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Vibration analysis of twisted plates using first order shear deformation theory
Journal of Sound and Vibration, 2004Abstract 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. An equation of equilibrium for free vibration is given by the principle of virtual work and the governing equation is solved by using the Rayleigh ...
X.X. Hu +4 more
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Peridynamic Analysis of Laminated Composite Plates Based on First-Order Shear Deformation Theory
International Journal of Applied Mechanics, 2020A nonlocal Peridynamic Differential Operator (PDDO) is presented for static analysis of laminated composite plates based on the First-order Shear Deformation Theory (FSDT). The equilibrium equations and boundary conditions of the FSDT were derived from the principle of virtual work.
Dorduncu M., Kaya K., Ergin O.F.
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A New First-Order Shear Deformation Theory for Free Vibrations of Rectangular Plate
International Journal of Applied Mechanics, 2015A new first-order shear deformation theory (FSDT) with pure bending deflection and shearing deflection as two independent variables is presented in this paper for free vibrations of rectangular plate. In this two-variable theory, the shearing deflection is regarded as the only fundamental variable by which the total deflection and bending deflection ...
Wei Xiang, Yufeng Xing
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Crack Initiation Process of DCB Specimens Based on First-order Shear Deformation Theory
Journal of Reinforced Plastics and Composites, 2009The current work develops an analytical model which can consider the crack initiation process of double cantilever beam (DCB) specimens. The current model is based on the first-order shear deformation beam theory, and thus includes the effect of shear deformation in the beams on the crack initiation process.
null Zhenyu Ouyang +4 more
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Analysis of functionally graded beam using a new first-order shear deformation theory
Structural Engineering and Mechanics, 2016A new first-order shear deformation theory is developed for dynamic behavior of functionally graded beams. The equations governing the axial and transverse deformations of functionally graded plates are derived based on the present first-order shear deformation plate theory.
Lazreg Hadji +4 more
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Computers & Structures, 2011
Dynamic stiffness elements for plates are developed using first order shear deformation theory to carry out exact free vibration analysis of plate assemblies. The analysis has been facilitated by the application of Hamiltonian mechanics and symbolic computation. The Wittrick-Williams algorithm has been used as the solution technique.
M. Boscolo, J.R. Banerjee
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Dynamic stiffness elements for plates are developed using first order shear deformation theory to carry out exact free vibration analysis of plate assemblies. The analysis has been facilitated by the application of Hamiltonian mechanics and symbolic computation. The Wittrick-Williams algorithm has been used as the solution technique.
M. Boscolo, J.R. Banerjee
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Reconstruction of First-Order Shear Deformation Shell Theory for Laminated and Sandwich Shells
AIAA Journal, 2004A first-order shear deformation shell theory (FSDT), based on general curvilinear coordinates, has been reconstructed through a strain energy transformation. Based on the definition of the mean displacements, the transverse shear strains that are constant through the thickness are improved to vary through the thickness.
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