Conference paper
Stochastic micro-vibration response of a spherically symmetric piezoelectric shell structure as sensor
Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China1
The micro-vibration monitoring and control of vibration-sensitive precision facilities are important and the accurate measurement of micro-vibrations is necessary. The piezoelectric sensors such as piezoelectric shell structure have better electrical-mechanical coupling properties and less effect of bulk and weight.
This paper studies the response characteristics of an interceptive spherical piezoelectric shell under stochastic boundary micro-vibration excitations. The equation for electric potential is integrated, and the displacement is transformed and expanded to yield the ordinary differential equations for the shell.
The frequency-response function, power spectral density and correlation function matrices of the shell system response are derived. Then the root-mean-square displacement, stress and electric potential of the piezoelectric shell can be calculated. The numerical results are given to illustrate the stochastic electrical-mechanical coupling properties and the relation between boundary electric potential responses and micro-vibration excitations.
Language: | English |
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Year: | 2011 |
Pages: | 1-4 |
Proceedings: | 2011 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA 2011) |
ISBN: | 1467310751 , 1467310778 , 1467310786 , 9781467310758 , 9781467310772 and 9781467310789 |
Types: | Conference paper |
DOI: | 10.1109/SPAWDA.2011.6167176 |
Correlation Couplings Differential equations Electric potential Micro-vibration excitation Monitoring Piezoelectric spherical shell Stochastic response Stress Vibrations correlation function matrix correlation theory differential equations displacement transformation electric potential electric potential equation frequency response frequency-response function interceptive spherically symmetric piezoelectric sensor shell structure matrix algebra microvibration control microvibration measurement microvibration monitoring ordinary differential equation piezoelectric sensors piezoelectric transducers power spectral density root-mean-square displacement stochastic boundary microvibration response excitation stochastic electrical-mechanical coupling property stochastic processes vibration control vibration measurement vibration-sensitive precision facility