... 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...

... and a macroscale product (bracket) design is used to demonstrate the applicability and benefits of the proposed methodology. 08 06 2009 14 01 2010 13 04 2010 13 04 2010 crystal microstructure design of experiments optimisation product design random processes Multiscale...

... optimization is also used. filter influence function mixed continuous-discrete reliability based design optimization (RBDO) reliability optimisation design engineering random processes mechanical engineering 09 05 2005 25 01 2006 2007 American Society of Mechanical...

... response surface as a realization of a random process, as is common in kriging and other Bayesian analyses of computer experiments, we derive a closed-form analytical expression for a Bayesian prediction interval on the robust design objective function. This provides a simple, intuitively appealing tool...

..., 0.25) Worst case ( Y 1 , Y 2 ) for g 2 ⋯ (150, 0.25) (150, 0.25) Number of function evaluations 19 410 1038 11 12 2004 09 02 2005 reliability risk management design engineering random processes probability Reliability or risk...

... in the JOURNAL OF MECHANICAL DESIGN . Manuscript received Feb. 2000. Associate Editor: H. Lankarani. 01 Feb 2000 06 08 2002 rotors vibrations tolerance analysis random processes Monte Carlo methods manufacturing processes The unbalanced forces in rotors are random due...

... to multiaxial random processes was developed in Ref. 9 . This method consists in counting rainflow cycles on all possible linear combinations of the random vector components. Practically, when the stress states are biaxial, a set of linear combinations is constructed: (4) σ m t = c 1 σ...