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Performance of DDA time integration

Authors
  • Lin, ShaoZhong1, 2, 3
  • Xie, ZhiQiang1, 2, 3
  • 1 Changjiang River Scientific Research Institute, Wuhan, 430010, China , Wuhan (China)
  • 2 Research Center on Water Engineering Safety and Disaster Prevention of MWR, Wuhan, 430010, China , Wuhan (China)
  • 3 DDA Center of Changjiang River Scientific Research Institute, Wuhan, 430010, China , Wuhan (China)
Type
Published Article
Journal
Science China Technological Sciences
Publisher
Science China Press
Publication Date
Jul 28, 2015
Volume
58
Issue
9
Pages
1558–1566
Identifiers
DOI: 10.1007/s11431-015-5893-1
Source
Springer Nature
Keywords
License
Yellow

Abstract

Discontinuous deformation analysis (DDA) is a numerical method for analyzing the deformation of block system. It employs unified dynamic formulation for both static and dynamic analysis, in which the so-called kinetic damping is adopted for absorbing dynamic energy. The DDA dynamic equations are integrated directly by the constant acceleration algorithm of Newmark family integrators. In order to have an insight into the DDA time integration scheme, the performance of Newmark time integration scheme for dynamic equations with kinetic damping is systematically investigated, formulae of stability, bifurcation, spectral radius, critical kinetic damping and algorithmic damping are presented. Combining with numerical examples, recognition and suggestions of Newmark integration scheme application in the DDA static and dynamic analysis are proposed.

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