2 research outputs found
Globális optimalizálási problémák ellenőrzött pontosságú megoldása mérnöki alkalmazásokban = Solving Global Optimization Problems with Validated Accuracy in Engineering Applications
A projekt keretĂ©ben eredmĂ©nyesen megvalĂłsult kutatások nĂ©gy fokozatot foglalnak magukba, melyek tĂ©mákra bontva a következĹ‘k voltak: 1. A globális optimalizálási problĂ©ma ellenĹ‘rzött pontosságĂş megoldásának lehetĹ‘sĂ©gei, mĂłdszerei az intervallum-analĂzis felhasználásával (22 közlemĂ©ny). TĂ©mák: Intervallum-felosztási eljárások gyorsĂtása az irányválasztás mĂłdosĂtásával; matematikai bizonyĂtások numerikus eszközökkel; sztochasztikus klaszterezĹ‘ globális optimalizálĂł eljárások javĂtása. 2. Ăšj lokális keresĹ‘k vizsgálata (6 közlemĂ©ny). TĂ©ma: Robusztus deriváltmentes lokális keresĹ‘k. 3. Globális optimalizálási problĂ©ma ellenĹ‘rzött megoldása mĂ©rnöki alkalmazásokban (37 közlemĂ©ny). TĂ©mák: Káosz vizsgálata a kĂ©nyszererĹ‘s inga esetĂ©ben, ill. HĂ©non-fĂ©le lekĂ©pezĂ©sek esetĂ©n; vasbetongerendák nyĂrási vasalásának optimalizálása; optimális beton Ă©s vasbeton pontalapok tervezĂ©se; optimális rácsos tartĂłk Ă©s keretszerkezetek tervezĂ©se; szakaszos extraktĂv desztilláciĂł megvalĂłsĂthatĂłsági vizsgálata. 4. Ipari alkalmazások. (14 közlemĂ©ny). ÉpĂtĹ‘mĂ©rnöki alkalmazásokhoz kifejlesztett pontalapok tervezĂ©sĂ©re szolgálĂł eljárás segĂtsĂ©gĂ©vel öt tesztprojektben összesen több, mint 100.000 eurĂłs megtakarĂtást sikerĂĽlt elĂ©rni. A tervezĂ©s non-profit alapon törtĂ©nt, a tervezett szerkezetek megvalĂłsultak. | The investigations effectively achieved within the frameworks of the project consist of the following four stages unfolded into subjects: 1 Possibilities and procedures of solving global optimization problems with verified accuracy using interval analysis (22 publications). Subjects: Accelerating interval subdivision methods by changing the subdivision direction selection rule; proving mathematics with numerical tools; improving stochastic clustering global optimization methods. 2 Investigation of new local search methods (6 publications). Subject: Robust derivative-free local search methods. 3 Engineering applications of the global optimization problem's verified solution (37 publications). Subjects: Investigation of chaos in the case of a forced damped pendulum and for the HĂ©non mapping, resp.; optimization of shear reinforcement of reinforced concrete beams; designing optimal concrete and reinforced concrete single bases; designing optimal trusses and frames; finding limiting flows of batch extractive distillation. 4 Industrial applications (14 publications). With the aid of a procedure developed for designing single bases in civil engineering applications a saving of more than 100,000 Euros in total could be achieved on five test projects. The design was non-profit, the designed structures have been built
Reliable Numerical Computation in Civil Engineering
Civil engineering is a field --- as many of other engineering sciences --- where the most of methods used for solving optimization problems base on experience and experiments, and models using local information, however drawn from global models. The present work outlines an interesting class of problems from this field, and initiates some possible ways to solve those problems utilizing the wide tool capabilities of interval arithmetic for error handling and interval branch-and-bound algorithms to solve the original or modified industrial models automating civil engineers' work. The investigations are in the first state but are promising both in a theoretical and in a practical sense