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.
This study presents the influence of different kinds of damping on transverse and longitudinal vibrations of hydraulic cylinder in a mining prop. The dissipation of vibration energy in the model is caused by simultaneous internal damping of viscoelastic material of beams that model the system, external viscous damping and constructional damping. Constructional damping (modelled by the rotational viscous dampers) occurs as a result of movement resistance in the cylinder supports. The eigenvalues of the system with respect to changes in system geometry with two values of load and for a selected and variable damping coefficient values were calculated.
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.
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.
This study formulates and solves the problem of transverse damped vibration in the system of changing the boom radius in a truck crane with advanced cylinder design for controlling the boom radius. The dissipation of vibration energy in the model adopted in the study occurs as a result of internal damping of the viscoelastic material (rheological Kelvin-Voigt model) of the beams that model the system and movement resistance in the supports of the cylinder and crane boom to the bodywork frame of the crane. Damped frequencies of vibrations and degree of vibration amplitude decay were calculated. The study also presents eigenvalues of system vibration with respect to changes in damping coefficients and system geometry for a selected load.
In the present work a problem pertaining to the damped lateral vibrations of the truck crane radius change system has been formulated and solved. In the adopted model the vibration energy dissipation derives from the internal damping of the viscoelastic material (the Kelvin– Voigt rheological model) of beams that model the system and from the resistance motion in the supports of a telescopic boom and the hydraulic cylinder.
PL
W niniejszej pracy rozważa się tłumione drgania układu zmiany wysięgu żurawia samochodowego DST0285. Obszerną literaturę dotyczącą drgań żurawi samochodowych i ich elementów zawarto w monografiach [1, 2]. Badania drgań swobodnych układu zmiany wysięgu żurawia przedstawiono w pracy [3]. W zbudowanym modelu przyjęto, że rozproszenie energii drgań w czasie zmiany wysięgu powstaje na skutek tłumienia wewnętrznego materiału lepkosprężystego układu oraz poprzez wprowadzenie do modelu rotacyjnych tłumików wiskotycznych w miejscach mocowania siłownika i wysięgnika do ramy nadwozia.
In this paper a problem pertaining to the damped lateral vibrations of a beam with different boundary conditions and with a rotational spring is formulated and solved. In the adopted model the vibration energy dissipation derives from the internal damping of the viscoelastic material (Kelvin–Voigt rheological model) of the beam and from the resistance motion in the supports. The rotational spring can be mounted at any chosen position along the beam length. The influence of step changes in the cross-section of the beam on its damped lateral vibrations is also investigated in the paper. The damped vibration frequency and the vibration amplitude decay level are calculated. Changes in the eigenvalues of the beam vibrations along with the changes in the damping ratio and the change in the model geometry observed on it are also presented. The considered beam was treated as Euler- Bernoulli beam.
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This study formulates and solves the problem of transverse damped vibrations in a crane boom of a truck-mounted crane. Dissipation of vibration energy in the model adopted results from motion resistance in slides between the moving components of the crane boom. A damping using Kelvin-Voigt model that characterizes dynamic properties of slides was added to the system. The effect of changes in damping coefficient and rigidity of springs on eigenvalues of the system studied was presented. The damped vibration frequencies and the degree of amplitude decay were calculated.
9
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This study formulates and solves the problem of transverse damped vibrations in a crane boom of a truck-mounted crane. Dissipation of vibration energy in the model adopted in the study occurs as a result of internal damping of the viscoelastic material (rheological Kelvin-Voigt model) of the beams that model the system and motion resistance in slides between the moving components of the crane boom. 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.
W niniejszej pracy przedstawiono model drgań układu zmiany wysięgu żurawia samochodowego z rozbudowanym modelem siłownika zmieniającego wysięg. Sformułowano i rozwiązano zagadnienie poprzecznych drgań tłumionych tego układu. Przyjęto, że rozproszenie energii drgań wynika z uwzględnienia oporów ruchu w miejscach mocowania siłownika i wysięgnika do ramy obrotowej żurawia. Jako wyniki rozwiązania zagadnienia przedstawiono wpływ tłumienia konstrukcyjnego mocowań na wartości własne badanego układu. Obliczono tłumione częstości drgań i stopień zaniku amplitud drgań wybranych postaci drgań. Przedstawiono zmiany wartości własnych drgań układu ze zmianą siły obciążającej oraz ze zmianą geometrii układu.
EN
In the work a truck crane telescopic boom with a complex hydraulic cylinder vibration model was presented. The problem of transverse damping vibration of this system was formulated and solved. It was assumed, that the vibration energy dissipation is a result of taken into account the resistance motion in the supports of a telescopic boom and the hydraulic cylinder (changing the crane radius). The influence of the structural damping of supports on the damped frequencies and amplitude decay factor of the chosen modes was studied. The eigenvalues changes along with the change of the load, and with the change of the geometry of the system were presented.
In the present work a problem pertaining to the damped lateral vibrations of the truck crane radius change system with the developed hydraulic cylinder model that changes the radius has been formulated and solved. In the adopted model the vibration energy dissipation derives from the internal damping of the viscoelastic material (the Kelvin-Voigt rheological model) of beams that model the system. Damped vibration frequency and the vibration amplitude decay level have been calculated. Changes of the eigenvalues of system vibrations with the damping ratio change and the change of the system geometry with different loads observed on it have been presented.
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