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轴向变形对拱自振频率影响的样条有限点法

, PP. 41-46

Keywords: ,样条有限点法,轴向变形,自振频率

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Abstract:

提出用样条有限点法计算拱的横向振动和纵向振动的最小频率。用3次B样条函数的线性组合模拟拱自振时的位移振型函数,根据Hamilton原理推导出了拱结构自由振动频率方程。通过实例验证了样条有限点法计算效率高、精度高、计算格式简单,较有限元法具有很大优越性。计算分析了轴向变形对横向振动最小频率的影响,提出了临界矢跨比的概念。考虑轴向变形时不仅频率系数的大小发生了变化,同时它的变化规律也与原来不同。当结构的矢跨比小于临界矢跨比时,横向振动最小频率较不计轴向变形时减小,随着矢跨比的增大逐渐增大;当结构的矢跨比大于临界矢跨比时,横向振动最小频率较不计轴向变形时增大,随着矢跨比的增大逐渐减小。由此给出了目前广泛使用的横向振动最小频率曲线的适用范围,同时建立了纵向振动频率计算用曲线。

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