Analysis of the Action of Perturbations of Linear Resonant Systems with Two Degrees of Freedom

被引：1

作者：

Zhuravlev, V. Ph ^{[1
]}

Petrov, A. G. ^{[1
]}

机构：

[1] Ishlinsky Inst Problems Mech RAS, Moscow 119526, Russia

来源：

MECHANICS OF SOLIDS | 2021年 / 56卷 / 02期

关键词：

resonant systems; two degrees of freedom; linear perturbations; evolution of an elliptical trajectory;

D O I：

10.3103/S0025654421020163

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A system with two degrees of freedom in the case of a double natural frequency is considered. The unperturbed system consists of two independent oscillators. The system coordinates describe an elliptical trajectory with four orbital elements. An analysis of the action of linear perturbations (forces) on the orbital elements is carried out. Perturbations are subdivided into six types of forces, and for each type of forces a system of differential equations for the orbital elements is obtained. For all six types of forces, a general solution of the system of differential equations in elementary functions is found.

引用

页码：171 / 178

页数：8