Abstract




 
   

IJE TRANSACTIONS B: Applications Vol. 19, No. 1 (December 2006) 11-22   

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  NONLINEAR ANALYSIS OF TRUSS STRUCTURES USING DYNAMIC RELAXATION (RESEARCH NOTE)
 
M. Rezaee Pajand* and M. Taghavian Hakkak

Department of Civil Engineering, Ferdowsi University of Mashhad
Mashhad, Iran, mrpajand@yahoo.com

*Corresponding Author

 
( Received: September 04, 2005 – Accepted in Revised Form: November 02, 2006 )
 
 

Abstract    This paper presents a new approach for large-deflection analysis of truss structures employing the Dynamic Relaxation method (DR). The typical formulation for DR has been established utilizing the finite difference technique which is categorized as an explicit method. The special characteristic of the explicit method is its simple algebraic relationships in comparison with complicated matrix operations in a finite element method. In this paper, a new procedure is developed using the Taylor series in order to reduce the number of iterations needed for convergence and consequently time and effort. Moreover, the validity of the proposed technique has been demonstrated by solving some truss structures with nonlinear behavior.

 

Keywords    Convergence, Higher Order, Nonlinear Analysis, Dynamic Relaxation, Truss, Large Displacement, Taylor Series

 

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