International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Analysis of Transient Belt Stretch for Horizontal and Inclined Belt Conveyor System

Analysis of Transient Belt Stretch for Horizontal and Inclined Belt Conveyor System

Sanjay G. Sakharwade
Department of Mechanical Engineering, Bhiali Institute of Technology, Durg, India.

Shubharata Nagpal
Department of Mechanical Engineering, Bhiali Institute of Technology, Durg, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.5-092

Received on March 23, 2019
Accepted on June 09, 2019


Belt is costliest part of belt conveyor system. Sudden rise in belt tension within transient starting condition, results in belt failure and structure damage. It is difficult to measure these stresses by static calculation method and hence their presence might go undetected. Belt elongation is an evident quantity for these stresses. Dynamic belt stretch is formulated in terms of displacement response of conjugative belt units with respect to time. This paper presents analysis of the event and propagation of dynamic belt stretch for straight horizontal and straight inclined belt conveyor system. Dynamic behavior of belt system is investigated for starting condition of fully stacked conveyor belt. Belt conveyor system is considered as series of vibrating mass and its unit is assumed to be a viscoelastic segment. Equation of motion of belt unit is developed by Lagrange’s approach. Observed transient parameters are more vibrant in inclined belt than the horizontal belt system. Maximum value of dynamic belt stretch for horizontal belt systems founds 1.13% of total belt length and for inclined belt conveyor system, it is 1.16% of belt length. Both values are within range of standard value specified for fabric belt system.

Keywords- Transient, Stretch, Belt conveyor, Simulation, Lagrange.


Sakharwade, S. G., & Nagpal, S. (2019). Analysis of Transient Belt Stretch for Horizontal and Inclined Belt Conveyor System. International Journal of Mathematical, Engineering and Management Sciences, 4(5), 1169-1179. https://dx.doi.org/10.33889/IJMEMS.2019.4.5-092.

Conflict of Interest

The author(s) confirm that this article contents have no conflict of interest.


We are grateful to all the reviewers for their encouraging comments and valuable corrections.


Alzoubi, M.F., Khateeb, S., & Al-Hallaj, S. (2016). Modeling of compression curves of phase change graphite composites using Maxwell and Kelvin models. Journal of Composite Materials, 50(8), 1123-1135.

BIS. (2010). IS 11592: 2000 Selection and design of belt conveyors — code of practice. New Delhi, India: Bureau of Indian Standards.

CEMA, (1997). Belt conveyors for bulk materials, 5th Edition. USA: Conveyor Equipment Manufacturers Association.

DIN 22101: 2011-12. (2011), Continuous conveyors – belt conveyors for loose bulk materials – Basis for calculation and dimensioning. Berlin, Germany: DIN Deutsches Institut für Normung e. V.

Dunlop, (2016). Technical manual, conveyor belting, Version 2.6, Australia: Fenner Dunlop.

Harrison, A. (1998). Modeling belt tension around a drive drum. Bulk Solids Handling, 18(1), 75-80.

Harrison, A. (2008). Non-linear belt transient analysis – a hybrid model for numerical belt conveyor simulation. Bulk Solids Handling, 28(4), 242-247.

Hou, Y.F., & Meng, Q.R. (2008). Dynamic characteristics of conveyor belts. Journal of China University of Mining and Technology, 18(4), 629-633.

Hu, K., Guo, Y.C., & Wang, P.Y. (2010, June). Simulation methods for conveyor belt based on virtual prototyping. In 2010 International Conference on Mechanic Automation and Control Engineering (pp. 2332-2334). IEEE.

Jazar, R.N. (2013). Advanced vibrations: a modern approach. Springer Science & Business Media.

Karolewski, B., & Ligocki, P. (2014). Modelling of long belt conveyors. Maintenance and Reliability, 16(2), 179-187.

Kim, W.J., Park, T.G., & Lee, S.S. (1995). Transient dynamic analysis of belt conveyor system using the lumped parameter method. Bulk Solids Handling, 15(4), 573-578.

Kulinowski, P. (2014). Simulation method of designing and selecting tensioning systems for mining belt conveyors. Archives of Mining Sciences, 59(1), 123-138.

Lakes, R. (2009). Viscoelastic materials. Cambridge University Press. ISBN: 9780521885683.

Leamy, M.J., & Wasfy, T.M. (2002). Transient and steady-state dynamic finite element modeling of belt-drives. Journal of Dynamic Systems, Measurement, and Control, 124(4), 575-581.

Li, J., & Pang X. (2018). Belt conveyor dynamic characteristics and influential factors. Shock and Vibration. Article ID 8106879, 13 pages. https://doi.org/10.1155/2018/8106879.

Lodewijks, G. (1996). Dynamics of belt systems. Ph.D thesis. Delft University of Technology, Delft, Netherland.

Manjgo, M., Piric, E., Vuherer, T., & Burzic, M. (2018). Determination of mechanical properties of composite materials-the rubber conveyor belt with cartridges made of polyester and polyamide. Annals of the Faculty of Engineering Hunedoara, 16(1), 141-144.

Mulani, I.G. (2012). Engineering science and application design for belt conveyors. Madhu I. Mulani.

Nordell, L.K., & Ciozda, Z.P. (1984). Transient belt stresses during starting and stopping: elastic response simulated by finite element methods. Bulk Solids Handling, 4(1), 93-98.

Pang, X., Li, J., & Kou, Z. (2015). Longitudinal vibrations of the viscoelastic moving belt. Shock and Vibration. Article ID 769309, 6 pages. https://doi.org/10.1155/2015/769309.

Rao, S.S. (2007). Vibration of continuous systems. John Wiley & Sons, Inc. ISBN: 978-0-471-77171-5.

Song, W., Wen, B., & Liu, H. (2006). Simulation research on dynamics of belt conveyor system. International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 2: 30th Annual Mechanisms and Robotics Conference, Parts A and B, pp. 645-654, ASME. doi:10.1115/DETC2006-99024.

Woodcock, C.R., & Mason, J.S. (2012). Bulk solids handling: an introduction to the practice and technology. Springer Science & Business Media.

Yang, G. (2014). Dynamics analysis and modeling of rubber belt in large mine belt conveyors. Sensors & Transducers, 181(10), 210-218.