Non-uniform timoshenko beams with time-dependent elastic boundary conditions

S. Y. Lee, S. M. Lin

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


A solution procedure for studying the dynamic responses of a non-uniform Timoshenko beam with general time-dependent boundary conditions is developed by generalizing the method of Mindlin-Goodman and utilizing the exact solutions of non-uniform Timoshenko beam vibration given by Lee and Lin. A general change of dependent variable with shifting functions is introduced and the physical meanings of these shifting functions are further explored. The orthogonality condition for the eigenfunctions of a non-uniform Timoshenko beam with elastic boundary conditions is also derived. Several limiting cases and their corresponding procedures are revealed. Finally, the influence of the spring constant on the steady response of a beam subjected to a harmonic base excitation is investigated.

Original languageEnglish
Pages (from-to)223-238
Number of pages16
JournalJournal of Sound and Vibration
Issue number2
Publication statusPublished - 1998 Oct 22

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering


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