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Effect of inertia nonlinearity on dynamic response of an asymmetric building equipped with tuned mass dampers

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Abstract

This study investigates the effect of nonlinear inertia on the dynamic response of an asymmetric building equipped with Tuned Mass Dampers (TMDs). In the field of structural engineering, many researchers have developed models to study the behavior of nonlinear TMDs, but the effect of nonlinear inertia has not received as much attention for asymmetric buildings. To consider nonlinear inertia, the equations of motion are derived in a local rotary coordinates system. The displacements and rotations of the modeled building and TMDs are defined by five-degree-of-freedom (5-DOFs). The equations of motion are derived by using the Lagrangian method. Also in the proposed nonlinear model, the equations of motion are different from a conventional linear model. In order to compare the response of the proposed nonlinear model and a conventional linear model, numerical examples are presented and the response of the modeled buildings are derived under harmonic and earthquake excitations. It is shown that if the nonlinear inertia is considered, the response of the modeled structures changes and the conventional linear approach cannot adequately model the dynamic behavior of the asymmetric buildings which are equipped with TMDs.

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References

  • Alexander NA and Schilder F (2009), “Exploring the Performance of a Nonlinear Tuned Mass Damper,” Journal of Sound and Vibration, 319: 445–462.

    Article  Google Scholar 

  • Amin Afshar M and Aghaei Pour S (2016), “On Inertia Nonlinearity in Irregular-Plan Isolated Structures under Seismic Excitations,” Journal of Sound and Vibration, 363: 495–516.

    Article  Google Scholar 

  • Amini F and Amin Afshar M (2011), “Saturation in Asymmetric Structures under Internal Resonance,” Acta Mechanica, 221: 353–368.

    Article  Google Scholar 

  • Djemal F, Chaari F, Dion JL, Renaud F, Tawfiq I and Haddar M (2015), “Performance of a Nonlinear Dynamic Vibration Absorbers,” Journal of Mechanics, 1–9.

  • Eason RP, Sun C, Dick AJ and Nagarajaiah S (2015), “Steady-State Response Attenuation of a Linear Oscillator-Nonlinear Absorber System by Using an Adjustable-Length Pendulum in Series: Numerical and Experimental Results,” Journal of Sound and Vibration, 344: 332–344.

    Article  Google Scholar 

  • Guo W, Li HN, Liu GH and Yu ZW (2012), “A Simplified Optimization Strategy for Nonlinear Tuned Mass Damper in Structural Vibration Control,” Asian Journal of Control, 14(5): 1–11.

    Google Scholar 

  • Hosseini SAA and Khadem SE (2009), “Free Vibrations Analysis of a Rotating Shaft with Nonlinearities in Curvature and Inertia,” Mechanism and Machine Theory, 44: 272–288.

    Article  Google Scholar 

  • Hsiao FH, Chen CW, Wu YH and Chiang WL (2005), “Fuzzy Controllers for Nonlinear Interconnected TMD Systems with External Force,” Journal of Chinese Institute of Engineers, 28(1): 175–181.

    Article  Google Scholar 

  • Li L and Cui P (2017), “Novel Design Approach of a Nonlinear Tuned Mass Damper with Duffing Stiffness,” Journal of Engineering Mechanics, 143(4).

  • Mamandi A, Kargarnovin MH and Younesian D (2010), “Nonlinear Dynamics of an Inclined Beam Subjected to a Moving Load,” Nonlinear Dynamics, 60: 277–293.

    Article  Google Scholar 

  • Mayet J and Ulbrich H (2015), “First-Order Optimal Linear and Nonlinear Detuning of Centrifugal Pendulum Vibration Absorbers,” Journal of Sound and Vibration, 335: 34–54.

    Article  Google Scholar 

  • Nayfeh AH (2000), Nonlinear Interactions: Analytical, Computational, and Experimental Methods, Wiley-Interscience, New York.

    Google Scholar 

  • Trombetti TL and Conte JP (2005), “New Insight into and Simplified Approach to Seismic Analysis of Torsionally Coupled One-Story, Elastic Systems”, Journal of Sound and Vibration, 286: 265–312.

    Article  Google Scholar 

  • Viet LD and Nghi NB (2014), “On a Nonlinear Single-Mass Two-Frequency Pendulum Tuned Mass Damper to Reduce Horizontal Vibration,” Engineering Structures, 81: 175–180.

    Article  Google Scholar 

  • Wang M (2011), “Feasibility Study of Nonlinear Tuned Mass Damper for Machining Chatter Suppression,” Journal of Sound and Vibration, 330: 1917–1930.

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. School of Civil Engineering, Iran University of Science and Technology, P.O. Box 16765-163, Tehran, Iran

    Hassan Rezazadeh & Fereidoun Amini

  2. Department of Technology and Engineering, Imam Khomeini International University Norouzian, P.O. Box 34149-16818, Qazvin, Iran

    Majid Amin Afshar

Authors
  1. Hassan Rezazadeh
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  2. Fereidoun Amini
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  3. Majid Amin Afshar
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Correspondence to Fereidoun Amini.

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Rezazadeh, H., Amini, F. & Afshar, M.A. Effect of inertia nonlinearity on dynamic response of an asymmetric building equipped with tuned mass dampers. Earthq. Eng. Eng. Vib. 19, 499–513 (2020). https://doi.org/10.1007/s11803-020-0577-7

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  • DOI: https://doi.org/10.1007/s11803-020-0577-7

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