20 kW supercritical carbon dioxide turbine power generation test system was built.Numerical simulation study for the critical speed of the turbine generator shaft system was carried out.The first 4 order critical speeds of hollow and solid shafts were compared and analyzed.The first 4 order modal frequencies of the turbine were calculated.Some experiments were carried out to research the influence of the speed and load on vibration characteristics.Spectrum graphs were used to analyze the acceleration response of the shell at a speed of 0-48 000 r/min and a load of 0-20 kW.Calculation and test results showed that
the critical speed of hollow rotor was higher than that of the solid rotor
and critical speed of a rotor with a turbine was lower than that of a rotor without a turbine.As load increased from 0 kW to 15 kW
rotor power frequency vibration gradually decreased
but double frequency vibration with lower amplitude appeared.As the speed ran from 11 000 r/min to 40 000 r/min
vibration response of the drive end under different powers was lower than that of the free end.Vibration response of the drive end under different powers was higher at 48 000 r/min than that of the free end.
WANG Xiaohe . Integration and methods for CO 2 power cycle driven by concentrated solar thermal energy [D]. Beijing : University of Chinese Academy of Sciences , 2020 . (in Chinese)
IVERSON B D , CONBOY T M , PASCH J J , et al . Supercritical CO 2 Brayton cycles for solar⁃thermal energy [J]. Applied Energy , 2013 , 111 : 957 ⁃ 970 .
LU Zhenyong . Dynamical modeling and nonlinear vibration study of aero⁃engine rotor system [D]. Harbin : Harbin Institute of Technology , 2017 . (in Chinese)
CHIANG H W D , HSU C N , TU S H . Rotor⁃bearing analysis for turbomachinery single and dual⁃rotor systems [J]. Journal of Propulsion and Power , 2004 , 20 ( 6 ): 1096 ⁃ 1104 .
DENG Sier , HE Fengxiang , YANG Haisheng , et al . Analysis on dynamic characteristics of a dual rotor⁃rolling bearing coupling system for aero‑engine [J]. Journal of Aerospace Power , 2010 , 25 ( 10 ): 2386 ⁃ 2395 . (in Chinese)
LI Chaofeng , LIU Guangchao , ZHOU Shihua , et al . Dynamic characteristics of dual⁃rotor multi⁃disks⁃rotor system [J]. Journal of Northeastern University(Natural Science) , 2013 , 34 ( 7 ): 994 ⁃ 998 .
MEVEL B , GUYADER J L . Routes to chaos in ball bearings [J]. Journal of Sound and Vibration , 1993 , 162 ( 3 ): 471 ⁃ 487 .
MEVEL B , GUYADER J L . Experiments on routes to chaos in ball bearings [J]. Journal of Sound and Vibration , 2008 , 318 ( 3 ): 549 ⁃ 564 .
WANG Ligang . Nonlinear dynamical behaviors of the coupling blade⁃rotor⁃bearing system [D]. Harbin : Harbin Institute of Technology , 2009 . (in Chinese)
PEI Honglei . Electromagnetic vibration subjected to heterogeneous air⁃gap electromagnetic force of asynchronous motor rotor supported by flexible bearing [D]. Hebei : Yanshan University , 2011 . (in Chinese)
邱家俊 . 机电耦联系统的非线性振动 [M]. 北京 : 科学出版社 , 1992 .
LEE Y B , KIM T H , KIM C H , et al . Unbalance response of a super⁃critical rotor supported by foil bearings⁃comparison with test results [J]. Tribology Transactions , 2004 , 47 ( 1 ): 54 ‑ 60 .
YANG Zhian , LI Wenlan , QIU Jiajun . Bifurcation and chaos excited by electromagnetism force of magnetism and solid coupling of hydroelectric⁃generator stator system [J]. Journal of Tianjin University , 2005 , 38 ( 11 ): 986 ⁃ 990 . (in Chinese)
BAI Huiyu , JING Jianping , MENG Guang . Survey and outlook on the research of the unbalanced magnetic pull in the motors [J]. Noise and Vibration Control , 2009 , 29 ( 6 ): 5 ⁃ 7 . (in Chinese)
XU Xuepeng , HAN Qinkai , CHU Fulei . A general electromagnetic excitation model for electrical machines considering the magnetic saturation and rub impact [J]. Journal of Sound and Vibration , 2018 , 416 , 154 ⁃ 171 .
LI Yanming , GUO Hong , XIE Qingming , et al . Unbalanced magnetic pull due to the magnetizing in super high speed permanent magnet synchronous machine [J]. Journal of Bejing University of Aeronautics and Astronautics , 2013 , 39 ( 6 ): 771 ‑ 775 . (in Chinese)
HAO Long , YANG Jinfu , TANG Changliang , et al . Tests for dynamic characteristics of a high speed permanent magnet motors rotor under different loads [J]. Journal of Vibration and Shock , 2018 , 37 ( 15 ): 1 ⁃ 5,13 . (in Chinese)
HAO Long . Experimental study on dynamic characteristics of micro gas turbine gas bearing rotor system [D]. Beijing : University of Chinese Academy of Sciences , 2017 . (in Chinese)