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Model reduction strategies for nonlinear beams subjected to large rotary actuations

Published online by Cambridge University Press:  03 February 2016

B. Stanford ,
P. Beran  and
M. Kurdi
B. Stanford
Affiliation:
[email protected], Air Vehicles Directorate, Air Force Research Laboratory, Wright Patterson AFB, USA
P. Beran
Affiliation:
[email protected], Air Vehicles Directorate, Air Force Research Laboratory, Wright Patterson AFB, USA
M. Kurdi
Affiliation:
[email protected], Air Vehicles Directorate, Air Force Research Laboratory, Wright Patterson AFB, USA
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Abstract

The solution to nonlinear structural dynamics problems with time marching schemes can be very expensive, particularly if the desired time-periodic response takes many cycles to form. Two cost reduction methods, which need not be considered separately, are formulated in this work. The first projects the nonlinear system of equations onto a reduced basis defined by a set of modes computed with proper orthogonal decomposition. The second utilises a monolithic time spectral element method, whereby the system of ordinary differential equations is converted into a single algebraic system of equations. The spectral element method can be formulated such that only the time-periodic response is computed. These techniques are implemented for a planar elastic beam, actuated at its base to emulate a flapping motion. Nonlinear elastic terms are computed with a corotational finite element method, while inertial terms are computed with a standard multibody dynamics formulation. For a variety of actuation frequencies and kinematic motions, results are given in terms of POD modes, reduced order model accuracy, and computational cost, for both the time marching and the monolithic time schemes.

Type
Research Article
Information
The Aeronautical Journal , Volume 113 , Issue 1150: Flight structures fundamental research in the United States of America: A Special Issue – PART II , December 2009 , pp. 751 - 762
Copyright
Copyright © Royal Aeronautical Society 2009 

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