... methods statistical distributions Engineering design analyses often involve uncertain inputs. Sources of uncertainty may be divided into two types: aleatory and epistemic. Aleatory uncertainty is irreducible. Examples include phenomena that exhibit natural variation such as environmental...

... 08 02 2010 29 04 2010 29 04 2010 Bayes methods reliability theory springs (mechanical) statistical distributions structural engineering suspensions (mechanical components) Bayesian approach reliability analysis epistemic uncertainty Kriging dimension reduction method...

... 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 increasingly researched and applied by industry...

... ), p. 031401 . 23 05 2007 12 03 2008 14 07 2008 design engineering genetic algorithms mechanical engineering statistical distributions wave propagation multidisciplinary optimization multiobjective optimization robust optimization interval uncertainty...

... distribution for efficient estimation of reliability. 19 09 2005 23 02 2006 laminates cost reduction structural engineering design for quality reliability quality control failure analysis statistical distributions For systems composed of multiple components, system failure...

... of the uncertain quantities within the bounds is not known. reliability-based optimization uncertainty incomplete information Bayesian inference design engineering reliability pistons rings (structures) engine cylinders surface roughness statistical distributions Bayes methods optimisation...

... statistical distributions Deterministic mathematical optimization has led to greatly improved performance in all areas of engineering design. It can, however, lead to undesired choices, if uncertainty/variation is ignored. In deterministic design we assume that there is no uncertainty in the design...

...Liu Du; K. K. Choi; Byeng D. Youn; David Gorsich The reliability based design optimization (RBDO) method is prevailing in stochastic structural design optimization by assuming the amount of input data is sufficient enough to create accurate input statistical distribution. If the sufficient input...

... weaknesses in the underlying models. An example of such weakness is the sensitivity of failure loads to inevitable small imperfections in geometric shape. uncertainty probability possibility method testing design engineering decision making statistical distributions numerical analysis...