Energy Harvesting from Vibrations of a Functionally Graded Beam due to Moving Loads and Moving Masses
Publication: Journal of Engineering Mechanics
Volume 143, Issue 9
Abstract
Based on the Euler–Bernoulli beam theory and the generalized Hamilton’s principle, this paper presents piezoelectric energy harvesting (PEH) from vibrations of a functionally graded (FG) beam induced by multimoving forces and multimoving masses. Various moving loads are analyzed by considering various parameters. The finite element method is used to analyze the electromechanical behavior of a piezoelectric harvester in a unimorph configuration. For the transient analysis, the Newmark’s explicit integration technique is adopted. It is assumed that material properties of the beam and piezoelectric patch vary continuously in the thickness direction according to the power-law form. The effects of different material distributions, velocities of the moving loads, and time lags between each moving load on the produced power are discussed. The present work shows that a remarkable electrical power can be generated from the vibrations of an FG beam subjected to moving loads and masses.
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References
Amini, Y., Emdad, H., and Farid, M. (2014). “An accurate model for numerical prediction of piezoelectric energy harvesting from fluid structure interaction problems.” Smart Mater. Struct., 23(9), 095034.
Amini, Y., Emdad, H., and Farid, M. (2015). “Finite element modeling of functionally graded piezoelectric harvesters.” Compos. Struct., 129(1), 165–176.
Amini, Y., Fatehi, P., Heshmati, M., and Parandvar, H. (2016). “Time domain and frequency domain analysis of functionally graded piezoelectric harvesters subjected to random vibration: Finite element modeling.” Compos. Struct., 136(1), 384–393.
Aydogdu, M., and Taskin, V. (2007). “Free vibration analysis of functionally graded beams with simply supported edges.” Mater. Des., 28(5), 1651–1656.
Bathe, K. J., and Wilson, E. L. (1976). Numerical methods in finite element analysis, Prentice-Hall, New York, 528.
Chen, C.-N. (2000). “Dynamic equilibrium equations of composite anisotropic beams considering the effects of transverse shear deformations and structural damping.” Compos. Struct., 48(4), 287–303.
Cifuentes, A. O. (1989). “Dynamic response of a beam excited by a moving mass.” Finite Elem. Anal. Des., 5(3), 237–246.
Clough, R., and Penzien, J. (1993). Dynamics of structures, McGraw-Hill, New York.
Dym, C. L., and Shames, I. H. (2013). “Beams, Frames and Rings.” Solid mechanics: A variational approach, augmented edition, Springer, New York, 187–256.
Erturk, A., and Inman, D. J. (2008). “A distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters.” J. Vibr. Acoust., 130(4), 041002.
Erturk, A., and Inman, D. J. (2009). “An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitations.” Smart Mater. Struct., 18(2), 025009.
Frýba, L. (2013). Vibration of solids and structures under moving loads, Springer Science and Business Media, Berlin.
Heshmati, M., and Yas, M. H. (2013). “Dynamic analysis of functionally graded multi-walled carbon nanotube-polystyrene nanocomposite beams subjected to multi-moving loads.” Mater. Des., 49(1), 894–904.
Ichikawa, M., Miyakawa, Y., and Matsuda, A. (2000). “Vibration analysis of the continuous beam subjected to a moving mass.” J. Sound Vibr., 230(3), 493–506.
Kadivar, M., and Mohebpour, S. (1998). “Finite element dynamic analysis of unsymmetric composite laminated beams with shear effect and rotary inertia under the action of moving loads.” Finite Elem. Anal. Des., 29(3), 259–273.
Lee, H., Jang, H., Park, J., Jeong, S., Park, T., and Choi, S. (2013). “Design of a piezoelectric energy-harvesting shock absorber system for a vehicle.” Integr. Ferroelectr., 141(1), 32–44.
Nikkhoo, A., Rofooei, F., and Shadnam, M. (2007). “Dynamic behavior and modal control of beams under moving mass.” J. Sound Vibr., 306(3), 712–724.
Reddy, J. N. (1993). An introduction to the finite element method, McGraw-Hill, New York.
Reddy, J. N. (2002). Energy principles and variational methods in applied mechanics, Wiley, Hoboken, NJ.
Rocha, J. G., Goncalves, L. M., Rocha, P. F., Silva, M. P., and Lanceros-Mendez, S. (2010). “Energy harvesting from piezoelectric materials fully integrated in footwear.” Ind. Electron., IEEE Trans., 57(3), 813–819.
Sadiku, S., and Leipholz, H. (1987). “On the dynamics of elastic systems with moving concentrated masses.” Ingenieur-Archiv, 57(3), 223–242.
Şimşek, M. (2010a). “Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load.” Compos. Struct., 92(10), 2532–2546.
Şimşek, M. (2010b). “Vibration analysis of a functionally graded beam under a moving mass by using different beam theories.” Compos. Struct., 92(4), 904–917.
Şimşek, M., and Kocatürk, T. (2009). “Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load.” Compos. Struct., 90(4), 465–473.
Stanišić, M. M., and Hardin, J. C. (1969). “On the response of beams to an arbitrary number of concentrated moving masses.” J. Franklin Ins., 287(2), 115–123.
Timoshenko, S. P. (1922). “X. On the transverse vibrations of bars of uniform cross-section.” Lond. Edinb. Dublin Philos. Mag. J. Sci., 43(253), 125–131.
Wang, Q., and Wu, N. (2012). “Optimal design of a piezoelectric coupled beam for power harvesting.” Smart Mater. Struct., 21(8), 085013.
Wu, J.-S., and Dai, C.-W. (1987). “Dynamic responses of multispan nonuniform beam due to moving loads.” J. Struct. Eng., 458–474.
Xie, X., and Wang, Q. (2015). “Energy harvesting from a vehicle suspension system.” Energy, 86(1), 385–392.
Xu, X., Xu, W., and Genin, J. (1997). “A non-linear moving mass problem.” J. Sound Vib., 204(3), 495–504.
Yavari, A., Nouri, M., and Mofid, M. (2002). “Discrete element analysis of dynamic response of Timoshenko beams under moving mass.” Adv. Eng. Software, 33(3), 143–153.
Ye, Z., and Chen, H. (2009). “Vibration analysis of a simply supported beam under moving mass based on moving finite element method.” Frontiers Mech. Eng. China, 4(4), 397–400.
Younesian, D., Kargarnovin, M. H., Thompson, D. J., and Jones, C. J. C. (2006). “Parametrically excited vibration of a Timoshenko beam on random viscoelastic foundation jected to a harmonic moving load.” Nonlinear Dyn, 45(1–2), 75–93.
Ziaei-Rad, S., Ariaei, A., and Imregun, M. (2007). “Vibration analysis of Timoshenko beams under uniform partially distributed moving masses.” Proc. Inst. Mech. Eng. Part K: J. Multi-body Dyn., 221(4), 551–566.
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Published In
Journal of Engineering Mechanics
Volume 143 • Issue 9 • September 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Jun 23, 2016
Accepted: Jan 27, 2017
Published ahead of print: Apr 18, 2017
Published online: Apr 19, 2017
Published in print: Sep 1, 2017
Discussion open until: Sep 19, 2017
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