International Scientific Journal


The tug of war is a sport known for strength, however a weaker team can also win the game by a suitable team co-operation. A mathematical model is established, showing that the team co-operation or rhythmical frequency plays an important role in victory. A team can win even the rope is pulled to the opposite direction depending upon the rhythmical frequency. A criterion for rhythmical frequency is obtain to guarantee victory when the strength is almost same for both teams. Additionally the rope pulling can be also used for moving a heavy weight object, the principle might be used for building the great pyramids in ancient Egypt. Finally magic ramie ropes with special thermoplastic properties and controllable frequency are discussed.
PAPER REVISED: 2022-05-20
PAPER ACCEPTED: 2022-05-25
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THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [2127 - 2133]
  1. Yang, X., et al., Advanced Textile Technology for Fabrication of Ramie Fiber PLA Composites with Enhanced Mechanical Properties, Industrial Crops and Products, 162 (2021), Apr., 113312
  2. Mishra, L., et al., A Novel Approach of Low Alkali Degumming of Ramie, Journal of Natural Fibers, 18 (2021), 6, pp. 857-866
  3. Cayero, R., et al., Analysis of Tug of War Competition: A Narrative Complete Review, International Journal of Environmental Research and Public Health, 19 (2022), 1, 3
  4. Yao, X., He, J. H., On Fabrication of Nanoscale Non-Smooth Fibers with High Geometric Potential and Nanop 'S Non-Linear Vibration, Thermal Science, 24 (2020), 4, pp. 2491-2497
  5. He, J. H., et al., Fast Identification of the Pull-in Voltage of a Nano/Micro-Electromechanical System, Journal of Low Frequency Noise, Vibration & Active Control, 41 (2022), 2, pp. 566-571
  6. Tian, D., He, C. H., A Fractal Micro-Electromechanical System and Its Pull-In Stability, Journal of Low Frequency Noise, Vibration & Active Control, 40 (2021), 3, pp. 1380-1386
  7. Skrzypacz, P., et al., Dynamic Pull-in and Oscillations of Current-Carrying Filaments in Magnetic Micro-Electro-Mechanical System, Communications in Nonlinear Science and Numerical Simulation, 109 (2022), June, 106350
  8. Shen, Y., et al., A Periodic Solution of the Fractional Sine-Gordon Equation Arising in Architectural Engineering, Journal of Low Frequency Noise, Vibration & Active Control, 40 (2021), 2, pp. 683-691
  9. Liu, G. L., et al., Green Degumming Process of Ramie Fiber: Thermal Effect and Optimization, Thermal Science, 23 (2019), 4, pp. 2447-2451
  10. Zhu, L., Goda, K., Strengthening and Stiffening of Ramie Yarns by Applying Cyclic Load Treatment, Journal of Applied Polymer Science, 109 (2008), 2, pp. 889-896
  11. Ding, X. Y., et al., Axial Vibration Suppression of Wire-Ropes and Container in Double-Rope Mining Hoists with Adaptive Robust Boundary Control, Mechatronics, 85 (2022), Aug., 102817
  12. He, J.-H., et al. Periodic Property and Instability of a Rotating Pendulum System, Axioms, 10 (2021), 3, 191
  13. He, C. H., et al. Hybrid Rayleigh -Van der Pol-Duffing Oscillator (HRVD): Stability Analysis and Controller, Journal of Low Frequency Noise, Vibration & Active Control, 41 (2021), 1, pp. 244-268
  14. Geng, F. Z., Numerical Solutions of Duffing both integral Equations Involving and Non-Integral Forcing Terms, Computers & Mathematics with Applications, 61 (2011), 8, pp. 1935-1938
  15. Wang, S. Q., et al., Variational Iteration Method for Solving Integro-Differential Equations, Physics letters A, 367 (2007), 3, pp. 188-191
