Applications of Domain Partitioning on Vibration Problems Using the Dual BEM

• Main Authors: Jiang-Ren Chang, 張建仁
• Other Authors: Wei-Chung Yeih
• Format: Others
• Language: en_US
• Published: 1999
• Online Access: http://ndltd.ncl.edu.tw/handle/96264786650582428260

博士 === 國立海洋大學 === 河海工程學系 === 87 === In this dissertation, the alternatives of dual boundary element methods in conjunction with the domain partitioning have been proposed to solve the free vibration problems in one- and two-dimensional examples, and to solve the forced vibration problems in one-dimensional ones both for analytically and numerically. The results show that even the complex formulations of the dual boundary element methods are chose, the spurious eigenvalues and resonance arise when the domain partition is used and subsequent parallel treatments are needed. The causes and mechanism of those spurious phenomena are clearly illustrated by some well-designed worked examples analytically and numerically. Finally, the methods to filter out those spurious eigenvalues and resonance existing in the domain partitioning formats and subsequent iteration schemes for parallel treatments are also proposed here, respectively. The results of current dissertation deserve to be a clue for the dynamic analysis on the large or complicated structures when the parallel treatments are needed to introduce.