The modeling of the fractional-order shafting system for a water jet mixed-flow pump during the startup process

被引:20
作者
Xu, Beibei [1 ]
Chen, Diyi [1 ]
Zhang, Hao [1 ]
Wang, Feifei [1 ]
机构
[1] Northwest A&F Univ, Inst Water Resources & Hydropower Res, Yangling 712100, Shaanxi, Peoples R China
关键词
The startup process of a water jet mixed-flow pump; Shafting system; Fractional calculus; Modeling; Physical experiments; RESONANCE; DYNAMICS; CALCULUS; BEHAVIOR; BEARING; STALL; POWER;
D O I
10.1016/j.cnsns.2015.04.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:12 / 24
页数:13
相关论文
共 40 条
[1]   Evaluation of the jet pump scrubber as a novel approach for soil remediation [J].
Bayley, RW ;
Biggs, CA .
PROCESS SAFETY AND ENVIRONMENTAL PROTECTION, 2005, 83 (B4) :381-386
[2]   Numerical solution of fractional Sturm-Liouville equation in integral form [J].
Blaszczyk, Tomasz ;
Ciesielski, Mariusz .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (02) :307-320
[3]   Observation of the fractional quantum Hall effect in graphene [J].
Bolotin, Kirill I. ;
Ghahari, Fereshte ;
Shulman, Michael D. ;
Stormer, Horst L. ;
Kim, Philip .
NATURE, 2009, 462 (7270) :196-199
[4]   Non-intrusive detection of rotating stall in pump-turbines [J].
Botero, F. ;
Hasmatuchi, V. ;
Roth, S. ;
Farhat, M. .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2014, 48 (1-2) :162-173
[5]   Nonlinear dynamic analysis of fractional order rub-impact rotor system [J].
Cao, Junyi ;
Ma, Chengbin ;
Jiang, Zhuangde ;
Liu, Shuguang .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (03) :1443-1463
[6]   Modeling, nonlinear dynamical analysis of a novel power system with random wind power and it's control [J].
Chen, Diyi ;
Liu, Si ;
Ma, Xiaoyi .
ENERGY, 2013, 53 :139-146
[7]   An equivalent direct modeling of a rotary shaft with hot-fit components using contact element modal analysis results [J].
Chen, Shin-Yong .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (05) :1093-1099
[8]   Fractional damped oscillators and fractional forced oscillators [J].
Chung, Won Sang ;
Jung, Min .
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2014, 64 (02) :186-191
[9]   Effect of Static Power Supply in Alternator Used for Short-Circuit Testing-Observation of Shaft Voltage [J].
Datta, Arun Kumar ;
Dubey, Manisha ;
Jain, Shailendra .
IEEE TRANSACTIONS ON POWER ELECTRONICS, 2014, 29 (11) :6074-6080
[10]  
EI-Sayed A, 2014, DISCRETIZATION FORCE, DOI [10.1186/1687-1847-2014-66, DOI 10.1186/1687-1847-2014-66]