Nonlinear viscoelastic dynamic modeling of high-speed polypyrrole-based trilayer bending plate-like actuators based on first-order shear deformation plate theory
Restricted accessResearch articleFirst published online February, 2015
Nonlinear viscoelastic dynamic modeling of high-speed polypyrrole-based trilayer bending plate-like actuators based on first-order shear deformation plate theory
In this study, we intend to introduce a nonlinear dynamic theory for analyzing dynamic behavior of plate-like polypyrrole-based trilayer actuators for the first time. Within the displacement field of a first-order shear deformation plate theory and contemplating the nonlinear strain–displacement relations, nonlinear equations of motion are derived using Hamilton’s principle. The nonlinear governing equations are solved using the generalized differential quadrature method together with Newmark’s time integration scheme and the Newton–Raphson iterative method. For the assessment of the accuracy of the present theory, experimental data available in the literature are utilized. Two types of boundary conditions for both steady-state and dynamic analyses are investigated. The present results indicate the importance of considering geometric nonlinearity in the system.
AliciG (2009) An effective modelling approach to estimate nonlinear bending behaviour of cantilever type conducting polymer actuators. Sensors and Actuators B: Chemical141: 284–292.
2.
AliciGHigginsMJ (2009) Normal stiffness calibration of microfabricated tri-layer conducting polymer actuators. Smart Materials and Structures18: 065013.
3.
AliciGHuynhN (2006) Predicting force output of trilayer polymer actuators. Sensors and Actuators A: Physical132: 616–625.
4.
AliciGMetzPSpinksGM (2005) Size optimisation of polypyrrole (PPy) actuators for micro/nano manipulation systems. In: IEEE international conference on robotics and biomimetics, Shatin, 5 July 2005, pp. 566–571. New York: IEEE.
5.
AliciGMuiBCookC (2006) Bending modeling and its experimental verification for conducting polymer actuators dedicated to manipulation applications. Sensors and Actuators A: Physical126: 396–404.
6.
Amiri MoghadamAAMoavenianMTorabiK. (2011a) Analytical dynamic modeling of fast trilayer polypyrrole bending actuators. Smart Materials and Structures20: 115020.
7.
Amiri MoghadamAATorabiKMoavenianM (2011b) Finite element modelling and robust control of fast trilayer polypyrrole bending actuators. International Journal of Applied Electromagnetics and Mechanics35: 281–305.
BellmanRCastiJ (1971) Differential quadrature and long-term integration. Journal of Mathematical Analysis and Applications34: 235–238.
10.
BellmanRKashefBGCastiJ (1972) Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. Journal of Computational Physics10: 40–52.
11.
BowersT (2004) Modeling, simulation, and control of a polypyrrole-based conducting polymer actuator. MSc Thesis, Massachusett Institute of Technology (MIT), Massachusett, USA.
12.
CarpiFSmelaE (eds) (2009) Biomedical Applications of Electroactive Polymer Actuators. John Wilcy & Sons Ltd.the Atrium, Southern Gate, Chichester, West Susex, United Kingdom.
13.
ChenZShataraSTanX (2010) Modeling of biomimetic robotic fish propelled by an ionic polymer-metal composite caudal fin. IEEE/ASME Transactions on Mechatronics15: 448–459.
14.
ChristophersenMShapiroBSmelaE (2006) Characterization and modeling of PPy bilayer microactuators. Sensors and Actuators B: Chemical. 115: 596–609.
15.
DimarogonasADHaddadSD (1992) Vibration for Engineers. Englewood Cliffs, NJ: Prentice Hall.
16.
DurbinF (1974) Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate’s method. Computer Journal17: 371–376.
17.
FangYTanX (2008) Design and modeling of a petal shape conjugated polymer actuated micropump. In: ASME dynamic systems and control conference, Ann Arbor, MI, 20–22 October 2008, pp. 1285–1292. New York: ASME Dynamic Systems and Control Conference.
18.
FangYTanX (2010) A novel diaphragm micropump actuated by conjugated polymer petals: fabrication, modeling, and experimental results. Sensors and Actuators A: Physical158: 121–131.
19.
FangYPenceTJTanX (2008a) Nonlinear elastic modeling of differential expansion in trilayer conjugated polymer actuators. Smart Materials and Structure17: 065020.
20.
FangYTanXAliciG (2008b) Robust adaptive control of conjugated polymer actuators. IEEE Transactions on Control Systems Technology16: 600–612.
21.
GaihreBAliciGSpinksGM. (2011) Effect of electrolyte storage layer on performance of PPy-PVDF-PPy microactuators. Sensors and Actuators B: Chemical155: 810–816.
22.
GaihreBAliciGSpinksGM. (2012) Pushing the limits for microactuators based on electroactive polymers. Journal of Microelectromechanical Systems21: 574–585.
23.
