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测定稳定临界力的振动法
引用本文:鹿振友,彭如海.测定稳定临界力的振动法[J].北京林业大学学报,1992,14(4):104-110.
作者姓名:鹿振友  彭如海
作者单位:北京林业大学森林工业系 (鹿振友),衡阳工学院基础部(彭如海)
摘    要:本文推证了压杆稳定的动力准则,并推广到梁板等结构.得到轴向受压构件横向自由振动一阶固有频率的平方与轴向压力成线性关系,而构件稳定临界力对应于固有频率为零的特例.从而,可根据轴向受压构件一阶固有频率值推算出其稳定临界力,这种测试稳定临界力的方法称振动法.

关 键 词:临界力  固有频率  稳定动力准则  振动法

Vibrating Method for the Determination of Euler's Critical Load
Lu Zhenyou Peng Ruhai.Vibrating Method for the Determination of Euler''''s Critical Load[J].Journal of Beijing Forestry University,1992,14(4):104-110.
Authors:Lu Zhenyou Peng Ruhai
Abstract:In this paper, the dynamic criterion for compression columns proved and was extended to beam and plate structures. The square of the first-order natural frequency for transversal free vibration of longitudinal compression components corresponds to the zero natural frequency, thus obtaining the critical load through the value of the first-order natural frequency of longitudinal compression components. This method for determinating the critical load is called the vibrating method.
Keywords:critical force  natural frequency  dynamic criterion of stability  vibrating method  
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