In the present article, a parametric study on the geometric nonlinear static and dynamic analysis of thin functionally graded structure sandwiched between functionally graded piezoelectric materials is presented. The properties of functionally graded material are graded in the thickness direction according to a power law distribution and variation of electric field is assumed to be quadratic across the thickness of functionally graded piezoelectric materials layers. The structure is modeled using finite element modeling. The finite element formulation is derived using Hamilton’s principle using full geometric nonlinearities. This is done by using Green-Lagrangian strains instead of von-Karman strains which are usually used by most researchers while conducting similar studies. The ensued non-linear algebraic equations are then solved using the modified Newton–Raphson method. A fuzzy logic controller is used to attenuate the vibration occurring in the host structure.
AlmajidATayaM andHudnutS.Analysis of out-of-plane displacement and stress field in a piezocomposite plate with functionally graded microstructure. Int J Solids Struct2001;
38: 3377–3391.
2.
ZhuXMengZ.Operational principle, fabrication and displacement characteristics of a functionally graded piezoelectric ceramic actuator. Sensor Actuat A Phys1995;
48: 169–176.
3.
TayaMAlmajidAADunnM, et al.
Design of bimorph piezo-composite actuators with functionally graded microstructure. Sensor Actuat A Phys2003;
107: 248–260.
4.
TakagiKLiJFYokoyamaS, et al.
Design and fabrication of functionally graded PZT/Pt piezoelectric bimorph actuator. Sci Technol Adv Mater2002;
3: 217–224.
5.
WuXHChenCShenYP, et al.
A high order theory for functionally graded piezoelectric shells. Int J Solids Struct2002;
39: 5325–5344.
LeeHZ.Layerwise laminate analysis of functionally graded piezoelectric bimorph beams. J Intel Mater Syst Struct2005;
16: 365–371.
8.
YangJXiangHJ.Thermo-electro-mechanical characteristics of functionally graded piezoelectric actuators. Smart Mater Struct2007;
16: 784–797.
9.
XiangHJShiZF.Static analysis for functionally graded piezoelectric actuators or sensors under a combined electro-thermal load. Eur J Mech A Solid2009;
28: 338–346.
10.
BodaghiMShakeriM.An analytical approach for free vibration and transient response of functionally graded piezoelectric cylindrical panels subjected to impulsive loads. Compos Struct2012;
94: 1721–1735.
11.
SharmaAKumarAKumarR, et al.
Finite element analysis on active vibration control using lead zirconate titanate–Pt–based functionally graded piezoelectric material. J Intel Mater Syst Struct2015;
27: 490–499.
12.
ArefiMZenkourAM.Employing sinusoidal shear deformation plate theory for transient analysis of three layers sandwich nanoplate integrated with piezo-magnetic face-sheets. Smart Mater Struct2016;
25: 115040
13.
ArefiMZenkourAM.Vibration and bending analysis of a sandwich microbeam with two integrated piezo-magnetic face-sheets. Compos Struct2017;
159: 479–490.
14.
KomijaniMKianiYEslamiMR.Non-linear thermoelectrical stability analysis of functionally graded piezoelectric material beams. J Intel Mater Syst Struct2012;
24: 399–410.
15.
ArbindA and ReddyJN,
Nonlinear analysis of functionally graded microstructure-dependent beams, Composite Structures, 2013;
98: 272–281.
16.
BodaghiMDamanpackARAghdamMM, et al.
Geometrically non-linear transient thermo-elastic response of FG beams integrated with a pair of FG piezoelectric sensors. Compos Struct2014;
107: 48–59.
17.
KomijaniMReddyJNEslamiMR.Nonlinear analysis of microstructure-dependent functionally graded piezoelectric material actuators. J Mech Phys Solids. 2014;
63: 214–227.
18.
SusheelCKKumarRChauhanVS.An investigation into shape and vibration control of space antenna reflectors. Smart Mater Struct2016;
25: 125018.
19.
AminiYEmdadHFaridM.Finite element modeling of functionally graded piezoelectric harvesters. Compos Struct2015;
129: 165–176.
20.
DvorkinENBatheKJ.A continuum mechanics based four-node shell element for general nonlinear analysis. Eng Comput1984;
1: 77–88.
21.
BalamuruganVandNarayananS.A piezolaminated composite degenerated shell finite element for active control of structures with distributed piezosensors and actuators. Smart Mater Struct2008;
17: 35031.
22.
WooJMeguidSA.Nonlinear analysis of functionally graded plates and shallow shells. Int J Solids Struct2001;
38: 7409–7421.
BatheKJ.Finite element procedures. New Jersy, Prentice-Hall, 1996.
25.
WankhadeRLandBajoriaKM.Free vibration and stability analysis of piezolaminated plates using the finite element method. Smart Mater Struct2013;
22: 125040.
26.
SharmaAKumarRVaishR, et al.
Active vibration control of space antenna reflector over wide temperature range. Compos Struct2015;
128: 291–304.
27.
LiewKMHeXQNgTY, et al.
Active control of FGM plates subjected to a temperature gradient: modelling via 2nite element method based on FSDT. Int J Numer Meth Eng2001;
52: 1253–1271.
28.
HeXQNgTYSivashankerS, et al.
Active control of FGM plates with integrated piezoelectric sensors and actuators. Int J Solids Struct2001;
38: 1641–1655.
