Chinese Journal of Theoretical and Applied Mechani ›› 2009, Vol. 41 ›› Issue (2): 207-215.DOI: 10.6052/0459-1879-2009-2-2007-404

• Research paper • Previous Articles     Next Articles

A novel high-order spring-dashpot-mass boundary for cylindrical-symmetry wave motions in infinite domain

Xiuli Du Mi Zhao   

  1. Key Lab. for Urban Security & Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100022, China Key Lab. for Urban Security & Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100022, China
  • Received:2007-08-29 Revised:2008-06-18 Online:2009-03-25 Published:2009-03-25

Abstract: A novel high-order spring-dashpot-mass model (SDMM) for convolution integral of force-displacement relationship in time domain is proposed and applied into the cylindrical-symmetry wave motions in infinite domain as an artificial boundary condition (ABC). First, the high-order SDMM is dynamically and numerically stable, while low- and high-frequency instabilities occur under the displacement-type ABCs in term of space-time extrapolation, such as multi-transmitting formula (MTF) and Pad\'{e} boundary. Second, SDMM has higher numerical accuracy than the stress-type ABCs, such as viscous boundary (VB) and viscous-spring boundary (VSB). Third, SDMM is strictly doubly asymptotic at low- and high-frequency limits, and can be degenerated to VB or VSB. Fourth, SDMM can be incorporated simply and easily into commercial FE software by using the internal spring-dashpot and mass elements and time-integration solvers. Several numerical cases were carried out to validate the particular features of SDMM.

Key words: infinite domain, artificial boundary condition, spring-dashpot-mass model, high order, cylindrical-symmtry wave motion