黄玉盈. 变截面圆拱的稳定与振动[J]. 工程力学, 1985, 2(3): 1-11.
引用本文: 黄玉盈. 变截面圆拱的稳定与振动[J]. 工程力学, 1985, 2(3): 1-11.
Huang Yuyin. STABILITY AND VIBRATION OF CIRCULAR ARCHES WITH VARIABLEC CROSS-SECTION[J]. Engineering Mechanics, 1985, 2(3): 1-11.
Citation: Huang Yuyin. STABILITY AND VIBRATION OF CIRCULAR ARCHES WITH VARIABLEC CROSS-SECTION[J]. Engineering Mechanics, 1985, 2(3): 1-11.

变截面圆拱的稳定与振动

STABILITY AND VIBRATION OF CIRCULAR ARCHES WITH VARIABLEC CROSS-SECTION

  • 摘要: 分析变截面圆拱在法向压力作用下的稳定性和自由振动,相当于求一类常微分方程的特征值问题。本文提出了求解这类特征值问题的一个简捷方法。不管阶梯圆拱由多少块弧段所组成,特征方程的系数矩阵总可以化为三阶,计算比较方便。

     

    Abstract: The Problems for analyzing vibration and stability of circular arches with variable cross-section are equivalent to the one of determination of eigenvalue for differential equation with particular type.A convenient method for solving problems of the kind is presented in this paper.The coefficient matrix of the characteristic equ ation is reduced to third order in calcuation no matter how many elements discretized.

     

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