Accession Number : AD0676542

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

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Novozhilov,I. V.

Report Date : 18 OCT 1967

Pagination or Media Count : 17

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.

Descriptors :   (*STABILIZATION SYSTEMS, EQUATIONS OF MOTION), GYROSCOPES, PARTIAL DIFFERENTIAL EQUATIONS, MOMENT OF INERTIA, RESONANT FREQUENCY, ASYMPTOTIC SERIES, APPROXIMATION(MATHEMATICS), PRECESSION, OSCILLATION, USSR

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE