Title: Structural dynamic analysis at higher frequencies using plane wave and moving least square approximations

Authors: Xiaobo Liu, Ronald L. Huston

Addresses: Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, Cincinnati, OH 45221, USA. ' Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, Cincinnati, OH 45221, USA

Abstract: A new method is presented for the numerical solution of structural dynamics problems at higher frequencies. This method combines the advantages of plane wave and moving least square approximations, and it naturally embeds the spectral information into the discrete system of equations. With a much coarser discretisation of the problem domain, the new method can achieve the same or higher accuracy compared to conventional finite element method. Numerical examples are presented to demonstrate the use and effectiveness of the new method.

Keywords: plane waves; moving least squares; MLS approximation; numerical methods; structural dynamics; higher frequencies.

DOI: 10.1504/IJVNV.2010.034811

International Journal of Vehicle Noise and Vibration, 2010 Vol.6 No.1, pp.55 - 72

Available online: 23 Aug 2010 *

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