Temat: nonlinear model - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Stability and bifurcation analysis for an airfoil model with a high-order nonlinear spring
Autorzy:: Li, Shuqun
Zhou, Liangqiang
Powiązania:: https://bibliotekanauki.pl/articles/2086970.pdf
Data publikacji:: 2022
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: nonlinear airfoil model
bifurcation
stability
normal form
Opis:: In this paper, the stability and bifurcation of an airfoil model with a high-order nonlinear spring are investigated both analytically and numerically. Two possible types of bifurcation at the equilibrium point are studied. It is proved that the zero characteristic root can only be a single zero. With the help of the center manifold theory and the normal form theory, the expressions of critical bifurcation curves leading to initial bifurcation and secondary bifurcation are obtained. Numerical simulations confirm the theoretical results.
Źródło:: Journal of Theoretical and Applied Mechanics; 2022, 60, 2; 185--197
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Active vibration control of Terfenol-D rod of giant magnetostrictive actuator with nonlinear constitutive relations
Aktywne sterowanie drganiami w wielkim aktuatorze magnetostrykcyjnym z rdzeniem typu Terfenol-D przy uwzględnieniu nieliniowych równań konstytutywnych
Autorzy:: Zhou, H-M.
Zhou, Y-H.
Zheng, X. J.
Powiązania:: https://bibliotekanauki.pl/articles/281451.pdf
Data publikacji:: 2007
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: aktuator wielki magnetostrykcyjny
nieliniowe równania konstytutywne
analiza tłumienia drgań
giant magnetostrictive actuators
nonlinear constitutive model
negative feedback control law
active control of vibration suppression
Opis:: This paper presents a numerical simulation of active vibration control of the Terfenol-D rad of a giant magnetostrictive transducer with nonlinear constitutive relations. In this control system, the goal is to suppress vibration of the displacement at the free end of the rod that is usually connected with a platform. Due to the inherent nonlinear relation among the applied magnetic field, pre-stress, and strain, the extension of the rod is also nonlinear relative to the external applications. Having an analytieal nonlinear constitutive model of the Terfenol-D rod proposed by the last author of this paper and the finite element method employed in the deformation analysis, we propose a numerical code to simulate the dynamic behavior of the control system when the negative displacement and velocity control law is utilized to feed back the signals to the actuator. The simulation results display that this control is more effective that other existing control algorithms based on linear constitutive models.
W pracy zaprezentowano symulacje numeryczne aktywnego sterowania za pomocą wielkiego aktuatora magnetostrykcyjnego zawierającego rdzeń wykonany z Terfenolu-D opisanego nieliniowymi zależnościami konstytutywnymi. Celem rozważań jest analiza tłumienia drgań swobodnego końca pręta, zwykle łączonego z platformą. Wydłużenie pręta jest opisane nieliniowym równaniem z powodu nieliniowych relacji pomiędzy przykładanym polem magnetycznym, naprężeniami wstępnymi oraz odkształceniami. Po sformułowaniu przez ostatniego Autora niniejszej pracy modelu pręta z Terfenolu-D oraz zastosowaniu metody elementów skończonych, wprowadzono procedurę numeryczną o symulacji dynamiki układu sterowania z ujemnym sprzężeniem zwrotnym ze względu na przemieszczenie i prędkość końca aktuatora. Wyniki badań pokazały, że tego typu sterowanie staje się bardziej efektywne niż inne strategie redukcji drgań oparte na modelach liniowych.
Źródło:: Journal of Theoretical and Applied Mechanics; 2007, 45, 4; 953-967
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Model considering residual stiffness and stiffness discontinuity of bolted joints
Autorzy:: Wang, Sheng-Ao
Zhu, Min
Xu, Zi-Jian
Guo, Ming
Li, Biao
Wu, Fei
Powiązania:: https://bibliotekanauki.pl/articles/2087050.pdf
Data publikacji:: 2022
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: nonlinear dynamic behaviour
Iwan model
energy dissipation
Opis:: The nonlinear dynamic behavior has an important impact on energy dissipation and vibra- tion damping characteristics of bolted joints. Firstly, the development of tangential dynamic models is summarized and analyzed. Secondly, a five-parameter Iwan model based on a trun- cated power-law distribution is proposed. The backbone and hysteresis curves are obtained. Thirdly, normalized and dimensionless analysis is performed. On the basis of the above, a more concise four-parameter Iwan model with stiffness continuity is proposed. Finally, the validity of the model is verified by comparing the energy dissipation vs excitation force amplitude curve with the experimental data.
