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Computer Science > Computational Engineering, Finance, and Science

arXiv:1903.12303 (cs)
[Submitted on 28 Mar 2019]

Title:Nonlinear Moment Matching for the Simulation-Free Reduction of Structural Systems

Authors:Maria Cruz Varona, Nico Schneucker, Boris Lohmann
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Abstract:This paper transfers the concept of moment matching to nonlinear structural systems and further provides a simulation-free reduction scheme for such nonlinear second-order models. After first presenting the steady-state interpretation of linear moment matching, we then extend this reduction concept to the nonlinear second-order case based on Astolfi [2010]. Then, similar simplifications as in Cruz Varona et al. [2019] are proposed to achieve a simulation-free nonlinear moment matching algorithm. A discussion on the simplifications and their limitations is presented, as well as a numerical example which illustrates the efficiency of the algorithm.
Comments: 7 pages, 3 figures; short version arXiv:1901.10750 submitted to NOLCOS 2019; this https URL
Subjects: Computational Engineering, Finance, and Science (cs.CE); Systems and Control (eess.SY); Dynamical Systems (math.DS); Numerical Analysis (math.NA)
Cite as: arXiv:1903.12303 [cs.CE]
  (or arXiv:1903.12303v1 [cs.CE] for this version)
  https://doi.org/10.48550/arXiv.1903.12303

Submission history

From: Maria Cruz Varona [view email]
[v1] Thu, 28 Mar 2019 16:43:49 UTC (700 KB)
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