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Research on the design of non-traditional dynamic vibration absorber for damped structures under ground motion

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Abstract

An analytical approach is presented to investigate the optimal problem of non-traditional type of Dynamic vibration absorber (DVA) for damped primary structures subjected to ground motion. Different from the standard configuration, the non-traditional DVA contains a linear viscous damper connecting the absorber mass directly to the ground instead of the main mass. There have been many studies on the design of the non-traditional DVA for undamped primary structures. Those studies have shown that the non-traditional DVA produces better performance than the standard DVA does. When damping is present at the primary system, there are very few works on the non-traditional dynamic vibration absorber. To the best of our knowledge, there is no study on the design of non-traditional DVA for damped structures under ground motion. We propose a simple method to determine the approximate analytical solutions of the nontraditional DVA when the damped primary structure is subjected to ground motion. The main idea of the study is based on the criterion of the equivalent linearization method to replace approximately the original damped structure by an equivalent undamped one. Then the approximate analytical solution of the DVA’s parameters is given by using known results for the undamped structure obtained. Comparisons have been done to validate the effectiveness of the obtained results.

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Authors and Affiliations

  1. Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam

    N. D. Anh

  2. VNU University of Engineering and Technology, Hanoi, Vietnam

    N. D. Anh

  3. VNU University of Science, Hanoi, Vietnam

    N. X. Nguyen

Authors
  1. N. D. Anh
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  2. N. X. Nguyen
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Corresponding author

Correspondence to N. X. Nguyen.

Additional information

Recommended by Associate Editor Moon Ki Kim

Nguyen Dong Anh currently works at Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam. He received his Dr.Sci. in Mathematics and Physics from the Institute of Mathematics, Kiev, Ukraine. His research fields are nonlinear random vibration and structural control.

Nguyen Xuan Nguyen received his M.Sci. in Mechanics from Vietnam National University, Hanoi, Vietnam in 2008. He is currently a lecturer at the Department of Mathematics, Mechanics and Informatics, VNU University of Science, Hanoi, Vietnam. His research interests include structural dynamics and vibration control.

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Anh, N.D., Nguyen, N.X. Research on the design of non-traditional dynamic vibration absorber for damped structures under ground motion. J Mech Sci Technol 30, 593–602 (2016). https://doi.org/10.1007/s12206-016-0113-x

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  • DOI: https://doi.org/10.1007/s12206-016-0113-x

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