Free vibrations of a rotating inclined beam

Sen-Yung Lee, Jer Jia Sheu

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


By utilizing the Hamilton principle and the consistent linearization of the fully nonlinear beam theory, two coupled governing differential equations for a rotating inclined beam are derived. Both the extensional deformation and the Coriolis force effect are considered. It is shown that the vibration system can be considered as the superposition of a static subsystem and a dynamic subsystem. The method of Frobenius is used to establish the exact series solutions of the system. Several frequency relations that provide general qualitative relations between the natural frequencies and the physical parameters are revealed without numerical analysis. Finally, numerical results are given to illustrate the general Qualitative relations and the influence of the physical parameters on the natural frequencies of the dynamic system.

Original languageEnglish
Pages (from-to)406-414
Number of pages9
JournalJournal of Applied Mechanics, Transactions ASME
Issue number3
Publication statusPublished - 2007 May 1

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Free vibrations of a rotating inclined beam'. Together they form a unique fingerprint.

Cite this