Identification and simulation of initial geometrical imperfections of steel cylindrical tanks

Critical loads of shell structures can be properly approximated only through including randomness in their geometry. As it is difficult and expensive to measure the initial structure imperfections in situ or in laboratory, a methodology of identification and description of the available data should be provided. The presented procedure provides an opportunity for the reproduction of measured maps of steel cylindrical tank geometrical imperfections. Simulations of nonhomogeneous random fields of imperfections, based on the original conditional-rejection method of simulation, are applied. Using the measured data, an envelope of the imperfections is also estimated. It allows for simulation of extreme but still realistic fields of imperfections. Additionally, nonlinear numerical analyses of tanks with and without initial geometrical imperfections are performed. The results indicate that the initial imperfections influence the solutions.

[1]  Muneo Hori,et al.  Stochastic finite element method for elasto‐plastic body , 1999 .

[2]  V. Raizer,et al.  Theory of reliability in structural design , 2004 .

[3]  J. Górski,et al.  Shells with random geometric imperfections simulation — based approach , 2002 .

[4]  Pol D. Spanos,et al.  Simulation of homogeneous two-dimensional random fields. Part II. MA and ARMA models , 1991 .

[5]  H. Matthies,et al.  Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements , 1997 .

[6]  G. I. Schuëller,et al.  Buckling analysis of cylindrical shells with random geometric imperfections , 2003 .

[7]  George Stefanou,et al.  Stochastic finite element analysis of shells with combined random material and geometric properties , 2004 .

[8]  Manolis Papadrakakis,et al.  FINITE-ELEMENT ANALYSIS OF CYLINDRICAL PANELS WITH RANDOM INITIAL IMPERFECTIONS , 2004 .

[9]  Nicholas I. Fisher,et al.  Statistical Analysis of Circular Data , 1993 .

[10]  J. Górski,et al.  Simulation of nonhomogeneous random fields for structural applications , 1997 .

[11]  Jarosław Górski Non-linear models of structures with random geometric and material imperfactions simulation-based approach , 2006 .

[12]  C. Papadimitrioua,et al.  Updating robust reliability using structural test data , 2001 .

[13]  Julius S. Bendat,et al.  Engineering Applications of Correlation and Spectral Analysis , 1980 .

[14]  James H. Starnes,et al.  Future directions and challenges in shell stability analysis , 1997 .

[15]  Armen Der Kiureghian,et al.  Comparison of finite element reliability methods , 2002 .

[16]  Alex H. Barbat,et al.  Monte Carlo techniques in computational stochastic mechanics , 1998 .

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

[18]  A. Hibbert Statistical and computational methods in data analysis: Siegmund Brandt, North-Holland, 1976. $ 35.95/Dfl. 90.00 , 1979 .

[19]  Random fields in the limit analysis of elastic-plastic shell structures , 1994 .

[20]  L. Devroye Non-Uniform Random Variate Generation , 1986 .

[21]  S. Ferson,et al.  Different methods are needed to propagate ignorance and variability , 1996 .

[22]  G. I. Schuëller,et al.  Computational stochastic mechanics – recent advances , 2001 .

[23]  A. Kiureghian,et al.  OPTIMAL DISCRETIZATION OF RANDOM FIELDS , 1993 .

[24]  Erik H. Vanmarcke,et al.  Random Fields: Analysis and Synthesis. , 1985 .

[25]  Mohammed Bezzazi,et al.  Buckling of elastic cylindrical shells considering the effect of localized axisymmetric imperfections , 2004 .

[26]  M. Shinozuka,et al.  Random fields and stochastic finite elements , 1986 .

[28]  Stochastic FE-Analysis of Shear Localization in 2D Granular Material within a Micro-Polar Hypoplasticity , 2006 .

[29]  B. Ellingwood,et al.  Error Measure for Reliability Studies Using Reduced Variable Set , 1995 .

[30]  R. Jankowski,et al.  Modeling of two-dimensional random fields , 1997 .

[31]  Thalia Anagnos,et al.  Simulation Based Reliability Assessment for Structural Engineers , 1996 .