Free and forced vibration of cross-ply laminated composite shallow arches
Free and forced vibration of cross-ply laminated composite shallow arches
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DOI：
10.1016/s0020-7683(96)00095-9
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发表时间：
1997-04
影响因子：
3.6
通讯作者：
A. A. Khdeir-A.;J. Reddy
中科院分区：
文献类型：
--
作者：
A. A. Khdeir-A.;J. Reddy
从扁壳理论出发，建立了复合材料层合扁拱的动力分析模型。推导了薄拱、中厚拱和厚拱的线性运动方程。探讨了拱的自由振动，并确定了各种边界条件下的三阶、二阶、一阶和经典拱理论的精确固有频率。本文提出了一种求解任意边界条件和任意荷载作用下正交铺设层合拱动力响应的广义模态法。泊松效应和转动惯量被纳入制定的拱本构方程，在分析方法和数值结果。
A model for the dynamic behavior of a laminated composite shallow arch is developed from shallow shell theory. Linear equations of motion are derived for thin, moderately thick and thick arches. Free vibration of the arch is explored and exact natural frequencies of the third-order, second-order, first-order and classical arch theories are determined for various boundary conditions. A generalized modal approach is presented to solve the dynamic response of cross-ply laminated arches with arbitrary boundary conditions and for arbitrary loadings. The Poisson effect and rotary inertia are incorporated in the formulation of the arch constitutive equation, in the analytical approaches and in the numerical results.