卢文达, 李龙元. 具有离散弹性支承结构的自由振动分析及其它的简化模型修正[J]. 工程力学, 1987, 4(2): 7-17.
引用本文: 卢文达, 李龙元. 具有离散弹性支承结构的自由振动分析及其它的简化模型修正[J]. 工程力学, 1987, 4(2): 7-17.
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Lu Wenda, Li Longyuan. Analysis of Free Vibration of Structures With Discrete Elastic Supported and Modifying of its Simplification Mode[J]. Engineering Mechanics, 1987, 4(2): 7-17.
Citation: Lu Wenda, Li Longyuan. Analysis of Free Vibration of Structures With Discrete Elastic Supported and Modifying of its Simplification Mode[J]. Engineering Mechanics, 1987, 4(2): 7-17.
shu

具有离散弹性支承结构的自由振动分析及其它的简化模型修正

Analysis of Free Vibration of Structures With Discrete Elastic Supported and Modifying of its Simplification Mode

    摘要
  • 摘要: 本文对目前工程中的具有离散弹性支承结构的自由振动问题(例如,火车轨道、桥梁、离散柱支承双曲冷却塔等)作了较详细的分析讨论。在文中:1.指出了采用等效刚度的简化连续弹性支承模型在分析动力问题中可能产生的一种不合理性。2.对具有离散弹性支承的连续梁、圆环梁,文中采用普通的三角级数求和约定式,得到了这二种结构的固有频率的计算显式。3.在采用等效刚度简化中,文中引用能量渐近原理,给出了计算固有频率的一个修正公式,从而改进了人们以前所采用的简化模型公式。

     

    Abstract: In this paper,the free vibration problems of structures with discrete elastic supported are analysed,and it is pointed out that unadvisability of using eguivalent rigid simplification mode,by analysing the continuous beam and circular ring beam both with biscrete elastic supported.Finally,a renew calculating simplification mode is suggested by modefying the equivalent rigid simplification mode.

     

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