LOWERING THE ORDER OF EQUATIONS OF GYROSCOPIC SYSTEMS (O PONIZHENII PORYADKA URAVNENII GIROSKOPICHESKIKH SISTEM),

Abstract

The possibility of reducing the order of gyroscopic equations is discussed. This is achieved by using a differential equation with a small parameter in its leading derivative. For a steady holonomic system the governing equation of motion for the gyroscope system is reduced by using the small parameter assumption mu = lambda squared. Physically, this is equivalent to assuming the high frequency components of the motion to have a small period compared with its precession period. Two examples are given to illustrate the method. The first deals with the motion of a holonomic and scleronomic system under gyroscopic and dissipative forces. The second is the motion of a gyroscope with a universal joint of finite rigidity.

Document Details

Document Type
Technical Report
Publication Date
Oct 18, 1967
Accession Number
AD0676542

Entities

People

  • I. V. Novozhilov

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Frequency
  • Frequency Bands
  • Gyroscopes
  • Joints
  • Mathematics
  • Precession
  • Radio Frequency
  • Rigidity
  • Universal Joints

Readers

  • Analytical Mechanics
  • Control Systems Engineering.
  • Information Retrieval