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Wyświetlanie 31-34 z 34
Tytuł:
Nonlinear Free Vibration Analysis of Micro-beams Resting on Viscoelastic Foundation Based on the Modified Couple Stress Theory
Autorzy:
Jam, J. E.
Noorabadi, M.
Namdaran, N.
Powiązania:
https://bibliotekanauki.pl/articles/139530.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nonlinear free vibration
size dependence
modified couple stress theory
Euler-Bernoulli beam model
Galerkin method
swobodne drgania nieliniowe
zależność od wielkości
zmodyfikowana teoria naprężeń momentowych
model belki Eulera-Bernouliego
metoda Galerkina
Opis:
In this paper, nonlinear free vibration analysis of micro-beams resting on the viscoelastic foundation is investigated by the use of the modified couple stress theory, which is able to capture the size effects for structures in micron and sub-micron scales. To this aim, the governing equation of motion and the boundary conditions are derived using the Euler–Bernoulli beam and the Hamilton’s principle. The Galerkin method is employed to solve the governing nonlinear differential equation and obtain the frequency-amplitude algebraic equation. Finally, the effects of different parameters, such as the mode number, aspect ratio of length to height, the normalized length scale parameter and foundation parameters on the natural frequency-amplitude curves of doubly simply supported beams are studied.
Źródło:
Archive of Mechanical Engineering; 2017, LXIV, 2; 239-256
0004-0738
Pojawia się w:
Archive of Mechanical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modeling and parameter identification of vibrations of a double torsion pendulum with friction
Autorzy:
Czerwiński, E.
Olejnik, P.
Awrejcewicz, J.
Powiązania:
https://bibliotekanauki.pl/articles/387504.pdf
Data publikacji:
2015
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
friction
planar contact
numerical modeling
double torsion pendulum
parameter identification
nonlinear vibrations
kinematic excitation
kinematic forcing mechanism
nelder-mead method
tarcie
modelowanie numeryczne
wahadło podwójne skręcane
identyfikacja parametrów
drgania nieliniowe
wzbudzanie kinematyczne
metoda Neldera-Meada
Opis:
The purpose of this paper is to investigate a double torsion pendulum with planar frictional contact. The single torsion pendulum with one-degree-of-freedom is an angular equivalent of the linear harmonic oscillator. The second degree of freedom has been obtained by adding a free body to the inverted single torsion pendulum. The free body’s angular displacement is caused by frictional forces appearing in the interface (contact zone) between the free body and the pendulum column’s head kinematically excited at its base by a mechanism with torsion spiral spring. An experimental station has been set up and run to find most unknown parameters of the pendulum from the time series of state variables taken as inputs to the Nelder-Mead method of identification. The obtained results proved significant usability of the identification method in the case of numerical simulation of the pendulum’s dynamical model. It has not been satisfactorily proved in the case of time characteristics coming from a real system that exhibits also some unrecognized physical effects.
Źródło:
Acta Mechanica et Automatica; 2015, 9, 4; 204-212
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical model and method of determination of amplitude-frequency characteristics of corrugated cylindrical shells for geometrically nonlinear vibrations
Autorzy:
Marchuk, Mykhailo
Goriachko, Taras
Kindratskyy, Bohdan
Pakosh, Vira
Powiązania:
https://bibliotekanauki.pl/articles/2146612.pdf
Data publikacji:
2020
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
corrugated shell
geometrically nonlinear vibrations
mathematical model
generalized method of perturbations
amplitude-frequency characteristics
powłoka falista
drgania geometrycznie nieliniowe
model matematyczny
uogólniona metoda perturbacji
charakterystyka amplitudowo-częstotliwościowa
Opis:
On the basis of spatial geometrically nonlinear theory of elasticity by using quadratic approximations for components of the vector of displacements along the normal coordinate to the median surface is developed a new mathematical model of nonlinear dynamics of cylindrical shells with corrugated configuration for median surface. The perturbation method for the solution of systems of nonlinear differential equations for problems of determination of amplitude-frequency characteristics is generalized. In a combination of finite element and generalized perturbations methods, a new methodology for solving problems of free geometrically nonlinear vibrations of shells with complex guide geometry was developed and verified. With its help the influence of geometrical parameters of corrugating at circular coordinate on the main frequency of the elongated cylindrical panel is investigated.
Źródło:
Vibrations in Physical Systems; 2020, 31, 3; art. no. 2020316
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear vibrations of the partially tensioned system taking into account the asymmetry of the stiffness of supports
Autorzy:
Uzny, Sebastian
Osadnik, Michał
Powiązania:
https://bibliotekanauki.pl/articles/128293.pdf
Data publikacji:
2019
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
slender nonlinear systems
free vibrations
Euler’s load
nieliniowe układy smukłe
drgania swobodne
obciążenie Eulera
Opis:
The nonlinear vibrations of the partially tensioned slender column are presented in this paper. The considered system is subjected to Euler’s load, which direction of action is consistent with the non-deformed axis of the column. The magnitude of the external load is variable and its application point is located at different heights between the upper and lower supports. In addition, the longitudinal displacement and rotation of both of the system ends are limited by the discrete elements in the form of translational and rotational springs. This nonlinear system is based on the screw drive used in the vertical lift platform for disabled people or cargo lift equipped with an engine room located in the lower part of the frame. The boundary problem of free vibrations of the mentioned system has been formulated on the basis of Bernoulli - Euler theory and due to nonlinear expressions the solution of the problem was conducted with small parameter method. The results of numerical simulations are concern on linear and nonlinear component of vibrations in relation to the location of external load application and influence of asymmetric value of supports stiffness on the free vibration frequency.
Źródło:
Vibrations in Physical Systems; 2019, 30, 2; 1-8
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 31-34 z 34

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