円筒シェルの非軸対称曲げ応力問題の三次元理論解析

概要

論文の詳細を見る
This paper deals with a non-axisymmetric bending problem of a closed circular cylindrical shell. The governing equations for three-dimensional linear elastic theory are solved exactly by means of a separation of variables method in cylindrical coordinates. The problem is reduced to finding the characteristic values which satisfy the free surface boundary conditions along the shell surfaces. The solutions corresponding to these characteristic values are combined so that they satisfy completely the constraint conditions across the shell cross section at the longitudinal edges. The present exact solutions are compared with those obtained from shell theories, and it is shown that the shell theory including transverse shear deformations gives sufficiently accurate results even for a thick shell with thickness-to-radius ratio greater than 1/30.
1995-08-30