TRANSIENTS IN CERTAIN AUTONOMOUS MULTIPLE DEGREE OF FREEDOM NONLINEAR VIBRATING SYSTEMS

Abstract

Oscillations of weakly nonlinear autonomous multiple degree of freedom dynamical systems are studied. The analysis includes nonlinear effects arising from the potential as well as the kinetic energies of the systems and the systems include elements that produce nonlinear dissipative forces. The method of averaging is applied to a suitably transformed set of equations. In several important cases nonperiodic solutions for arbitrary initial conditions are obtained by quadratures. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1961
Accession Number
AD0269259

Entities

People

  • P.r. Sethna

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Energy
  • Equations
  • Kinetic Energy
  • Oscillation

Fields of Study

  • Mathematics
  • Physics

Readers

  • Approximation Theory.
  • Plasma Physics / Magnetohydrodynamics
  • Robotics and Automation.