Quasi-Periodic and Periodic Vibration Responses of an Axially Moving Beam under Multiple-Frequency Excitation
Abstract
:1. Introduction
2. Modeling Equations and Multiple-Scales Method
2.1. Truncation Procedure
2.2. First Multiple-Scales Method
2.3. Secondary Multiple-Scales Method
3. Results and Discussion
3.1. Quasi-Periodic Vibration
3.2. Effects of System Parameters
3.3. Periodic Vibration
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Appendix A
References
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Fang, X.; Huang, L.; Lou, Z.; Wang, Y. Quasi-Periodic and Periodic Vibration Responses of an Axially Moving Beam under Multiple-Frequency Excitation. Mathematics 2024, 12, 2608. https://doi.org/10.3390/math12172608
Fang X, Huang L, Lou Z, Wang Y. Quasi-Periodic and Periodic Vibration Responses of an Axially Moving Beam under Multiple-Frequency Excitation. Mathematics. 2024; 12(17):2608. https://doi.org/10.3390/math12172608
Chicago/Turabian StyleFang, Xinru, Lingdi Huang, Zhimei Lou, and Yuanbin Wang. 2024. "Quasi-Periodic and Periodic Vibration Responses of an Axially Moving Beam under Multiple-Frequency Excitation" Mathematics 12, no. 17: 2608. https://doi.org/10.3390/math12172608