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In the present paper, the vibration of a cylindrical piezoelectric transducer induced by applied voltage, which can be used as the stator transducer of a cylindrical micromotor, is studied based on shell theory.
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Attention is focused on the case of cross-ply laminated heterogeneous orthotropic cylindrical shells, from which solution for homogenous and heterogeneous orthotropic monolayer cylindrical shells follows based on classical shell theory (CST) and shear deformation theory (SDT), as a special case.
The present study extends the vibration analysis of toroidal shells based on thin shell theory to the analysis for moderately-thick and thick toroidal shells.
Based on general shell theory and the first order shear deformation theory, an accurate relationship between strains and displacements of a twisted plate is derived by the Green strain tensor.
Based on the shell theory, complex stress in plate is simplified as plane stress.
For linear analysis, we developed a stiffness flexibility matrix method based on thin shell theory that gives the theoretical displacements and stresses at each shell course without any approximation or simplification.
In this paper a theoretical solution for two normally intersecting cylindrical shells subjected to transverse moment on the branch pipe is presented, which based on thin shell theory.
The variable-stiffness composite laminate is formulated using FEM based on Mindlin shell theory.
Theoretical formulations are derived based on Donnell shell theory (DST) and accounting for von-Kármán strain-displacement relation and damping effect.
The governing equations are based on classical shell theory with von Kármán Donnell-type of Kármán Donnell-typeity and including the extensiof–twist, extension–flexural and flexural–twist couplings.
It is shown that the new analytic expression provides significantly improved predictions compared to the formula based on thin shell theory.
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