Loading...

Iterative implicit integration procedure for hybrid simulation of large nonlinear structures

Mosqueda, G ; Sharif University of Technology | 2011

766 Viewed
  1. Type of Document: Article
  2. DOI: 10.1002/eqe.1066
  3. Publisher: 2011
  4. Abstract:
  5. A fully implicit iterative integration procedure is presented for local and geographically distributed hybrid simulation of the seismic response of complex structural systems with distributed nonlinear behavior. The purpose of this procedure is to seamlessly incorporate experimental elements in simulations using existing fully implicit integration algorithms designed for pure numerical simulations. The difficulties of implementing implicit integrators in a hybrid simulation are addressed at the element level by introducing a safe iteration strategy and using an efficient procedure for online estimation of the experimental tangent stiffness matrix. In order to avoid physical application of iterative displacements, the required experimental restoring force at each iteration is estimated from polynomial curve fitting of recent experimental measurements. The experimental tangent stiffness matrix is estimated by using readily available experimental measurements and by a classical diagonalization approach that reduces the number of unknowns in the matrix. Numerical and hybrid simulations are used to demonstrate that the proposed procedure provides an efficient method for implementation of fully implicit numerical integration in hybrid simulations of complex nonlinear structures. The hybrid simulations presented include distributed nonlinear behavior in both the numerical and experimental substructures
  6. Keywords:
  7. Pseudo-dynamic experiment ; Tangent stiffness ; Diagonalizations ; Efficient method ; Element level ; Experimental measurements ; Hybrid simulation ; Implicit integration ; Implicit integration algorithm ; Implicit numerical integration ; Iterative integration ; Matrix ; Nonlinear behavior ; Nonlinear structure ; On-line estimation ; Physical application ; Polynomial curve fitting ; Restoring forces ; Structural systems ; Tangent stiffness matrix ; Curve fitting ; Integration ; Polynomial approximation ; Stiffness ; Stiffness matrix ; Mathematical models ; Algorithm ; Displacement ; Dynamic response ; Nonlinearity ; Numerical method ; Seismic response ; Structural response
  8. Source: Earthquake Engineering and Structural Dynamics ; Volume 40, Issue 9 , October , 2011 , Pages 945-960 ; 00988847 (ISSN)
  9. URL: http://onlinelibrary.wiley.com/doi/10.1002/eqe.1066/abstract