FREE VIBRATION OF NONCIRCULAR CYLINDRICALSHELLS WITH ARBITRARY BOUNDARYCONDITIONS
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摘要: 本文用一种特殊的坐标变换将具有复杂截面形状的柱壳映射成圆柱壳,然后只需对变换后的圆柱壳作振动分析就可获得非圆柱壳在各种边界条件下的固有频率与振型。文中首次系统地给出了椭圆柱壳在各种边界条件下的频率系数,研究了拱预平底截面形状柱壳的自由振动问题。最后讨论了截面形状和边界条件变化对固有频率的影响,并和前人的研究结果作了比较,表明本方法是正确的。Abstract: By a new coordinate transbormation function, the cylindrical shell witharbitrary shaped section can be mapped into a circular cylindrical shell and then the free vibration of the circular cylindrical shell is only investigated with the aid of the characteristic beam vibration functions. Detailed results of applications to oval and U-shaped cylindrical shells are presented. The versatility and accuracy of the method are amply demonstrated through a number of worked examples.
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