[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sss.2010.6.8.921

Assessment of velocity-acceleration feedback in optimal control of smart piezoelectric beams

Beheshti-Aval, S.B. (Department of Civil Engineering, Khajeh Nasir Toosi University of Technology (KNTU))
Lezgy-Nazargah, M. (Department of Civil Engineering, Khajeh Nasir Toosi University of Technology (KNTU))

Publication Information

Smart Structures and Systems / v.6, no.8, 2010 , pp. 921-938 More about this Journal

Abstract

Most of studies on control of beams containing piezoelectric sensors and actuators have been based on linear quadratic regulator (LQR) with state feedback or output feedback law. The aim of this study is to develop velocity-acceleration feedback law in the optimal control of smart piezoelectric beams. A new controller which is an optimal control system with velocity-acceleration feedback is presented. In finite element modeling of the beam, the variation of mechanical displacement through the thickness is modeled by a sinus model that ensures inter-laminar continuity of shear stress at the layer interfaces as well as the boundary conditions on the upper and lower surfaces of the beam. In addition to mechanical degrees of freedom, one electric potential degree of freedom is considered for each piezoelectric element layer. The efficiency of this control strategy is evaluated by applying to an aluminum cantilever beam under different loading conditions. Numerical simulations show that this new control scheme is almost as efficient as an optimal control system with state feedback. However, inclusion of the acceleration in the control algorithm increases practical value of a system due to easier and more accurate measurement of accelerations.

Keywords

active structural control; smart piezoelectric beam; velocity-acceleration feedback;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
Cited By SCOPUS

1	Alkhatib, R. and Golnaraghi, M.F. (2003), "Active structural vibration control: a review", Shock Vib. Digest, 35(5), 367-383. DOI ScienceOn
2	Allik, H. and Hughes, T.J.R. (1970), "Finite element method for piezoelectric vibration", Int. J. Num. Meth. Eng., 2(2), 151-157. DOI
3	Benjeddou, A. (2000), "Advances in piezoelectric finite element modeling of adaptive structural elements: a survey", Comput. Struct., 76, 347-363. DOI ScienceOn
4	Benjeddou, A. (2004), Modeling and simulation of adaptive structures and composites: current trends and future directions, Progress in computational structures technology, (Eds. Topping, B.H.V. and Soares, C.A.M.), Saxe Coburg Publications.
5	Blanguernon, A., Lene, F. and Bernadou, M. (1999), "Active control of a beam using a piezoceramic element", Smart Mater. Struct., 8(1), 116-124. DOI ScienceOn
6	Bruant, I., Coffignal, G., Lené, F. and Vergé, M. (2001), "Active control of beam structures with piezoelectric actuators and sensors: modeling and simulation", Smart Mater. Struct., 10(2), 404-408. DOI ScienceOn
7	Burl, J.B. (1999), Linear optimal control, Addison-Wesley, California.
8	Chandrashekhara, K. and Smyser, C.P. (1998), "Dynamic modeling and neural control of composite shells using piezoelectric devices", J. Intel. Mat. Syst. Str., 9(1), 29-43. DOI
9	Crawley, E.F. and de Luis, J. (1987), "Use of piezoelectric actuators as element of intelligent structures", AIAA J., 25, 1373-1385. DOI ScienceOn
10	Fukunaga, H., Hu, N. and Ren, G.X. (2001), "FEM modeling of adaptive composite structures using a reduced higher-order plate theory via penalty functions", Int. J. Solids Struct., 38, 8735-8752. DOI ScienceOn
11	Heyliger, P., Ramirez, G. and Saravanos, D. (1994), "Coupled discrete-layer finite elements for laminated piezoelectric plates", Commun. Numer. Meth. En., 10(12), 971-981. DOI ScienceOn
12	Irschik, H. (2002), "A review on static and dynamic shape control of structures by piezoelectric actuation", Eng. Struct., 24, 5-11. DOI ScienceOn
13	Kwakernaak, H. and Sivan, R. (1972), Linear optimal control systems, New York, John Whiley and Sons.
14	Lage, R.G., Soares, C.M.M., Soares, C.A.M. and Reddy, J.N. (2004a), "Analysis of laminated adaptive plate structures by mixed layerwise finite element models", Compos. Struct., 66, 269-276. DOI
15	Lage, R.G., Soares, C.M.M., Soares, C.A.M. and Reddy, J.N. (2004b), "Modeling of piezolaminated plates using layerwise mixed finite element models", Comput. Struct., 82(23-26), 1849-1863. DOI ScienceOn
16	Lim, Y.H., Varadan, V.V. and Varadan, V.K. (1997), "Closed loop finite element modeling of active structural damping in the frequency domain", Smart Mater. Struct., 6(2), 161-168. DOI ScienceOn
17	Moita, J.M.S., Correia, I.F.P., Soares, C.M.M. and Soares, C.A.M. (2004), "Active control of adaptive laminated structures with bonded piezoelectric sensors and actuators", Comput. Struct., 82(17-19), 1349-1358. DOI ScienceOn
18	Narayanan, S. and Balamurugan, V. (2003), "Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators", J. Sound Vib., 262, 529-562. DOI ScienceOn
19	Oshima, K., Takigami, T. and Hayakawa, Y. (1997), "Robust vibration control of a cantilever beam using selfsensing actuator", JSME Int. J. C-Mech. Sy., 40, 681-687. DOI ScienceOn
20	Petyt, M. (1990), Introduction to finite element vibration analysis, Cambridge University Press, Cambridge.
21	Qiu, J. and Tani, J. (1995), "Vibration control of a cylindrical shell using distributed piezoelectric sensors and actuators", J. Intel. Mat. Syst. Str., 6(4), 474-481. DOI ScienceOn
22	Saravanos, D.A., Heyliger, P.R. and Hopkins, D.A. (1997), "Layerwise mechanics and finite element model for the dynamic analysis of piezoelectric composite plates", Int. J. Solids Struct., 34(3), 359-378. DOI ScienceOn
23	Sunar, M. and Rao, S.S. (1999), "Recent advances in sensing and control of flexible structures via piezoelectric material technology", Appl. Mech. Rev., 52, 1-16. DOI ScienceOn
24	Veley, D.E. and Rao, S.S. (1996), "A comparison of active, passive and hybrid damping in structural design", Smart Mater. Struct., 5(5), 660-671. DOI ScienceOn
25	Sung, C.K., Chen, T.F. and Chen, S.G. (1996), "Piezoelectric modal sensor actuator design for monitoring generating flexural and torsional vibrations of cylindrical shells", J. Vib. Acoust., 118, 48-55. DOI
26	Tzou, H.S. and Gadre, M. (1989), "Theoretical-analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration controls", J. Sound Vib., 132, 433-450. DOI ScienceOn
27	Vasques, C.M.A. and Rodrigues, J.D. (2006), "Active vibration control of smart piezoelectric beams: Comparison of classical and optimal feedback control strategies", Comput. Struct., 84(22-23), 1402-1414. DOI ScienceOn
28	Vidal, P. and Polit, O. (2008), "A family of sinus finite elements for the analysis of rectangular laminated beams", Compos. Struct., 84, 56-72. DOI ScienceOn
29	Wang, B.T. and Rogers, C.A. (1991), "Laminate plate-theory for spatially distributed induced strain actuators", J. Compos. Mater., 25, 433-452. DOI
30	Xu, K.M., Noor, A.K. and Tang, Y.Y. (1995), "3-dimensional solutions for coupled thermoelectroelastic response of multilayered plates", Comput. Method. Appl. M., 126(3-4), 355-371. DOI ScienceOn

