Accession Number : AD0729700

Title :   Transverse Vibration of Nonuniform, Internally Damped Cantilever Beams.

Descriptive Note : Technical memo.,

Corporate Author : PENNSYLVANIA STATE UNIV UNIVERSITY PARK ORDNANCE RESEARCH LAB

Personal Author(s) : Kerlin,R. L.

Report Date : 11 MAY 1971

Pagination or Media Count : 33

Abstract : 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 response of an equally long and massive uniform beam. (Author)

Descriptors :   (*CANTILEVER BEAMS, VIBRATION), (*SHIP STRUCTURAL COMPONENTS, CANTILEVER BEAMS), MODULUS OF ELASTICITY, DAMPING, RESONANT FREQUENCY, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS

Subject Categories : Marine Engineering
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE