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Vibrations of the Mass Variable Systems

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Acoustics and Vibration of Mechanical Structures—AVMS 2019

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 251))

Abstract

There are a significant number of systems with time-variable mass. The mass variation may be continual or discontinual. During discontinual mass change, a body with certain mass is added to or separated from an initial body. During this process, the position of acting parts is assumed to be unmovable, while their velocities have the jump-like variation. The effect of discontinual mass variation is evident during fracture of the body. The result of dynamic analysis of mass variation gives the prediction of kinematic properties of the separating and remaining bodies. It is concluded that the discontinual separation is the opposite process to the impact of bodies. Theoretical results are supported with an example of a windmill with bended or broken blades. If the separation or addition of mass is continual and slow, during mass variation a reactive force and a reactive torque occur, which are the product of mass time derivative and of the velocity change and the product of the time derivative of the moment of inertia moment and angular velocity, respectively. This force and torque excite vibration in the system. It is of interest to investigate the influence of the reactive force and torque on the oscillatory behavior of the system. Mathematical model of the system is formed, and methods for solving equations with slow time-variable parameters are developed. The obtained results are convenient for dynamic analysis. In this paper, the vibrations of the rotor, as a two-degree-of-freedom system, are considered. The effect of reactive force on the motion of the sieve for particle separation is also discussed.

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Acknowledgements

Investigation is supported by Faculty of Technical Sciences in Novi Sad (Proj. No. 05/2019).

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Authors and Affiliations

  1. University of Novi Sad, Trg D. Obracovica 6, Novi Sad, Serbia

    Livija Cveticanin

  2. Obuda University, Nepszinhaz uU. 7, Budapest, Hungary

    Livija Cveticanin

  3. Remming, B. Nusica 15, Novi Sad, Serbia

    Dragan Cveticanin

Authors
  1. Livija Cveticanin
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  2. Dragan Cveticanin
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Correspondence to Livija Cveticanin .

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Editors and Affiliations

  1. Department of Mechanics and Strength of Materials, University Politehnica Timisoara, Timisoara, Romania

    Nicolae Herisanu

  2. Department of Mechanics and Strength of Materials, University Politehnica Timisoara, Timisoara, Romania

    Vasile Marinca

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Cveticanin, L., Cveticanin, D. (2021). Vibrations of the Mass Variable Systems. In: Herisanu, N., Marinca, V. (eds) Acoustics and Vibration of Mechanical Structures—AVMS 2019. Springer Proceedings in Physics, vol 251. Springer, Cham. https://doi.org/10.1007/978-3-030-54136-1_3

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