Journal
SCIENCE CHINA-TECHNOLOGICAL SCIENCES
Volume 58, Issue 9, Pages 1558-1566Publisher
SCIENCE PRESS
DOI: 10.1007/s11431-015-5893-1
Keywords
DDA; time integration scheme; performance analysis; critical kinetic damping
Funding
- Fundamental Research Funds for Central Public Welfare Research Institutes [CKSF2014053/CL]
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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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