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

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)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1970
Accession Number
AD0712441

Entities

People

  • A. D. Wilkinson Jr

Organizations

  • University of Houston

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Differential Equations
  • Equations
  • Frequency
  • Frequency Response
  • Frequency Shift
  • Linear Systems
  • Mathematics
  • Method Of Characteristics
  • Nonlinear Systems
  • Vibration

Readers

  • Control Systems Engineering.
  • Structural Dynamics.