Mechatronics Dynamics of Electromechanical and Piezoelectric Systems [Paperback]

This volume treats Lagrange equations for electromechanical systems, including piezoelectric transducers and selected applications. It is essentially an extension to piezoelectric systems of the work by Crandall et al.: Dynamics of Mechanical and Electromechanical Systems , published in 1968. The first three chapters contain classical material based on this and other well known standard texts in the field. Some applications are new and include material not published in a monograph before.

Lagrangian dynamics of mechanical systems; 1.1 Introduction; 1.2 Kinetic state functions; 1.3 Generalized coordinates, kinematic constraints; 1.4 The principle of virtual work; 1.5 DAlemberts principle; 1.6 Hamiltons principle; 1.7 Lagranges equations; 1.8 Lagranges equations with constraints; 1.9 Conservation laws; 1.10 More on continuous systems; 1.11 References; 2 Dynamics of electrical networks; 2.1 Introduction; 2.2 Constitutive equations for circuit elements; 2.3 Kirchhoffs laws; 2.4 Hamiltons principle for electrical networks; 2.5 Lagranges equations; 2.6 References; 3 Electromechanical Systems; 3.1 Introduction; 3.2 Constitutive relations for transducers; 3.3 Hamiltons Principle; 3.4 Lagranges equations; 3.5 Examples; 3.6 General electromechanical transducer; 3.7 References; 4 Piezoelectric Systems; 4.1 Introduction; 4.2 Piezoelectric transducer; 4.3 Constitutive relations of a discrete transducer; 4.4 Structure with a discrete piezoelectric transducer; 4.5 Multiple transducer systems; 4.6 General piezoelectric structure; 4.7 Piezoelectric material; 4.8 Hamiltons principle; 4.9 Rosens piezoelectric transformer; 4. 10 References; 5 Piezoelectric laminates; 5.1 Piezoelectric beam actuator; 5.2 Laminar sensor; 5.3 Spatial modal filters; 5.4 Active beam with collocated actuator-sensor ; 5.5 Piezoelectric laminates; 5.6 References; 6 Active and Passive Damping with Piezoelectric; Transducers; 6.1 Introduction; 6.2 Active strut, open-loop FRF; 6.3 Alc