... ∂ g ( X , θ ) ∂ X i | μ X ( X i − μ i ) Upcrossing and downcrossing events Gaussian processes probability reliability theory An important application of mechanisms is to generate functions, which link motion output and motion...

... as the FORM. 09 04 2010 07 08 2010 04 10 2010 04 10 2010 reliability theory The major task of reliability analysis is to compute the probability of failure p f 1 p f = Pr { g ( X ) < q } where g ( X ) is a limit-state...

... methods. Several examples are used to demonstrate the proposed methodology. 11 08 2009 11 03 2010 20 05 2010 20 05 2010 design engineering gradient methods Monte Carlo methods optimisation probability random processes reliability theory sampling methods...

... to accommodate efficiency in computing time. PDF of constraint functions of pigtail spring: ( a ) side load angle β , ( b ) maximum shear stress τ max , and ( c ) spring rate k 14 07 2009 08 02 2010 29 04 2010 29 04 2010 Bayes methods reliability...

... analysis genetic algorithms plates (structures) probability reliability theory vibrations There is a class of problems (e.g., degradation phenomena) where g ( X , t ) is monotonically decreasing over the time interval [ t min , t max ] , i.e., 4...

... 2.6277 2.7187 2.7981 2.9195 3.0274 3.3234 3.3951 18 03 2008 07 01 2009 20 03 2009 eigenvalues and eigenfunctions failure analysis matrix algebra reliability theory In the past few decades, the importance of reliability has been well conceived by engineers...

...-9 , 9 ( 5 ), pp. 484 – 494 . 09 05 2006 27 05 2007 08 08 2008 nonlinear programming reliability theory statistical distributions Products must be reliable, robust, and safe against uncertainties. To this end, nondeterministic design approaches have been...

... fault trees product design Bayes methods life cycle costing probability reliability theory uncertainty handling fault diagnosis Diagnosability Bayes’ Theory FMEA FTA Uncertainty Mechanical Design The customer’s desire for a greater number of functions and higher performance can...

..., and associated RBDO reformulations. Through the formalization, their relationships are revealed. Using reported numerical studies, we discuss their numerical efficiency, convergence, and accuracy. 21 06 2004 08 10 2004 design engineering optimisation approximation theory reliability theory...

... engineering reliability theory optimisation Due to an increasingly global, competitive market, optimum designs are pushed to the limit of system failure boundaries by using multidisciplinary design optimization techniques, leaving very little or no room for tolerances in modeling and simulation...

... 11 06 2003 mechanical engineering maintenance engineering identification fault diagnosis reliability theory vibrations wavelet transforms In the aerospace industry, where both weight-to-load factor and efficiency are pushed to their design limits, one of the major concerns...

... . Manuscript received Mar. 1999; revised Mar. 2000. Associate Technical Editor: L.-W. Tsai. 01 Mar 1999 01 Mar 2000 manufacturing processes reliability theory industries environmental factors recycling This research is in the area of environmentally conscious product design...