Modal Analysis of Nonviscously Damped Beams

S Adhikari, MI Friswell

Research output: Contribution to journalArticle (Academic Journal)peer-review

22 Citations (Scopus)


Linear dynamics of Euler-Bernoulli beams with non-viscous non-local damping is considered. It is assumed that the damping force at a given point in the beam depends on the past history of velocities at different points via convolution integrals over exponentially decaying kernel functions. Conventional viscous and viscoelastic damping models can be obtained as special cases of this general damping model. The equation of motion of the beam with such a general damping model results in a linear partial integro-differential equation. Exact closed-form equations of the natural frequencies and mode-shapes of the beam are derived. Numerical examples are provided to illustrate the new results.
Translated title of the contributionModal Analysis of Nonviscously Damped Beams
Original languageEnglish
Pages (from-to)1026 - 1030
Number of pages5
JournalJournal of Applied Mechanics
Volume74, (5)
Publication statusPublished - Sept 2007

Bibliographical note

Publisher: ASME


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