DEVELOPMENT OF A MATHEMATICAL MODEL FOR BELT STRETCH USING TRANSIENT DYNAMICS OF MEDIUM-DUTY POLYVINYL CHLORIDE-BASED BELT CONVEYORS R. Tupkar, D. Kumar, C. Sakhale Nigerian Journal of Technology, 2025 This study uses a mathematical modelling technique to present the transient stretch behaviour synthesis of Polyvinyl Chloride (PVC) belts in medium-duty conveyor systems. The mechanical properties (stretch behaviour) of PVC belts, a vital component of industrial material transport, are evaluated using modern dimensional analysis methods of Buckingham Pi on different parameters. The research analyzes conveyor design and operational parameters using mathematical modelling and Response Surface Methodology (RSM) to improve efficiency and dependability. The objective is to enhance operational perception and forecasting performance under diverse load circumstances. RSM explores variable interactions and finds optimal conditions for minimising downtime and maximising throughput through organised experiments and statistical analysis. Medium-duty belt conveyors from several industries were surveyed for field data. It covers operational output and input variables. The mathematical model emphasises transitory behaviours, involving fluctuations in output parameters. The conveyor design and operation model optimises energy efficiency, component life, and maintenance intervals. Field measurements verify model outputs, confirming their effectiveness and confidence. Results show that the maximum belt stretch reached 12.5 mm under full load conditions, and the proposed dynamic model predicts stretch with an accuracy of 94.3% compared to empirical measurements. The goodness of fit obtained by the analysis is SSE-24.64, R2-0.8587, Adjusted R2-0.801, and RMSE-0.7091. The mathematical model obtained by this interdisciplinary work provides a base to connect biopolymers and resin-epoxy-based hybrid composites to conveyor belt materials, helping develop high-performance medium-duty conveyor systems.
Optimizing belt tension and stretch dynamics: a modeling approach for medium-duty conveyor systems Rupali Tupkar, Devesh Kumar, Chandrashekhar Sakhale, Sagar Shelare Engineering Research Express, 2025 Medium-duty conveyor belt stretch modelling and simulation are needed to understand belt dynamics during startup, steady-state, and deceleration. Simulations evaluate a mathematical model’s belt tension and stretch prediction accuracy. This paper introduces a novel mathematical model for predicting belt tension and stretch in medium-duty conveyor systems, utilizing field data from diverse industrial settings. The model’s primary innovation is its integration of dynamic simulation with dimensional analysis using Buckingham’s Pi theorem, which allows for the accurate representation of transient behaviors, a critical improvement over previous static models. Operational input and output parameters are included in the data. The model concentrates on transitory behaviours, which are essential in scenarios of output parameter fluctuation. A medium-duty conveyor system with 0.04 Nm torque was simulated using field data, focusing on belt friction and pulley impacts. Experimental and mathematical model data were compared to simulation results. Tension rises early in the operation, stabilizes at a steady state, and then declines significantly as the system decelerates on both tight and slack sides. Slack side tension peaked at 8,757 N and dropped to 3,183 N, while tight side tension ranged from 22,193 N to 23,809 N before falling to 8,633 N by 36 s. The belt stretch reached 5.73204 meters before falling to 5.72993 meters after 30 s. The mathematical model predicted dynamic belt behaviour based on simulation and agreement with the mathematical model. This precise alignment shows that the mathematical model may be applied in real life to assure safe operational limits, eliminate mechanical failures, and extend system durability. Future research should include load changes and environmental characteristics in more complex conveyor settings to improve model reliability.
