Formation Mechanism of Multistate Coexistence and Burst Oscillation in Nonlinear Zener Model

分岔图 分叉 非线性系统 吸引子 谐波平衡 振荡(细胞信号) 控制理论(社会学) 物理 数学 数学分析 计算机科学 控制(管理) 量子力学 人工智能 生物 遗传学
作者
Liming Yu,Wangcai Ding,Shaopei Wu,Deyang Li,Guofang Li,Ning Chen
出处
期刊:International Journal of Bifurcation and Chaos [World Scientific]
卷期号:33 (10)
标识
DOI:10.1142/s0218127423501171
摘要

In order to reflect the dynamic response of the rubber vibration isolation system more accurately in medium and low frequency ranges, the nonlinear Zener model is used to characterize the mechanical properties of viscoelastic materials like rubber. The approximate analytical solution of the system response is obtained by harmonic balance method, and its correctness is verified through numerical method and Universal Mechanism (UM) software simulation. The quantitative relationship between mass displacement and node displacement is calculated, and a new method to obtain hysteresis characteristics of rubber vibration isolation system based on approximate analytical solution of the model is presented. Under the influence of symmetry and hysteresis, the system possesses bifurcation, chaos, polymorphic coexistence and other complex nonlinear dynamical behaviors. Then, with the help of global bifurcation diagram, phase diagram, Poincaré map and cell mapping, the formation mechanism of polymorphic coexisting motion induced by pitchfork bifurcation, saddle-node bifurcation, period-doubling bifurcation and boundary crisis is comprehensively analyzed. Based on this, the formation mechanism of bursting oscillation is revealed. Finally, the influence of nonlinear stiffness on the transition law of the system periodic motion is analyzed, and the distribution law of the coexisting attractors and the variation of the attracting domain in various of polymorphic coexisting motions are presented. The research results of the complex dynamic behavior of the nonlinear Zener vibration isolation system in this paper can provide some theoretical guidance for the optimal design of the viscoelastic vibration isolation system.

科研通智能强力驱动
Strongly Powered by AbleSci AI
更新
PDF的下载单位、IP信息已删除 (2025-6-4)

科研通是完全免费的文献互助平台,具备全网最快的应助速度,最高的求助完成率。 对每一个文献求助,科研通都将尽心尽力,给求助人一个满意的交代。
实时播报
Sissi完成签到,获得积分10
刚刚
逗逗完成签到,获得积分10
1秒前
赘婿应助孝顺的雁芙采纳,获得10
1秒前
情怀应助熬夜的桃子采纳,获得10
1秒前
专注的映之完成签到 ,获得积分10
2秒前
Paakchuk完成签到 ,获得积分10
2秒前
NOS完成签到 ,获得积分10
2秒前
2秒前
可爱的小丸子完成签到,获得积分10
2秒前
3秒前
帮主哥哥发布了新的文献求助30
3秒前
ZJU完成签到,获得积分10
3秒前
大鲁完成签到,获得积分10
3秒前
mysilicon完成签到,获得积分10
3秒前
脑洞疼应助宴之敖者采纳,获得10
3秒前
奋斗灵竹完成签到,获得积分10
3秒前
慈祥的翠梅完成签到,获得积分10
4秒前
有一颗卤蛋完成签到,获得积分10
4秒前
伶俐妙海发布了新的文献求助100
4秒前
小小虾完成签到,获得积分10
4秒前
小小怪炮兵完成签到,获得积分10
4秒前
Lxxxx完成签到,获得积分10
4秒前
YYYYYYYYY完成签到,获得积分10
5秒前
独特乘风完成签到,获得积分10
5秒前
Air云完成签到,获得积分10
5秒前
章鱼大丸子完成签到,获得积分10
6秒前
指导灰完成签到 ,获得积分10
6秒前
清风完成签到 ,获得积分10
7秒前
LZ完成签到,获得积分10
7秒前
djbj2022发布了新的文献求助10
8秒前
baolipao完成签到,获得积分10
8秒前
我我我发布了新的文献求助10
8秒前
10秒前
顺利白安完成签到,获得积分10
11秒前
孝顺的雁芙完成签到,获得积分10
11秒前
11秒前
ca完成签到,获得积分10
11秒前
pl656完成签到,获得积分10
12秒前
12秒前
12秒前
高分求助中
A new approach to the extrapolation of accelerated life test data 1000
Cognitive Neuroscience: The Biology of the Mind 1000
Technical Brochure TB 814: LPIT applications in HV gas insulated switchgear 1000
Immigrant Incorporation in East Asian Democracies 600
Nucleophilic substitution in azasydnone-modified dinitroanisoles 500
不知道标题是什么 500
A Preliminary Study on Correlation Between Independent Components of Facial Thermal Images and Subjective Assessment of Chronic Stress 500
热门求助领域 (近24小时)
化学 材料科学 医学 生物 工程类 有机化学 生物化学 物理 内科学 纳米技术 计算机科学 化学工程 复合材料 遗传学 基因 物理化学 催化作用 冶金 细胞生物学 免疫学
热门帖子
关注 科研通微信公众号,转发送积分 3968637
求助须知:如何正确求助?哪些是违规求助? 3513552
关于积分的说明 11168493
捐赠科研通 3248935
什么是DOI,文献DOI怎么找? 1794554
邀请新用户注册赠送积分活动 875188
科研通“疑难数据库(出版商)”最低求助积分说明 804691