functions. Through simplification of these formulae, the approximate calculation formulae of the mode function and frequency are obtained for constant cross-section cantilever beam. |
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| Keywords: | variable cross-section cantilever beam free vibration block-pulse function approximation solution |
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