Free Vibration of Stepped Beams

by L. A. Bergman, Univ of Illinois, Urbana, United States,
J. Lee, Univ of Illinois, Urbana, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond


This paper addresses the free vibration of a stepped Euler-Bernoulli beam using dynamic flexibility methods. The characteristic equation of the system is derived, from which the system eigenvalues are found, and a concise expression is given for the system eigenfunctions. Several examples are discussed.

Subject Headings: Vibration | Beams | Dynamic analysis | Girders | Stiffening | Eigenvalues

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