| 无任何附加假设的梁的自由振动 |
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| 引用本文： | 范存新,陈家瑾.无任何附加假设的梁的自由振动[J].强度与环境,2001(3):42-50. |
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| 作者姓名： | 范存新 陈家瑾 |
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| 作者单位： | 苏州城建环保学院基础部, |
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| 摘 要： | 本文不采用平面假设来研究梁的弯曲自由振动，也不采用剪切型振动假设研究短粗梁的自由振动，而用弹性力学的位移法导出了梁的自由振动微分方程，并推导了简支梁的自振频率的统一公式，其特殊情况即为有附加假设的自振频率公式。
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| 关 键 词： | 梁 自由振动 微分方程 简支梁 自振频率 弯曲 非附加假设 |
| 文章编号： | 1006-3919(2001)03-0042-09 |
| 修稿时间： | 1999年12月30 |
The Free Vibration of the Beam Without Using Attach Assumptions |
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| FAN Cun,xin,CHEN Jia,jing.The Free Vibration of the Beam Without Using Attach Assumptions[J].Structure & Environment Engineering,2001(3):42-50. |
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| Authors: | FAN Cun xin CHEN Jia jing |
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| Abstract: | This paper have studied the free vibration of the beam without using plane assumption and the shear vibration assumption for shorter beam.It is used the displacement method of the elasticity theory to present the vibration differential equations and this paper present the unite of formula of the free vibration frequency of the simple beam.These are attach assumptions frequency formula can be presented from this unite of the frequency formula when the beam is under the special conditions. |
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| Keywords: | Beam Free vibration Frequency Formula Displacement method Differential equation |
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