Fatigue reliability analysis for structures with known loading trend

Variations, such as those in product operation environment and material properties, result in random fatigue life. Variations in material fatigue properties depend on stochastic stress responses due to their nonlinear relationships with other random variables such as stochastic loading and dimensions. In this work, an efficient fatigue reliability analysis method is developed to accommodate those uncertainties for structures under cyclic loads with known loading trend. To reduce the computational cost, the method incorporates the fatigue life analysis model and the saddlepoint approximation method with the fast integration method. The new method is applied to the fatigue reliability analysis of a cantilever beam and a door cam. The results show high accuracy and efficiency of the proposed method benchmarked with Monte Carlo Simulations.

[1]  K. K. Choi,et al.  New Transformation of Dependent Input Variables Using Copula for RBDO 0 , 2008 .

[2]  Osman Asi,et al.  Failure analysis of an aircraft nose landing gear piston rod end , 2013 .

[3]  Kamran Nikbin,et al.  Deterministic and probabilistic creep–fatigue–oxidation crack growth modeling , 2013 .

[4]  Om Prakash Yadav,et al.  Reliability‐Based Design Optimization Considering Probabilistic Degradation Behavior , 2012, Qual. Reliab. Eng. Int..

[5]  Xu Xiaofei,et al.  Cumulative fatigue damage dynamic interference statistical model , 1995 .

[6]  Ying Min Low,et al.  A new distribution for fitting four moments and its applications to reliability analysis , 2013 .

[7]  Torgeir Moan,et al.  Fatigue reliability-based assessment of welded joints applying consistent fracture mechanics formulations , 2007 .

[8]  K. Breitung.  Asymptotic approximations for multinormal integrals , 1984 .

[9]  Shirong Ge,et al.  Investigation on the fretting fatigue behaviors of steel wires under different strain ratios , 2013 .

[10]  A. K. Gupta,et al.  How to transform correlated random variables into uncorrelated ones , 2000, Appl. Math. Lett..

[11]  Khaled Galal,et al.  A fatigue stress-life damage accumulation model for variable amplitude fatigue loading based on virtual target life , 2013 .

[12]  Xiaobin Le,et al.  A method for fatigue based reliability when the loading of a component is unknown , 1999 .

[13]  C. Guedes Soares,et al.  DFR based fatigue reliability assessment of riveted lap joint accounting for correlations , 2013 .

[14]  Shahram Sarkani,et al.  Mean stress effects in fatigue of welded steel joints , 1996 .

[15]  Steven R. Winterstein,et al.  PREDICTING DESIGN WIND TURBINE LOADS FROM LIMITED DATA: COMPARING RANDOM PROCESS AND RANDOM PEAK MODELS , 2001 .

[16]  Tong Guo,et al.  Fatigue reliability analysis of steel bridge details based on field-monitored data and linear elastic fracture mechanics , 2013 .

[17]  Mahdi Norouzi,et al.  EFFICIENT METHOD FOR RELIABILITY ASSESSMENT UNDER HIGH-CYCLE FATIGUE , 2012 .

[18]  O. Pierron,et al.  Fatigue properties of atomic-layer-deposited alumina ultra-barriers and their implications for the reliability of flexible organic electronics , 2012 .

[19]  Ramana V. Grandhi,et al.  Reliability-based Structural Design , 2006 .

[20]  Florian Ion Tiberiu Petrescu,et al.  DYNAMIC SYNTHESIS OF THE ROTARY CAM AND TRANSLATED TAPPET WITH ROLL , 2013 .

[21]  Tai-Yan Kam,et al.  FATIGUE RELIABILITY EVALUATION FOR COMPOSITE LAMINATES VIA A DIRECT NUMERICAL INTEGRATION TECHNIQUE , 1998 .

[22]  William Q. Meeker,et al.  Estimating Fatigue Curves With the Random Fatigue-Limit Model , 1999, Technometrics.

[23]  A. Kareem,et al.  Peak Factors for Non-Gaussian Load Effects Revisited , 2011 .

[24]  Katsuichiro Goda,et al.  Statistical modeling of joint probability distribution using copula: Application to peak and permanent displacement seismic demands , 2010 .

[25]  Ying Min Low,et al.  Fatigue reliability analysis of a steel catenary riser at the touchdown point incorporating soil model uncertainties , 2012 .

[26]  Michael P. Enright,et al.  Life Prediction for Turbopropulsion Systems Under Dwell Fatigue Conditions , 2012 .

[27]  Kan Ni,et al.  Fatigue reliability analysis under two-stage loading , 2000, Reliab. Eng. Syst. Saf..

