Temat: multiple scales - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Interaction of internal and surface waves in a two-layer fluid with free surface
Autorzy:: Naradovy, V.
Powiązania:: https://bibliotekanauki.pl/articles/115568.pdf
Data publikacji:: 2013
Wydawca:: Fundacja na Rzecz Młodych Naukowców
Tematy:: internal waves
surface waves
fluid layer
multiple scales
stability
Opis:: The interaction of internal and surface waves in a two-layer fluid with free surface has been considered. The stability of wave packets propagation on the contact surface and free surface of hydrodynamic system „layer with rigid bottom - layer with free surface” was investigated. The amplitudes of the second harmonics of the elevations of the contact surface and the free surface are investigated.
Źródło:: Challenges of Modern Technology; 2013, 4, 3; 3-9
2082-2863
2353-4419
Pojawia się w:: Challenges of Modern Technology
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Magneto-elastic internal resonance of an axially moving conductive beam in the magnetic field
Autorzy:: Wang, Jie
Hu, Yuda
Su, Yu
Gong, Liangfei
Zhang, Qingnan
Powiązania:: https://bibliotekanauki.pl/articles/281155.pdf
Data publikacji:: 2019
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: magneto-elastic
conductive beam
internal resonance
axially moving
multiple scales
Opis:: The Hamiltonian principle is applied to the nonlinear vibration equation of an axially moving conductive beam in the magnetic field with consideration of the axial velocity, axial tension, electromagnetic coupling effect and complex boundary conditions. Nonlinear vibration characteristics of the free vibrating beam under 1:3 internal resonances are studied based on our approach. For beams with one end fixed and the other simply supported, the nonlinear vibration equation is dispersed by the Galerkin method, and the vibration equations are solved by the multiple-scales method. As a result, the coupled relations between the first-order and second-order vibration modes are obtained in the internal resonance system. Firstly, the influence of initial conditions, axial velocity and the external magnetic field strength on the vibration modes is analysed in detail. Secondly, direct numerical calculation on the vibration equations is carried out in order to evaluate the accuracy of the perturbation approach. It is found that through numerical calculations, in the undamped system, the vibration modes are more sensitive to the initial value of vibration amplitude. The amplitude changes of the first-order and second-order modes resulting from the increase of the initial amplitude value of the vibration modes respectively are very special, and present a “reversal behaviour”. Lastly, in the damped system, the vibration modes exhibit a trend of coupling attenuation with time. Its decay rate increases when the applied magnetic field strength becomes stronger.
Źródło:: Journal of Theoretical and Applied Mechanics; 2019, 57, 1; 179-191
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Magneto-elastic combined multidimensional resonance of a rotating circular plate in a double-direction magnetic field
Autorzy:: Li, Zhe
Hu, Yu Da
Li, Wen Qiang
Powiązania:: https://bibliotekanauki.pl/articles/281123.pdf
Data publikacji:: 2019
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: magneto-elastic
annular plate
multi-dimensional vibration
combination resonance
the method of multiple scales
Opis:: Magneto-elastic nonlinear non-axisymmetric resonance is investigated for a rotating annular plate in a double-direction magnetic field. According to transverse and longitudinal magneto- -elastic non-axisymmetric vibration equations of the thin annular plate, and considering the influence of the static load term, non-axisymmetric vibration differential equations by combined parametric and forced excitations are obtained through application of the Galerkin method. Then, the method of multiple scales is applied to solve differential vibration equations. By numerical computations, the influence of magnetic induction intensity, inner and outer diameters, excitation and radial forces on transverse and longitudinal resonance characteristics are analyzed.
Źródło:: Journal of Theoretical and Applied Mechanics; 2019, 57, 4; 883-895
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Multiple solutions of boundary value problems on time scales for φ-laplacian operator
Autorzy:: Amster, Pablo
Kuna, Mariel Paula
Santos, Dionicio Pastor
Powiązania:: https://bibliotekanauki.pl/articles/255690.pdf
Data publikacji:: 2020
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: dynamic equations on time scales
nonlinear boundary value problems
upper and lower solutions
Leray-Schauder degree
multiple solutions
Opis:: We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a y-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray-Schauder degree. The results extend and improve known results for analogous problems with discrete p-Laplacian as well as those for boundary value problems on time scales.
Źródło:: Opuscula Mathematica; 2020, 40, 4; 405-425
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

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