Free Vibration and Buckling Analysis of Functionally Graded Plates Resting on Elastic Foundation Using Higher Order Theory

被引:26
作者
Parida, Smita [1 ]
Mohanty, Sukesh Chandra [1 ]
机构
[1] Natl Inst Technol, Dept Mech Engn, Rourkela 769008, Odisha, India
关键词
Functionally graded material; Winkler-Pasternak elastic foundation; higher order theory; C-0; continuity; plate; power law distribution; serendipity element; DISCRETE SINGULAR CONVOLUTION; RECTANGULAR MINDLIN PLATES; INPLANE LOADS; THICK PLATES; NONLINEAR VIBRATION; SHEAR;
D O I
10.1142/S0219455418500499
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
This paper deals with the free vibration and buckling analysis of functionally graded material (FGM) plates, resting on the WinklerPasternak elastic foundation. The higher order shear deformation plate theory (HSPT) is adopted for the realistic variation of transverse displacement through the thickness, using the power law distribution to describe the variation of the material properties. Both the effects of shear deformation and rotary inertia are considered. In the present model, the plate is discretised into C-0 eight noded serendipity quadratic elements with seven nodal degrees of freedom (DOFs). The validation study is carried out by comparing the calculated values with those given in the literature. The effects of various parameters like the Winkler and Pasternak modulus coefficients, volume fraction index, aspect ratio, thickness ratio and different boundary conditions on the behaviour of the FGM plates are studied.
引用
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页数:21
相关论文
共 36 条
[1]   Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation. Part I: Buckling analysis [J].
Akhavan, H. ;
Hashemi, Sh. Hosseini ;
Taher, H. Rokni Damavandi ;
Alibeigloo, A. ;
Vahabi, Sh. .
COMPUTATIONAL MATERIALS SCIENCE, 2009, 44 (03) :968-978
[2]   Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation. Part II: Frequency analysis [J].
Akhavan, H. ;
Hashemi, Sh. Hosseini ;
Taher, H. Rokni Damavandi ;
Alibeigloo, A. ;
Vahabi, Sh. .
COMPUTATIONAL MATERIALS SCIENCE, 2009, 44 (03) :951-961
[3]   Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation [J].
Baferani, A. Hasani ;
Saidi, A. R. ;
Ehteshami, H. .
COMPOSITE STRUCTURES, 2011, 93 (07) :1842-1853
[4]   An exact solution for free vibration of thin functionally graded rectangular plates [J].
Baferani, A. Hasani ;
Saidi, A. R. ;
Jomehzadeh, E. .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2011, 225 (C3) :526-536
[5]   Large deflection analysis of laminated composite plates resting on nonlinear elastic foundations by the method of discrete singular convolution [J].
Baltacioglu, A. K. ;
Civalek, O. ;
Akgoz, B. ;
Demir, F. .
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, 2011, 88 (8-9) :290-300
[6]   Nonlinear static response of laminated composite plates by discrete singular convolution method [J].
Baltacioglu, Ali Kemal ;
Akgoz, Bekir ;
Civalek, Omer .
COMPOSITE STRUCTURES, 2010, 93 (01) :153-161
[7]  
Bishop R.E.D., 1979, The Mechanics of Vibration
[8]   Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation [J].
Bodaghi, M. ;
Saidi, A. R. .
ARCHIVE OF APPLIED MECHANICS, 2011, 81 (06) :765-780
[9]   PLATE BUCKLING ANALYSIS USING A GENERAL HIGHER-ORDER SHEAR DEFORMATION THEORY [J].
Challamel, Noel ;
Kolvik, Gjermund ;
Hellesland, Jostein .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2013, 13 (05)
[10]   Vibration Analysis of Functionally Graded Timoshenko Beams [J].
Chen, Wei-Ren ;
Chang, Heng .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2018, 18 (01)