Active shape and vibration control for piezoelectric bonded composite structures using various geometric nonlinearities

Bailey, 1985, Distributed piezoelectric-polymer active vibration control of a cantilever beam, J Guid Control Dyn, 8, 605, 10.2514/3.20029 Agrawal, 1999, Shape control of a beam using piezoelectric actuators, Smart Mater Struct, 8, 729, 10.1088/0964-1726/8/6/303 Narayanan, 2003, Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators, J Sound Vib, 262, 529, 10.1016/S0022-460X(03)00110-X Lam, 1997, A finite-element model for piezoelectric composite laminates, Smart Mater Struct, 6, 583, 10.1088/0964-1726/6/5/009 Saravanos, 1997, Mixed laminate theory and finite element for smart piezoelectric composite shell structures, AIAA J, 35, 1327, 10.2514/2.264 Varadarajan, 1998, Adaptive shape control of laminated composite plates using piezoelectric materials, AIAA J, 36, 1694, 10.2514/2.573 Correia, 2000, Modelling and design of adaptive composite structures, Comput Methods Appl Mech Eng, 185, 325, 10.1016/S0045-7825(99)00265-0 Varelis, 2004, Coupled buckling and postbuckling analysis of active laminated piezoelectric composite plates, Int J Solids Struct, 41, 1519, 10.1016/j.ijsolstr.2003.09.034 Varelis, 2004, Mechanics and finite element for the nonlinear response of active laminated piezoelectric composite plates, AIAA J, 42, 1227, 10.2514/1.10422 Panda, 2008, Nonlinear finite element analysis of functionally graded plates integrated with patches of piezoelectric fiber reinforced composite, Finite Elem Anal Des, 44, 493, 10.1016/j.finel.2008.01.001 Mukherjee, 2005, Nonlinear dynamic response of piezolaminated smart beams, Comput Struct, 83, 1298, 10.1016/j.compstruc.2004.06.008 Sarangi, 2011, Active damping of geometrically nonlinear vibrations of doubly curved laminated composite shells, Compos Struct, 93, 3216, 10.1016/j.compstruct.2011.06.005 Kapuria, 2004, Zigzag theory for buckling of hybrid piezoelectric beams under electromechanical loads, Int J Mech Sci, 46, 1, 10.1016/j.ijmecsci.2004.03.003 Librescu, 1988, Refined theories of elastic anisotropic shells accounting for small strains and moderate rotations, Int J Non-Linear Mech, 23, 217, 10.1016/0020-7462(88)90013-3 Schmidt, 1988, A refined small strain and moderate rotation theory of elastic anisotropic shells, J Appl Mech, 55, 611, 10.1115/1.3125837 Lentzen, 2007, Geometrically nonlinear finite element simulation of smart piezolaminated plates and shells, Smart Mater Struct, 16, 2265, 10.1088/0964-1726/16/6/029 Gao, 2003, Active control of geometrically nonlinear transient vibration of composite plates with piezoelectric actuators, J Sound Vib, 264, 911, 10.1016/S0022-460X(02)01189-6 Kundu, 2007, Post buckling analysis of smart laminated doubly curved shells, Compos Struct, 81, 314, 10.1016/j.compstruct.2006.08.023 Behjat, 2012, Geometrically nonlinear static and free vibration analysis of functionally graded piezoelectric plates, Compos Struct, 94, 874, 10.1016/j.compstruct.2011.08.024 Chróścielewski, 1997, Numerical simulation of geometrically nonlinear flexible beam control via piezoelectric layers, ZAMM Z Angew Math Mech, 77, S69 Chróścielewski, 1998, Theory and numerical simulation of nonlinear vibration control of arches with piezoelectric distributed actuators, Mach Dyn Prob, 20, 73 Zhang, 2013, Large rotation FE transient analysis of piezolaminated thin-walled smart structures, Smart Mater Struct, 22, 105025, 10.1088/0964-1726/22/10/105025 Zhang, 2014, Large rotation theory for static analysis of composite and piezoelectric laminated thin-walled structures, Thin Walled Struct, 78, 16, 10.1016/j.tws.2013.12.007 Zhang, 2014, Static and dynamic FE analysis of piezoelectric integrated thin-walled composite structures with large rotations, Compos Struct, 112, 345, 10.1016/j.compstruct.2014.02.029 Yi, 2000, Large deformation finite element analyses of composite structures integrated with piezoelectric sensors and actuators, Finite Elem Anal Des, 35, 1, 10.1016/S0168-874X(99)00045-1 Klinkel, 2006, A geometrically nonlinear piezoelectric solid shell element based on a mixed multifield variational formulation, Int J Numer Methods Eng, 65, 349, 10.1002/nme.1447 Klinkel, 2008, A piezoelectric solid shell element based on a mixed variational formulation for geometrically linear and nonlinear applications, Comput Struct, 86, 38, 10.1016/j.compstruc.2007.05.032 Habip, 1965, Theory of elastic shells in the reference state, Arch Appl Mech, 34, 228 Librescu, 1975 Kreja, 2006, Large rotations in first-order shear deformation fe analysis of laminated shells, Int J Non-Linear Mech, 41, 101, 10.1016/j.ijnonlinmec.2005.06.009 Kumar, 2008, Static and dynamic analysis of smart cylindrical shell, Finite Elem Anal Des, 45, 13, 10.1016/j.finel.2008.07.005 Sheng, 2009, Active control of functionally graded laminated cylindrical shells, Compos Struct, 90, 448, 10.1016/j.compstruct.2009.04.017 Malgaca, 2010, Integration of active vibration control methods with finite element models of smart laminated composite structures, Compos Struct, 92, 1651, 10.1016/j.compstruct.2009.11.032 Marinković, 2009, Aspects of modeling piezoelectric active thin-walled structures, J Intell Mater Syst Struct, 20, 1835, 10.1177/1045389X09102261 Tzou, 1996, Analysis of piezoelastic structures with laminated piezoelectric triangle shell elements, AIAA J, 34, 110, 10.2514/3.12907 Chróścielewski J, Klosowski P, Schmidt R. Nonlinear static and transient response of smart beams and shells with piezoelastic layers. In: Anderson GL, Garg D, Wang KW, editors. Proceeding of the fourth ARO workshop on smart structures. Session 8: modeling and characterisation issues, US Army Research Office, Penn State, State College, Pennsylvania; 1999.