Buckling of Skew Plates with Continuity or Rotational Edge Restraint

Huyton, Paul; York, Christopher

doi:10.1061/(asce)0893-1321(2001)14:3(92)

Cited by 25 publications

(3 citation statements)

References 18 publications

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“…Wang [12] used the B-spline Rayleigh-Ritz method for buckling analysis of skew fibre-reinforced composite laminates based on a first-order shear deformation plate theory. Huyton and York [13] studied buckling of skew plates with continuity or rotational edge restraint. Wang et al [14] performed buckling analyses of anisotropic plats and isotropic skew plates using the differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Buckling and Postbuckling Analyses of a Skew Plate

Liao

Huang

2008

J. mech.

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The applications of skew plates in the construction of aerospace structures are well known. The critical buckling load and post-buckling strength are two important design parameters of skew composite laminates. In this study, the refined buckling and nonlinear postbuckling solutions of a homogenous isotropic skew plate based on polynomial expansions of various degrees have been examined. Numerical results based on high-order Rayleigh-Ritz solutions are presented for certain type of oblique plates.

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Section: Introductionmentioning

confidence: 99%

Buckling and Postbuckling Analyses of a Skew Plate

Liao

Huang

2008

J. mech.

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“…Buckling analysis of skew plate of isotropic material with continuous or rotational edgewise constraints has been investigated under unidirectional pressure load in Huyton and York. 3 Bending free vibrations with the large amplitude of the skew plate made of composite material has been studied in Singha and Ganapathi. 4 Analysis of nonlinear bending free vibrations of rectangular and skew plates under environmental conditions has been investigated by considering the uniform distribution of temperature on the surface and its variation along the thickness of the plate based on von-Karman equations in Sundararajan et al 5 In Dey and Singha, 6 the dynamic stability analysis of the composite skew plate has been examined under an alternating in-plane load.…”

Section: Introductionmentioning

confidence: 99%

Bending deflection and stress analyses in a thin functionally graded material skew plate with different boundary conditions on the Winkler–Pasternak elastic foundation and under combined in-plane and uniform lateral loads using the extended Kantorovich method

Mamandi

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, bending deflection and stress analyses have been conducted for a thin skew plate made of functionally graded material (FGM) with different boundary conditions on the Winkler–Pasternak elastic foundation and under combined loads including uniform transverse load, normal and shear in-plane forces, and planar body forces. The Cartesian partial differential equation governing the bending deflection of the skew plate has been converted into a partial differential equation in oblique coordinates using the conversion relations. Then, by employing the variational principle and residual weighted Galerkin method and using the Extended Kantorovich Method (EKM), the equation has been converted to a set of linear differential equations in terms of two functions in the longitudinal and transverse directions of the oblique plate, and afterward, the equation has been solved using the iterative solution method. Different boundary conditions in a combined form of simply and clamped supports have been investigated and their effects on bending deflection and generated in-plane normal and shear stresses are discussed.

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“…10–12 investigated the elastic buckling behavior of thick skew plates by using Ritz method. Huyton and York 13 studied the buckling of skew plate by applying classical plate theory. York, 14 Wang et al., 15 and Wu et al.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear elastic/plastic buckling analysis of thick/thin skew plates under uniaxial and biaxial loading

Maarefdoust

Kadkhodayan

2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, elastic/plastic buckling analysis of thick skew plates subjected to uniaxial compression or biaxial compression/tension loading using the generalized differential quadrature method is presented for the first time. The governing differential equations are derived based on the incremental and deformation theories of plasticity and first-order shear deformation theory. The elastic/plastic behavior of the plates is described by the Ramberg–Osgood model. Generalized differential quadrature discretization rules in association with an exact coordinate transformation are simultaneously used to transform and discretize the equilibrium equations and the related boundary conditions. The results are compared with the previously published data to verify the established methodology and procedures. The effect of skew angle and thickness ratio on the convergence and accuracy of the method are studied. Moreover, the effects of aspect, loading and thickness ratios, skew angle, incremental, and deformation theories and different types of boundary conditions on the buckling coefficients are presented in detail. The results show that the difference between the incremental and deformation theories becomes greater with increasing thickness ratio and constraints at boundary conditions. Furthermore, the skew angle also has an important effect on differences between those theories.

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Buckling of Skew Plates with Continuity or Rotational Edge Restraint

Cited by 25 publications

References 18 publications

Buckling and Postbuckling Analyses of a Skew Plate

Buckling and Postbuckling Analyses of a Skew Plate

Bending deflection and stress analyses in a thin functionally graded material skew plate with different boundary conditions on the Winkler–Pasternak elastic foundation and under combined in-plane and uniform lateral loads using the extended Kantorovich method

Nonlinear elastic/plastic buckling analysis of thick/thin skew plates under uniaxial and biaxial loading

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