On the Problem of Transient Motion of Self-Oscillating Systems with Dry Friction,

Abstract

An examination is made of the problem of the movement of a solid with a rigid connection over a dry surface. The length of the connection is variable in time. The dependence of sliding friction on the velocity is nonlinear. Weak nonlinearity of the system is assumed. The force of static friction depends on the time of nonmoving contact. Equations are formulated for the segment relative to movement and rest. The equation relative to movement is solved by methods of successive approximations and by variable scaling. The condition of the existence of stops is presented. A determination is made of the period of vibrations with stops. The equation relative to movement for a concrete series of parameters is solved numerically using a digital computer and is compared with an analytical method. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 29, 1972
Accession Number
AD0749521

Entities

People

  • S. V. Baev

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Computers
  • Computing Devices
  • Concrete
  • Digital Computers
  • Equations
  • Friction
  • Motion
  • Sliding Friction
  • Vibration

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).