{"title":"铝合金搅拌摩擦焊接的非线性动力学","authors":"Shuai Mo, Yongjun Hu, Taojiang Huang, Yuansheng Zhou, Jielu Zhang, Wei Zhang","doi":"10.1016/j.cnsns.2024.108576","DOIUrl":null,"url":null,"abstract":"Research on system dynamics of friction stir welding (FSW) of aluminum alloy is of great significance to optimize the welding process and improve welding quality. In this paper, the aluminum alloy FSW is taken as the object, considering the influence of the arc value of the stirring pin, the feed quantity and the equivalent friction coefficient, the nonlinear dynamic model of the aluminum alloy FSW system is established, and the influence of different factors on the vibration characteristics of the system in <ce:italic>x</ce:italic> direction and <ce:italic>y</ce:italic> direction is explored. Time domain diagram, phase diagram, Poincaré diagram, bifurcation diagram and Lyapunov exponent are used to reveal the vibration response characteristics of the aluminum alloy FSW system. The time delay multi-scale method was used to study the main resonance characteristics of the aluminum alloy FSW system, and the effects of feed quantity and time delay parameters on the main resonance characteristics of the system were explored. The results show that the system shows strong nonlinearity when considering the value of the arc of the stirring pin, the feed quantity and the equivalent softening friction coefficient. With the increase of the feed quantity and the a^#mount of stirring pin, the vibration characteristics of the system change from single-cycle to multi-cycle to chaos. The system will be in a complex nonlinear state when the stirring pin is rotated into the radian value and the feed quantity is large. The system can be kept stable by adjusting the feed quantity and time delay parameters. The welding effect is good and the welding quality is high when the speed of FSW of aluminum alloy is about [800 (r/min),900 (r/min)] under the lower feed quantity and the arc value of the stirring pin.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"34 1","pages":""},"PeriodicalIF":3.4000,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear dynamic of friction stir welding for aluminum alloy\",\"authors\":\"Shuai Mo, Yongjun Hu, Taojiang Huang, Yuansheng Zhou, Jielu Zhang, Wei Zhang\",\"doi\":\"10.1016/j.cnsns.2024.108576\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Research on system dynamics of friction stir welding (FSW) of aluminum alloy is of great significance to optimize the welding process and improve welding quality. In this paper, the aluminum alloy FSW is taken as the object, considering the influence of the arc value of the stirring pin, the feed quantity and the equivalent friction coefficient, the nonlinear dynamic model of the aluminum alloy FSW system is established, and the influence of different factors on the vibration characteristics of the system in <ce:italic>x</ce:italic> direction and <ce:italic>y</ce:italic> direction is explored. Time domain diagram, phase diagram, Poincaré diagram, bifurcation diagram and Lyapunov exponent are used to reveal the vibration response characteristics of the aluminum alloy FSW system. The time delay multi-scale method was used to study the main resonance characteristics of the aluminum alloy FSW system, and the effects of feed quantity and time delay parameters on the main resonance characteristics of the system were explored. The results show that the system shows strong nonlinearity when considering the value of the arc of the stirring pin, the feed quantity and the equivalent softening friction coefficient. With the increase of the feed quantity and the a^#mount of stirring pin, the vibration characteristics of the system change from single-cycle to multi-cycle to chaos. The system will be in a complex nonlinear state when the stirring pin is rotated into the radian value and the feed quantity is large. The system can be kept stable by adjusting the feed quantity and time delay parameters. The welding effect is good and the welding quality is high when the speed of FSW of aluminum alloy is about [800 (r/min),900 (r/min)] under the lower feed quantity and the arc value of the stirring pin.\",\"PeriodicalId\":50658,\"journal\":{\"name\":\"Communications in Nonlinear Science and Numerical Simulation\",\"volume\":\"34 1\",\"pages\":\"\"},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2024-12-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Nonlinear Science and Numerical Simulation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1016/j.cnsns.2024.108576\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1016/j.cnsns.2024.108576","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Nonlinear dynamic of friction stir welding for aluminum alloy
Research on system dynamics of friction stir welding (FSW) of aluminum alloy is of great significance to optimize the welding process and improve welding quality. In this paper, the aluminum alloy FSW is taken as the object, considering the influence of the arc value of the stirring pin, the feed quantity and the equivalent friction coefficient, the nonlinear dynamic model of the aluminum alloy FSW system is established, and the influence of different factors on the vibration characteristics of the system in x direction and y direction is explored. Time domain diagram, phase diagram, Poincaré diagram, bifurcation diagram and Lyapunov exponent are used to reveal the vibration response characteristics of the aluminum alloy FSW system. The time delay multi-scale method was used to study the main resonance characteristics of the aluminum alloy FSW system, and the effects of feed quantity and time delay parameters on the main resonance characteristics of the system were explored. The results show that the system shows strong nonlinearity when considering the value of the arc of the stirring pin, the feed quantity and the equivalent softening friction coefficient. With the increase of the feed quantity and the a^#mount of stirring pin, the vibration characteristics of the system change from single-cycle to multi-cycle to chaos. The system will be in a complex nonlinear state when the stirring pin is rotated into the radian value and the feed quantity is large. The system can be kept stable by adjusting the feed quantity and time delay parameters. The welding effect is good and the welding quality is high when the speed of FSW of aluminum alloy is about [800 (r/min),900 (r/min)] under the lower feed quantity and the arc value of the stirring pin.
期刊介绍：
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.
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