By A. Preumont
This quantity treats Lagrange equations for electromechanical platforms, together with piezoelectric transducers and chosen functions. it truly is basically an extension to piezoelectric structures of the paintings by way of Crandall et al.:"Dynamics of Mechanical and Electromechanical Systems", McGraw-Hill, released in 1968. the 1st 3 chapters comprise classical fabric in line with this and different recognized common texts within the box, equivalent to Methods of Analytical Dynamics by means of L. Meirovitch, McGraw-Hill, 1970. a few functions are new (e.g. geophone). Chapters four to six encompass new fabric which has now not been released in a monograph sooner than. They take care of piezoelectric structures in a unified method, ranging from a Lagrangian procedure. This booklet will attract the examine neighborhood and graduate scholars on the MSc and PhD point.
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Extra info for Mechatronics: Dynamics of Electromechanical and Piezoelectric Systems
This reflects the fact that the electric potential at any point is independent of the path followed to reach that point. 4 Hamilton’s principle for electrical networks 47 1. Requirements on current variables ik (coming from KCR), which can be expressed alternatively with charge variables qk satisfying dqk = ik dt 2. Requirements on voltage variables, ek (coming from KVR), which can be expressed alternatively with flux linkage variables λk satisfying dλk = ek dt 3. The constitutive equations of individual elements.
Classical Mechanics, Second Edition, Addison-Wesley, 1980. , Methods of Analytical Dynamics, McGraw-Hill, 1970. , Energy and Variational Methods in Applied Mechanics, Wiley, 1984. , Fundamentals of Applied Dynamics, Wiley, 1996. 1 Introduction Electrical networks are constituted of passive elements such as resistors, capacitors and inductors, and active ones such as voltage and current sources. The interconnection constraints on electrical networks are represented by Kirchhoff’s rules: Kirchhoff’s current rule (KCR) stipulates that no electrical charge can accumulate at a node in the network : the algebraic sum of the currents entering any node must be zero.
34) where Ek is the generalized voltage associated with the generalized charge coordinate qk .