Description

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 D'Alembert's principle; 1.6 Hamilton's principle; 1.7 Lagrange's equations; 1.8 Lagrange's 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 Kirchhoff's laws; 2.4 Hamilton's principle for electrical networks; 2.5 Lagrange's equations; 2.6 References; 3 Electromechanical Systems; 3.1 Introduction; 3.2 Constitutive relations for transducers; 3.3 Hamilton's Principle; 3.4 Lagrange's 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 Hamilton's principle; 4.9 Rosen's 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 Active damping via 1FF; 6.4 Admittance of the piezoelectric transducer; 6.5 Damping via resistive shunting; 6.6 Inductive shunting; 6.7 Decentralized control; 6.8 General piezoelectric structure; 6.9 Self-sensing; 6.10 Other active damping strategies; 6.11 Remark; 6.12 References; Bibliography; Index