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An M ( M −1 K ) m proportional damping in explicit integration of dynamic structural systems
Author(s) -
Munjiza A.,
Owen D. R. J.,
Crook A. J. L.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19980415)41:7<1277::aid-nme335>3.0.co;2-9
Subject(s) - structural engineering , control theory (sociology) , physics , mathematics , computer science , engineering , artificial intelligence , control (management)
Algorithmic aspects of energy dissipation mechanisms of dynamic structural systems in conjunction with central difference time integration method are investigated and damping proportional to M ( M −1 K ) m (where K is the stiffness matrix, M is the mass matrix and m is a damping parameter) is proposed. Detailed algorithms for M ( M −1 K ) m proportional damping for the central difference time integration method are presented together with stability criteria and numerical test problems. © 1998 John Wiley & Sons, Ltd.