袁镒吾, 李志坚. 变截面直杆纵向自由振动的一种解法[J]. 工程力学, 1996, 13(3): 105-113.
引用本文: 袁镒吾, 李志坚. 变截面直杆纵向自由振动的一种解法[J]. 工程力学, 1996, 13(3): 105-113.
Yuan Yiwu, Li Zhijian. A METHOD FOR SOLVING THE PROBLEM OF LONGITUDINAL FREE VIBRATION OF A BAR WITH VARIABLE CROSS SECTION[J]. Engineering Mechanics, 1996, 13(3): 105-113.
Citation: Yuan Yiwu, Li Zhijian. A METHOD FOR SOLVING THE PROBLEM OF LONGITUDINAL FREE VIBRATION OF A BAR WITH VARIABLE CROSS SECTION[J]. Engineering Mechanics, 1996, 13(3): 105-113.

变截面直杆纵向自由振动的一种解法

A METHOD FOR SOLVING THE PROBLEM OF LONGITUDINAL FREE VIBRATION OF A BAR WITH VARIABLE CROSS SECTION

  • 摘要: 本文根据均质变截面直杆的纵振与等截面直梁的弯曲问题的一些相似性质,把求变截面直杆纵振函数变为求梁弯曲时的截面上的弯矩问题。对应于杆的横截面面积的某些变化规律,得到了求杆的纵振函数及固有频率的计算公式。

     

    Abstract: In this paper, using the similarity between the longitudinal free vibration of a bar with variable cross section and the beam bending the longitudinal vibration function is obtained from the moment on the cross section of the bending beam. For some specified variation of cross section area of the bar, the formulae for calculating the frequency of the longitu-dinal vibration of the bar are proposed.

     

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