Accurate prediction of the ring-spinning equation in zero air drag based on homotopy perturbation method

Rong Yin; Hongbo Gu

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Accurate prediction of the ring-spinning equation in zero air drag based on homotopy perturbation method

机译：基于同伦摄动法的零风阻下的自旋方程精确预测

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摘要

In the past, numerical solutions of quasi-stationary ring-spinning equations have been extensively investigated. However, mathematicians and engineers are more willing to search for analytical solutions because they can obtain more interesting and relevant results. In this paper, an analytical solution of the ring-spinning equation has been derived using the homotopy perturbation method. The basic idea of this method and a detailed derivation of the analytical solution are also given. The air drag is not considered in order to simplify the procedure. The results show the validity and efficiency in predicting the balloon shape across a wide range of spinning conditions.

机译：过去，已经广泛研究了准平稳环自旋方程的数值解。但是，数学家和工程师更愿意寻找分析解决方案，因为他们可以获得更有趣和相关的结果。本文利用同伦摄动法推导了环自旋方程的解析解。还给出了该方法的基本思想以及解析解的详细推导。为了简化程序，不考虑空气阻力。结果表明，在广泛的纺丝条件下预测气球形状的有效性和效率。

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来源
《The Journal of the Textile Institute》 |2011年第9期|p.763-766|共4页
作者
Rong Yin; Hongbo Gu;
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作者单位

College of Mechanical Engineering, Donghua University, Shanghai 201620, China;

College of Mechanical Engineering, Donghua University, Shanghai 201620, China;

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原文格式 PDF
正文语种 eng
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关键词
ring-spinning equation; homotopy perturbation; yarn tension;

机译：环锭纺方程同态摄动纱线张力;

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专利

1. Stationary solution of the ring-spinning balloon in zero air drag using a RBFN based mesh-free method [J] . C.-D. Tran, D.G. Phillips, W.B. Fraser The Journal of the Textile Institute . 2010,第2期

机译：使用基于RBFN的无网格方法在零风阻力下旋转环气球的固定解
2. AN ACCURATE SOLUTION TO THE LOTKA-VOLTERRA EQUATIONS BY MODIFIED HOMOTOPY PERTURBATION METHOD [J] . M. S. H. CHOWDHURY, M. M. RAHMAN International Journal of Modern Physics: Conference Series . 2012,第3期

机译：修正同伦摄动法精确求解LOTKA-VOLTERRA方程。
3. AN ACCURATE SOLUTION TO THE LOTKA-VOLTERRA EQUATIONS BY MODIFIED HOMOTOPY PERTURBATION METHOD [J] . M. S. H. CHOWDHURY, M. M. RAHMAN International Journal of Modern Physics: Conference Series . 2012,第5期

机译：修正同伦摄动法精确求解LOTKA-VOLTERRA方程。
4. Artificial Parameter Perturbation Method and Parameter-Expansion Method Used in Accurate Prediction of the Ring-Spinning Balloon in Zero Air Drag [C] . Yin Rong, Liu Yang, Gu Hongbo 2010 International Conference on System Science, Engineering Design and Manufacturing Informatization . 2010

机译：人工参数摄动法和参数扩展法用于零风阻下环锭纺球囊的准确预测
5. Accurate drag prediction for transitional external flow over airfoils. [D] . Basha, Wassim. 2006

机译：机翼过渡外部流的准确阻力预测。
6. An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method [O] . Safdar Hussain, Abdullah Shah, Sana Ayub, 2019

机译：同伦摄动法和同伦分析法对Allen-Cahn方程的近似解析解
7. Stationary solution of the ring-spinning balloon in zero air drag using a RBFN based mesh-free method [O] . Tran Canh-Dung, Phillips David G., Fraser W. Barrie 2010

机译：使用基于RBFN的无网格方法在零风阻力下旋转环气球的固定解

Accurate prediction of the ring-spinning equation in zero air drag based on homotopy perturbation method

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