000004934 001__ 4934
000004934 005__ 20141119144606.0
000004934 04107 $$aeng
000004934 046__ $$k2002-06-02
000004934 100__ $$aSarkar, Abhijit
000004934 24500 $$aINVERSE RELIABILITY ANALYSIS OF A LINEAR DYNAMICAL SYSTEM UNDER UNCERTAIN LOAD

000004934 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004934 260__ $$bColumbia University in the City of New York
000004934 506__ $$arestricted
000004934 520__ $$2eng$$aThe reliability of a linear dynamical system driven by a partially known Gaussian load process, specified only through its total average energy, is studied. A simple dynamic parallel or series system reliability configuration analysis is investigated for the failure using the crossing theory of stochastic processes. A trade-off curve between the maximum mean crossing rate of the parallel or series network and the disorder in the input, quantitatively measured through its entropy rate, is generated. Mathematically, the generation of the trade-off curve, in the sense of Pareto, leads to a highly nonlinear multi-criteria non-convex optimization problem with conflicting objectives. A recently developed Pareto optimization technique in conjunction with genetic algorithm (GA) has been successfully used to solve the optimization problem. The optimally disordered inputs which simulate the worst performance of the system of a spring-supported coupled rod assembly, has been studied as a numerical illustration of the mathematical formulation.

000004934 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004934 653__ $$aentropy rate, stochastic process, crossing rate theory, Pareto optimization, genetic algorithm, reliability, parallel and series system.

000004934 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004934 720__ $$aSarkar, Abhijit
000004934 8560_ $$ffischerc@itam.cas.cz
000004934 8564_ $$s656983$$uhttp://invenio.itam.cas.cz/record/4934/files/579.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004934 962__ $$r4594
000004934 980__ $$aPAPER