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Structural Engineering and Mechanics
  Volume 28, Number 5, March30 2008, pages 549-570
DOI: http://dx.doi.org/10.12989/sem.2008.28.5.549
 


Nonlinear dynamic analysis by Dynamic Relaxation method
M. Rezaiee-Pajand and J. Alamatian

 
Abstract
    Numerical integration is an efficient approach for nonlinear dynamic analysis. In this paper, general category of the implicit integration errors will be discussed. In order to decrease the errors, Dynamic Relaxation method with modified time step (MFT) will be used. This procedure leads to an alternative algorithm which is very general and can be utilized with any implicit integration scheme. For numerical verification of the proposed technique, some single and multi degrees of freedom nonlinear dynamic systems will be analyzed. Moreover, results are compared with both exact and other available solutions. Suitable accuracy, high efficiency, simplicity, vector operations and automatic procedures are the main merits of the new algorithm in solving nonlinear dynamic problems.
 
Key Words
    Modified Dynamic Relaxation; implicit time integration; nonlinear dynamic analysis.
 
Address
M. Rezaiee-Pajand and J. Alamatian: Dept. of Civil Engineering, Ferdowsi University, P. O. Box 91775-1111, Mashhad, Iran
 

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