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Quasi-Green's function method for free vibration of slip clamped shallow spherical shell
Pages: 865-870
Year: Issue:  6
Journal: Journal of Vibration Engineering

Keyword:  clamped shallow spherical shellfree vibrationGreen functionintegral equationR-function;
Abstract: 将准Green函数方法应用于求解夹支任意形状底扁球壳的自由振动问题.即利用问题的基本解和边界方程构造一个准Green函数,这个函数满足了问题的齐次边界条件.采用Green公式将夹支任意形状底扁球壳自由振动问题的振型控制微分方程化为第二类Fredholm积分方程.通过边界方程的适当选择,克服了积分方程核的奇异性.最后通过离散化方程求得数值结果.数值算例表明:该方法具有较高的精度、计算量小、收敛速度快,是一种新型有效的数学方法.
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