Vibrations of the nonlinear oscillator with quadratic nonlinearity

被引：23

作者：

Cveticanin, L ^{[1
]}

机构：

[1] Univ Novi Sad, Fac Tech Sci, YU-21000 Novi Sad, Serbia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2004年 / 341卷

关键词：

nonlinear oscillator; quadratic nonlinearity;

D O I：

10.1016/j.physa.2004.04.123

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper the vibration of a mass-spring oscillator with strong quadratic nonlinearity and one degree of freedom is analyzed. The both, strong and hard, springs are considered. The restoring force in the spring which is the function of the quadratic deformation has to satisfy the condition of antisymmetry. The mathematical model is an ordinary second order differential equation where the quadratic nonlinear term changes the sign. The quantitative and the qualitative analysis of the equation is done. The exact analytical solution is obtained. It depends on the Jacobi elliptic function. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：123 / 135

页数：13

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