Effects of random material and geometrical properties on structural safety of steel–concrete composite systems

A stochastic finite element-based algorithm for probabilistic analysis of structural systems made of composite sections with random material and geometrical properties under earthquake forces is proposed in this paper. Uncertainties in the structural parameters can be taken into account in this algorithm. For the perturbation-based stochastic finite element method, only the first two moments of random variables need to be known, and is numerically much more efficient and feasible than simulation techniques. The efficiency and accuracy of the proposed algorithm are validated by comparison with results of Monte Carlo simulation method. A summary of stiffness matrix formulation and perturbation-based stochastic finite element dynamic analysis formulation of structural systems made of composite sections is given. These are followed by suitable numerical examples, which indicate that employment of such a dynamic stochastic finite element method leads to significant economical, efficient and accurate solutions for the dynamic analysis of composite structures with stochastic parameters under earthquake forces. Copyright © 2010 John Wiley & Sons, Ltd.

[1]  R. Ganesan,et al.  Buckling of Composite Beam-columns with Stochastic Properties , 2005 .

[2]  Carlos Conceição António,et al.  Uncertainty analysis based on sensitivity applied to angle-ply composite structures , 2007, Reliab. Eng. Syst. Saf..

[3]  George Deodatis,et al.  Weighted Integral Method. I: Stochastic Stiffness Matrix , 1991 .

[4]  Amr S. Elnashai,et al.  Seismic design and performance of composite frames , 2004 .

[5]  Bruce R. Ellingwood,et al.  SFEM FOR RELIABILITY OF STRUCTURES WITH MATERIAL NONLINEARITIES , 1996 .

[6]  Masanobu Shinozuka,et al.  Neumann Expansion for Stochastic Finite Element Analysis , 1988 .

[7]  Walter D. Pilkey,et al.  Analysis and Design of Elastic Beams: Computational Methods , 2003 .

[8]  Michał Kleiber,et al.  Perturbation based stochastic finite element method for homogenization of two-phase elastic composites , 2000 .

[9]  Jerome F. Hajjar,et al.  Composite steel and concrete structural systems for seismic engineering , 2002 .

[10]  Marcin Kamiński,et al.  On generalized stochastic perturbation‐based finite element method , 2005 .

[11]  Masanobu Shinozuka,et al.  Monte Carlo solution of structural dynamics , 1972 .

[12]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .

[13]  Guo-Qiang Li,et al.  Testing of semi-rigid steel–concrete composite frames subjected to vertical loads , 2007 .

[14]  R. Ghanem,et al.  Stochastic Finite Elements: A Spectral Approach , 1990 .

[15]  Gilson Queiroz,et al.  Analysis of composite connections in unbraced frames subjected to wind and gravity loading , 2005 .

[16]  Humberto Contreras,et al.  The stochastic finite-element method , 1980 .

[17]  A. Young,et al.  Application of the spectral stochastic finite element method for performance prediction of composite structures , 2007 .

[18]  A. Bayraktar,et al.  Perturbation Based Stochastic Finite Element Analysis of the Structural Systems with Composite Sections under Earthquake Forces , 2008 .

[19]  Sherif El-Tawil,et al.  Nonlinear Analysis of Steel-Concrete Composite Structures: State of the Art , 2004 .

[20]  On sensitivity analysis of effective elastic moduli for fibre-reinforced composites , 2001 .

[21]  Bruce R. Ellingwood,et al.  Effects of Uncertain Material Properties on Structural Stability , 1995 .