Explicit solution for the natural frequency of structures with partial viscoelastic treatment

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Abstract

The free vibration characteristics of structures with viscoelastic treatment are represented by the complex-valued natural frequencies. The assumed single mode representation associated with the low-frequency stiffness of the viscoelastic treatment is modified by a correction term representing the influence from residual vibration modes. The correction term is eliminated in terms of the corresponding natural frequency associated with the high-frequency stiffness of the viscoelastic treatment, whereby an expression is obtained for the complex-valued natural frequency, which only requires the solution of two real-valued eigenvalue problems.
Original languageEnglish
JournalMechanics of Advanced Materials and Structures
Volume23
Issue number7
Pages (from-to)784-790
ISSN1537-6494
DOIs
Publication statusPublished - 2016

Keywords

  • Structural dynamics
  • Mechanical vibrations
  • Viscoelastic damping
  • Natural frequency
  • Modal analysis

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