scholarly journals Elasto-Plastic Response of Impacted Moderatly Thick Rectangular Plates with Different Boundary Conditions

2011 ◽  
Vol 10 ◽  
pp. 1742-1747 ◽  
Author(s):  
Korosh Khorshidi
Keyword(s):  
Boundary Conditions ◽  
Rectangular Plates ◽  
Plastic Response ◽  
Different Boundary Conditions

An exact solution for free vibration of thin functionally graded rectangular plates

2010 ◽  
Vol 225 (3) ◽  
pp. 526-536 ◽  
Author(s):  
A Hasani Baferani ◽  
A R Saidi ◽  
E Jomehzadeh
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Natural Frequencies ◽  
Equations Of Motion ◽  
Vibration Characteristics ◽  
Functionally Graded ◽  
Mode Shapes ◽  
Rectangular Plates ◽  
Functionally Graded Plates ◽  
Different Boundary Conditions

The aim of this article is to find an exact analytical solution for free vibration characteristics of thin functionally graded rectangular plates with different boundary conditions. The governing equations of motion are obtained based on the classical plate theory. Using an analytical method, three partial differential equations of motion are reformulated into two new decoupled equations. Based on the Navier solution, a closed-form solution is presented for natural frequencies of functionally graded simply supported rectangular plates. Then, considering Levy-type solution, natural frequencies of functionally graded plates are presented for various boundary conditions. Three mode shapes of a functionally graded rectangular plate are also presented for different boundary conditions. In addition, the effects of aspect ratio, thickness—length ratio, power law index, and boundary conditions on the vibration characteristics of functionally graded rectangular plates are discussed in details. Finally, it has been shown that the effects of in-plane displacements on natural frequencies of functionally graded plates under different boundary conditions have been studied.

scholarly journals Influence of Boundary Conditions on Sound Radiation Characteristic from Rectangular Plates

2007 ◽  
Vol 26 (2) ◽  
pp. 115-133 ◽  
Author(s):  
Yufeng Qiao ◽  
Qibai Huang ◽  
Linling Li
Keyword(s):  
Boundary Conditions ◽  
Analytical Method ◽  
Numerical Experiments ◽  
Sound Radiation ◽  
Radiation Characteristic ◽  
Transverse Displacement ◽  
Rectangular Plates ◽  
Different Boundary Conditions ◽  
Displacement Response ◽  
Different Types

The influence of boundary conditions on the sound radiation characteristic from rectangular plates is studied in this paper. Using an analytical method, the transverse displacement response of vibrating rectangular plates is presented. Some numerical experiments are also done. Five different types of boundary conditions are analyzed and calculated as examples for comparing the influence of different boundary conditions. Rectangular plates under different force points and different thicknesses are also studied for further verifying the influence of boundary conditions.

Experiments on the Postbuckling Behavior of Square Plates Loaded in Edge Compression

1961 ◽  
Vol 28 (2) ◽  
pp. 238-244 ◽  
Author(s):  
Noboru Yamaki
Keyword(s):  
Boundary Conditions ◽  
Reasonable Agreement ◽  
Numerical Solutions ◽  
Experimental Results ◽  
Initial Deflection ◽  
Rectangular Plates ◽  
Maximum Deflection ◽  
Postbuckling Behavior ◽  
Different Boundary Conditions

In previous papers [1, 2], the postbuckling behavior of rectangular plates under edge compression has been studied theoretically under eight different boundary conditions, and numerical solutions are presented for square plates with and without initial deflection. To compare with these results, experiments were carried out by using aluminum square plates, and the relations of the maximum deflection, stresses, and strains at typical points in the plate with applied loads were determined under four different boundary conditions. It is found that the experimental results are in reasonable agreement with those theoretically predicted.

Nonlinear Vibration of Plates and Higher Order Theory for Different Boundary Conditions

2010 ◽  
Author(s):  
Marco Amabili ◽  
Kostas Karagiozis ◽  
Sirwan Farhadi ◽  
Korosh Khorshidi
Keyword(s):  
Boundary Conditions ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Laminate Composite ◽  
Plate Thickness ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Rectangular Plates ◽  
Different Boundary Conditions ◽  
Simply Supported

There are numerous applications of plate structures found in structural, aerospace and marine engineering. The present study extends the previous work by Amabili and Sirwan [1] investigating the performance of isotropic and laminate composite rectangular plates with different boundary conditions subjected to an external point force with an excitation frequency that lies in the neighbourhood of the fundamental mode of the plate. The analysis is performed using three different nonlinear plate theories, namely: i) the classical Von Ka´rman theory, ii) first-order shear deformation theory, and iii) third-order shear deformation theory. Three different boundary conditions are considered in the investigation: a) classical clamped boundary conditions, b) simply-supported ends with immovable edges, and c) simply-supported ends with movable boundaries. In addition, the effect of thickness was also considered in the analysis and different values for the plate thickness were assumed. The results investigate the accuracy of lower order theories versus higher order shear deformation theories, the effect of boundary conditions and highlight the differences in the responses obtained from isotropic and laminate composite rectangular plates.

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