3	M. Lezgy-Nazargah. (2016) Mechanics of Advanced Materials and Structures Efficient coupled refined finite element for dynamic analysis of sandwich beams containing embedded shear-mode piezoelectric layers / 23 (3) , 337
	M. Lezgy-Nazargah. (2017) Journal of Sound and Vibration Assessment of FGPM shunt damping for vibration reduction of laminated composite beams / 389 , 101
	S.B. Beheshti-Aval. (2013) Thin-Walled Structures A finite element model based on coupled refined high-order global-local theory for static analysis of electromechanical embedded shear-mode piezoelectric sandwich composite beams with various widths / 72 , 139
	M Lezgy-Nazargah. (2017) Journal of Intelligent Material Systems and Structures Effective coupled thermo-electro-mechanical properties of piezoelectric structural fiber composites: A micromechanical approach / , 1045389X1771178
12	S. B. Beheshti-Aval. (2012) Archive of Applied Mechanics A coupled refined high-order global-local theory and finite element model for static electromechanical response of smart multilayered/sandwich beams / 82 (12) , 1709
	M. Lezgy-Nazargah. (2013) Composite Structures An efficient finite element model for static and dynamic analyses of functionally graded piezoelectric beams / 104 , 71
5	(2010) Smart structures and systems Passive shape control of force-induced harmonic lateral vibrations for laminated piezoelastic Bernoulli-Euler beams-theory and practical relevance / 7 (5) , 417
6	(2013) Meccanica Coupled refined layerwise theory for dynamic free and forced response of piezoelectric laminated composite and sandwich beams / 48 (6) , 1479
None	(2018) Composite structures Reduced modal state-space approach for low-velocity impact analysis of sandwich beams / 206 (None) , 762
11	(2020) Journal of vibration and control : JVC <I>H</I><SUB><I>∞</I></SUB> control method for seismically excited building structures with time-delay / 26 (11) , 865
None	(2022) Thin-walled structures Smart damping of a simply supported laminated CNT-based hybrid composite plate using FE approach / 171 (None) , 108782