A harmonic balance approach for large-scale problems in nonlinear structural dynamics

Authors:
A. LaBryer;P. J. Attar
Affiliations:
University of Oklahoma, Norman, OK 73019, United States;University of Oklahoma, Norman, OK 73019, United States
Venue:
Computers and Structures
Year:
2010

Citing 6
Cited 1

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Adaptive harmonic balance method for nonlinear time-periodic flows

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Abstract

Harmonic balance (HB) methods allow for rapid computation of time-periodic solutions for nonlinear dynamical systems. We present a filtered high dimensional harmonic balance (HDHB) approach, which operates in the time domain, and provide a framework for implementation into an existing finite element solver. To demonstrate its capabilities, the method is used to solve a set of nonlinear structural dynamics problems related to the field of flapping flight. For each example, the HDHB approach produces accurate steady-state solutions orders of magnitude faster than a traditional time-marching scheme.