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有限长圆柱壳中轴对称弹性瞬态波
引用本文:滕宁钧,苏先樾,王仁.有限长圆柱壳中轴对称弹性瞬态波[J].力学学报,1992,24(6):680-690.
作者姓名:滕宁钧  苏先樾  王仁
作者单位:中科院力学所非线性连续介质力学开放实验室
基金项目:中科院力学所LNM开放实验室资助
摘    要:有限长的计及剪切变形和转动惯性的弹性圆柱壳的轴对称运动方程经过Laplace变换后转化为一组相空间中的方程。对该方程组作了一些适当的处理后,应用广义射线法,得到了相空间中位移和内力的射线法表达式。采用快速Fourier变换作Laplacl逆变换,即可得到圆柱壳受轴对称冲击载荷时的弹性瞬态波解。

关 键 词:瞬态波  圆柱壳  广义射线法

TRANSIENT AXISYMMETRIC ELASTIC WAVES IN FINITE CIRCULAR CYLINDRICAL SHELLS
Teng Ningjun,Su Xianyue,Wang Ren.TRANSIENT AXISYMMETRIC ELASTIC WAVES IN FINITE CIRCULAR CYLINDRICAL SHELLS[J].chinese journal of theoretical and applied mechanics,1992,24(6):680-690.
Authors:Teng Ningjun  Su Xianyue  Wang Ren
Abstract:In this paper, the equations of motion governing the axisymmetric elastic deformation of finite circular cylindrical shells, including the effect of transverse shear and rotational inertia, are considered. By applying Generalized Ray Method, the ray formulus of the displacements and the internal resultant forces of the shell in the phase space are derived, then the solutions of transient elastic waves in the finite cylindrical shell subjected to the axisymmetric impact are obtained numerically by using FFT.
Keywords:transient wave  cylindrical shell  generalized ray theory
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