Advertisement

Tuning TMDs to “Fix” Floors in MDOF Shear Buildings

  • Jennifer Rinker
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

Many researchers have examined the optimal design of tuned mass dampers (TMDs) for vibration reduction in single-degree-of-freedom (SDOF) and multiple-degree-of-freedom (MDOF) systems. This work focuses on the design of damped TMDs to “fix” selected floors of a harmonically base-excited building in shear such that the vibrational amplitudes of the selected floors are zero. This method does not require the fixed floors, referred to as “fixed nodes,” to coincide with the floors to which the TMDs are attached. This paper presents the proposed tuning method and addresses the feasible arrangements of the fixed and TMD floors. The proposed tuning method is demonstrated with a simulation of a 3-DOF shear building, along with a discussion on the effects of mistuning on the TMD performance.

Keywords

tuned-mass dampers shear buildings tuning procedure base excitation enforcing nodes 

References

  1. 1.
    Den Hartog JP (1934) Mechanical vibrations. McGraw-Hill Book Company, New YorkGoogle Scholar
  2. 2.
    Jacquot RG (1978) Optimal dynamic vibration absorbers for general beam system. J Sound Vib 60(4):535–542CrossRefGoogle Scholar
  3. 3.
    Zuo L, Nayfeh SA (2004) Minimax optimization of multi-degree-of-freedom tuned-mass dampers. J Sound Vib 272(3–5):893–908CrossRefGoogle Scholar
  4. 4.
    Luft RW (1979) Optimal tuned mass dampers for buildings. J Struct Div–ASCE 105(12):2766–2772Google Scholar
  5. 5.
    Cha PD (2005) Enforcing nodes at required locations in a harmonically excited structure using simple oscillators. J Sound Vib 279(3–5):799–781CrossRefGoogle Scholar
  6. 6.
    Cha PD, Ren G (2006) Inverse problem of imposing nodes to suppress vibration for a structure subjected to multiple harmonic excitations. J Sound Vib 290(1–2):425–447CrossRefGoogle Scholar
  7. 7.
    Cha PD, Rinker JM Enforcing nodes to suppress vibration along a harmonically forced damped Euler-Bernoulli beam. J Vib Acoust 134:5Google Scholar

Copyright information

© The Society for Experimental Mechanics, Inc. 2013

Authors and Affiliations

  1. 1.Duke UniversityDurhamUSA

Personalised recommendations