Mathematical Modeling of Belt Stretch in Medium-Duty Conveyors Using Dimensional Analysis and Buckingham π Theorem

In this research forecasts medium-duty conveyor belt stretch using a mathematical model. Because excessive belt stretch causes operational inefficiencies and mechanical difficulties, accurately modeling it enhances conveyor efficiency and longevity. Despite its importance, belt stretch prediction models for such applications are scarce, highlighting a literature gap. The study develops a mathematical model for belt stretch in medium-duty conveyors by employing the Buckingham π theorem and dimensional analysis. The study identifies key physical characteristics to simplify the system into dimensionless stretch behavior categories. The Buckingham theorem forms dimensionless groups to simplify belt stretch parameters and aid understanding. The experimental and simulation outcomes corroborated the model's predictions regarding belt elongation. The sensitivity of belt stretch to dimensionless groups suggests modifications to operational parameters in order to prevent potential complications. This study has implications for the design and maintenance of medium-duty belt conveyors. The optimized model assists engineers in predicting and mitigating belt elongation, thereby enhancing conveyor reliability and decreasing maintenance expenses. This study integrates theoretical frameworks and practical applications to enhance conveyor system technology and promote sustainability within the industry. Future experiments could validate the model across operational conditions and introduce more complex conveyor systems and materials.