Effect of rotationally restrained and Pasternak foundation on buckling of an orthotropic rectangular Mindlin plate

Nazarimofrad, Ebrahim; Zahrai, Seyed Mehdi; Kholerdi, Seyed Ebrahim Sadat

doi:10.1080/15376494.2017.1285461

Cited by 8 publications

(2 citation statements)

References 13 publications

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“…The classical purely elastic foundation can be expressed by the one-parameter Winkler model. This can be generalized with two parameters to include the shear modulus of the foundation, leading to the elastic Pasternak foundation (Nazarimofrad et al 2018). Bahmyari et al (2013) investigated the free transverse vibration of thin plates with elastic Winkler and Pasternak foundations, for different possible classical boundary conditions, using the meshless Galerkin's method.…”

Section: Introductionmentioning

confidence: 99%

On the transient response of plates on fractionally damped viscoelastic foundation

Praharaj

Datta

2020

Comp. Appl. Math.

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This work underlines the importance of the application of fractional-order derivative damping model in the modelling of the viscoelastic foundation, by demonstrating the effect of various orders of the fractional derivative on the dynamic response of plates resting on the viscoelastic foundation, subjected to concentrated step load. The foundation of the plate is modelled as a fractionally-damped Kelvin-Voigt model. Modal superposition method and Triangular strip matrix approach are used to solve the partial fractional differential equations of motion. The influence of (a) fractional-order derivative, (b) foundation stiffness, and (c) foundation damping viscosity parameter on the dynamic response of the plate are investigated. Theoretical results show that with the increase in the order of derivative, the damping of the system increases, which leads to decreased dynamic response. The results obtained from the fractional-order damping model and integer-order damping model are compared. The results are verified with literature and numerical results (ANSYS).

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Section: Introductionmentioning

confidence: 99%

On the transient response of plates on fractionally damped viscoelastic foundation

Praharaj

Datta

2020

Comp. Appl. Math.

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“…The model is broadly utilized to illustrate the mechanical behavior of structure-foundation interactions. Nazarimofrad et al [18,19] presented the buckling analysis of an orthotropic rectangular Mindlin plate resting on an elastic Pasternak foundation. They utilized Rayleigh-Ritz method to solve the governing equations based on the Mindlin-Reissner plate theory.…”

Section: Introductionmentioning

confidence: 99%

The effect of buckling and post-buckling behavior of laminated composite plates with rotationally restrained and Pasternak foundation on stacking sequence optimization

2020

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This paper presents a stacking sequence optimization for maximizing the buckling load of rotationally restrained laminated composite rectangular plates with different boundary conditions resting on an elastic Pasternak foundation subjected to uniaxial and biaxial in-plane static loads. The Mindlin Plate Theory (MPT), which considers the first-order shear deformation effect, is used to extract the characteristic equations of the plates under in-plane loading, including platefoundation interaction. The buckling problem of the laminated plates is analyzed by the Rayleigh-Ritz method. The aim of optimization is to maximize the buckling load and post-buckling load capacity by using the Genetic Algorithm (GA) method, and the design variable is the ply orientation. The results showed that the optimal orientation, θ, of the laminated square plate under biaxial in-plane loading with various conditions is 45° approximately. The existence of a foundation, clamped boundary conditions, and high aspect ratio lead to increase the optimal orientation.

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New analytic buckling solutions of moderately thick clamped rectangular plates by a straightforward finite integral transform method

et al. 2019

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Effect of rotationally restrained and Pasternak foundation on buckling of an orthotropic rectangular Mindlin plate

Cited by 8 publications

References 13 publications

On the transient response of plates on fractionally damped viscoelastic foundation

On the transient response of plates on fractionally damped viscoelastic foundation

The effect of buckling and post-buckling behavior of laminated composite plates with rotationally restrained and Pasternak foundation on stacking sequence optimization

New analytic buckling solutions of moderately thick clamped rectangular plates by a straightforward finite integral transform method

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