## 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 language | English (US) |
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Title of host publication | 15th Biennial Conference on Mechanical Vibration and Noise |

Editors | K.W. Wang, B. Yang, J.Q. Sun, K. Seto, K. Yoshida, al et al |

Pages | 881-900 |

Number of pages | 20 |

Volume | 84 |

Edition | 3 Pt B/2 |

State | Published - Dec 1 1995 |

Event | Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C - Boston, MA, USA Duration: Sep 17 1995 → Sep 20 1995 |

### Other

Other | Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C |
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City | Boston, MA, USA |

Period | 9/17/95 → 9/20/95 |

## ASJC Scopus subject areas

- General Engineering