Piezoelectric materials are excellent transducers for converting mechanical energy from the environment for use as electrical energy. The conversion of mechanical energy to electrical energy is a key component in the development of self-powered devices, especially enabling technology for wireless sensor networks. This paper proposes an alternative method for predicting the power output of a bimorph cantilever beam using a finite-element method for both static and dynamic frequency analyses. A novel approach is presented for optimising the cantilever beam, by which the power density is maximised and the structural volume is minimised simultaneously. A two-stage optimisation is performed, i.e., a shape optimisation and then a “topology” hole opening optimisation.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Tax calculation will be finalised during checkout.
Gilbert JM, Balouchi F (2008) Comparison of energy harvesting systems for wireless sensor networks. Int J Autom Comput 5(4):334–347
Roundy S, Steingart D, Frechette L, Wright P, Rabaey J (2004) Power Source for Wireless Sensor Networks. Lecture Notes in Computer Science, Springer-Verlag 2920:1–17
Roundy S (2003) Energy scavenging for wireless sensor nodes with a focus on vibration to electricity conversion, PhD thesis. University of California Berkeley
Miller LM, Emley NC, Shafer P, Wright PK (2008) Strain enhancement within cantilevered. Piezoelectric MEMS vibrational energy scavenging devices, advances in science and technology. Smart Mater Mico/Nanosyst 54:405–410
Roundy S (2005) On the effectiveness of vibration-based energy harvesting. J Intell Mater Syst Struct 16:809–823
Mateu L, Moll F (2005) Optimum piezoelectric bending beam structures for energy harvesting using shoe inserts. J Intell Mater Syst Struct 16:835–845
Simon P, Yves SA (2009) Electromechanical performances of different shapes of piezoelectric energy harvesters. international workshop smart materials and structures. Montreal
Dhakar L, Liu H, Tay FEH, Lee C (2013) A new energy harvester design for high power output at low frequencies. Sens Actuators 199:344–352
Xu SX, Koko TS (2004) Finite element analysis and design of actively controlled piezoelectric smart structures. Finite Element Anal Design 40(3):241–262
Liu JS, Hollaway L (2000) Design optimisation of composite panel structures with stiffening ribs under multiple loading cases. Comput Struct 78(4):637–647
Liu JS, Lu TJ (2004) Multi-objective and multi-loading optimization of ultralightweight truss materials. Int J Solids Struct 41:619–635
Thein CK, Liu JS (2012) Effective structural sizing/shape optimisation through a reliability-related multifactor optimisation approach. Multidiscipline Model Mater Struct 8(2):159–177
Liu JS, Thompson G (1996) The multi-factor design evaluation of antenna structures by parameters profile analysis. J Engng Manufac Proc Inst Mech Eng 210(B5):449–456
Ikeda T (1996) Fundamentals of piezoelectricity, Oxford science publications. Oxford
Thein CK, Ooi BL, Liu JS, Gilbert JM (2016) Modelling and optimisation of a bimorph piezoelectric cantilever beam in an energy harvesting application. J Eng Sci Technol 11(2):212–227
Gallas Q, Wang G, Papila M, Sheplak M, Cattafesta L (2003) Optimization of synthetic jet actuators, 41st AIAA Aerospace Sciences Meeting and Exhibit, Reno. (2003) AIAA-2003-0635
Piezo System, Inc. CATALOG #7C (2008), available online at http://www.piezo.com/catalog.html, [accessed on 31st July 2009]
Bert CW, Birman V (1998) Effects of stress and electric field on the coefficients of piezoelectric materials: one-dimensional formulation. Mech Res Commun 25(2):165–169
About this article
Cite this article
Thein, C.K., Liu, JS. Numerical modeling of shape and topology optimisation of a piezoelectric cantilever beam in an energy-harvesting sensor. Engineering with Computers 33, 137–148 (2017). https://doi.org/10.1007/s00366-016-0460-3
- Multi-disciplinary optimisation
- Shape and topology optimisation
- Energy harvesting
- Bimorph cantilever beam