  16. Razzak, M. A., An Analytical Approximate Technique for Solving Cubic-Quintic Duffing Oscillator, Alexandria Engineering Journal, 55 (2016), 3, pp. 2959-2965
  17. Wang, S. Q., A Variational Approach to Non-Linear Two-Point Boundary Value Problems, Computers & Mathematics with Applications, 58 (2009), 11, pp. 2452--2455
  18. He, J. H., et al., Variational Approach to Fractal Solitary Waves, Fractals, 29 (2021), 7, 2150199
  19. Anjum, N., He, J. H., Two Modifications of the Homotopy Perturbation Method for Non-linear Oscillators, Journal of Applied Computational Mechanics, 6 (2020), Dec., pp. 1420-1425
  20. He, C. H., El-Dib, Y. O., A Heuristic Review on the Homotopy Perturbation Method for Non-Conservative Oscillators, Journal of Low Frequency Noise, Vibration & Active Control, 41 (2022), 2, pp. 572-603
  21. He, C. H., et al., A Modified Frequency-Amplitude Formulation for Fractal Vibration Systems, Fractals, 30 (2022), 3, 2250046
  22. Ma, H. J., Simplified Hamiltonian-Based Frequency-Amplitude Formulation for Non-Linear Vibration system, Facta Universitatis, Series: Mechanical Engineering, 20 (2022), 2, pp. 445-455
  23. Ma, H. J., A Short Remark on He's Frequency Formulation, Journal of Low Frequency Noise, Vibration & Active Control, 41 (2022), 4, 1380-1385
  24. He, J. H., et al., A Simple Frequency Formulation for the Tangent Oscillator, Axioms, 10 (2021), 4, 320
  25. He, C. H., et al., Controlling the Kinematics of a Spring-Pendulum System Using an Energy Harvesting Device, Journal of Low Frequency Noise, Vibration & Active Control, 41 (2022), 3, pp. 1234-1257
  26. Feng, G. Q., He's Frequency Formula to Fractal Undamped Duffing Equation, Journal of Low Frequency Noise, Vibration & Active Control, 40 (2021), 4, pp. 1671-1676
  27. Chen, D. C., et al., Amplitude-Dependent Damping Properties of Ramie Fiber-Reinforced Thermoplastic Composites with Varying Fiber Content, Polymer Composites, 40 (2019), 7, pp. 2681-2689
  28. Rysaeva, L. K., et al., Elastic Damper Based on the Carbon Nanotube Bundle, Facta Universitatis, Series: Mechanical Engineering, 18 (2020), 1, pp. 1-12
  29. Choi, E. S., et al., Aligned Cellulose Nanofiber Composite Made with Electrospinning of Cellulose Nanofiber - Polyvinyl Alcohol and its Vibration Energy Harvesting, Composites Science and Technolo-gy, 209 (2021), Apr., 108795
  30. Singh, R. K., et al., PVDF Nanofiber Sensor for Vibration Measurement in a String, Sensors, 19 (2019), 17, 3739
  31. Li, X. X., He, J. H., Bubble Electrospinning with an Auxiliary Electrode and an Auxiliary Air Flow, Recent Patents on Nanotechnology, 14 (2020), 1, pp. 45-42
  32. Liu, G. L., et al., Last Patents on Bubble Electrospinning, Recent Patents on Nanotechnology, 14 (2020), 1, pp. 5-9
  33. Liu, L. G., et al., Dropping in Electrospinning Process: A General Strategy for Fabrication of Microspheres, Thermal Science, 25 (2021), 2B, pp. 1295-1303
  34. Lin, L., et al., Fabrication of PVDF/PES Nanofibers with Unsmooth Fractal Surfaces by Electrospinning: A General Strategy and Formation Mechanism, Thermal Science, 25 (2021), 2B, pp. 1287-1294
  35. Qian, M. Y., He, J. H., Collection of Polymer Bubble as a Nanoscale Membrane, Surfaces and Interfaces, 28 (2022), Dec., 101665
  36. He, J. H., et al., The Maximal Wrinkle Angle During the Bubble Collapse and Its Application to the Bubble Electrospinning, Frontiers in Materials, 8 (2022), Feb., 800567
  37. Gao, L. Y., et al., Effect of Relative Humidity on the Non-Linear Elastic Response of Granular Media, Journal of Applied Physics, 131 (2022), 5, 055101

© 2023 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence