Displacement/stress level-crossing stochastic finite element-based algorithm for reliability assessment of vehicle components with loading and material uncertainties

In the majority of the researches presented so far for behavior analysis of complex structures with random loading and material properties, the applications rather than the analysis algorithms have been extended. The present paper is devoted to extending the probabilistic concepts to achieve a stochastic finite element-based consistent reliability algorithm that is more consistent with the design criteria. The proposed procedure is very general and may be employes for vehcle components with complex geometries and load conditions. However, beam-type vehicle components experience simultaneous spatially-random loading conditions and material properties are employed to clarify the proposed algorithm, without loss of the generality. In this regard, important concepts such as the displacement/stress level-crossing concept are incorporated. The stress stochastic formulations are proposed in the present paper, for the first time.

[1]  Bhanu Singh,et al.  EFFECTS OF RANDOM MATERIAL PROPERTIES ON BUCKLING OF COMPOSITE PLATES , 2001 .

[2]  C. Soares,et al.  Spectral stochastic finite element analysis for laminated composite plates , 2008 .

[3]  Achchhe Lal,et al.  EFFECT OF RANDOM SYSTEM PROPERTIES ON INITIAL BUCKLING OF COMPOSITE PLATES RESTING ON ELASTIC FOUNDATION , 2008 .

[4]  Masanobu Shinozuka,et al.  Bounds on response variability of stochastic systems , 1989 .

[5]  G. Stefanou The stochastic finite element method: Past, present and future , 2009 .

[6]  E. A. Azrulhisham,et al.  Fatigue life reliability prediction of a stub axle using Monte Carlo simulation , 2011 .

[7]  S. J. Ahn Discomfort of vertical whole-body shock-type vibration in the frequency range of 0.5 to 16 Hz , 2010 .

[8]  N. Zabaras,et al.  Uncertainty propagation in finite deformations––A spectral stochastic Lagrangian approach , 2006 .

[9]  Lori Graham-Brady,et al.  Efficient numerical strategies for spectral stochastic finite element models , 2005 .

[10]  George Stefanou,et al.  Stochastic finite element analysis of shells , 2002 .

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

[12]  M. Shariyat,et al.  Minimizing the engine-induced harshness based on the DOE method and sensitivity analysis of the full vehicle NVH model , 2009 .

[13]  VIBRATION AND STABILITY OF GEOMETRICALLY NONLINEAR COLUMN SUBJECTED TO GENERALIZED LOAD WITH A FORCE DIRECTED TOWARD THE POSITIVE POLE , 2008 .

[14]  Giovanni Falsone,et al.  Erratum to “A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters” [Comput. Methods Appl. Mech. Engrg. 191 (2002) 5067–5085] , 2003 .

[15]  Masanobu Shinozuka,et al.  Weighted Integral Method. II: Response Variability and Reliability , 1991 .

[16]  Muneo Hori,et al.  Three‐dimensional stochastic finite element method for elasto‐plastic bodies , 2001 .

[17]  G. Deodatis Simulation of Ergodic Multivariate Stochastic Processes , 1996 .

[18]  M. Shariyat A fatigue model developed by modification of Gough’s theory, for random non-proportional loading conditions and three-dimensional stress fields , 2008 .

[19]  D. Yadav,et al.  Generalized buckling analysis of laminated plates with random material properties using stochastic finite elements , 2006 .

[20]  M. Shariyat,et al.  New Multiaxial HCF Criteria Based on Instantaneous Fatigue Damage Tracing in Components with Complicated Geometries and Random Non-Proportional Loading Conditions , 2010 .

[21]  George Deodatis,et al.  Bounds on response variability of stochastic finite element systems : effect of statistical dependence , 1990 .

[22]  G. Deodatis,et al.  Upper bounds on the response variance of stochastic systems via generalized variability response functions , 2003 .

[23]  I. Elishakoff,et al.  Finite Element Methods for Structures with Large Stochastic Variations , 2003 .

[24]  Y. M. Zhang,et al.  Reliability-based sensitivity analysis of vehicle components with non-normal distribution parameters , 2009 .

[25]  A. V. Singh,et al.  On finite element analysis of beams with random material properties , 2003 .

[26]  George Deodatis,et al.  Bounds on Response Variability of Stochastic Finite Element Systems , 1990 .

[27]  M. Shariyat Two New Multiaxial HCF Criteria Based on Virtual Stress Amplitude and Virtual Mean Stress Concepts for Complicated Geometries and Random Nonproportional Loading Conditions , 2009 .

[28]  Ted Belytschko,et al.  Finite element methods in probabilistic mechanics , 1987 .

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

[30]  Achchhe Lal,et al.  Post buckling response of laminated composite plate on elastic foundation with random system properties , 2009 .

[31]  K. K. Shukla,et al.  Nonlinear free vibration analysis of composite plates with material uncertainties: A Monte Carlo simulation approach , 2009 .

[32]  René de Borst,et al.  Object-oriented stochastic finite element analysis of fibre metal laminates , 2005 .

[33]  G. Falsone,et al.  A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters , 2002 .

[34]  M. Shariyat Three energy-based multiaxial HCF criteria for fatigue life determination in components under random non-proportional stress fields , 2009 .

[35]  Wing Kam Liu,et al.  Probabilistic finite elements for nonlinear structural dynamics , 1986 .