INFLUENCE OF MECHANICAL AND STRUCTURAL PARAMETERS OF THE ROD WITH MASS DAMPER ON THE NATURAL FREQUENCIES OF TRANSVERSE VIBRATIONS

Authors

  • В. П. Шпачук O.M. Beketov National University of Urban Economy in Kharkiv
  • А. И. Рубаненко O.M. Beketov National University of Urban Economy in Kharkiv
  • Ю. И. Ващенко O.M. Beketov National University of Urban Economy in Kharkiv

Abstract

The problem of free transverse vibrations of the rod with mass damper is considered. The equation of frequencies is obtained using Fourier method. For the given parameters the natural frequencies of transverse vibrations of the rod with mass damper are defined. The features of the spectrum of frequencies for different parameters of stiffness of the rod and the damper, as well as coordinate points of attachment of the damper to the supporting rod, are investigated. It is established that the accession to the rod of the damper leads to the appearance in the frequency spectrum of the system "rod – mass damper" new natural frequencies close to the partial frequency of the damper. Thus, depending on the parameters of the system, the new frequency can be less than, more then and even equal to the partial frequency of the damper. Under certain system parameters there is also the effect of blending two natural frequencies of the rod with mass damper. It is shown that the system will be more resistant to change the frequency of the external influence, if the damper is placed in the loops of the corresponding shapes of the rod without the damper. The solution of the problem takes into account the distribution of frequencies of the rod with the damper, which is particularly important in the application of numerical methods for the assessment of their own performance to assess the effectiveness of the dampers, in particular, in problems with other boundary conditions or for rods with variable cross-section.

Keywords: mass damper, free transverse rod vibrations, natural frequency.

Author Biographies

В. П. Шпачук, O.M. Beketov National University of Urban Economy in Kharkiv

доктор технических наук, профессор кафедры теоретической и строительной механики

А. И. Рубаненко, O.M. Beketov National University of Urban Economy in Kharkiv

кандидат технических наук, доцент кафедры теоретической и строительной механики

Ю. И. Ващенко, O.M. Beketov National University of Urban Economy in Kharkiv

студентка магистратуры

References

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Published

2017-05-26

How to Cite

Шпачук, В. П., Рубаненко, А. И., & Ващенко, Ю. И. (2017). INFLUENCE OF MECHANICAL AND STRUCTURAL PARAMETERS OF THE ROD WITH MASS DAMPER ON THE NATURAL FREQUENCIES OF TRANSVERSE VIBRATIONS. Municipal Economy of Cities, (134), 2–7. Retrieved from https://khg.kname.edu.ua/index.php/khg/article/view/4987

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