[28]  Maurice G. Kendall,et al.  The advanced theory of statistics , 1945 .

[29]  Sean B. Leen,et al.  Finite element simulation of fretting wear and fatigue in thin steel wires , 2013 .

[30]  Xiaoping Du,et al.  Reliability analysis for hydrokinetic turbine blades , 2012 .

[31]  J. M. Larsen,et al.  Incorporating small fatigue crack growth in probabilistic life prediction: Effect of stress ratio in Ti–6Al–2Sn–4Zr–6Mo , 2013 .

[32]  Igor Rychlik,et al.  Uncertainty in fatigue life prediction of structures subject to Gaussian loads , 2009 .

[33]  Pol D. Spanos,et al.  Markov chain models for life prediction of composite laminates , 1998 .

[34]  Jian-Qiao Sun,et al.  Effect of skewness on fatigue life with mean stress correction , 2005 .

[35]  Y. K. Wen,et al.  On Fast Integration for Time Variant Structural Reliability , 1987 .

[36]  Torgeir Moan,et al.  A Practical Formulation for Evaluating Combined Fatigue Damage From High- and Low-Frequency Loads , 2007 .

[37]  Yalçın Yüksel,et al.  Deformation of breakwater armoured artificial units under cyclic loading , 2013 .

[38]  Torgeir Moan,et al.  Long-Term Fatigue Damage of Ship Structures Under Nonlinear Wave Loads , 2002 .

[39]  Junho Song,et al.  Finite-element-based system reliability analysis of fatigue-induced sequential failures , 2012, Reliab. Eng. Syst. Saf..

[40]  K. K. Choi,et al.  Reliability-based design optimization of problems with correlated input variables using a Gaussian Copula , 2009 .

[41]  Faisal Khan,et al.  Probabilistic Transgranular Stress Corrosion Cracking Analysis for Oil and Gas Pipelines , 2012 .

[42]  Mohammad Al-Emrani,et al.  A comparative study of different fatigue failure assessments of welded bridge details , 2013 .

[43]  Patrick J. Golden,et al.  Reducing Uncertainty in Fatigue Life Limits of Turbine Engine Alloys (Preprint) , 2012 .

[44]  Nag-Ho Ko,et al.  Verification of correction factors for non-Gaussian effect on fatigue damage on the side face of tall buildings , 2008 .

[45]  K. Phoon,et al.  Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion , 2005 .

[46]  Sankaran Mahadevan,et al.  Stochastic fatigue damage modeling under variable amplitude loading , 2007 .

[47]  Jing Li,et al.  An exponential model for fast simulation of multivariate non-Gaussian processes with application to structural wind engineering , 2012 .

[48]  You-Lin Xu,et al.  Fatigue assessment of multi-loading suspension bridges using continuum damage model , 2012 .

[49]  Bernt J. Leira,et al.  Fatigue damage of ship hulls due to local ice-induced stresses , 2013 .

[50]  André T. Beck,et al.  Stochastic fracture mechanics using polynomial chaos , 2013 .

[51]  Hua Lu,et al.  Application of Kriging and radial basis function in power electronic module wire bond structure reliability under various amplitude loading , 2012 .

[52]  Abílio M. P. De Jesus,et al.  Local unified probabilistic model for fatigue crack initiation and propagation: Application to a notched geometry , 2013 .

[53]  Cheng-Kuo Sung,et al.  Experimental Investigation on the Performance of a Compressed-Air Driven Piston Engine , 2013 .

[54]  Kok-Kwang Phoon,et al.  Simulation of second-order processes using Karhunen–Loeve expansion , 2002 .

[55]  Rui Calçada,et al.  Fatigue analysis of box-girder webs subjected to in-plane shear and transverse bending induced by railway traffic , 2013 .

[56]  Dongwoo Lee,et al.  A study on the fatigue life prediction of tire belt-layers using probabilistic method , 2013 .

[57]  Yongming Liu,et al.  Efficient Methods for Time-Dependent Fatigue Reliability Analysis , 2009 .

[58]  Kamran Nikbin,et al.  Probabilistic Prediction of Crack Growth Based on Creep/Fatigue Damage Accumulation Mechanism , 2011 .

[59]  Marcin Kamiński,et al.  On probabilistic fatigue models for composite materials , 2002 .

[60]  Suhail Ahmad,et al.  Fatigue and fracture reliability of TLP tethers under random loading , 2001 .

[61]  Xiaoping Du,et al.  Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations , 2005, DAC 2005.