Mathematical modeling and multi-objective optimization design of eccentric telescopic rod conveyor
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INDUSTRIAL APPLICATION PAPER
Mathematical modeling and multi-objective optimization design of eccentric telescopic rod conveyor Zhiping Zhai 1 & Xiaoyun Kang 1 & Hongbo Wang 2
&
Hongmei Cui 2 & Can Li 1 & Yingsheng Mou 1
Received: 25 June 2020 / Revised: 29 September 2020 / Accepted: 3 November 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
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 multiobjective 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. Keywords Eccentric telescopic rod conveyor . Theoretical model . Conveying performance . Multi-objective optimization
Nomenclature H drum installation height, mm R radius of drum, mm ω drum angular velocity, rad s−1 e eccentricity of the telescopic rod shaft, mm ε eccentricity ratio L length of the telescopic rod, mm m extension length of the telescopic rod, mm p length of the telescopic rod in the drum, mm ω1 angular velocity of the telescopic rod, rad s−1 h material thickness, mm α
δ t S v1 v
* Hongbo Wang [email protected]
ρ b Q va ve vr γ
1
College of Mechanical Engineering, Inner Mongolia University of Technology, Hohhot 010051, China
vB
2
College of Mechanical and Electrical Engineering, Inner Mongolia Agricultural University, Hohhot 010018, China
Responsible Editor: Ren-Jye Yang
aB
angle between the bracket of telescopic rod shaft and vertical direction, ° angle between the telescopic rod and the upper surface of material flow, ° time, s intersection area of motion trajectory of the telescopic rod end and longitudinal section of material flow, mm2 circumferential speed of the drum, m s−1 material
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