| FUNDAMENTAL PROBLEMS IN FINITE ELEMENT SIMULATION OF WAVE MOTION |
| |
| 引用本文： | 廖振鹏,刘晶波. FUNDAMENTAL PROBLEMS IN FINITE ELEMENT SIMULATION OF WAVE MOTION[J]. 中国科学B辑(英文版), 1992, 0(11) |
| |
| 作者姓名： | 廖振鹏 刘晶波 |
| |
| 作者单位： | Institute of Engineering Mechanics，SSB，Harbin 150080，PRC，Institute of Engineering Mechanics，SSB，Harbin 150080，PRC |
| |
| 摘 要： | The transmitting boundary condition is written in a compact form, which can be direct-ly incorporated into finite elements. Basic characteristics of discretization are analyzed throughstudies on wave motion in a one-dimensional discrete model and their differences from those in thecorresponding continuum. Tbe analysis leads to identifying a frequency band within which thesimulation is possible, and to a suggestion of using the lumped-mass finite element model forthe simulation. Mechanism of the oscillation instability is then illuminated in the frequencydomain by amplification at the artificial boundary and multi-reflection of wave motion in afinite discrete model. Based on understanding of the mechanism, a modified transmittingboundary condition is devised for eliminating the instability. The special stability criterion forthe modified boundary is finally presented for the one-dimensional model.
|
FUNDAMENTAL PROBLEMS IN FINITE ELEMENT SIMULATION OF WAVE MOTION |
| |
| LIAO ZHEN-PENG,LIU JING-PO Institute of Engineering Mechanics,SSB,Harbin ,PRC. FUNDAMENTAL PROBLEMS IN FINITE ELEMENT SIMULATION OF WAVE MOTION[J]. Science in China(Chemistry), 1992, 0(11) |
| |
| Authors: | LIAO ZHEN-PENG LIU JING-PO Institute of Engineering Mechanics SSB Harbin PRC |
| |
| Affiliation: | LIAO ZHEN-PENG,LIU JING-PO Institute of Engineering Mechanics,SSB,Harbin 150080,PRC |
| |
| Abstract: | The transmitting boundary condition is written in a compact form, which can be direct-ly incorporated into finite elements. Basic characteristics of discretization are analyzed throughstudies on wave motion in a one-dimensional discrete model and their differences from those in thecorresponding continuum. Tbe analysis leads to identifying a frequency band within which thesimulation is possible, and to a suggestion of using the lumped-mass finite element model forthe simulation. Mechanism of the oscillation instability is then illuminated in the frequencydomain by amplification at the artificial boundary and multi-reflection of wave motion in afinite discrete model. Based on understanding of the mechanism, a modified transmittingboundary condition is devised for eliminating the instability. The special stability criterion forthe modified boundary is finally presented for the one-dimensional model. |
| |
| Keywords: | wave motion finite element artificial boundary instability |
| 本文献已被 CNKI 等数据库收录！ |