Źródło:: Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 63--75
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: A locally modified single-phase model for analyzing magnetohydrodynamic boundary layer flow and heat transfer of nanofluids over a nonlinearly stretching sheet with chemical reaction
Autorzy:: Akbarzadeh, P.
Powiązania:: https://bibliotekanauki.pl/articles/949119.pdf
Data publikacji:: 2018
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: nanofluid
magnetohydrodynamic
nonlinear stretching sheet
similarity transformation
locally modified single-phase model
Opis:: The problem of boundary layer flow and heat transfer of nanofluids over nonlinear stretching of a flat sheet in the presence of a magnetic field and chemical reaction is investigated numerically. In this paper, a new locally modified single-phase model for the analysis is introduced. In this model, the effective viscosity, density and thermal conductivity of the solid-liquid mixtures (nanofluids) which are commonly utilized in the homogenous single-phase model, are locally combined with the prevalent single-phase model. Similarity transformation is used to convert the governing equations into three coupled nonlinear ordinary differential equations. These equations depend on five local functions of the nanoparticle volume fraction viz., local viscosity ratio, magnetic, Prandtl, Brownian motion and thermophoresis functions. The equations are solved using Newton’s method and a block tridiagonal matrix solver. The results are compared to the prevalent single-phase model. In addition, the effect of important governing parameters on the velocity, temperature, volume fraction distribution and the heat and mass transfer rates are examined.
Źródło:: Journal of Theoretical and Applied Mechanics; 2018, 56, 1; 81-94
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Free vibration of a hyper-elastic microbeam using a new “augmented Biderman model”
Autorzy:: Karami Mohammadi, Ardeshir
Danaee Barforooshi, Saeed
Powiązania:: https://bibliotekanauki.pl/articles/949138.pdf
Data publikacji:: 2019
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: nonlinear vibration
hyper-elastic microbeam
augmented Biderman model
modified couple stress theory
Opis:: A new augmented Biderman model inspired by the modified couple stress theory has been introduced to investigate the size effect in addition to nonlinear material effects. Then, this model is used to investigate free vibration of a hyper-elastic microbeam. Classical Biderman strain energy does not include the effect of small size in hyper-elastic materials. In order to consider the effect of small size, terms inspired by the modified couple stress theory are added to the classical Biderman strain energy function. In order to provide the possibility of calculating these terms, a relation between the material constants in the hyper-elastic Biderman model and the linear elastic constants is obtained. The equations of motion of the microbeam is obtained based on the extended Hamilton principle, and then is solved using Galerkin discretization and perturbation methods. The effect of thickness to length scale ratio on the normalized frequency is studied for different modes. It is shown that when thickness gets larger in comparison with the length scale parameter, the normalized frequency tends to classical Biderman results. The results obtained are validated by results of the Runge-Kutta numerical method and indicate an excellent agreement. Mode shapes of the microbeam based on the classical and the augmented models are depicted, where the augmented model anticipates stiffer behavior for hyperelastic microbeams.
Źródło:: Journal of Theoretical and Applied Mechanics; 2019, 57, 3; 739-750
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Impact of material nonlinearity of dam-foundation rock system on seismic performance of concrete gravity dams
Autorzy:: Ouzandja, Djamel
Messaad, Mokhtar
Berrabah, Amina Tahar
Belhrizi, Mohamed
Powiązania:: https://bibliotekanauki.pl/articles/2200865.pdf
Data publikacji:: 2023
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: concrete gravity dam
dynamic dam-foundation rock interaction
Drucker-Prager model
cracking
nonlinear earthquake analysis
finite element method
Opis:: This paper shows the impact of material nonlinearity of a dam-foundation rock system on seismic performance of Oued Fodda concrete gravity dam, located at northwestern side of Algeria. For the purpose, a three-dimensional dam-foundation rock system finite element model is employed in analyses. The hydrodynamic interaction between reservoir water and dam-foundation system is implicitly taken into consideration by the Westergaard approach using surface finite elements added to dam-fluid and foundation-fluid interfaces. The concrete material model is used to present the cracking of dam concrete under a seismic load the using smeared crack approach based on the Willam and Warnke failure criterion. The materially nonlinear analysis for both dam concrete and foundation rock is performed using Drucker- -Prager model. According to numerical results, tensile stresses and maximum strains reduce significantly in the materially nonlinear model. In addition, the cracking areas in the dam decrease also when material nonlinearity characteristics of the dam-foundation rock system is considered in analyses.
Źródło:: Journal of Theoretical and Applied Mechanics; 2023, 61, 1; 49--63
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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