Multiresolution reproducing kernel particle methods in acoustic problems

Wing K Liu*, C. T. Chang, Y. Chen, R. A. Uras

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

11 Scopus citations

Abstract

In the analysis of complex phenomena of acoustic systems, the computational modeling requires special attention for a realistic representation of the physics. As a powerful tool, the finite element method has been widely used in the study of complex systems. In order to capture the important physical phenomena, p-finite elements and/or hp-finite elements are employed. The reproducing kernel particle methods(RKPM) are emerging as an effective alternative due to the elimination of a mesh, and the ability to analyze a specific frequency range. Additionally, a wavelet particle method based on the multiresolution analysis encountered in signal processing has been developed. The interpolation functions consist of spline functions with built-in window. A variation in the size of the window implies a geometrical refinement, and allows the filtering of the desired frequency range. Preliminary analysis of the wave equation shows the effectiveness of this approach. The frequency/wave number relationship of the continuum case can be closely simulated by using the reproducing kernel particle methods. A similar methodology is also developed for the Timoshenko beam.

Original languageEnglish (US)
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise
EditorsK.W. Wang, B. Yang, J.Q. Sun, K. Seto, K. Yoshida, al et al
Pages881-900
Number of pages20
Volume84
Edition3 Pt B/2
StatePublished - Dec 1 1995
EventProceedings of the 1995 ASME Design Engineering Technical Conference. Part C - Boston, MA, USA
Duration: Sep 17 1995Sep 20 1995

Other

OtherProceedings of the 1995 ASME Design Engineering Technical Conference. Part C
CityBoston, MA, USA
Period9/17/959/20/95

ASJC Scopus subject areas

  • Engineering(all)

Fingerprint Dive into the research topics of 'Multiresolution reproducing kernel particle methods in acoustic problems'. Together they form a unique fingerprint.

Cite this