TRANSIENT VIBRATIONS OF A ROTATING BEAM

This paper deals with the transient vibrations of a beam subjected to variable rotations. Taking account of rotary inertia, the fundamental equations of motion for the rotating Timoshenko beam are derived from Hamilton's principle. They are simplified by assuming that the shear deformation and rotary inertia can be negligible. The simplified equations are the same as for the Euler-Bernoulli beam. The natural frequencies are calculated using the Southwell coefficient to define the geometry of the beam and the mode shape. Finally, the time responses of the rotating Euler-Bernoulli beam are determined numerically by transformation into a finite-difference equation. The dynamic responses of the beam are analysed and discussed.

  • Supplemental Notes:
    • Ship Res. Inst. Papers (Japan), 23 (1986), p. 1 (Jan.) [10 pp., 23 ref., 16 fig.]
  • Authors:
    • Amada, S
  • Publication Date: 1986

Language

  • Japanese

Subject/Index Terms

  • Subject Areas: Marine Transportation;

Filing Info

  • Accession Number: 00691230
  • Record Type: Publication
  • Source Agency: British Maritime Technology
  • Files: TRIS
  • Created Date: Aug 14 1995 12:00AM