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Dynamics and Performance Analysis of a Nonlinear Energy Sink with Geometric Nonlinear Dam**

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Advances in Nonlinear Dynamics

Part of the book series: NODYCON Conference Proceedings Series ((NCPS))

Abstract

Nonlinear energy sink (NES) is a passive device to achieve vibration absorption. In this device, the transfer of energy between the linear oscillator and the NES is accomplished through a targeted energy transfer (TET). The irreversible transfer of energy is effectively used in a number of practical applications to reduce the vibration of externally excited systems. NES generally has a small mass, an essentially nonlinear stiffness element, and a damper to dissipate the energy. Previous studies considered the dam** in the system as an idealized linear viscous damper. In this chapter, a velocity–displacement-dependent nonlinear dam** mechanism obtained by the geometric configuration of linear viscous damper is considered. NES with geometric nonlinear dam** is implemented on a two-degree-of-freedom system with the primary mass excited harmonically. The dynamics of the system is investigated using the complex-averaging method (CXA) to identify the slow and fast modulations. Periodic solutions of the system are obtained by the harmonic balance method (HBM). Parametric continuation is carried out to acquire the frequency response plots. Compared to the one with linear viscous dam**, the NES with geometric nonlinear dam** is found more effective. The regions of strongly modulated resonance (SMR) are also identified by numerical simulations. This chapter provides an insight into the use of nonlinear dam** mechanisms in NES and helps to develop efficient passive vibration absorption systems based on NES.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, India

    Rony Philip, B. Santhosh & Bipin Balaram

Authors
  1. Rony Philip
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  2. B. Santhosh
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  3. Bipin Balaram
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Corresponding author

Correspondence to B. Santhosh .

Editor information

Editors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome, Italy

    Walter Lacarbonara

  2. Department of Mechanical Engineering, University of Maryland, College Park, MD, USA

    Balakumar Balachandran

  3. Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA

    Michael J. Leamy

  4. Department of Physics, Lanzhou University of Technology, Lanzhou, Gansu, China

    Jun Ma

  5. ISEP-Institute of Engineering, Polytechnic of Porto, Porto, Portugal

    J. A. Tenreiro Machado

  6. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary

    Gabor Stepan

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Philip, R., Santhosh, B., Balaram, B. (2022). Dynamics and Performance Analysis of a Nonlinear Energy Sink with Geometric Nonlinear Dam**. In: Lacarbonara, W., Balachandran, B., Leamy, M.J., Ma, J., Tenreiro Machado, J.A., Stepan, G. (eds) Advances in Nonlinear Dynamics. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-030-81166-2_9

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  • DOI: https://doi.org/10.1007/978-3-030-81166-2_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-81165-5

  • Online ISBN: 978-3-030-81166-2

  • eBook Packages: EngineeringEngineering (R0)

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