@inproceedings{591c52ea276f434e816ed1f7729b487c,
title = "Reduction methods for MEMS nonlinear dynamic analysis",
abstract = "Practical MEMS applications feature non-linear effects that are important to be realistically simulated. This typically involves large dynamic non-linear finite element (FE) models, and therefore efficient model reduction techniques are of great need. Proper Orthogonal Decomposition (POD) is a well-known technique for the effective order reduction of large dynamic (non-linear) systems. POD does not require any knowledge of the system at hand but features the disadvantage of the need of running a full simulation to extract the reduction basis. On the other hand, a basis constituted by few vibration modes enriched with modal derivatives (MD) can describe the main effect of nonlinearity without the need of a full model solution. We present a comparison of the two described reduction methods (POD and MD) applied to a geometircally non-linear micro-beam subjected to electrostatic forces.",
keywords = "Finite element, MEMS, Modal derivatives, Model order reduction, Non-linear dynamics, Proper orthogonal decomposition",
author = "Paolo Tiso and Rixen, {Daniel J.}",
year = "2011",
doi = "10.1007/978-1-4419-9719-7_6",
language = "English",
isbn = "9781441997180",
series = "Conference Proceedings of the Society for Experimental Mechanics Series",
publisher = "Springer New York LLC",
pages = "53--65",
booktitle = "Nonlinear Modeling and Applications - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010",
}