Title: A refined use of the residue theorem for the evaluation of band-averaged input power into linear second-order dynamic systems
Authors: D'Amico, Roberto ×
Huybrechs, Daan
Desmet, Wim #
Issue Date: 17-Mar-2014
Publisher: Academic Press
Series Title: Journal of Sound and Vibration vol:333 issue:6 pages:1796-1817
Abstract: In a recent work, a strategy was proposed which exploits the residue theorem as an efficient tool for evaluating the frequency averaged input power into vibrating systems. In this paper, such a technique is generalised and further insight and improvements are presented.

Evaluating band-averages requires the solution of a weighted integral over a real frequency variable. In this paper, the integration path is moved to the complex plane, where the input mobility shows a smoother behaviour. Consequently, a smaller number of quadrature points are needed to perform an accurate integration, which leads to a significant reduction of computational time. In addition, the connection between the use of quadrature rules in the complex plane and weighting functions on real frequencies is considered.

Two application examples prove the accuracy of the present strategy for different quadrature rules. Adaptive integration schemes are also investigated.
ISSN: 0022-460X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Production Engineering, Machine Design and Automation (PMA) Section
Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

Files in This Item:
File Description Status SizeFormat
final_version.pdf Published 1690KbAdobe PDFView/Open Request a copy

These files are only available to some KU Leuven Association staff members


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science