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The crane’s vibrating systems controlled by mechatronic devices with magnetorheological fluid: the nonlinear mathematical model of behavior and optimization of work regimes

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Category: Geotechnical and mining mechanical engineering, machine building

Last Updated on 14 January 2015

Published on 14 January 2015

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Authors:

V.S. Loveikin, Dr. Sci. (Tech.), Professor, National University of Life and Environmental Sciences of Ukraine, Head of the Department of Machine Building, Kiev, Ukraine

Yu.V. Chovniuk, Cand. Sci. (Tech.), Assoc. Professor, National University of Life and Environmental Sciences of Ukraine, Senior Lecturer of the Department of Machine Building, Kiev, Ukraine

A.P. Liashko, National University of Life and Environmental Sciences of Ukraine, postgraduate student, Kiev, Ukraine

Abstract:

Purpose. To validate the nonlinear mathematical model of behavior and optimization of work regimes for the crane’s vibrating systems controllable by mechatronics’ devices with magnetorheological fluid.

Methodology. We used the methods of mechanics and mathematical physics.

Findings. The nonlinear mathematical model of behavior and optimization of work regimes for the study of the cranes’ vibrating systems controllable by mechatronics’ devices with a magnetorheological fluid are presented.The behavior of controllable viscosity fluid (CVF) under applied external (magnetic)field is presented as well.We have calculated the equivalent damping factor based on the principle of energy dissipated during one cycle of damper work under the external field of constant strength. When mass or stiffness is variable the equivalent damping factor can be set by adjusting the strength of external field to have crane’s vibrating damping system purposely/continuously working in the critical or other chosen mode.

Originality. Use of fluid with magnetorheological effect in crane’s system (in modes start/stop) can reduce significantly unwanted overload, vibrations and resonances arising from them. Also it allows us to optimize the trajectory of their motion depending not only upon standard characteristics (displacement, velocity, acceleration), but also on time derivative of motion law of third-order and fourth-order systems (jerk).

Practical value. This paper also presents cases of applying periodically changing strengths of an external synchronized with cycles of periodical crane’s motion of the vibrating system to continuously optimal control the damping force within each cycle.

References:

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8. Carlson, J.D., Cantanzarite, D.M. and Clair, K.A.S. (1996), “Commercial magnetorheological fluid devices”, International Journal of Modern Physics B, vol.10, pp. 23–24, 2857–2865.

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