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Laminated composite open profile sections: first order shear deformation theory
Composite Structures, 1999This paper presents a Vlasov type modified first order shear deformation theory to analyze the dynamic response of open-profile sections made of laminated composite materials. A variational mathematical approach is adopted to derive all the necessary field equations in two dimensions for sections subjected to non-uniform torsion.
Suresh S. Maddur, Shive K. Chaturvedi
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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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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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Dynamic Stiffness Formulation for Plates Using First Order Shear Deformation Theory
51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference<BR> 18th AIAA/ASME/AHS Adaptive Structures Conference<BR> 12th, 2010The dynamic stiffness method for plates is developed to carry out an exact free vibration analysis by using both classical theory and first order shear deformation theory. Hamiltonian mechanics is used to provide a systematic general procedure for the development of the method.
Marco Boscolo, Ranjan Banerjee
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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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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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Random vibrations of laminated plates modeled within the first order shear deformation theory
Composite Structures, 1989This paper deals with the dynamic response of anisotropic laminated composite plates to stationary random excitation. The theory of laminated plates used here includes shear deformation and rotary inertia effects in the same manner as Mindlin's theory for isotropic homogeneous plates. Two cases of random pressure fields are considered in this analysis.
G. Cederbaum, I. Elishakoff, L. Librescu
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THERMAL BUCKLING OF CLAMPED CYLINDRICAL PANELS BASED ON FIRST-ORDER SHEAR DEFORMATION THEORY
International Journal of Structural Stability and Dynamics, 2004Based on the first-order shear deformation shell theory, an analytical approach is developed to predict the thermal buckling response of an all-edge clamped cylindrical panel. The analytical approach adopts a double Fourier solution method suitable for cylindrical panels.
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