GuoSFukudaTAsakaK (2002) Fish-like underwater microrobot with 3 DOF. IEEE International Conference on Robotics and Automation1: 738–743.
24.
HaraSZamaTTakashimaW. (2005) Free-standing gel-like polypyrrole actuators doped with bis(perfluoroalkylsulfonyl)imide exhibiting extremely large strain. Smart Materials and Structures14: 481–494.
25.
HunterIWLafontaineS (1992) A comparison of muscle with artificial actuators. In: Technical digest IEEE solid-state sensor and actuator workshop, Hilton Head Island, SC, 22–25 June, pp. 178–185. New York: IEEE.
JohnSAliciGCookC (2008a) Frequency response of polypyrrole trilayer actuator displacement. In: Proceedings of SPIE, electroactive polymer actuators and devices (EAPAD), vol. 69271T. (April 10, 2008) doi: 10.1117/12.776149.
28.
JohnSW (2008) Modelling and control of conducting polymer actuators. PhD Thesis, University of Wollongong, Wollongong, NSW, Australia.
29.
JohnSWAliciGCookCD (2008b) Validation of resonant frequency model for polypyrrole trilayer actuators. IEEE/ASME Transactions on Mechatronics13: 401–409.
30.
KieferRMandviwallaXArcherR. (2008) The application of polypyrrole trilayer actuators in microfluidics and robotics. In: Proceedings of SPIE, electroactive polymer actuators and devices (EAPAD), San Diego, CA, 9–13 March, vol. 6927. SPIE.
31.
KotheraCSLeoDJ (2006) Position control of a square-plate ionic polymer actuator using output feedback. Journal of Intelligent Material Systems and Structures18: 219–234.
32.
MaddenJ (2000) Conducting polymer actuators. PhD Thesis, Massachusett Institute of Technology (MIT), Massachusett, USA.
33.
MaddenJVandesteegNMaddenP. (2004) Artificial muscle technology: physical principles and naval prospects. IEEE Journal of Oceanic Engineering29: 706–728.
34.
MaddenPGA (2004) Development and modeling of conducting polymer actuators and the fabrication of a conducting polymer based feedback loop. PhD Thesis, Massachusett Institute of Technology (MIT), Massachusett, USA.
35.
MetzPAliciGSpinksG (2006) A finite element model for bending behaviour of conducting polymer electromechanical actuators. Sensors and Actuators A: Physical130–131: 1–11.
36.
OteroTFTeresa CortesM (2001) Characterization of triple layers. In: Proceedings of SPIE, smart structures and materials: electroactive polymer actuators and devices, Newport Beach, CA, 4 March, vol. 4329. SPIE.
37.
QureshiMIKhanIHChaudharyMP (2011) Hypergeometric forms of well known partial fraction expansions of some meromorphic functions. Global Journal of Science Frontier Research11(6): 45–52.
38.
RaoSS (2005) The Finite Element Method in Engineering. 4th ed.Butterworth-Heinemann. Elsevier: India.
39.
ReddyJN (2004) Mechanics of Laminated Composites Plates and Shells Theory and Analysis. 2nd ed.Boca Raton, FL: CRC Press LLC.
40.
SangkiLKwangJKParkHC (2006) Modeling of an IPMC actuator-driven zero-net-mass-flux pump for flow control. Journal of Intelligent Material Systems and Structures17: 533–541.
ShahinpoorMOsadaY (1995) Heart tissue replacement with ionic polymeric gels. In: Proceedings of ASME winter annual meeting, San Francisco, CA, 12–17 November 1995, pp. 314–318. New York: ASME.
ShapiroBSmelaE (2006) Bending actuators with maximum curvature and force and zero interfacial stress. Journal of Intelligent Material Systems and Structures18: 181–186.
45.
ShoaTMaddenDWMunceNR. (2010) Analytical modeling of a conducting polymer-driven catheter. Polymer International59: 343–351.
46.
ShuC (1991) Generalized differential-integral quadrature and application to the simulation of incompressible viscous flows including parallel computation. PhD Thesis, National University of Singapore, Singapore.
47.
ShuCRichardsBE (1992a) Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids15: 791–798.
48.
ShuCRichardsBE (1992b) Parallel simulation of incompressible viscous flows by generalized differential quadrature. Computing Systems in Engineering3: 271–281.
SteidelRF (1989) Introduction to Mechanical Vibrations. New York: John Wiley & Sons Ltd.
51.
ThomsonWT (1989) Theory of Vibration with Applications. Englewood Cliffs, NJ: Prentice Hall.
52.
TozziPShahinpoorMHayozD. (2004) Electroactive polymers to assist failing heart: the future is now. In: Proceedings of the second World congress on biomimetics and artificial muscle. (Biomimetics and Nano-Bio 2004), Albuquerque, NM, 5–8 December.
