有限长正交各向异性圆柱壳中瞬态轴对称弹性波的传播

北京大学学报（自然科学版）

有限长正交各向异性圆柱壳中瞬态轴对称弹性波的传播

田家勇,苏先樾

北京大学力学与科学工程系，北京，100871

收稿日期:1999-09-21 出版日期:2000-05-20 发布日期:2000-05-20

Transient Axisymmetric Elastic Waves in Finite Orthotropic Cylindrical Shells

TIAN Jiayong, SU Xianyue

Dept. of Mechanics and Engineering Science, Peking University, Beijing, 100871

Received:1999-09-21 Online:2000-05-20 Published:2000-05-20

摘要/Abstract

摘要： 分析了计及剪切变形和转动惯性的有限长正交异性圆柱壳中弹性瞬态波的传播问题，采用回传矩阵法，在相空间中给出了位移和内力的表达式。再利用Laplace逆变换，得到正交异性圆柱壳受轴对称冲击作用时弹性瞬态波解，然后将其分解为若干广义射线积分之和，并用数值方法求解之。

关键词: 圆柱壳, 瞬态波, 正交各向异性, 回传矩阵法

Abstract: The equations of motion governing the axisymmetric elastic deformation of finite orthotropic cylindrical shells, involving the effect of transverse shear and rotational inertia, are derived. By applying the Reverberation Method, the displacement and the resultant forces of the shell in the phase space are expressed. Then the transient waves in the finite orthotropic cylindrical shell subjected to the axisymmetric impact are obtained by using inverse Laplace transforms. Furthermore, the transient solutions are decomposed to the generalized ray integrals and computed numerically.

Key words: orthotropic cylindrical shell, transient waves, reverberation method

中图分类号:

O347.4

田家勇,苏先樾. 有限长正交各向异性圆柱壳中瞬态轴对称弹性波的传播[J]. 北京大学学报（自然科学版）.

TIAN Jiayong,SU Xianyue. Transient Axisymmetric Elastic Waves in Finite Orthotropic Cylindrical Shells[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

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https://xbna.pku.edu.cn/CN/Y2000/V36/I3/365