
Accession Number : AD0676542
Title : LOWERING THE ORDER OF EQUATIONS OF GYROSCOPIC SYSTEMS (O PONIZHENII PORYADKA URAVNENII GIROSKOPICHESKIKH SISTEM),
Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHTPATTERSON 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