Stability of Clamped Skew Plates Under Combined Loads

Ashton, James E.

doi:10.1115/1.3564575

Cited by 20 publications

(11 citation statements)

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“…He solved the elastic buckling problem of simply supported and clamped skew plates under pure shear. Argyris [12], Ashton [13], Durvasula [14,15], Xiang et al [16] and York [17] performed elastic R-shear buckling of skew plates and Hamada [18], Fried and Schmitt [19], Yoshimura and Iwata [20] and Xiang et al [16] studied elastic S-shear buckling of skew plates.…”

Section: Introductionmentioning

confidence: 99%

Elastic/plastic buckling analysis of skew plates under in-plane shear loading with incremental and deformation theories of plasticity by GDQ method

Maarefdoust

Kadkhodayan

2014

J Braz. Soc. Mech. Sci. Eng.

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The present study is concerned with the elastic/ plastic buckling analysis of a skew plate under in-plane shear loading. The governing equations for moderately thick skew plates are analytically derived based on firstorder shear deformation theory, whereas the incremental and deformation theories of plasticity are employed. Two types of shear loads, i.e. rectangular shear (R-shear) and skew shear (S-shear) have been investigated. The buckling coefficient values are significantly affected by the direction of stresses. Since the problem is geometrically and physically nonlinear, the generalized differential quadrature method as an accurate, simple and computationally efficient numerical tool is adopted to discretize the governing equations and the related boundary conditions. Then, a direct iterative method is employed to obtain the buckling coefficients of skew plates. To demonstrate the accuracy of the present analytical solution, a comparison is made with the published experimental and numerical results in literature. The influences of the aspect and thickness ratios, skew angle, incremental and deformation theories and various boundary conditions are examined for R-shear and S-shear buckling coefficients. Finally, some mode shapes of the skew thick plates are illustrated. The present results may serve as benchmark solutions for such plates.

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Section: Introductionmentioning

confidence: 99%

Elastic/plastic buckling analysis of skew plates under in-plane shear loading with incremental and deformation theories of plasticity by GDQ method

Maarefdoust

Kadkhodayan

2014

J Braz. Soc. Mech. Sci. Eng.

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“…Wittrick [4] used the same Rayleigh-Ritz method with the beam eigenfunctions to study the buckling loads of clamped skew plates under uniform shear. Ashton [5] studied the buckling of skew square plates under combined loads using the Rayleigh-Ritz method with beam eigenfunctions. Prabhu and Durvasula [6] also used the Rayleigh-Ritz method to study the stability of a clamped skew plate and the buckling mode was expressed as double beam characteristic functions.…”

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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“…Table 4 summrizes the critical buckling load so obtained as a function of aspect ratio a/b as well as skew angle y. For the sake of comparison, the corresponding results given in reference [2] are also included in the table. [7] are also included in the table for comparison, while for y = 75°, a thorough search of the literature failed to provide results other than for the case F = 0.…”

Section: (C) Skew Platementioning

confidence: 99%

“…These will be taken as the two nodal lines for the element. Since the displacement function w is a function of u, the continuity requirement across the element boundaries is The total potential energy 7r r of the plate element due to the in-plane forces and transverse loading may be expressed in the form [15] -f Jq(x,y)wcm dx / \ dx dy (2) where N x , N y and N xy represent the in-plane forces, q(x, y) is the transverse load per unit area, h denotes the thickness of the plate and {a}, {e} are respectively the generalized stress and strain vectors defined by…”

Section: Theorymentioning

confidence: 99%

“…Although it is now well-recognized that the Finite Element Method is an extremely powerful and versatile tool for solving arbitrary-shaped plate problems, it can suffer certain disadvantages of general nature. Of course, most of these, such as the large amount of programming effort peculiar to the initial implementation stages followed by the tedious task of entering vast quantities of pertinent data, have largely been resolved by the 78 D. Bucco and J. Mazumdar [2 ] development of general Finite Element packages. However, one particular disadvantage inherent in the method is the fact that each element comprises a large number of degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

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Buckling analysis of plates of arbitrary shape

Bucco

Mazumdar

1984

J. Aust. Math. Soc. Series B, Appl. Math

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A simple and efficient numerical technique for the buckling analysis of thin elastic plates of arbitrary shape is proposed. The approach is based upon the combination of the standard Finite Element Method with the constant deflection contour method. Several representative plate problems of irregular boundaries are treated and where possible, the obtained results are validated against corresponding results in the literature.

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Stability of Clamped Skew Plates Under Combined Loads

Cited by 20 publications

References 0 publications

Elastic/plastic buckling analysis of skew plates under in-plane shear loading with incremental and deformation theories of plasticity by GDQ method

Elastic/plastic buckling analysis of skew plates under in-plane shear loading with incremental and deformation theories of plasticity by GDQ method

Buckling and Postbuckling Analyses of a Skew Plate

Buckling analysis of plates of arbitrary shape

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