耦合场中夹紧薄圆弹性板的混沌动力学

2015 Seventh International Conference on Measuring Technology and Mechatronics Automation Pub Date : 2015-06-13 DOI:10.1109/ICMTMA.2015.70

Zhou Liangqiang, Chen Fangqi

{"title":"耦合场中夹紧薄圆弹性板的混沌动力学","authors":"Zhou Liangqiang, Chen Fangqi","doi":"10.1109/ICMTMA.2015.70","DOIUrl":null,"url":null,"abstract":"With both analytical and numerical methods, chaotic motions of a clamped thin circular elastic plate in coupling fields are investigated in this paper. The chaotic motions arising from the transverse intersections of the stable and unstable manifolds of the heteroclinic orbits are analyzed by means of Melnikov method. The critical curves separating the chaotic and non-chaotic regions are obtained. The chaotic feature on the system parameters are discussed in detail. Some new dynamical phenomena are presented. Numerical simulations are also given, which verify the analytical results.","PeriodicalId":196962,"journal":{"name":"2015 Seventh International Conference on Measuring Technology and Mechatronics Automation","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chaotic Dynamics of a Clamped Thin Circular Elastic Plate in Coupling Fields\",\"authors\":\"Zhou Liangqiang, Chen Fangqi\",\"doi\":\"10.1109/ICMTMA.2015.70\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"With both analytical and numerical methods, chaotic motions of a clamped thin circular elastic plate in coupling fields are investigated in this paper. The chaotic motions arising from the transverse intersections of the stable and unstable manifolds of the heteroclinic orbits are analyzed by means of Melnikov method. The critical curves separating the chaotic and non-chaotic regions are obtained. The chaotic feature on the system parameters are discussed in detail. Some new dynamical phenomena are presented. Numerical simulations are also given, which verify the analytical results.\",\"PeriodicalId\":196962,\"journal\":{\"name\":\"2015 Seventh International Conference on Measuring Technology and Mechatronics Automation\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 Seventh International Conference on Measuring Technology and Mechatronics Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMTMA.2015.70\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Seventh International Conference on Measuring Technology and Mechatronics Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMTMA.2015.70","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文采用解析和数值方法研究了夹紧弹性薄板在耦合场中的混沌运动。用Melnikov方法分析了由异斜轨道的稳定流形和不稳定流形的横交点引起的混沌运动。得到了分离混沌和非混沌区域的临界曲线。详细讨论了系统参数的混沌特性。提出了一些新的动力学现象。最后给出了数值模拟，验证了分析结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Chaotic Dynamics of a Clamped Thin Circular Elastic Plate in Coupling Fields

With both analytical and numerical methods, chaotic motions of a clamped thin circular elastic plate in coupling fields are investigated in this paper. The chaotic motions arising from the transverse intersections of the stable and unstable manifolds of the heteroclinic orbits are analyzed by means of Melnikov method. The critical curves separating the chaotic and non-chaotic regions are obtained. The chaotic feature on the system parameters are discussed in detail. Some new dynamical phenomena are presented. Numerical simulations are also given, which verify the analytical results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2015 Seventh International Conference on Measuring Technology and Mechatronics Automation

自引率

0.00%

发文量