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EFFECT OF TRANSVERSE SHEAR ON FINITE DEFORMATION OF GENERALLY LAMINATED SHALLOW SHELL WITH DOUBLE CURVATURE
引用本文:David Shikao Chia. EFFECT OF TRANSVERSE SHEAR ON FINITE DEFORMATION OF GENERALLY LAMINATED SHALLOW SHELL WITH DOUBLE CURVATURE[J]. Acta Mechanica Solida Sinica, 1996, 9(1): 27-41. DOI: 10.1007/BF02208375
作者姓名:David Shikao Chia
作者单位:Ford Motor
摘    要:Nonlinear equations of equilibrium for the titled shell of rectangular planform undertransverse and inplane edge loads are derived by using the virtual work principle and expressed in termsof 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 nonlinearbending 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-epoxydoubly 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.

收稿时间:1995-06-19

EFFECT OF TRANSVERSE SHEAR ON FINITE DEFORMATION OF GENERALLY LAMINATED SHALLOW SHELL WITH DOUBLE CURVATURE
Chuen-yuan Chia. EFFECT OF TRANSVERSE SHEAR ON FINITE DEFORMATION OF GENERALLY LAMINATED SHALLOW SHELL WITH DOUBLE CURVATURE[J]. Acta Mechanica Solida Sinica, 1996, 9(1): 27-41. DOI: 10.1007/BF02208375
Authors:Chuen-yuan Chia
Affiliation:(1) University of Calgary, T2N 1N4 Calgary, Alberta, Canada;(2) Ford Motor Company, 48121 Dearborn, Michigan, USA
Abstract: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.
Keywords:nonlinear bending  transverse shear  doubly curved shaUow shell  laminate
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