The dynamic relaxation method using new formulation for fictitious mass and damping | Zendy

Mohammad RezaieePajand | Zendy; Javad Alamatian | Zendy

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The dynamic relaxation method using new formulation for fictitious mass and damping

Author(s) -

Mohammad RezaieePajand,

Javad Alamatian

Publication year - 2010

Publication title -

structural engineering and mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.647

H-Index - 58

eISSN - 1598-6217

pISSN - 1225-4568

DOI - 10.12989/sem.2010.34.1.109

Subject(s) - convergence (economics) , nonlinear system , relaxation (psychology) , finite element method , dynamic relaxation , displacement (psychology) , control theory (sociology) , mathematics , algorithm , rate of convergence , computer science , mathematical optimization , structural engineering , engineering , physics , key (lock) , artificial intelligence , geometry , psychology , social psychology , control (management) , computer security , quantum mechanics , economics , psychotherapist , economic growth

This paper addresses the modified Dynamic Relaxation algorithm, called mdDR by minimizing displacement error between two successive iterations. In the mdDR method, new relationships for fictitious mass and damping are presented. The results obtained from linear and nonlinear structural analysis, either by finite element or finite difference techniques; demonstrate the potential ability of the proposed scheme compared to the conventional DR algorithm. It is shown that the mdDR improves the convergence rate of Dynamic Relaxation method without any additional calculations, so that, the cost and computational time are decreased. Simplicity, high efficiency and automatic operations are the main merits of the proposed technique.

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