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Research Papers

Random Vibration of Diamond-Beaded Rope Subject to a Concentrated Load

[+] Author and Article Information
Fei Wang

School of Mechanical Engineering,
Shandong University,
Jinan, Shandong 250061, China;
Stone Engineering Technologies Research Center,
Shandong Province,
Jinan, Shandong 250061, China;
Key Laboratory of High-Efficiency and Clean
Mechanical Manufacture (Shandong University),
Ministry of Education,
Jinan 250061, China
e-mail: jixie_me2011@126.com

Jinsheng Zhang

School of Mechanical Engineering,
Shandong University,
Jinan, Shandong 250061, China;
Stone Engineering Technologies Research Center,
Shandong Province,
Jinan, Shandong 250061, China;
Key Laboratory of High-Efficiency and Clean
Mechanical Manufacture (Shandong University),
Ministry of Education,
Jinan 250061, China
e-mail: zhangjs@sdu.edu.cn

Bo Huang

School of Mechanical Engineering,
Shandong University,
Jinan, Shandong 250061, China;
Stone Engineering Technologies Research Center,
Shandong Province,
Jinan, Shandong 250061, China;
Key Laboratory of High-Efficiency and Clean
Mechanical Manufacture (Shandong University),
Ministry of Education,
Jinan 250061, China
e-mail: huangbo@sdu.edu.cn

Zhi Wang

School of Mechanical Engineering,
Shandong University,
Jinan, Shandong 250061, China;
Stone Engineering Technologies Research Center,
Shandong Province,
Jinan, Shandong 250061, China;
Key Laboratory of High-Efficiency and Clean
Mechanical Manufacture (Shandong University),
Ministry of Education,
Jinan 250061, China
e-mail: wzhi@sdu.edu.cn

Jingkun Wang

School of Mechanical Engineering,
Shandong University,
Jinan, Shandong 250061, China;
Stone Engineering Technologies Research Center,
Shandong Province,
Jinan, Shandong 250061, China;
Key Laboratory of High-Efficiency and Clean
Mechanical Manufacture (Shandong University),
Ministry of Education,
Jinan 250061, China
e-mail: wangjk@sdu.edu.cn

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received January 10, 2015; final manuscript received August 25, 2015; published online October 15, 2015. Assoc. Editor: Nicole Kessissoglou.

J. Vib. Acoust 138(1), 011003 (Oct 15, 2015) (10 pages) Paper No: VIB-15-1015; doi: 10.1115/1.4031520 History: Received January 10, 2015; Revised August 25, 2015

In this work, the random vibration characteristics of a beaded rope under a concentrated load are investigated. A stochastic model describing the sawing force of a single diamond-beaded rope was established, based on the principle of volume invariability. The governing equations of the beaded rope were obtained using Hamilton's principle. Theoretical expressions were derived to calculate the response power spectral density (PSD), load-response cross-PSD and the mean square value of the beaded rope lateral displacement, for a beaded rope subject to a concentrated load. The influence of the parameters on the random vibration characteristics of a beaded rope was analyzed, including the effects of the linear speed of the beaded rope, the tension of the beaded rope, and the location of the concentrated load. Numerical examples are given. Results show that as the tension of the beaded rope increases, the PSD and mean square value of the rope displacement are reduced. However, as the linear velocity of the beaded rope increases, the PSD and mean square value of the rope displacement are also increased. During movement of the diamond-beaded rope, the mean square value of the transverse displacement fluctuates predominantly, because of the time-varying impact force caused by the diamond beads.

