Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 29, Issue 1-3, Pages 12-24Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2015.04.018
Keywords
The startup process of a water jet mixed-flow pump; Shafting system; Fractional calculus; Modeling; Physical experiments
Categories
Funding
- scientific research foundation of National Natural Science Foundation [51479173]
- Fundamental Research Funds for the Central Universities of Ministry of Education of China [201304030577]
- Northwest AAMP
- F University Foundation, China [2013BSJJ095]
- scientific research foundation on water engineering of Shaanxi Province [2013slkj-12]
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The modeling of traditional shafting systems mainly pays attention to the running states in the small fluctuations. However, the dynamic behaviors of the shafting system for a water jet mixed flow pump in the transient states play a key role in maintaining safety and stability. In this paper, a dynamic mathematical model of the shafting system for a water jet mixed flow pump during the startup process is established considering fractional-order damping forces, rub-impact forces and misalignment faults. Furthermore, we analyzed the characteristics of the above system during the startup process with different impact forces through the above fractional-order mathematical model. Moreover, the effect of the fractional-order on the startup process is also studied by bifurcation diagrams, time waveforms and phase orbits. Fortunately, some laws are found from the numerical simulation results. Finally, compared with the physical experimental data, the fractional-order model of the shafting system for the water jet mixed-flow pump has certain advantage and effectiveness. (C) 2015 Elsevier B.V. All rights reserved.
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