Accession Number : AD0712441

Title :   FORCED LONGITUDINAL VIBRATIONS OF PRISMATIC SLENDER BARS UNDER THE INFLUENCE OF QUADRATIC AND EQUIVALENT VISCOUS DAMPING.

Descriptive Note : Technical rept.,

Corporate Author : HOUSTON UNIV TEX CULLEN COLL OF ENGINEERING

Personal Author(s) : Wilkinson,A. D. , Jr

Report Date : AUG 1970

Pagination or Media Count : 54

Abstract : Forced longitudinal vibrations of a prismatic, slender bar with quadratic skin damping and equivalent viscous damping are analyzed. The differential equation of motion with quadratic damping is solved numerically by the method of characteristics. The bar is assumed to be free of stress at one end and subject to sinusoidal motion at the other. Frequency-response curves are plotted for several values of the nonlinear damping coefficient. The equivalent linear system is analyzed by Laplace Transforms and the results are compared with those for the nonlinear system. The damping is linearized by equating the energies dissipated per cycle by quadratic and viscous damping. (Author)

Descriptors :   (*VIBRATION, *RODS), (*MECHANICAL CABLES, VIBRATION), PRISMATIC BODIES, EQUATIONS OF MOTION, DAMPING, NUMERICAL ANALYSIS, INTEGRAL TRANSFORMS, COMPUTER PROGRAMS, THESES

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE