Linear/Nonlinear Piezoelectric Shell Energy Harvesters
Energy harvesting based on distributed piezoelectric laminated structures has been proposed and extensively investigated for over a decade. The objective of this study is to develop a generic distributed piezoelectric shell energy harvester theory based on a generic linear/nonlinear double-curvature shell, which can be simplified to account for many linear/nonlinear shell and non-shell type distributed energy harvesters. Distributed electromechanical coupling mechanism of the energy harvester was discussed; voltage and power output across the external resistive load of the shell energy harvester were evaluated. Those equations were explicitly expressed in terms of design parameters and modes. Once the intrinsic Lamé parameters and the curvature radii of the selected host structure are specified, one can simplify the piezoelectric energy harvesting equations to account for common shell and non-shell harvester structures. To demonstrate the simplifications, the generic piezoelectric shell energy harvesting mechanism was applied to a cantilever beam, a circular ring and a conical shell in cases studies. Again, the generic piezoelectric energy harvesting formulations derived from a double-curvature shell can be applied to many shell, e.g., ring shells, cylindrical shell, conical shells, paraboloidal shells, etc., and non-shell, e.g., plates, beams, etc., structures using two Lamé parameters and two curvature radii of the specified structures. Besides, these shell and non-shell structures can be either linear or nonlinear with the von Karman geometric nonlinearity. With given boundary conditions and external loading forces, generated voltage and power across the resistive load in the closed-circuit condition can be estimated for the distributed piezoelectric laminated structure.
The research was supported by the National Natural Science Foundation of China (11472241 & 11172262), the Nanjing University of Aeronautics and Astronautics Foundation (NUAA-NP2016203) and the State Key Laboratory of Mechanics and Control of Mechanical Structures (NUAA-MCMS-0516G01).
- Li, H., Hu, S.D. and Tzou, H.S., Z. B. Chen, Optimal vibration control of conical shells with collocated helical sensor/actuator pairs, Journal of Theoretical and Applied Mechanics 50 (2012) 769–784.Google Scholar
- Liu, X.J. and Chen, R.W., Current situation and developing trend of piezoelectric vibration energy harvesters, Journal of Vibration and Shock 31 (2012) 169–176.Google Scholar
- Meeker, T., ANSI/IEEE Standard on piezoelectricity, IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 43 (1996) 717–772.Google Scholar
- Rao, Z., Li, H. and Tzou, H.S., Breathing cylindrical piezoelectric energy harvesters, Proceedings of the 2011 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, pp. 506–509, 2011 SPAWDA, Shenzhen, 9–11 Dec. 2011.Google Scholar
- Soedel, W. Vibrations of Shells and Plates, Marcel Dekker, New York, 1993.Google Scholar
- Zhang, X.F.. Hu, S.D. and Tzou, H.S., Electromechanical coupling and energy harvesting of circular rings, Proceedings of the 2011 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, pp. 514–517, 2011 SPAWDA, Shenzhen, 9–11 Dec. 2011.Google Scholar