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浙江大学学报(工学版)
Journal of ZheJiang University (Engineering Science)  2019, Vol. 53 Issue (2): 241-249    DOI: 10.3785/j.issn.1008-973X.2019.02.006
Mechanical Engineering     
Model updating of dual-rotor decanter centrifuge with dynamic test
Jin ZHOU(),Tian-yu GAO,Yi CHEN,Hong-hao XI
College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
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Abstract  

An accurate finite element (FE) dynamic model of decanter centrifuge with double-rotor was established based on dynamic test and model updating. The first three modal parameters of the centrifuge and screw conveyor under different support conditions were acquired through dynamic test on complex double-rotor assembly. The three-dimensional FE model was built accurately and the structural connection stiffness was parameterized. The effectiveness of established FE model was verified through the modal analysis and the comparison of each modal parameter between test and FE analysis. The influence of each connecting structure of the decanter centrifuge on structural modal parameters was obtained through sensitivity analysis and the key connecting structures of screw conveyor and assembled decanter centrifuge were model updated by genetic algorithm. The error of the first three bending modal frequencies between the updated model supported by bearings and test results was reduced to less than 5%. The updated model can be used to simulate the dynamic behaviour of decanter centrifuge and make a good basis for further dynamic analysis.

Key words： decanter centrifuge      dual-rotor      modal parameter      finite element (FE) model      sensitivity analysis      model updating     
Received: 25 June 2018      Published: 21 February 2019
CLC:  TH 113  
  TQ 51  
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Jin ZHOU
Tian-yu GAO
Yi CHEN
Hong-hao XI
Cite this article:

Jin ZHOU,Tian-yu GAO,Yi CHEN,Hong-hao XI. Model updating of dual-rotor decanter centrifuge with dynamic test. Journal of ZheJiang University (Engineering Science), 2019, 53(2): 241-249.

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http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2019.02.006     OR     http://www.zjujournals.com/eng/Y2019/V53/I2/241


采用动力测试的双转子卧螺离心机模型修正

基于动力测试及有限元模型修正建立准确的双转子结构卧式螺旋离心机动力学模型. 通过对复杂双转子装配体进行分步动力测试，获得整机及内转子在不同支撑条件下的前3阶模态参数. 研究双转子结构三维有限元模型精确建模方法并建立结构连接刚度的参数化模型. 通过有限元模态仿真分析及仿真结果与各阶试验模态参数的对比，检验模型的有效性. 通过参数灵敏度分析，获得卧螺离心机各连接结构中对结构模态参数影响最大的因子，并使用遗传算法分别对内转子和整机关键连接结构进行模型修正. 修正后的整机有限元模型在轴承支撑状态下前3阶弯曲模态频率仿真结果与试验结果之间的误差小于5%，可以较好地模拟卧螺离心机的动态特性，为深入的振动分析打下良好基础.


关键词： 卧式螺旋离心机,  双转子,  模态参数,  有限元模型,  灵敏度分析,  模型修正 
Fig.1 Structural diagram of decanter centrifuge
Fig.2 Modal test process of decanter centrifuge
Fig.3 Identification of first three bending mode shapes in each modal test
Fig.4 Sketch map of decanter centrifuge finite element model and connecting structures
轴承位置 轴承型号 F/N K/(N·m?1)
内螺旋大端 SKF NU216 768 1.090×109
内螺旋小端 NKI 85/26 506 1.780×109
外转鼓大端 SKF NU1020M/C3 3 195 1.468×109
外转鼓小端 SKF 6218MC4 1 852 1.974×108
Tab.1 Stiffness of each bearing in decanter centrifuge
分析对象 阶次 ft / Hz fa / Hz Δf/%
内螺旋自由-自由 1 528.6 514.9 2.59
2 1 211.4 1 146.5 5.36
3 1 914.0 2 005.7 4.79
整机自由-自由 1 115.6 105.37 8.85
2 231.6 239.21 3.29
3 347.2 309.85 10.76
整机轴承支撑 1 103.2 90.7 12.10
2 146.1 132.9 9.10
3 290.8 274.3 5.70
Tab.2 Comparison of modal frequencies between test and finite element calculation before updating
Fig.5 First three bending mode shapes of screw conveyor and decanter centrifuge under different support conditions
Fig.6 Welding structure of screw conveyor
Fig.7 Fmite element model and updating area of screw conveyor
Fig.8 Sensitivity analysis of selected updating factors for each modal parameter of screw conveyor
Fig.9 Optimizing curve of fitness function
参数 Ew1 Ew2 Ew3 Ew4
修正前 193 193 193 193
修正后 320 217 283 320
Tab.3 Comparison of elastic modulus of heat affected zone before and after updating GPa
阶次 ft/Hz foa/Hz Δf1/% fua/Hz Δf2/%
1 528.6 514.9 2.59 529.5 0.17
2 1 211.4 1 146.5 5.36 1 185.4 2.15
3 1 914.0 2 005.7 4.79 2 051.6 7.19
Tab.4 Comparison of modal frequencies of screw conveyor between test and finite element calculation before and after updating
Fig.10 Comparison of frequency response of screw conveyor between test and finite element calculation before and after updating
Fig.11 Sensitivity analysis of connection stiffness for each modal frequency of decanter centrifuge
Fig.12 Correlation analysis of first two sensitive connection stiffness in each modal frequency
修正参数 K1 K2 K3 K4
修正前 500 000 500 000 500 000 500 000
修正后 1 338 746 1 320 746 2 573 608 2 979 869
Tab.5 Comparison of connection stiffness before and after updating N·mm−1
阶次 ft/Hz foa/Hz Δf1/% fua/Hz Δf2/%
1 115.6 105.37 8.85 117.63 1.73
2 231.6 239.21 3.29 244.06 5.31
3 347.2 309.85 10.76 337.87 2.37
Tab.6 Updating result of decanter centrifuge without support
阶次 ft/Hz foa/Hz Δf1/% fua/Hz Δf2/%
1 103.2 90.7 12.1 102.5 0.7
2 146.1 132.9 9.1 142.1 2.7
3 290.8 274.3 5.7 284.2 2.3
Tab.7 Updating result of decanter centrifuge supported by bearing
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