科研之友
微信
新浪微博
Facebook
分享链接
摘要
Based on the three-dimensional basic equations of elasticity in cylindrical coordinates, the state space method was used to solve axisymmetric problem of thick single and laminated cylindrical shells with two clamped ends. To satisfy strictly the boundary conditions of the clamped ends, boundary displacement functions introduced into the state equations as state variables, the nonhomogeneous state equations were transformed into the homogeneous state equations by employing the dimensional expanding method, and variable coefficient state matrixes were changed into constant coefficient matrixes with the approximate laminate technique by dividing the layer into sub-layers. The three-dimensional basic equations of elasticity and all the boundary conditions are satisfied strictly, the exact three-dimensional analytical solutions are obtained. The results of two examples show that the present solutions obtained have high precision by comparing with FEM (Finite Element Method) solutions, and have good constringency with the number of series terms and sub-layers. In addition, the influences of thickness-radius ratio and span-radius ratio on the distributions of the displacements and stresses of cylindrical thick shells along the radial and axial directions are analyzed. ? 2022 Xi'an Jiaotong University.
- 单位
