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Journal ArticleDOI

Transition over resonance and power requirements of an unbalanced mass-driven vibratory system

01 Jan 1986-Mechanism and Machine Theory (Pergamon)-Vol. 21, Iss: 1, pp 73-85
TL;DR: In this article, the transition over resonance of a vibratory system, excited by rotating unbalances, is considered in terms of the maximum vibrational amplitude produced and the power demand on the drive for the cross-over.
Abstract: The transition over resonance of a vibratory system, excited by rotating unbalances, is important in terms of the maximum vibrational amplitude produced and the power demand on the drive for the cross-over. For drive by AC 3 phase squirrel cage induction motors, the phenomenon is studied with the help of nondimensional paramaters. It is observed that, for low damping, the transitional power demand can be many times more than that at the steady state. A procdure is outlined for the selection of a suitable drive motor to meet this demand. The steady state power requirements of the vibrator is also clarified. An expression is also given for estimating the maximum amplitude of vibration during the cross-over.
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01 Dec 1973

779 citations

Journal ArticleDOI
J. Wauer, S. Suherman1
TL;DR: In this article, a method suggested in the past to suppress the vibrations of flexible rotor systems passing through critical speeds is reconsidered, where an appropriate switching of the system stiffness (by using shape memory alloys, for instance) is utilized.
Abstract: A method suggested in the past to suppress the vibrations of flexible rotor systems passing through critical speeds is reconsidered. An appropriate switching of the system stiffness (by using shape memory alloys, for instance) is utilized. To model the nonstationary system behavior more realistically, the rotor is driven by a limited power supply. A special feature is the inclusion of unequal bending stiffnesses of the shaft. The stationary and transient behavior of the motor and system characteristic and the deformation amplitudes and phase angles, are examined. Attention is focussed on the strategy for switching the stiffness to yield small resonance deflections.

25 citations

Journal ArticleDOI
TL;DR: In this article, two positive position feedback controllers (PPF) are used to reduce the vertical vibration in the vertical conveyors of a four-degree-of-freedom system with cubic nonlinearities and external excitations at primary resonance.
Abstract: In this paper, the two positive position feedback controllers (PPF) are used to reduce the vertical vibration in the vertical conveyors. An investigation is presented of the response of a four-degree-of-freedom system (4-DOF) with cubic nonlinearities and external excitations at primary resonance $$(\Omega _1 \cong \omega _1 ,\Omega _2 \cong \omega _2)$$ in the presence of 1:1 internal resonance $$(\omega _3 \cong \omega _1 ,\omega _4 \cong \omega _2)$$ . Method of multiple scales is applied to the equations of the system to find approximate analytical solutions. Then, we derived the frequency response equation and the stability criteria for the system. Numerical solution show that the time histories of the main system and the PPF controllers to present the response with and without control. The frequency response curves for the system and the controllers are studied numerically. To discuss the validity of the results, we make comparison between the analytical and numerical solutions and also compared them with the available published work.

14 citations

Journal ArticleDOI
TL;DR: In this article, the working ranges of oscillating shaking conveyers with a non-ideal vibration exciter have been analyzed analytically for primary resonance by the method of multiple scales with reconstitution, and numerically.
Abstract: Vibrational conveyers with a centrifugal vibration exciter transmit their load based on the jumping method. The trough is oscillated by a common unbalanced-mass driver. This vibration causes the load to move forward and upward. The motion is substantially related to the vibrational parameters. The transition of the vibratory system for over resonance excited by rotating unbalances is important in terms of the maximum vibrational amplitude and the power requirement from the drive for the cross-over. The mechanical system depends on the motion of the DC motor. In this study, the working ranges of oscillating shaking conveyers with a non-ideal vibration exciter have been analyzed analytically for primary resonance by the method of multiple scales with reconstitution, and numerically. The analytical results obtained in this study have been compared with the numerical results, and have been found to be well matched.

10 citations

Journal ArticleDOI
TL;DR: In this article, the working ranges of oscillating shaking conveyers with nonideal vibration exciter have been analyzed analytically for superharmonic and subharmonic resonances by the method of multiple scales and numerically.
Abstract: Vibrational conveyers with a centrifugal vibration exciter transmit their load based on the jumping method. Common unbalanced-mass driver oscillates the trough. The motion is strictly related to the vibrational parameters. The transition over resonance of a vibratory system, excited by rotating unbalances, is important in terms of the maximum vibrational amplitude produced and the power demand on the drive for the crossover. The mechanical system is driven by the DC motor. In this study, the working ranges of oscillating shaking conveyers with nonideal vibration exciter have been analyzed analytically for superharmonic and subharmonic resonances by the method of multiple scales and numerically. The analytical results obtained in this study agree well with the numerical results.

7 citations

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