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Wyszukujesz frazę "spectral perturbation method" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Spectral response of stationary jack-up platforms loaded by sea waves and wind using perturbation method
Autorzy:
Rozmarynowski, Bogdan
Jesien, Wojciech
Powiązania:
https://bibliotekanauki.pl/articles/2033184.pdf
Data publikacji:
2021
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
structural dynamics
offshore structures
loads
fluid flexible structure interactions
random variables
stochastic processes
spectral analysis
perturbation method
Opis:
The paper addresses non-linear vibrations of offshore jack-up drilling platforms loaded by sea waves and wind in their stationary condition using the perturbation method. Non-linearity of dynamic equations of motion for fixed offshore platforms yields from two factors. The first is load excitation generating non-linear velocity coupling in a dynamic system. This coupling is inherent in the modified Morison equation, involving the excitation function in the form of the sum of the inertial and velocity forces of sea waves, taking into account relative wave–structure kinematics. Moreover, the wind acting on the exciting side causes similar effects. The second source is the subsoil‒structure interaction problem, modelled by a system of springs and dashpots that yields stochastic non-linearity of the dynamic system. The matrix equations of structural motion in FEM terms are set up. The perturbation method is adopted to determine the mechanical response of the system, making it possible to determine response spectra of the first and the second approximations for displacements and internal forces of the platform. The paper is the continuation of research detailed in the paper [1]. It is assumed, that the fluctuation parts of the dynamic loading forces are in line with the direction of sea wave propagation. Sea current and lift forces effects are neglected in this study. A numerical example refers to structural data of the Baltic drilling platform in the stationary configuration, i.e. when three legs support the deck above the seawater level.
Źródło:
Polish Maritime Research; 2021, 4; 53-62
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computer analysis of dynamic reliability of some concrete beam structure exhibiting random damping
Autorzy:
Bredow, R.
Kamiński, M.
Powiązania:
https://bibliotekanauki.pl/articles/1839888.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
analiza niezawodności
metoda elementów skończonych
drgania wymuszone
reliability analysis
spectral stochastic finite element method
generalized stochastic perturbation technique
forced vibrations
Runge-Kutta-Fehlberg method
Opis:
An efficiency of the generalized tenth order stochastic perturbation technique in determination of the basic probabilistic characteristics of up to the fourth order of dynamic response of Euler-Bernoulli beams with Gaussian uncertain damping is verified in this work. This is done on civil engineering application of a two-bay reinforced concrete beam using the Stochastic Finite Element Method implementation and its contrast with traditional Monte-Carlo simulation based Finite Element Method study and also with the semi-analytical probabilistic approach. The special purpose numerical implementation of the entire Stochastic perturbation-based Finite Element Method has been entirely programmed in computer algebra system MAPLE 2019 using Runge-Kutta-Fehlberg method. Further usage of the proposed technique to analyze stochastic reliability of the given structure subjected to dynamic oscillatory excitation is also included and discussed here because of a complete lack of the additional detailed demands in the current European designing codes.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 1; 45-64
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A numerical examination of an unsteady nonlinear MHD flow in the presence of thermal radiation and heat generation
Autorzy:
Agbaje, T. M.
Leach, P. G. L.
Powiązania:
https://bibliotekanauki.pl/articles/1839890.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
przepływ MHD
promieniowanie cieplne
wytwarzanie ciepła
unsteady MHD flow
spectral perturbation method
spectral relaxation method
thermal radiation
heat generation
Opis:
In this study, the spectral perturbation method and the spectral relaxation method are used to solve the nonlinear differential equations of an unsteady nonlinear MHD flow in the presence of thermal radiation and heat generation. The SPM is mainly based on series expansion, generating series approximation coupled with the Chebyshev spectral method. The numerical results generated using the spectral perturbation method were compared with those found in the literature, and the two results were in good agreement.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 1; 1-17
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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