On the combination of asymptotic and direct approaches to the modeling of plates with piezoelectric actuators and sensors

Yury Vetyukov; Michael Krommer

doi:10.1117/12.847521

31 March 2010 On the combination of asymptotic and direct approaches to the modeling of plates with piezoelectric actuators and sensors

Yury Vetyukov, Michael Krommer

Author Affiliations +

Proceedings Volume 7647, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2010; 76472O (2010) https://doi.org/10.1117/12.847521
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2010, San Diego, California, United States

Abstract

We suggest a method for the mathematical modeling of the response of a thin structure with integrated piezoelectric sensors and actuators under mechanical and electrical loads. The plate with attached piezoelectric patches is considered as a two-dimensional material surface with mechanical and electrical degrees of freedom of particles. The model is complemented with an asymptotic analysis of the three-dimensional problem. For the equations of a layered piezoelectric plate, we seek those terms in the solution, which dominate as the thickness tends to zero. The results serve as a basis for the analysis of geometrically nonlinear shell structures as well as for model-based monitoring and optimal sensor and actuator placement.

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Yury Vetyukov and Michael Krommer "On the combination of asymptotic and direct approaches to the modeling of plates with piezoelectric actuators and sensors", Proc. SPIE 7647, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2010, 76472O (31 March 2010); https://doi.org/10.1117/12.847521

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