Analytical method of calculating the steady nonlinear vibrations of discrete systems

Аuthors

Korovaytseva E. A.^1*, Fedotenkov G. V.^2**

1. Institute of Mechanics Lomonosov Moscow State University, 1, Michurinsky prospect, Moscow, 119192, Russia
2. ,

*e-mail: katrell@mail.ru
**e-mail: greghome@mail.ru

Abstract

Methodology of calculation of nonlinear discrete systems self-excited oscillation parameters is stated. Problems of investigation of stationary oscillations are one of the most pressing problems in the design, development and operation of a variety of technical systems. Critical importance they have for the liability structure of nodes and devices aerospace systems and power equipment. The methodology is tested in the most difficult conditions: in case of discrete systems with high quality of oscillation process with quality factor about 106 by example of electrical vibrations of two-circuit quartz oscillator. Numerical modeling is suggested for the control of results of using this methodology.

Keywords:

methodology, state analysis, discrete systems, Cauchy problem, spectral analysis, random variations, averaging method, comparative analysis