NDLI: Second order to second order balancing for index-1 vibrational systems

Content Provider	IEEE Xplore Digital Library
Author	Benner, P. Saak, J. Uddin, M.M.
Copyright Year	2012
Description	Author affiliation: Computational Methods in Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstraße 1, D-39106 Magdeburg, Germany (Benner, P.; Saak, J.; Uddin, M.M.)
Abstract	Linearizing constraint equations of motion around equilibrium points in mechanics or coupling electrical and mechanical parts in mechatronics one obtains large sparse second-order index-1 differential algebraic (DAE) models. To get reduced order models of such systems, first they can be rewritten into first-order models. Then, model reduction techniques are applied to these first order representations to get a reduced first-order index-1 or standard state space model. Unfortunately, it is not possible to go back to second order formulation from these reduced systems, though it is often desirable to work with second order surrogate models. In this paper, we present algorithms to retrieve reduced index-1 DAE or standard second order ODE systems and apply these to a micro-mechanical piezo-actuated structural FEM model of a certain building block of a machine tool. Numerical results illustrate the efficiency of the techniques.
Starting Page	933
Ending Page	936
File Size	491031
Page Count	4
File Format	PDF
ISBN	9781467314343
e-ISBN	9781467314367
DOI	10.1109/ICECE.2012.6471704
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-20
Publisher Place	Bangladesh
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Reduced order systems Mathematical model Read only memory Equations Computational modeling Numerical models Finite element analysis ADI-methods piezo actuator second order index-1 systems model reduction balanced truncation
Content Type	Text
Resource Type	Article

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