A short remark on the nonlinear oscillator with a damping term

被引：2
|
作者：
Yao, Shaowen [1 ]
Cheng, Zhibo [1 ,2 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu, Peoples R China
来源：
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2021年 / 40卷 / 02期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Semi-inverse method; variational principle; dissipative energy; Taylor series method; He's frequency formulation; VARIATIONAL ITERATION METHOD; FREQUENCY FORMULATION; FRACTAL CALCULUS; PRINCIPLE; TRANSFORM; EQUATIONS;
D O I：
10.1177/1461348420917244
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
A nonlinear oscillator with a damping term can model many nonlinear vibration problems. This short remark insights into its physical understanding by the variational principle, which is established by the semi-inverse method. The dissipative energy involved in the variational formulation can be explained by the two-scale thermodynamics. Taylor series method is used to solve its frequency-amplitude relation.
引用
收藏
页码：1091 / 1095
页数：5
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