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References

Ataei, M. , Mikaiel, R. , Sereshki, F. , and Ghaysari, N. , 2012, “ Predicting the Production Rate of Diamond Wire Saw Using Statistical Analysis,” Arabian J. Geosci., 6(5), pp. 1289–1295. [CrossRef]
Tönshoff, H. K. , and Hillmann-Apmann, H. , 2002, “ Diamond Tools for Wire Sawing Metal Components,” Diamond Relat. Mater., 11(6), pp. 742–748. [CrossRef]
Turchetta, S. , Polini, W. , Gelfusa, G. , and Venafro, E. , 2014, “ A New Sawing Machine by Diamond Wire,” Int. J. Adv. Manuf. Technol., 70(1), pp. 73–78. [CrossRef]
Swope, R. D. , and Ames, W. F. , 1963, “ Vibrations of a Moving Thread Line,” J. Franklin Inst., 275(1), pp. 36–55. [CrossRef]
Rao, G. V. , 1992, “ Linear Dynamics and Active Control of an Elastically Supported Travelling String,” Comput. Struct., 43(6), pp. 1041–1049. [CrossRef]
Wickert, J. A. , and Mote, C. D. , 1990, “ Classical Vibration Analysis of Axially Moving Continua,” ASME J. Appl. Mech., 57(3), pp. 738–744. [CrossRef]
Wickert, J. A. , and Mote, C. D. , 1991, “ Traveling Load Response of an Axially Moving String,” J. Sound Vib., 149(2), pp. 267–284. [CrossRef]
Wei, S. B. , and Kao, I. , 2000, “ Vibration Analysis of Wire and Frequency Response in the Modern Wire Saw Manufacturing Process,” J. Sound Vib., 231(5), pp. 1383–1395. [CrossRef]
Xu, L. X. , Yang, Y. H. , Chang, Z. Y. , and Liu, J. P. , 2011, “ Modal Analysis on Lateral Vibration of Axially Moving Roller Chain Coupled With Lumped Mass,” J. Cent. South Univ. Technol., 18(1), pp. 108–115. [CrossRef]
Chen, L. Q. , 2005, “ Analysis and Control of Lateral Vibrations of Axially Moving String,” ASME Appl. Mech. Rev., 58(2), pp. 91–116. [CrossRef]
Ulsoy, A. G. , and Mote, C. D. , 1982, “ Vibration of Wide Band Saw Blades,” J. Eng. Ind., 104(1), pp. 71–78. [CrossRef]
Khorasany, R. M. H. , Panah, A. M. , and Hutton, S. G. , 2012, “ Vibration Characteristics of Guided Circular Saws: Experimental and Numerical Analyses,” ASME J. Vib. Acoust., 134(6), p. 061004. [CrossRef]
Darabi, M. A. , Kazemirad, S. , and Ghayesh, M. H. , 2012, “ Free Vibrations of Beam-Mass-Spring Systems: Analytical Analysis With Numerical Confirmation,” Acta Mech. Sin., 28(2), pp. 468–481. [CrossRef]
Foda, M. A. , 2012, “ Vibration Control and Suppression of an Axially Moving String,” JVC/J. Vib. Control, 18(1), pp. 58–75. [CrossRef]
Li, X. Y. , and Chen, L. Q. , 2008, “ Modal Analysis of Coupled Vibration of Belt Drive Systems,” Appl. Math. Mech., 29(1), pp. 9–13. [CrossRef]
Ding, H. , and Zu, J. w. , 2013, “ Effect of One-Way Clutch on the Nonlinear Vibration of Belt-Drive Systems With a Continuous Belt Model,” J. Sound Vib., 332(24), pp. 6472–6487. [CrossRef]
Beikmann, R. S. , Perkins, N. C. , and Ulsoy, A. G. , 1996, “ Free Vibration of Serpentine Belt Drive Systems,” ASME J. Vib. Acoust., 118(3), pp. 406–413. [CrossRef]
Wu, J. M. , Wang, Z. M. , Wu, Q. M. , and Wang, Y. , 2009, “ Transverse Vibration Characteristics of a Paper Web With Multi-Roller Supports,” J. Low Freq. Noise, Vib. Act. Control, 28(2), pp. 133–144. [CrossRef]
Kulachenko, A. , Gradin, P. , and Koivurova, H. , 2007, “ Modeling the Dynamical Behaviour of a Paper Web Part I,” Comput. Struct., 85(1), pp. 131–147. [CrossRef]
Kulachenko, A. , Gradin, P. , and Koivurova, H. , 2007, “ Modeling the Dynamical Behaviour of a Paper Web Part II,” Comput. Struct., 85(3–4), pp. 148–157. [CrossRef]
Chen, J. P. , Wang, S. Z. , and Wu, W. Y. , 2008, “ Transverse Vibration of a Longitudinally Moving Soft Thin Fabric,” Int. J. Nonlinear Sci. Numer. Simul., 9(1), pp. 75–80. [CrossRef]
Varello, A. , and Carrera, E. , 2014, “ Free Vibration Response of Thin and Thick Nonhomogeneous Shells by Refined One-Dimensional Analysis,” ASME J. Vib. Acoust., 136(6), p. 061001. [CrossRef]
Marynowski, K. , 2010, “ Free Vibration Analysis of the Axially Moving Levy-Type Viscoelastic Plate,” Eur. J. Mech. A/Solids, 29(5), pp. 879–886. [CrossRef]
Ghayesh, M. H. , Amabili, M. , and Païdoussis, M. P. , 2013, “ Nonlinear Dynamics of Axially Moving Plates,” J. Sound Vib., 332(2), pp. 391–406. [CrossRef]
Li, W. M. , and Hong, J. Z. , 2012, “ Research on the Iterative Method for Model Updating Based on the Frequency Response Function,” Acta Mech. Sin., 28(2), pp. 450–457. [CrossRef]
Elishakoff, I. , and Santoro, R. , 2014, “ Random Vibration of a Point-Driven Two-Span Beam on an Elastic Foundation,” Arch. Appl. Mech., 84(3), pp. 355–374. [CrossRef]
Dong, X. J. , Peng, Z. K. , Zhang, W. M. , Meng, G. , and Chu, F. L. , 2013, “ Parametric Characteristic of the Random Vibration Response of Nonlinear Systems,” Acta Mech. Sin., 29(2), pp. 267–283. [CrossRef]
Huang, G. Q. , Huang, H. , Guo, H. , and Xu, X. P. , 2009, “ Influences of Sawing Parameters on Forces and Energy in Wire Sawing of Granite,” J. Mech. Eng., 45(3), pp. 234–239. [CrossRef]
Malkin, S. , 1989, Grinding Technology: Theory and Applications of Machining With Abrasives, SEM, New York.
Polini, W. , and Turchetta, S. , 2004, “ Force and Specific Energy in Stone Cutting by Diamond Mill,” Int. J. Mach. Tools Manuf., 44(11), pp. 1189–1196. [CrossRef]
Lutes, L. D. , and Sarkani, S. , 2004, Random Vibrations Analysis of Structural and Mechanical Systems, Elsevier, Amsterdam.

Figures

Grahic Jump Location
Fig. 1

(a) Force analysis of the processing zone of a beaded rope and (b) force analysis diagram of a beaded rope

Grahic Jump Location
Fig. 2

Model of diamond-beaded rope movement system

Grahic Jump Location
Fig. 3

(a) The response analysis under a concentrated load at x0 = 150 mm and (b) relationship between the concentrated loading position and linear velocity

Grahic Jump Location
Fig. 4

The influence of velocity on the system PSD

Grahic Jump Location
Fig. 5

The influence of tension on the system PSD

Grahic Jump Location
Fig. 6

Mean square response of the beaded rope transverse displacement with different locations of concentrated load

Grahic Jump Location
Fig. 7

The influence of tension on the system PSD

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