. . . "Stochastick\u00E1 odezva a stabilita imperfektn\u00EDch konstrukc\u00ED s n\u00E1hodn\u00FDm aditivn\u00EDm a parametrick\u00FDm buzen\u00EDm" . . "Stochastick\u00E1 aeroelastick\u00E1 stabilita \u0161t\u00EDhl\u00FDch konstrukc\u00ED v\u010Detn\u011B rozboru stochastick\u00E9 nesymetrie p\u0159i parametrick\u00E9m buzen\u00ED v kombinaci s aditivn\u00EDm buzen\u00EDm s aplikacemi.Teorie stochastick\u00E9 stability pohybu hamiltonovsk\u00FDch soustav s aplikacemi na pohyb vysok"@cs . "0"^^ . "Response, stability, reliability and service life of structures are influenced significantly by unavoidable imperfections of their physical properties (technology dispersion, successive material degradation) and geometric characteristics (shape and wall thickness deviations, corrosion, damage cumulation). Imperfections are stochastic functions in space and time. Also the ambient environment as well as static and dynamic loads are of random character. Typical are stochastic interactions of a structure with environment and loads. Mathematical models will be based on Markov processes and corresponding PD equations (FPK, generalized FPK, Chapman, Smolukhovski). Solution methods will combine processes of decomposition (moments, cumulants, closing problem), the principle of maximum PDF entropy (Boltzmann, Planck), variational methods (NSA operators), numerical processes (FEM, Galerkin + MC), posterior estimates and predictions (Bayes) and MC simulations. Motion stability will be analyzed using 1st"@en . . . . "1"^^ . . . . . "1"^^ . . "42"^^ . "42"^^ . . "http://www.isvav.cz/projectDetail.do?rowId=GA103/02/0020"^^ . . . . "Neuvedeno."@en . . "GA103/02/0020" . . . . "Odezva, stabilita, spolehlivost a \u017Eivotnost konstrukc\u00ED je z\u00E1sadn\u00EDm zp\u016Fsobem ovlivn\u011Bna nevyhnuteln\u00FDmi imperfekcemi fyzik\u00E1ln\u00EDch vlastnost\u00ED (technologick\u00FD rozptyl, postupn\u00E1 degradace materi\u00E1lu) a geometrick\u00FDch charakteristik (odchylky tvaru, rozptyl tlou\u0161t\u011Bk st\u011Bn, napaden\u00ED koroz\u00ED, kumulace po\u0161kozen\u00ED). Imperfekce jsou stochastick\u00FDmi funkcemi v\u00A0prostoru a v\u00A0\u010Dasu. V\u00FDrazn\u011B stochastick\u00FD charakter m\u00E1 obklopuj\u00EDc\u00ED prost\u0159ed\u00ED a statick\u00E1 a dynamick\u00E1 zat\u00ED\u017Een\u00ED. Typick\u00E9 jsou stochastick\u00E9 interakce imperfekc\u00ED s konstrukc\u00ED, prost\u0159ed\u00EDm a zat\u00ED\u017Een\u00EDm. Z\u00E1kladn\u00EDm n\u00E1strojem pro stavbu matematick\u00FDch model\u016F budou Markovovy procesy v\u00A0z\u00E1kladn\u00ED form\u011B a prost\u0159ednictv\u00EDm odvozen\u00FDch rovnic pro PDF (FPK, zobecn\u011Bn\u00FD FPK, Chapman, Smoluchovskij). Metody \u0159e\u0161en\u00ED budou kombinovat procesy: rozklad\u016F (momenty, kumulanty, closing problem), princip maxima entropie PDF (Boltzmann, Planck), varia\u010Dn\u00ED na NSA oper\u00E1torech, numerick\u00E9 (spec.MKP, Galerkin+MC), aposteriorn\u00EDch odhad\u016F a predikc\u00ED (Bayes), rozs\u00E1hl\u00FDch simulac\u00ED (MC). Pro stabilitu" . "Stochastic aeroelasti stability of slender structures including analysis of the stochastic non-symmetry induced by combination of parametric and additive excitations (with applications). Theory of stochastic stability of Hamiltonian systems applied on hi"@en . "Stochastic response and stability of imperfect structures with random additive and parametric excitation"@en . "2008-06-02+02:00"^^ . .