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Applications of fiber models based on discrete element method to string vibration

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Abstract

This study applies DE (discrete element) computational method to the dynamic problems of a vibrating string. The DE method was originally initiated to analyze granular materials and now it has expanded to model fabric dynamics which is of interest in a number of applications including those that manufacture or handle textiles, garments, and composite materials. Owing to the complex interactions between each discrete element, simple circular geometric rigid model has been used in the conventional DE method. However, in order to analyze the slender shape and flexibility of materials such as fabrics or strings, longer and flexible geometric models, named as fiber models, was developed. The fiber model treats a series of connected circular particles, and further can be classified as being either a RF (rigid fiber) or a CFF (completely flexible fiber) model. To check the feasibility of those models, dynamic problems were solved and it is found that the fiber models accurately simulate the dynamic and vibration behaviors of horizontally or vertically placed strings.

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Correspondence to Namcheol Kang.

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This paper was recommended for publication in revised form by Associate Editor Hong Hee Yoo

Junyoung Park received B.S. and M.S degrees in Mechanical Engineering from Kyungpook National University in 1996 and 1998, respectively. He then went on to receive his Ph.D. degree from Purdue University in 2003. Dr. Park is currently an assistant professor at the School of Mechanical Engineering at Kumoh National Institute of Technology in Gumi, Korea. Dr. Park’s research interests are in the area of nano technology, particle technology, and analysis of pedestrian flow.

Namcheol Kang received B.S. and M.S degrees in Mechanical Engineering from KAIST and Seoul National University in 1992 and 1994, respectively. He then went on to receive his Ph.D. degree from Purdue University in 2004. Dr. Kang is currently an assistant professor at the School of Mechanical Engineering at Kyungpook National University in Daegu, Korea. Dr. Kang’s research interests are in the area of dynamics, vibration and stability of a multiscale mechanical system.

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Park, J., Kang, N. Applications of fiber models based on discrete element method to string vibration. J Mech Sci Technol 23, 372–380 (2009). https://doi.org/10.1007/s12206-008-0921-8

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  • DOI: https://doi.org/10.1007/s12206-008-0921-8

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