Nonlinear free vibration and transient responses of porous functionally graded magneto-electro-elastic plates

被引：2
作者：
Sh, Esayas L. [1 ]
Kattimani, Subhaschandra [1 ]
Vinyas, M. [2 ]
机构：
[1] Natl Inst Technol Karnataka, Dept Mech Engn, Surathkal 575025, India
[2] Natl Inst Technol, Dept Mech Engn, Silchar 788010, India
来源：
ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING | 2022年 / 22卷 / 01期
基金：
英国科研创新办公室;
关键词：
Nonlinear frequency ratio; Porosity distribution; Porous functionally graded magneto-electro-elastic (PFG-MEE) plates; Transient deflection; ISOGEOMETRIC ANALYSIS; POROSITY INFLUENCE; COMPOSITE PLATES; LARGE DEFLECTION; PHYSICAL FIELDS; BEAMS; BEHAVIOR;
D O I：
暂无
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
The geometrically nonlinear free vibration and transient response of porous functionally graded magneto-electro-elastic (PFG-MEE) plates are studied based on the first-order shear deformation (FSDT) theory, von Karman's nonlinear strain-displacement relations along with modified power law. With Hamilton's theory, the coupled equations of motion are obtained and analyzed by adapting finite element methods (FEM). Moreover, using Newmark's, Picard's, and Newton-Raphson methods, a porous FG-MEE plate's nonlinear and transient response is analyzed using MATLAB software. After validating the present study, the influence of porosity distribution, porosity index, boundary conditions, aspect ratios, and thickness to length ratios on the nonlinear frequency ratio and nonlinear transient response of porous FG-MEE plate is investigated. It is revealed that geometric parameters, porosity index, boundary conditions, and form of porosity distribution significantly influence the nonlinear frequency ratio and nonlinear transient deflections of porous FG-MEE plates.
引用
收藏
页数：26
相关论文
共 53 条
[1]   Frequency simulation of viscoelastic multi-phase reinforced fully symmetric systems [J].
Al-Furjan, M. S. H. ;
Habibi, Mostafa ;
Ni, Jing ;
Jung, Dong Won ;
Tounsi, Abdelouahed .
ENGINEERING WITH COMPUTERS, 2022, 38 (SUPPL 5) :3725-3741
[2]   Chaotic responses and nonlinear dynamics of the graphene nanoplatelets reinforced doubly-curved panel [J].
Al-Furjan, M. S. H. ;
Habibi, Mostafa ;
Jung, Dong Won ;
Chen, Guojin ;
Safarpour, Mehran ;
Safarpour, Hamed .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2021, 85
[3]   Chaotic oscillation of a multi-scale hybrid nano-composites reinforced disk under harmonic excitation via GDQM [J].
Al-Furjan, M. S. H. ;
Habibi, Mostafa ;
Chen, Guojin ;
Safarpour, Hamed ;
Safarpour, Mehran ;
Tounsi, Abdelouahed .
COMPOSITE STRUCTURES, 2020, 252
[4]   A finite element formulation for large deflection of multilayered magneto-electro-elastic plates [J].
Alaimo, A. ;
Benedetti, L. ;
Milazzo, A. .
COMPOSITE STRUCTURES, 2014, 107 :643-653
[5]   A first-order shear deformation finite element model for elastostatic analysis of laminated composite plates and the equivalent functionally graded plates [J].
Alieldin, S. S. ;
Alshorbagy, A. E. ;
Shaat, M. .
AIN SHAMS ENGINEERING JOURNAL, 2011, 2 (01) :53-62
[6]  
Bathe KJ., 1982, FINITE ELEMENT PROCE, DOI DOI 10.1115/1.3264375
[7]  
BERGAN PG, 1972, AIAA J, V10, P1107, DOI 10.2514/3.50313
[8]   Free vibration of simply supported functionally graded and layered magneto-electro-elastic plates by finite element method [J].
Bhangale, Rajesh K. ;
Ganesan, N. .
JOURNAL OF SOUND AND VIBRATION, 2006, 294 (4-5) :1016-1038
[9]   Static analysis of simply supported functionally graded and layered magneto-electro-elastic plates [J].
Bhangale, RK ;
Ganesan, N .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2006, 43 (10) :3230-3253
[10]  
Chen SWCJ., 2000, AERONAUT J, V114, P437, DOI [10.1017/s0001924000003912, DOI 10.1017/S0001924000003912]
123456