A study on time schemes for DRBEM analysis of elastic impact wave |
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Authors: | W Chen M Tanaka |
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Affiliation: | (1) Department of Mechanical Systems Engineering, Shinshu University, Wakasato 4-17-1, Nagano 380-8553, Japan e-mail: dtanaka@gipwc.shinshu-u.ac.jp, JP |
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Abstract: | The precise integration and differential quadrature methods are two new unconditionally stable numerical schemes to approximate
time derivative with more than the second order accuracy. Recent studies showed that compared with the Houbolt and Newmark
methods, they produced more accurate solutions with large time step for the problems where response is primarily dominated
by low and intermediate frequency modes. This paper aims to investigate these time schemes in the context of the dual reciprocity
BEM (DRBEM) formulation of various shock-excited scalar elastic wave problems, where high modes have important affect on traction
response. The Houbolt method was widely recommended in many literatures for such DRBEM dynamic formulations. However, this
study found that the damped Newmark algorithm was the most efficient and accurate for impact traction analysis in conjunction
with the DRBEM. The precise integration and differential quadrature methods are shown inapplicable for such shock-excited
problems due to the absence of numerical damping. On the other hand, we also found that to achieve the same order of accuracy,
the differential quadrature method required much less computing effort than the precise integration method due to the use
of the Bartels–Stewart algorithm solving the resulting Lyapunov matrix analogization equation.
Received 6 November 2000 |
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Keywords: | Plates Impact Time integration Boundary element method |
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