Determination of dynamic pressure on infinite piezoelectric hollow cylinder from electric potential difference measurement |
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| Authors: | HM Wang HJ Ding |
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| Affiliation: | 1. Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, P.R. China;2. Department of Civil Engineering, College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, P.R. China |
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| Abstract: | An analytical method is developed for evaluating the dynamic pressure acted at the surface of infinite piezoelectric hollow cylinder by measuring the electric potential difference between the internal and external surfaces. By virtue of the separation of variables method and the orthogonal expansion technique, the inverse boundary problem is transformed to a second kind Volterra integral equation about the unknown dynamic pressure. The interpolation method is employed to solve the integral equation and the dynamic pressure is determined. The present method is suitable for the hollow cylinder with arbitrary thickness subjected to arbitrary dynamic pressure. Numerical experiments are also presented. |
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| Keywords: | Piezoelectric hollow cylinder Dynamic pressure Inverse problem Volterra integral equation |
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