Vibration control of a flexible beam with shaped piezoelectric films

Tsutomu Nishigaki

doi:10.1117/12.815918

30 March 2009 Vibration control of a flexible beam with shaped piezoelectric films

Tsutomu Nishigaki

Proceedings Volume 7292, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2009; 72922H (2009) https://doi.org/10.1117/12.815918
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2009, San Diego, California, United States

Abstract

Using direct and inverse piezoelectric effects of high-polymer piezoelectric films simultaneously, flexible structures are expected to be realized which possess vibration damping ability and are able to behave actively and autonomously such as biological systems. However, conventional studies have been limited to either developing high order controller in conjunction with sensor/actuator of basic shaping or developing sensor/actuator of complicated shaping function in conjunction with simple controller. In this paper, a new shaping design method of distributed piezoelectric film sensor/actuator for vibration control of flexible beams is proposed. At first, fundamental equations are derived, and a new shaping method in which the shaping function is described by the superposition of the modal strain functions is proposed. In the proposed method, the weighting coefficient is determined by a reciprocal of the cube of wavenumber. It is proved that in the case of simply supported beam, one example of the proposed shaping function is reduced to the conventional triangular shaping function. Numerical examples of designed shaping function for a simply supported beam and a cantilever beam are shown for single mode, multi mode and all mode sensor/actuator.

Citation Download Citation

Tsutomu Nishigaki "Vibration control of a flexible beam with shaped piezoelectric films", Proc. SPIE 7292, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2009, 72922H (30 March 2009); https://doi.org/10.1117/12.815918

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