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FREE VIBRATIONS OF LAMINATED COMPOSITE NON-CIRCULAR THICK CYLINDRICAL SHELLS

机译:层状复合非圆形厚圆柱壳的自由振动

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摘要

An exact solution procedure is presented for analyzing free vibrations of laminated composite, noncircular thick cylindrical shells. Based on the thick lamination theory considering the shear deformation and rotary inertia, equations of motion and boundary conditions are obtained from the stationary conditions of the Lagrangian (Hamilton's principle). The equations of motion are solved exactly by using power series expansions for the displacements and rotations of symmetrically laminated, cross-ply shells having both ends freely supported. Frequencies are presented for a set of elliptical cylindrical shells having various laminae stacking sequences. The effects of shear deformation and rotary inertia are discussed by comparing the results from the present theory with those from the classical laminated shell theory (thin laminated shell theory). Copyright (C) 1996 Elsevier Science Ltd [References: 15]
机译:提出了一种精确的求解程序,用于分析层压复合材料,非圆形厚圆柱壳的自由振动。基于考虑了剪切变形和旋转惯性的厚层压理论,从拉格朗日定律(汉密尔顿原理)得出了运动方程和边界条件方程。通过将幂级数展开用于两端自由支撑的对称层压交叉层壳的位移和旋转,可以精确地求解运动方程。给出了一组具有各种薄片堆叠顺序的椭圆形圆柱壳的频率。通过将本理论的结果与经典层合壳理论(薄层合壳理论)的结果进行比较,讨论了剪切变形和旋转惯性的影响。版权所有(C)1996 Elsevier Science Ltd [参考:15]

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