Vibration and buckling of rectangular plates under in-plane hydrostatic loading

Kielb, Robert E.; Han, L. S.

doi:10.1016/0022-460x(80)90323-5

Cited by 11 publications

(5 citation statements)

References 10 publications

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“…Some researchers have also analyzed both the buckling and vibration of rectangular plates subjected to in-plane stress field (Kang and Leissa, 2001;Leissa and Kang, 2002;Dickinson, 1972, 1978;Dickinson, 1978;Kielb and Han, 1980;Kaldas and Dickinson, 1981). Bifurcation buckling may be regarded as a special case of the vibration problem; that is, determining the in-plane stresses which cause vibration frequencies to reduce to zero.…”

Section: Introductionmentioning

confidence: 98%

Exact solutions for the buckling of rectangular plates having linearly varying in-plane loading on two opposite simply supported edges

Kang

Leissa

2005

International Journal of Solids and Structures

123

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Section: Introductionmentioning

confidence: 98%

Exact solutions for the buckling of rectangular plates having linearly varying in-plane loading on two opposite simply supported edges

Kang

Leissa

2005

International Journal of Solids and Structures

123

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“…In-plane boundary conditions must also be carefully considered [20,21]. In-plane boundary conditions must also be carefully considered [20,21].…”

Section: Moderately Large Deflectionsmentioning

confidence: 99%

Plates

Virgin¹

2007

Vibration of Axially-Loaded Structures

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“…In the early works, the vibration and buckling performances of rectangular plates loaded by in-plane hydrostatic forces for a wide variety of aspect ratios, boundary conditions, and loading magnitudes have been analyzed by numerical technology [4]. The solutions of the differential equations of the buckling Mindlin plate are obtained in discrete forms by applying numerical integrations [5].…”

Section: Introductionmentioning

confidence: 99%

Semi-Analytical Finite Strip Transfer Matrix Method for Buckling Analysis of Rectangular Thin Plates

Yao

Zhou

2015

Mathematical Problems in Engineering

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Plates and shells are main components of modern engineering structures, whose buckling analysis has been focused by researchers. In this investigation, rectangular thin plates with loaded edges simply supported can be discretized by semi-analytical finite strip technology. Then the control equations of the strip elements of the buckling plate will be rewritten as the transfer equations by transfer matrix method. A new approach, namely semi-analytical Finite Strip Transfer Matrix Method, is developed for the buckling analysis of plates. This method requires no global stiffness matrix of the system, reduces the system matrix order, and improves the computational efficiency. Comparing with some theoretical results and FEM’s results of two illustrations (the plates and the ribbed plates) under six boundary conditions, the method is proved to be reliable and effective.

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Vibration and buckling of rectangular plates under in-plane hydrostatic loading

Cited by 11 publications

References 10 publications

Exact solutions for the buckling of rectangular plates having linearly varying in-plane loading on two opposite simply supported edges

Exact solutions for the buckling of rectangular plates having linearly varying in-plane loading on two opposite simply supported edges

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Semi-Analytical Finite Strip Transfer Matrix Method for Buckling Analysis of Rectangular Thin Plates

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