Static Analysis of Thin Rectangular Plate Resting on Pasternak Foundation

To consider the deformation of thin rectangular plate under temperature. In this paper, the wavelet multi-scale method was used to solve the thin plate governing differential equations with four different initial or boundary conditions. An operational matrix of integration based on the wavelet was established and the procedure for applying the matrix to solve the differential equations was formulated, and got the deflection of thin rectangular plates under temperature. The result provides a theoretical reference for solving thin rectangular plate deflection in thermal environment using multi-scale approach.

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Uniformly loaded, simply supported, antisymmetrically laminated, rectangular plate on a winkler-pasternak foundation

International Journal of Solids and Structures ◽

10.1016/0020-7683(77)90038-5 ◽

1977 ◽

Vol 13 (5) ◽

pp. 437-444 ◽

Cited By ~ 10

Author(s):

G.J. Turvey

Keyword(s):

Rectangular Plate ◽

Pasternak Foundation ◽

Simply Supported

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Strain‐based displacement field reconstruction method for thin rectangular plate through orthogonal deflection curves bridging

Structural Control and Health Monitoring ◽

10.1002/stc.2457 ◽

2019 ◽

Vol 27 (1) ◽

Author(s):

Zhicong Luo ◽

Jian Li ◽

Guangyang Hong ◽

Hongying Li

Keyword(s):

Rectangular Plate ◽

Displacement Field ◽

Reconstruction Method ◽

Thin Rectangular Plate ◽

Field Reconstruction

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Forced Flexural Vibrations in a Thin Nonlocal Rectangular Plate with Kirchhoff’s Thin Plate Theory

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455420501072 ◽

2020 ◽

Vol 20 (09) ◽

pp. 2050107

Author(s):

Iqbal Kaur ◽

Parveen Lata ◽

Kulvinder Singh

Keyword(s):

Rectangular Plate ◽

Thin Plate ◽

Plate Theory ◽

Nonlocal Parameter ◽

Generalized Thermoelasticity ◽

Transversely Isotropic ◽

Small Scale ◽

Concentrated Load ◽

Thin Rectangular Plate ◽

Flexural Vibrations

This study deals with a novel model of forced flexural vibrations in a transversely isotropic thermoelastic thin rectangular plate (TRP) due to time harmonic concentrated load. The mathematical model is prepared for the thin plate in a closed form with the application of Kirchhoff’s love plate theory for nonlocal generalized thermoelasticity with Green–Naghdi (GN)-III theory of thermoelasticity. The nonlocal thin plate has a nonlocal parameter to depict small-scale effect. The double finite Fourier transform technique has been used to find the expressions for lateral deflection, thermal moment and temperature distribution for simply supported (SS) thin rectangular plate in the transformed domain. The effect of classical thermoelasticity (CTE) theory of thermoelasticity and nonlocal parameters has been shown on the computed quantities. Few particular cases have also been deduced.

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Investigation into Dynamic Postbuckling of Thin Rectangular Plate under Elastic Compression Wave

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.477-478.165 ◽

2013 ◽

Vol 477-478 ◽

pp. 165-169

Author(s):

Da Wei Han ◽

An Wen Wang ◽

Liu Wei Mao ◽

Gang Li

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Rectangular Plate ◽

Difference Method ◽

Compression Wave ◽

Initial Conditions ◽

Equilibrium Equations ◽

Thin Rectangular Plate ◽

Elastic Compression ◽

The Finite Difference Method

The initial buckling displacements are taken as initial conditions to solve the dynamic postbuckling problem. Non-dimensional dynamic postbuckling equilibrium equations denoted by the displacements are derived and solved by use of the finite difference method. The results reveal the regulation that the dynamic postbuckling deformation develops from the initial low step mode to the subsequent higher step modes under elastic compression wave.

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