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Higher-order shear deformation theory for thin-walled composite beams
Journal of Aircraft, 1996A higher-order shear deformation theory for the static and dynamic analysis of thin-walled composite beams of arbitrary lay-ups and cross sections is presented. The method is applicable to beams of open as well as closed cross sections. The formulation includes Euler-Bernoulli and Timoshenko theories as subsets.
J. K. Suresh, V. T. Nagaraj
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Nonlinear Dynamic Bending Analysis of Plates Using a Higher-Order Shear Deformation Theory
Nonlinear Dynamics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khante, Suraj Narendra, Rode, Vijay
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Transverse Vibrations Of Shear-deformable Beams Using A General Higher Order Theory
Journal of Sound and Vibration, 1993A general higher order theory is developed to study the static and vibrational behavior of beam structures having an arbitrary cross section that utilizes both out-of-plane shear-dependent warping and in-plane (anticlastic) deformations. The equations of motion are derived via Hamilton's principle, where the full 3D constitutive relations are used.
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FREE VIBRATION OF FUNCTIONALLY GRADED PLATES WITH A HIGHER-ORDER SHEAR AND NORMAL DEFORMATION THEORY
International Journal of Structural Stability and Dynamics, 2013Free vibration analysis of functionally graded elastic, rectangular, and simply supported (diaphragm) plates is presented based on a higher-order shear and normal deformation theory (HOSNT). Although functionally graded materials (FGMs) are highly heterogeneous in nature, they are generally idealized as continua with mechanical properties changing ...
JHA, DK, KANT, T, SINGH, RK
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Influence of shear correction factors in the higher order shear deformation laminated shell theory
International Journal of Solids and Structures, 1994Abstract A third-order shell theory based on Reddy's parabolic shear strain distribution is presented. Upon applying the Donnell shallow shell approximation, the present theory leads to Reddy's formulation in the case that the laminate has a Euclidean middle surface and constant principal radii of curvatures.
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Higher-order shear deformable theories for flexure of sandwich plates—Finite element evaluations
International Journal of Solids and Structures, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PANDYA, BN, KANT, T
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Smart Materials and Structures, 2007
In this paper geometrically nonlinear analysis of piezolaminated smart composite plates and shells is presented. The degenerated shell element is formulated using total Lagrangian and higher-order shear deformation theory (HOST). von Karman hypothesis is used in the formulation and the finite element equations are derived using energy principles.
KULKARNI, SA, BAJORIA, K
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In this paper geometrically nonlinear analysis of piezolaminated smart composite plates and shells is presented. The degenerated shell element is formulated using total Lagrangian and higher-order shear deformation theory (HOST). von Karman hypothesis is used in the formulation and the finite element equations are derived using energy principles.
KULKARNI, SA, BAJORIA, K
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A refined theory of laminated shells with higher-order transverse shear deformation
International Journal of Solids and Structures, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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FREE VIBRATION RESPONSE OF CYLINDRICAL PANELS WITH HIGHER ORDER SHEAR DEFORMATION THEORY
International Journal of Structural Stability and Dynamics, 2005Presented here is an analytical solution to the free vibration problem of an isotropic cylindrical panel with SS2-type simply supported boundary conditions based on Reddy's third order shear deformation shell theory. Using the principle of virtual work, the Reddy's shell theory generates five highly coupled partial differential equations in terms of ...
HUMAYUN R. H. KABIR, HASAN ASKAR
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A New Higher Order Shear and Normal Deformation Theory for Bending of Thick Beams
2023The objective of this thesis is to introduce a novel higher order shear and normal deformationtheory for analysing the bending behaviour of thick beams. The proposed theory surpasses theaccuracy of existing higher order beam theories by incorporating a fifth order shape function,determined through comprehensive MATLAB simulations.
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