Modeling and analysis of piezoelectric beam with periodically variable cross-sections for vibration energy harvesting

• Published in: Applied mathematics and mechanics Vol. 37; no. 8; pp. 1053 - 1066
• Main Authors: Hajhosseini, M., Rafeeyan, M.
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.08.2016; Department of Mechanical Engineering, Yazd University, Yazd 89195-741, Iran
• Subjects: Applications of Mathematics; Classical Mechanics; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; O322; piezoelectric cantilever beam; 74K10; 74H45; vibration energy harvesting; generalized differential quadrature rule (GDQR); forced vibration analysis; periodically variable cross-section; 65D25; vibration band gap
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-016-2117-8

A bimorph piezoelectric beam with periodically variable cross-sections is used for the vibration energy harvesting. The effects of two geometrical parameters on the first band gap of this periodic beam are investigated by the generalized differential quadrature rule （GDQR） method. The GDQR method is also used to calculate the forced vibration response of the beam and voltage of each piezoelectric layer when the beam is subject to a sinusoidal base excitation. Results obtained from the analytical method are compared with those obtained from the finite element simulation with ANSYS, and good agreement is found. The voltage output of this periodic beam over its first band gap is calculated and compared with the voltage output of the uniform piezoelectric beam. It is concluded that this periodic beam has three advantages over the uniform piezoelectric beam, i.e., generating more voltage outputs over a wide frequency range, absorbing vibration, and being less weight.