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Stability of orthotropic sandwich shells of revolution under nonaxisymmetric temperature-force loading. (English. Russian original) Zbl 0628.73064

Sov. Appl. Mech. 22, 1155-1160 (1986); translation from Prikl. Mekh., Kiev 22, No. 12, 54-60 (1986).
The stability problem of sandwich shells of revolution subjected to nonaxisymmetric temperature-force loads is solved in this paper. The presence of nonaxisymmetric components of the temperature-force loading complicates the structure stability investigation substantially. A variation of nonlinear thin shell theory in a quadratic approximation is used in this paper for small elongations and shears in the projections on the axes related to the undeformed coordinate surface. We solve the stability problem by the finite element method in the form of the method of displacements. A finite element in the form of a truncated conical shell is used in analyzing the shell structure. The tangential displacement components are approximated by linear polynomials, and the normal component is approximated by a polynomial of third degree.

MSC:

74G60 Bifurcation and buckling
74K15 Membranes
74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
74A15 Thermodynamics in solid mechanics
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References:

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