Abstract

Based on the rigid finite element method and multibody dynamics, a discrete model of a flexible conveyor belt considering the material viscoelasticity is established. RFE (rigid finite element) and SDE (spring damping element) are used to describe the rigidity and flexibility of a conveyor belt. The dynamic differential equations of the RFE are derived by using Lagrange’s equation of the second kind of the non-conservative system. The generalized elastic potential capacity and generalized dissipation force of the SDE are considered. The forward recursive formula is used to construct the conveyor belt model. The validity of dynamic equations of conveyor belt is verified by field test. The starting mode of the conveyor is simulated by the model.

Highlights

  • Belt conveyors are widely used in the field of transportation engineering due to their advantages of a strong conveying capacity, a long conveying distance, high speed, stable operation and low noise [1].A typical belt conveyor is composed of conveyor belts, drive rollers, redirecting rollers, idlers, tensioning devices and braking devices

  • The conveyor belt p can be discretized into mp rigid body elements (RFEs) reflecting the rigid characteristics of the conveyor belt, and the rigid body elements are connected by spring damping elements (SDE) reflecting the flexible characteristics of the conveyor belt

  • Theproblems problemsassociated associated with the dynamic modelling of belt with systems with tree system configurations is by the classical rigid finite body element method

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Summary

Introduction

Belt conveyors are widely used in the field of transportation engineering due to their advantages of a strong conveying capacity, a long conveying distance, high speed, stable operation and low noise [1]. The earliest finite element discrete model is a one-dimensional longitudinal vibration analysis model [10,11], which is essentially based on the concentrated mass finite element method. It regards the continuous conveyor belt as a system composed of a series of particles connected by springs and damping elements. The rigid finite body element method is suitable for the computer simulation modelling of a rigid-flexible complex mechanical system composed of a flexible body (conveyor belt) and a rigid body (roller, roller system, etc.), such as a belt conveyor. The model is used to study the dynamic performance of the conveyor under different starting modes

Discrete Model of the Conveyor Belt
Coordinate Description
Potential Energy and Generalized Stiffness Matrix
Coefficients of the Stiffness and Damping j
Kinetic Energy and Lagrangian Operator
Gravitational Potential Energy and Generalized Force
Elastic Potential Energy
Forward Recursive Formulation
Dynamic Equation of the Rigid Flexible Multibody System
Field Test
Measured layoutlayout of beltof conveyor:
Verification
Discussions
11. Starting
Conclusions

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