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A geometrically nonlinear theory of right helicoidal shells
This paper is concerned with a geometrically nonlinear theory of right helicoidal shells for large deflections and finite strains. On the basis of the equilibrium equations after deformation in a curvilinear coordinate system, the principle of virtual work for a three-dimensional elastic contuum is derived with the aid of the Kirchhoff stress tensors and the Green strain tensors. By expanding displacement components into power series in the normal direction to the undeformed middle surface of shells, the fundamental equations of shells, are obtained from the variational principle without making use of the Kirchhoff-Love hypothesis. The linearized froms of several of the seits of fundamental equations derived herein coincide with the equations of small deflection theories in the existing literature. As particular case, the fundamental equations derived in this paper reduce to those of the sector plate when the pitch of the shells vanishes. (DePo)
A geometrically nonlinear theory of right helicoidal shells
This paper is concerned with a geometrically nonlinear theory of right helicoidal shells for large deflections and finite strains. On the basis of the equilibrium equations after deformation in a curvilinear coordinate system, the principle of virtual work for a three-dimensional elastic contuum is derived with the aid of the Kirchhoff stress tensors and the Green strain tensors. By expanding displacement components into power series in the normal direction to the undeformed middle surface of shells, the fundamental equations of shells, are obtained from the variational principle without making use of the Kirchhoff-Love hypothesis. The linearized froms of several of the seits of fundamental equations derived herein coincide with the equations of small deflection theories in the existing literature. As particular case, the fundamental equations derived in this paper reduce to those of the sector plate when the pitch of the shells vanishes. (DePo)
A geometrically nonlinear theory of right helicoidal shells
Eine geometrisch nichtlineare Theorie fuer schraubenfoermige Gehaeuse
Hirashima, M. (author) / Jura, M. (author)
1977
13 Seiten, 1 Bild, 10 Quellen
Conference paper
English
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