Nonlinear equations of equilibrium for the titled shell of rectangular planform under transverse and inplane edge loads are derived by using the virtual work principle and expressed in terms of a stress function,the t...Nonlinear equations of equilibrium for the titled shell of rectangular planform under transverse and inplane edge loads are derived by using the virtual work principle and expressed in terms of a stress function,the transverse displacement and two rotation functions.The sheU is elastically re- strained against rotation.A generalized double Fourier series solution is formulated for nonlinear bending of the shell.The Galerkin technique furnishes an infinite set of simultaneous nonlinear alge- braic equations for the above four variables,which can be truncated to obtain any desired degree of ac- curacy.Numerical results for antisymmetrically laminated angle-ply and cross-ply graphite-epoxy doubly curved panels are presented graphically for the transverse shear effect and various shell parame- ters and boundary conditions.The present results are also compared with available data.展开更多
文摘Nonlinear equations of equilibrium for the titled shell of rectangular planform under transverse and inplane edge loads are derived by using the virtual work principle and expressed in terms of a stress function,the transverse displacement and two rotation functions.The sheU is elastically re- strained against rotation.A generalized double Fourier series solution is formulated for nonlinear bending of the shell.The Galerkin technique furnishes an infinite set of simultaneous nonlinear alge- braic equations for the above four variables,which can be truncated to obtain any desired degree of ac- curacy.Numerical results for antisymmetrically laminated angle-ply and cross-ply graphite-epoxy doubly curved panels are presented graphically for the transverse shear effect and various shell parame- ters and boundary conditions.The present results are also compared with available data.
