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Consider an electromechanical system consisting of an RC circuit, a piezoelectric element, and a mass- spring-damper, as shown in the following figure. The system input is the voltage source Vs, which drives the RC circuit and produces a capacitor voltage ve. The capacitor voltage ve, in turn, drives the piezoelectric element and produces a mechanical displacement d1, which is linearly related to ve through di = p Ver where p is a positive constant. The displacement di finally drives the mass-spring-damper and produces a displacement d2 in the mass, which is the system output. Obtain a state-space representation of the system. di d2 R. Piezoelectric ...... k2 Element di ki Vc IVe 커 di=pve b. Vs

Consider an electromechanical system consisting of an RC circuit, a piezoelectric element, and a mass- spring-damper, as shown in the following figure. The system input is the voltage source Vs, which drives the RC circuit and produces a capacitor voltage ve. The capacitor voltage ve, in turn, drives the piezoelectric element and produces a mechanical displacement d1, which is linearly related to ve through di = p Ver where p is a positive constant. The displacement di finally drives the mass-spring-damper and produces a displacement d2 in the mass, which is the system output. Obtain a state-space representation of the system. di d2 R. Piezoelectric ...... k2 Element di ki Vc IVe 커 di=pve b. Vs

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Consider an electromechanical system consisting of an RC circuit, a piezoelectric element, and a mass- spring-damper, as shown in the following figure. The system input is the voltage source vs, which drives the RC circuit and produces a capacitor voltage ve. The capacitor voltage ve, in turn, drives the piezoelectric element and produces a mechanical displacement d1, which is linearly related to ve through di = p - Ves where p is a positive constant. The displacement di finally drives the mass-spring-damper and produces a displacement d2 in the mass, which is the system output. Obtain a state-space representation of the system. di Piezoelectric Element R k2 ki di - di = p'Vc Ve Vs Ve m b.
Transcribed Image Text:Consider an electromechanical system consisting of an RC circuit, a piezoelectric element, and a mass- spring-damper, as shown in the following figure. The system input is the voltage source vs, which drives the RC circuit and produces a capacitor voltage ve. The capacitor voltage ve, in turn, drives the piezoelectric element and produces a mechanical displacement d1, which is linearly related to ve through di = p - Ves where p is a positive constant. The displacement di finally drives the mass-spring-damper and produces a displacement d2 in the mass, which is the system output. Obtain a state-space representation of the system. di Piezoelectric Element R k2 ki di - di = p'Vc Ve Vs Ve m b.
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