Optimal Auxiliary Functions Method for a Pendulum Wrapping on Two Cylinders
Abstract
:1. Introduction
2. The Optimal Auxiliary Functions Method
3. Equation of Motion
4. Application of OAFM to a Pendulum Wrapping on Two Cylinders
5. Results and Discussion
5.1. Case 1
5.2. Case 2
5.3. Case 3
5.4. Case 4
5.5. Case 5
5.6. Case 6
5.7. Case 7
5.8. Case 8
5.9. Case 9
5.10. Case 10
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Case No. | Ωnum | Ωapp |
---|---|---|
5.1 | 4.056165704763733 | 4.056213309077129 |
5.2 | 4.0735936668241015 | 4.0735339712576275 |
5.3 | 4.091213341156173 | 4.091781570513826 |
5.4 | 4.065980106247986 | 4.0659463540564085 |
5.5 | 4.10137202740024 | 4.1008614227769575 |
5.6 | 4.137539732217073 | 4.137450803506345 |
5.7 | 4.070864763571452 | 4.071192550653585 |
5.8 | 4.124733651749398 | 4.125254940744536 |
5.9 | 4.180380645932648 | 4.180777463105995 |
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Marinca, V.; Herisanu, N. Optimal Auxiliary Functions Method for a Pendulum Wrapping on Two Cylinders. Mathematics 2020, 8, 1364. https://doi.org/10.3390/math8081364
Marinca V, Herisanu N. Optimal Auxiliary Functions Method for a Pendulum Wrapping on Two Cylinders. Mathematics. 2020; 8(8):1364. https://doi.org/10.3390/math8081364
Chicago/Turabian StyleMarinca, Vasile, and Nicolae Herisanu. 2020. "Optimal Auxiliary Functions Method for a Pendulum Wrapping on Two Cylinders" Mathematics 8, no. 8: 1364. https://doi.org/10.3390/math8081364