Buckling Analysis of Open Cylindrical Shells by the Moving Least Square Method

• Main Authors: Rung-ShiangLin, 林榮相
• Other Authors: Yung-Ming Wang
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/89076951283510571804

碩士 === 國立成功大學 === 土木工程學系碩博士班 === 100 === In this paper, we use the moving least squares method to analyze the buckling of an opened cylindrical shell. By express the governing equation and the boundary conditions in terms of nodal displacements and use the moving least squares technique to minimize the residuals that results from the approximation to the field variable as well as that from approximation to the governing equations and the boundary conditions, a global approximation function can be obtained, and a discrete eigenvalue problem can be established. Thus the eigenvalues and corresponding eigenvectors can be determined, which is the buckling load and the corresponding buckling mode. Based on Flügge’s theory of shell, in this paper we include the shear deformation effect to derive the buckling equations of an opened cylindrical shell and obtained some analytical solutions for a simply supported open cylindrical shell under the axial and lateral confining pressure, and compares the result with the numerical solution. The calculation accuracy for the open cylindrical shell has great relations with the radius of curvature, the length-to-width ratio, and the thickness-to-width ratio of the structure. The results show that there are better results for the case with large radius of curvature, and the greater the thickness-to-width ratio of the cylindrical shell is, the better the accuracy will be.