A case study on application of solar parabolic trough collector for reducing processing cost International Journal of Mechanical Engineering and Technology, 2017
RECENT SCHOLAR PUBLICATIONS
DEVELOPMENT OF A MATHEMATICAL MODEL FOR BELT STRETCH USING TRANSIENT DYNAMICS OF MEDIUM-DUTY POLYVINYL CHLORIDE-BASED BELT CONVEYORS R Tupkar, D Kumar, C Sakhale Nigerian Journal of Technology 44 (2), 262-272 , 2025 2025
Optimizing belt tension and stretch dynamics: A modeling approach for medium-duty conveyor systems R Tupkar, D Kumar, C Sakhale, S Shelare Engineering Research Express 7 (2), 025413 , 2025 2025 Citations: 5
Mathematical Modeling of Belt Stretch in Medium-Duty Conveyors Using Dimensional Analysis and Buckingham π Theorem R Tupkar, D Kumar, C Sakhale Advances in Nonlinear Variational Inequalities 28 (6), 94-105 , 2025 2025
Development of Mathematical Model Using Dimensional Analysis and Buckingham π Theorem for Belt Stretch of Medium-Duty Belt R Tupkar, D Kumar, C Sakhale Journal of Harbin Engineering University 45 (11) , 2024 2024 Citations: 1
Nanomaterials applications in solar energy: Exploring future prospects and challenges P Belkhode, M Giripunje, M Dhande, T Gajbhiye, S Waghmare, R Tupkar, ... Materials Today: Proceedings , 2024 2024 Citations: 28
Material selection and parametric evaluation for medium duty belt conveyor: A review on current status and future directions R Tupkar, D Kumar, C Sakhale Materials Today: Proceedings , 2024 2024 Citations: 10
An Effluent Treatment Plant’s Procedure Improved by Employing the Kaizen Approach S Ghatole, A Kadam, R Tupkar, P Ramteke MATEC Web of Conferences 405, 01004 , 2024 2024
Review of Transient Dynamics of Belt Conveyor RS Tupkar, D Kumar, JP Modak, S Mathur Dogo Rangsang Research Journal 10 (6), 71-75 , 2019 2019 Citations: 1
A Case Study on Predictive Maintenance of OJ-5522-Dt-40 CNC Milling Machine MS Lande, PM Sirsat, RS Tupkar Int J Adv Res Pub 1, 45 , 2017 2017 Citations: 2
Implementation of Lean Six Sigma RS Tupkar, MS Lande, SB Jawalekar International Research Journal of Engineering and Technology 3 (5), 1754-1760 , 2016 2016 Citations: 7
Experimental Investigation of four stroke spark ignition engine using alcohol petrol blends RS Tupkar, MS Lande, PS Borkar, S VS IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), 33-37 , 2014 2014 Citations: 2
MOST CITED SCHOLAR PUBLICATIONS
Nanomaterials applications in solar energy: Exploring future prospects and challenges P Belkhode, M Giripunje, M Dhande, T Gajbhiye, S Waghmare, R Tupkar, ... Materials Today: Proceedings , 2024 2024 Citations: 28
Material selection and parametric evaluation for medium duty belt conveyor: A review on current status and future directions R Tupkar, D Kumar, C Sakhale Materials Today: Proceedings , 2024 2024 Citations: 10
Implementation of Lean Six Sigma RS Tupkar, MS Lande, SB Jawalekar International Research Journal of Engineering and Technology 3 (5), 1754-1760 , 2016 2016 Citations: 7
Optimizing belt tension and stretch dynamics: A modeling approach for medium-duty conveyor systems R Tupkar, D Kumar, C Sakhale, S Shelare Engineering Research Express 7 (2), 025413 , 2025 2025 Citations: 5
A Case Study on Predictive Maintenance of OJ-5522-Dt-40 CNC Milling Machine MS Lande, PM Sirsat, RS Tupkar Int J Adv Res Pub 1, 45 , 2017 2017 Citations: 2
Experimental Investigation of four stroke spark ignition engine using alcohol petrol blends RS Tupkar, MS Lande, PS Borkar, S VS IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), 33-37 , 2014 2014 Citations: 2
Development of Mathematical Model Using Dimensional Analysis and Buckingham π Theorem for Belt Stretch of Medium-Duty Belt R Tupkar, D Kumar, C Sakhale Journal of Harbin Engineering University 45 (11) , 2024 2024 Citations: 1
Review of Transient Dynamics of Belt Conveyor RS Tupkar, D Kumar, JP Modak, S Mathur Dogo Rangsang Research Journal 10 (6), 71-75 , 2019 2019 Citations: 1
DEVELOPMENT OF A MATHEMATICAL MODEL FOR BELT STRETCH USING TRANSIENT DYNAMICS OF MEDIUM-DUTY POLYVINYL CHLORIDE-BASED BELT CONVEYORS R Tupkar, D Kumar, C Sakhale Nigerian Journal of Technology 44 (2), 262-272 , 2025 2025
Mathematical Modeling of Belt Stretch in Medium-Duty Conveyors Using Dimensional Analysis and Buckingham π Theorem R Tupkar, D Kumar, C Sakhale Advances in Nonlinear Variational Inequalities 28 (6), 94-105 , 2025 2025
An Effluent Treatment Plant’s Procedure Improved by Employing the Kaizen Approach S Ghatole, A Kadam, R Tupkar, P Ramteke MATEC Web of Conferences 405, 01004 , 2024 2024