TRANSVERSE VIBRATION OF NONUNIFORM, INTERNALLY DAMPED CANTILEVER BEAMS

The Bernoulli-Euler theory of transverse beam vibration, suitably extended to take into account internal damping, is used to derive general expressions in closed-form for the driving-point impedance and force transmissibility of each of three types of nonuniform cantilever beam: a truncated beam of rectangular section with constant breadth and a depth of increasing or decreasing linear taper, a truncated beam of rectangular section with a depth of increasing or decreasing linear taper and a breadth appropriately varied (hyperbolically) to maintain constant cross-sectional area, and a beam composed of three stages, each of which is uniform but varies arbitrarily from the others in cross section and length. In each case, the beam is driven at its free end by a sinusoidally varying point force, and the frequency dependence of its impedance and transmissibility has been calculated. Representative results are presented for beams having the same length and mass and are compared with the responses of an equally long and massive uniform beam. (Author)

• Corporate Authors:

  Pennsylvania State University, University Park

  Ordinance Research Laboratory
  University Park, PA  United States  16802
• Authors:
  • Kerlin, R L
• Publication Date: 1971-5-11

Media Info

• Pagination: 33 p.

Subject/Index Terms

• TRT Terms: Beams; Damping (Physics); Ship structural components; Vibration
• Old TRIS Terms: Cantilever beams
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00025583
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: TM-71-70 Tech Memo
• Contract Numbers: N00017-70-C-1407
• Files: TRIS
• Created Date: Feb 4 1972 12:00AM