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Wyszukujesz frazę "vibration equations" wg kryterium: Temat


Wyświetlanie 1-5 z 5
Tytuł:
Vibration equations of the coupled torsional, longitudinal, and lateral vibrations of the propeller shaft at the ship stern
Autorzy:
Firouzi, Jabbar
Ghassemi, Hassan
Vakilabadi, Karim Akbari
Tematy:
vibration equations
coupled vibration
shaft and propeller
added mass
ship stern
hydrodynamic coefficients
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Wydawca:
Akademia Morska w Szczecinie. Wydawnictwo AMSz
Powiązania:
https://bibliotekanauki.pl/articles/135360.pdf  Link otwiera się w nowym oknie
Opis:
A propeller shaft generally experiences three linear forces and three moments, the most important of which are thrust, torque, and lateral forces (horizontal and vertical). Thus, we consider 4DOFs (degrees of freedom) of propeller shaft vibrations. This paper is presented to obtain the vibration equations of the various coupled vibrations of the propeller shaft at the stern of a ship (including coupled torsional-axial, torsional-lateral, axial-lateral, torsional-axial, and lateral vibrations). We focused on the added hydrodynamic forces (added mass and added damping forces) due to the location of the propeller behind the ship. In this regard, the 4DOFs of the coupled vibration (torsional-longitudinal and lateral vibrations in the horizontal and vertical directions) equations of shaft and propeller systems located behind a ship were extracted with and without added mass and damping forces. Also, the effect of mass eccentricity was considered on vibrations occurring at the rear of the ship.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytical approach calculating eigenfrequencies and modes of stator cores in AC machines
Autorzy:
Witczak, P.
Tematy:
dergania własne
równanie równiczkowe
natural vibration
AC machines
differential equations
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Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:
https://bibliotekanauki.pl/articles/140608.pdf  Link otwiera się w nowym oknie
Opis:
The paper describes analytical approach solving the problem of dynamic analysis of two-dimensional fields of vibrational displacements and rotations caused by magnetic forces acting on stator of AC machine. Final set of three differential equations converted into algebraic ones is given and it is confronted with numerical solutions obtained by finite element method.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Adaptive Vibration Control Procedure Based on Symbolic Solution of Diophantine Equation
Autorzy:
Leniowska, L.
Tematy:
adaptive control
vibration cancellation
diophantine equations
self-tuning control
RLS algorithm
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Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:
https://bibliotekanauki.pl/articles/176951.pdf  Link otwiera się w nowym oknie
Opis:
In this paper, the adaptive control based on symbolic solution of Diophantine equation is used to suppress circular plate vibrations. It is assumed that the system to be regulated is unknown. The plate is excited by a uniform force over the bottom surface generated by a loudspeaker. The axially-symmetrical vibrations of the plate are measured by the application of the strain sensors located along the plate radius, and two centrally placed piezoceramic discs are used to cancel the plate vibrations. The adaptive control scheme presented in this work has the ability to calculate the error sensor signals, to compute the control effort and to apply it to the actuator within one sampling period. For precise identification of system model the regularized RLS algorithm has been applied. Self-tuning controller of RST type, derived for the assumed system model of the 4th order is used to suppress the plate vibration. Some numerical examples illustrating the improvement gained by incorporating adaptive control are demonstrated.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the nonlinear analysis of isotropic circular plate resting on viscoelastic foundation
Autorzy:
Salawu, Saheed Afolabi
Sobamowo, Gbeminiyi Musibau
Tematy:
Duffing equations
Optimal Homotopy Asymptotic Methods
Winkler and Pasternak
circular plate
nonlinear vibration
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Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Powiązania:
https://bibliotekanauki.pl/articles/1031842.pdf  Link otwiera się w nowym oknie
Opis:
Nonlinear analysis of isotropic circular plate resting on viscoelastic foundation is investigated. The dynamic analogue of Von Kármán equations is considered in establishing the governing equation also, consideration is given to symmetric and axisymmetric mode. Thereafter, the coupled nonlinear partial differential equations are transformed to Duffing equation using Galerkin method and analysed using Optimal Homotopy Asymptotic Method (OHAM). Subsequently, the analytical solutions are used to investigate the influence of various parameters on the dynamic response of the plate. It is observed that, nonlinear frequency ratio increases with increase linear Winkler, Pasternak foundation and tensile force. Nevertheless, it is established that the nonlinear frequency ratio of the plate decreases as nonlinear Winkler foundation and compressive force increase. Also, the results revealed that both clamped and simply supported edge condition results in softening nonlinearity behaviour. Conversely, axisymmetric case of vibration gives lower nonlinear frequency ratio compared to asymmetric case. Furthermore, maximum deflection occurs when excitation force is zero, likewise the presence of viscoelastic foundation results in attenuation of deflection for the circular plate. It is expected that findings from the study will add values to the existing knowledge of classical vibration.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical investigation of geometrically nonlinear clamped uniform rods and rods with sections varying exponentially free vibration
Autorzy:
Abdeddine, E.
Majid, A.
Bouzida, N.
Bouzida, Z.
Zarbane, Kh.
Tematy:
non-linear longitudinal vibration
Lagrange equations
harmonic balance method
linearized approach
drgania nieliniowe
drgania podłużne
równania Lagrange'a
metoda bilansu harmonicznych
podejście linearne
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Wydawca:
Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
Powiązania:
https://bibliotekanauki.pl/articles/2201031.pdf  Link otwiera się w nowym oknie
Opis:
Purpose: The present paper is intended to investigate the problem of linear and non-linear longitudinal free vibration of uniform rods and rods whose cross-sections vary exponentially at large vibration amplitudes. Design/methodology/approach: The method adopted consists in discretizing the energy term on linear kij and non-linear rigidity tensor bijkl, as well as the mass tensor mij. Therefore, the formulation of this structure is based on Lagrange equations and the harmonic balance method so as to obtain the nonlinear algebraic equations. These latter are solved numerically and analytically through the explicit and linearized method. Findings: The response of Clamped-Clamped uniform and non-uniform rods on our structure are highlighted in the amplitude frequency and associated first three mode shapes. Moreover, this research leads to study the influence of the exponential slope on the maximum displacement, thus emphasizing the non-uniform bars usefulness. The obtained results are then compared with the available literature with a view to validating this theory. Research limitations/implications: As a perspective, the method used in this paper would be pushed to study the FDM material, taking into account other parameters related to additive manufacturing, and later to be validated experimentally. Practical implications: Longitudinal vibrations are important in mechanical structures; therefore, the determination of their dynamic behaviour needs to be understood. In the present study, the effect of the displacement amplitude on the exponential slope of the structure was analysed, which led to the determination of the reduction range of the vibration amplitude under resonance. However, this should be taken into account in the design process. Besides, the usefulness of the non-linearity geometric effects was demonstrated to examine these structures by considering all the parameters involved. Originality/value: A linearized procedure is used to solve a nonlinear algebra equation. The use of this method leads to reduce calculation time contrary to iterative methods.
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-5 z 5

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