NDLI: Power and energy as systemic properties — Part II: Mechanical systems

Content Provider	IEEE Xplore Digital Library
Author	Willems, J.C.
Copyright Year	2013
Description	Author affiliation: ESAT/SISTA, K.U. Leuven, Leuven, Belgium (Willems, J.C.)
Abstract	We consider mechanical systems with external terminals and on each terminal a force acting and the position. This paper is a companion paper to work of Willems (2013) which deals with electrical circuits. The central question asked is what the power and the energy is delivered from the environment to the mechanical system. We show that power and energy are well defined concepts only when the set of interacting terminals form a port, that is, when the sum of the forces acting on the terminals is zero. We show that the classical mechanical building blocks, as a spring, a damper, a connector, and an inerter are ports, but that a mass is not a port. This is in contrast with electrical circuits, where all the classical building blocks are ports. We also examine the energy stored in mechanical systems, and derive a formula for the motion energy stored in a set of moving masses. We finally contrast Lagrangian dynamics with modeling using the `tearing, zooming, and linking' methodology.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	175
Ending Page	181
File Size	389643
Page Count	7
File Format	PDF
ISBN	9781467357142
ISSN	07431546
e-ISBN	9781467357173
DOI	10.1109/CDC.2013.6759878
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-10
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mechanical systems Shock absorbers Force Springs Equations Connectors Mathematical model Lagrangian dynamics Energy inertial invariance mechanical port force
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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