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1
Content available remote Influence of Damping on Transverse and Longitudinal Vibrations of T-type Frame
Sochacki W., Bold M.
Machine Dynamics Research
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2017
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Vol. 41, No. 1
143--154
EN
In this paper, the problem of transverse and longitudinal damped vibration of T-type frame was formulated and solved. The vibration energy dissipation in the model occurs as a result of internal, constructional and external damping. Damping in adopted model is a result, of taken into account viscoelastic material of beams that modelled the system, motion resistance in frame supports and influence of medium surrounded the frame. Damped frequencies of vibrations and degree of amplitude decay were calculated. The study also presents eigenvalues of system vibration with respect to changes in damping coefficients and system geometry for selected rigidity of springs.
2
Wpływ oporów ruchu w przegubach układu zmiany wysięgu żurawia samojezdnego na jego drgania poprzeczne
Sochacki W., Bold M.
Modelowanie Inżynierskie
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2016
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T. 27, nr 58
123--131
PL
W niniejszej pracy sformułowano i rozwiązano zagadnienie poprzecznych drgań tłumionych układu zmiany wysięgu żurawia samochodowego. Dyssypacja energii w czasie zmiany wysięgu następuje na skutek oporów ruchu w miejscach mocowania siłownika i wysięgnika do ramy obrotowej żurawia. Miejsca te zamodelowano jako podpory przegubowe z rotacyjnymi tłumikami wiskotycznymi i rotacyjnymi sprężynami o charakterystyce liniowej. W pracy obliczono wartości własne układu przy jego zmiennej geometrii i wybranych wartościach współczynników tłumienia oraz sztywności sprężyn. Porównano wpływ w/w współczynników na tłumione częstości drgań i stopień zaniku amplitud drgań.
EN
In the present work, the problem of transverse damping vibration of truck crane radius change system was formulated and solved. The energy dissipation during changes in overhang is a result of taken into account the movement resistance in the supports of the cylinder and crane boom to the bodywork frame of the crane. Those supports were modelled by the rotational viscous damper and rotational spring with linear characteristic. In this work the results of numerical research taking into consideration influence of changes in geometry of the system and the variable values of damping coefficient and spring rigidity coefficient were presented. The influence on the damped vibration frequency and the degree of vibration amplitude decay of both coefficients were presented.
3
Content available Transverse and longitudinal damped vibration of the Γ type frame
Sochacki W., Bold M.
Journal of Applied Mathematics and Computational Mechanics
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2016
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Vol. 15, nr 2
147--155
EN
In this paper, the problem of transverse and longitudinal damped vibration of the Γ type frame was formulated and solved. The effect of constructional damping of the column support and fixing bolt frame support on degree of vibration amplitude decay was presented. The vibration energy dissipation in the model (modelled by the rotational viscous dampers) is a result of the movement resistance taken into account in the frame supports. The eigenvalues of the system with respect to changes in system geometry and for a selected and variable damping coefficient values were calculated.
4
Content available remote Damped forced vibrations of an elastically connected double-membrane system
Oniszczuk Z.
Vibrations in Physical Systems
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2008
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Vol. 23
295--302
EN
The purpose of the present paper is to consider theoretically damped forced transverse vibrations of an elastically connected rectangular double-membrane system. The system is treated as two viscoelastic membranes joined by a Kelvin-Voigt viscoelastic layer. Applying the modal expansion method, exact analytical solutions of damped forced responses for a simplified model of this system subjected to arbitrarily distributed transverse continuous loads are determined in the case of arbitrary magnitude of linear viscous damping. Nine possible different solutions obtained are described by the combinations of time functions expressing the damped motions for undercritical, critical and overcritical damping cases, according to the mutual relations between physical parameters of the system.
5
Content available The Sturm-Liouville inverse spectral problem with boundary conditions depending on the spectral parameter
Van der Mee C., Pivovarchik V.
Opuscula Mathematica
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2005
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Vol. 25, no. 2
243-260
EN
We present the complete version including proofs of the results announced in [1]. Namely, for the problem of small transversal vibrations of a damped string of nonuniform stiffness with one end fixed we give the description of the spectrum and solve the inverse problem: find the conditions which should be satisfied by a sequence of complex numbers to be the spectrum of a damped string.
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