Transfer Function Analysis of Constrained, Distributed Piezoelectric Vibration Energy Harvesting Beam Systems

[+] Author and Article Information
Chin An Tan

Department of Mechanical Engineering 5050 Anthony Wayne Drive, Wayne State University, Detroit, MI 48202, USA

Shahram Amoozegar

Graduate Student, Department of Mechanical Engineering 5050 Anthony Wayne Drive, Wayne State University, Detroit, MI 48202, USA

Heather L. Lai

Mechanical Engineering, Division of Engineering Programs SUNY at New Paltz, New York 12561, USA

1Corresponding author.

ASME doi:10.1115/1.4038949 History: Received August 02, 2017; Revised December 22, 2017


This paper presents a novel formulation and exact solution of the frequency response function of vibration energy harvesting beam systems by the distributed transfer function method. The method is applicable for coupled electromechanical systems with non-proportional damping, intermediate constraints, and non-classical boundary conditions, for which the system transfer functions are either very difficult or cumbersome to obtain using available methods. Such systems may offer new opportunities for optimized designs of energy harvesters via parameter tuning. The proposed formulation is also systematic and amenable to algorithmic numerical coding, allowing the system response and its derivatives to be computed by only simple modifications of the parameters in the system operators for different boundary conditions, and the incorporation of feedback control principles. Examples of piezoelectric energy harvesters with non-classical boundary conditions and intermediate constraints are presented to demonstrate the efficacy of the proposed method and its use as a design tool for vibration energy harvesters via tuning of system parameters. The results can also be used to provide benchmarks for assessing the accuracies of approximate techniques.

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