Mathematical modeling and multi-objective optimization design of eccentric telescopic rod conveyor

Abstract

In order to improve the conveying performance of the eccentric telescopic rod conveyor, theoretical analysis is used to find rotation center position of the telescopic rod and the relationship among various structural parameters of the conveyor with position alteration of the eccentric axis. A mathematical model of one periodic conveying capacity of the device and the velocity and acceleration equations of the telescopic rod end are established. The multi-objective optimization analysis are done by the virtual prototyping technology and the multi-island genetic algorithm, which takes the maximum conveying volume of one periodic and minimum acceleration of the rod end as the optimization goals. The results show that after multi-objective optimization, the conveying efficiency is improved, while the impact of telescopic rod striking on materials during the conveying process is reduced and the overall performance is better. Then, an example is taken to verify the mathematical models and multi-objective optimization analysis results, and the wireless acceleration test system is used to test the telescopic rod end acceleration before and after the structural optimization. The experimental and mathematical model calculation results show good agreement before and after the structural parameters’ optimization. The study shows that the mathematical model and the multi-objective optimization results are credible. It provides a theoretical and methodological reference for the practical design and optimization of eccentric telescopic rod conveyor.