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Nonlinear vibration absorbers applied on footbridges

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Abstract

This paper deals with the performance of linear and nonlinear dynamic vibration absorbers (DVAs) to suppress footbridges vertical vibrations. The walking pedestrian vertical force is modeled as a moving time-dependent force and mass. The partial differential equations govern the dynamics of the system; such equations are reduced to a set of ordinary differential equations by means of the Bubnov–Galerkin method with an accurate multimode expansion of the displacement field. The optimal vibration absorber parameters are determined using two objective functions: maximum footbridge deflection and the transferred energy from the footbridge to the DVA. The most suitable nonlinear DVA is proposed for the investigated footbridge. The results show that the DVAs with quadratic nonlinearity are the most performant DVAs.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, 76175-133, Kerman, Iran

    Hamed Saber & Farhad S. Samani

  2. Department of Engineering “Enzo Ferrari”, University of Modena and Reggio Emilia, Modena, Italy

    Francesco Pellicano

Authors
  1. Hamed Saber
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  2. Farhad S. Samani
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  3. Francesco Pellicano
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Correspondence to Farhad S. Samani.

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Saber, H., Samani, F.S. & Pellicano, F. Nonlinear vibration absorbers applied on footbridges. Meccanica 56, 23–40 (2021). https://doi.org/10.1007/s11012-020-01262-7

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