Journal of Textiles and Polymers

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Study on Linear Density Effect on the Vibration Behavior of Textile Strings Using Video Processing

Document Type : Original Article

Authors

1 Textile Engineering Department, Yazd University, Yazd, Iran; and Center of Excellence for Machine Vision in Textile and Apparel Industry, Yazd University, Yazd, Iran.

2 Textile Engineering Department, Amirkabir University of Technology, Tehran, Iran; and Center of Excellence for Machine Vision in Textile and Apparel Industry, Yazd University, Yazd, Iran.

3 Mechanical Engineering Department, Yazd University, Yazd, Iran.

Abstract

The main aim of this study is to obtain a detailed information about textile string vibration and the effect of physical properties changes on it. This is based on the fact that modal parameters are the functions of physical properties. Video cameras propose the unique capability of collecting high density spatial data from a distant view and supply a reliable method for measuring vibrations and displacements in structures. They could be employed as inspection sensors because of their normal use, ease, and low cost. In this research, some laboratory equipment with a high-speed digital camera was designed to measure the vibration behavior of polypropylene monofilaments. The vibration was recorded by the high-speed camera at all the points of the string, and video processing was done to extract the free decays. The natural frequency, amplitude and phase were obtained by the Fourier series. The logarithmic decrement and the damping coefficient for monofilaments were calculated. The experimental results were compared to the results of a theoretical model for a plucked string with viscous damping, and the vibration properties of monofilaments were obtained. As the results showed, the theoretical model could successfully predict the vibration behavior of the filaments with error less than 23%. The trend of changes in the monofilament physical properties was easily specified based on the trend of the variations in the damping coefficient and the natural frequency. It was found that an increase in the monofilament linear density would cause a decrease in the damping coefficient and its natural frequency.

Keywords

References
[1]  A. Askenfelt and E.V. Jansson, “From touch to string vibrations. III: String motion and spectraˮ, J. Acousti. Soc. Am., vol. 93, pp. 2181-2196, 1993.
[2] J. Pakarinen and M. Karjalainen, “An apparatus for measuring string vibration using electric field 
sensingˮ, in Proceedings of the Stockholm Music Acoustics Conference, pp. 739-742, 2003.
[3] N. Plath, “High-speed camera displacement measurement (HCDM) technique of string vibrationˮ, in Proceedings of the Stockholm Music Acoustics Conference, pp. 188-192, 2013.
[4]  J.G. Chen, N. Wadhwa, Y.-J. Cha, F. Durand, W.T. Freeman, and O. Buyukozturk, “Structural modal identification through high speed camera video: Motion magnificationˮ, in Topics in Modal Analysis I, Vol. 7, Ed: Springer, 2014, pp. 191-197.
[5] J. Kotus, P. Szczuko, M. Szczodrak, and A. Czyżewski, “Application of fast cameras to string vibrations recordingˮ, In: 2015 Signal Processing: Algorithms, Architectures, Arrangements, and Applications (SPA), 2015, pp. 104-109.
[6] M. Pàmies-Vilà, I.A. Kubilay, D. Kartofelev, M. Mustonen, A. Stulov, and V. Välimäki, “High-speed linecamera measurements of a vibrating stringˮ, In Proceeding of the Baltic-Nordic Acoustic Meeting (BNAM), Tallinn, Estonia, 2014. [7] D. Zhang, J. Guo, X. Lei, and C. Zhu, “A high-speed vision-based sensor for dynamic vibration analysis using fast motion extraction algorithmsˮ, Sensors, vol. 16, pp. 572, 2016.
[8]  Z. Chen, X. Zhang, and S. Fatikow, “3D robust digital image correlation for vibration measurementˮ, Appl Opt., vol. 55, pp. 1641-1648, 2016. [9] M.N. Helfrick, C. Niezrecki, P. Avitabile, and T. Schmidt, “3D digital image correlation methods for full-field vibration measurementˮ, Mech. Syst. Signal Proc., vol. 25, pp. 917-927, 2011.
[9] M.N. Helfrick, C. Niezrecki, P. Avitabile, and T. Schmidt, “3D digital image correlation methods for full-field vibration measurementˮ, Mech. Syst. Signal Proc., vol. 25, pp. 917-927, 2011. 
[10] J. Warburton, G. Lu, T. Buss, H. Docx, M.Y. Matveev, and I. Jones, “Digital image correlation vibrometry with low speed equipmentˮ, Exp. Mech., vol. 56, pp. 1219-1230, 2016.
[11] X.P. Gao, Y.Z. Sun, Z. Meng, and Z.J. Sun, “On the transversal vibration of pile-yarn with time-dependent tension in tufting processˮ, Appl. Mech. Mater., vol. 29-32, pp. 1517-1523, 2010. [12] X. Gao, Y. Sun, Z. Meng, and Z. Sun, “Analytical approach of mechanical behavior of carpet yarn by mechanical modelsˮ, Mater. Lett., vol. 65, pp. 22282230, 2011.
[12] X. Gao, Y. Sun, Z. Meng, and Z. Sun, “Analytical approach of mechanical behavior of carpet yarn by mechanical modelsˮ, Mater. Lett., vol. 65, pp. 22282230, 2011. 
[13] D. Shen and G. Ye, “Study on the dynamic characteristics of warp in the process of weavingˮ, Fibers Text. East Eur., vol. 21, pp. 68-73, 2013.
[14] R.A. Malookani, S. Dehraj, and S.H. Sandilo, “Asymptotic approximations of the solution for a traveling string under boundary dampingˮ, J. Appl. Comput. Mech., vol. 5, pp. 918-925, 2019.
[15] O. Serrano, R. Zaera, J. Fernández-Sáez, and M. Ruzzene, “Generalized continuum model for the 
analysis of nonlinear vibrations of taut strings with microstructureˮ, Int. J. Solids Struct., vol. 164, pp. 157-167, 2019.
[16] H. Zhang, C. Wang, and N. Challamel, “Modelling vibrating nano-strings by lattice, finite difference and Eringen’s nonlocal modelsˮ, J. Sound Vib., vol. 425, pp. 41-52, 2018.
[17] M. Ferretti, G. Piccardo, F. dell’Isola, and A. Luongo, “Dynamics of taut strings undergoing large changes of tension caused by a force-driven traveling massˮ, J. Sound Vib., vol. 458, pp. 320-333, 2019.
[18] A.W. Leissa and M.S. Qatu, Vibrations of Continuous Systems, USA: McGraw-Hill, 2011.
[19] W.J. Bottega, Engineering Vibrations, 2nd ed., USA: CRC, 2014.
[20] M. Emadi, M.A. Tavanaie, and P. Payvandy, “Measurement of the uniformity of thermally bonded points in polypropylene spunbonded non-wovens using image processing and its relationship with their tensile propertiesˮ, Autex Res. J., vol. 18, pp. 405-418, 2018.
[21] N. Dehghan, M.A. Tavanaie, and P. Payvandy, “Morphology study of nanofibers produced by extraction from polymer blend fibers using image processingˮ, Korean J. Chem. Eng., vol. 32, pp. 19281937, 2015.
Journal of Textiles and Polymers
Volume 8, Issue 2
June 2020
Pages 41-51
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