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Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   MAY 2015 , Volume 15 , Number 2; Page(s) 221 To 230.
 
Paper: 

NON-LINEAR BENDING ANALYSIS OF THICK RECTANGULAR PLATES BY FOUR-VARIABLE REFINED PLATE THEORY AND DYNAMIC RELAXATION METHOD

 
 
Author(s):  ROUZEGAR JAFAR*, GHOLAMI MOHAMMAD
 
* DEPARTMENT OF MECHANICAL AND AEROSPACE ENGINEERING, SHIRAZ UNIVERSITY OF TECHNOLOGY, SHIRAZ, IRAN
 
Abstract: 

In this study, the non-linear bending analysis of isotropic and orthotropic rectangular plates is performed by Dynamic Relaxation (DR) method. In order to model the plate, the four-variable refined plate theory, which is a new and simple higher-order shear deformation theory and has a good capability in analysis of thick plates, is adopted. Despite the first-order shear deformation plate theory, this theory does not need the shear correction factor, predicts shear strains and stress parabolically across the plate thickness and satisfies the zero stress conditions on free surfaces. The governing equations are obtained using virtual work principle and the Von-Karman nonlinear terms are considered in strain-displacement equations. The non-linear coupled governing equations are solved by DR method combined with finite difference technique, and for this purpose a computer code is provided in MATLAB software. In order to demonstrate the accuracy of the present method, the numerical results are compared with the existing ones and very good agreement is observed. Also, the effects of side-to-thickness ratio and boundary conditions on the results are examined. Finally, the variations of shear effects by changing the plate thickness and also changing the orthotropy ratio in orthotropic plates are investigated.

 
Keyword(s): DYNAMIC RELAXATION METHOD, FOUR-VARIABLE REFINED PLATE THEORY, HIGHER-ORDER PLATE THEORY, LARGE DEFLECTION, NON-LINEAR BENDING
 
 
References: 
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Citations: 
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+ Click to Cite.
APA: Copy

ROUZEGAR, J., & GHOLAMI, M. (2015). NON-LINEAR BENDING ANALYSIS OF THICK RECTANGULAR PLATES BY FOUR-VARIABLE REFINED PLATE THEORY AND DYNAMIC RELAXATION METHOD. MODARES MECHANICAL ENGINEERING, 15(2), 221-230. https://www.sid.ir/en/journal/ViewPaper.aspx?id=422375



Vancouver: Copy

ROUZEGAR JAFAR, GHOLAMI MOHAMMAD. NON-LINEAR BENDING ANALYSIS OF THICK RECTANGULAR PLATES BY FOUR-VARIABLE REFINED PLATE THEORY AND DYNAMIC RELAXATION METHOD. MODARES MECHANICAL ENGINEERING. 2015 [cited 2021November28];15(2):221-230. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=422375



IEEE: Copy

ROUZEGAR, J., GHOLAMI, M., 2015. NON-LINEAR BENDING ANALYSIS OF THICK RECTANGULAR PLATES BY FOUR-VARIABLE REFINED PLATE THEORY AND DYNAMIC RELAXATION METHOD. MODARES MECHANICAL ENGINEERING, [online] 15(2), pp.221-230. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=422375.



 
 
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