Dynamic stiffness characteristics of aero-engine elastic support structure and its effects on rotor systems: mechanism and numerical and experimental studies

doi:10.1007/s10483-023-2950-8

Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (2): 221-236.doi: https://doi.org/10.1007/s10483-023-2950-8

Dynamic stiffness characteristics of aero-engine elastic support structure and its effects on rotor systems: mechanism and numerical and experimental studies

Lei LI^1,2, Zhong LUO^1,2,3, Kaining LIU^1,2, Jilai ZHOU^1,2

1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;
2. Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang 110819, China;
3. Foshan Graduate School of Innovation, Northeastern University, Foshan 528312, Guangdong Province, China

收稿日期:2022-08-31 修回日期:2022-10-03 发布日期:2023-02-04
通讯作者: Zhong LUO, E-mail: zhluo@mail.neu.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 11872148 and U1908217), the Fundamental Research Funds for the Central Universities of China (Nos. N2224001-4 and N2003013), and the Basic and Applied Basic Research Foundation of Guangdong Province of China (No. 2020B1515120015)

Dynamic stiffness characteristics of aero-engine elastic support structure and its effects on rotor systems: mechanism and numerical and experimental studies

Lei LI^1,2, Zhong LUO^1,2,3, Kaining LIU^1,2, Jilai ZHOU^1,2

1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;
2. Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang 110819, China;
3. Foshan Graduate School of Innovation, Northeastern University, Foshan 528312, Guangdong Province, China

Received:2022-08-31 Revised:2022-10-03 Published:2023-02-04
Contact: Zhong LUO, E-mail: zhluo@mail.neu.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 11872148 and U1908217), the Fundamental Research Funds for the Central Universities of China (Nos. N2224001-4 and N2003013), and the Basic and Applied Basic Research Foundation of Guangdong Province of China (No. 2020B1515120015)

摘要/Abstract

摘要： The support structure of a rotor system is subject to vibration excitation, which results in the stiffness of the support structure varying with the excitation frequency (i.e., the dynamic stiffness). However, the dynamic stiffness and its effect mechanism have been rarely incorporated in open studies of the rotor system. Therefore, this study theoretically reveals the effect mechanism of dynamic stiffness on the rotor system. Then, the numerical study and experimental verification are conducted on the dynamic stiffness characteristics of a squirrel cage, which is a common support structure for aero-engine. Moreover, the static stiffness experiment is also performed for comparison. Finally, a rotor system model considering the dynamic stiffness of the support structure is presented. The presented rotor model is used to validate the results of the theoretical analysis. The results illustrate that the dynamic stiffness reduces the critical speed of the rotor system and may lead to a new resonance.

关键词: dynamic stiffness, squirrel cage, rotor system, dynamic characteristic, critical speed

Abstract: The support structure of a rotor system is subject to vibration excitation, which results in the stiffness of the support structure varying with the excitation frequency (i.e., the dynamic stiffness). However, the dynamic stiffness and its effect mechanism have been rarely incorporated in open studies of the rotor system. Therefore, this study theoretically reveals the effect mechanism of dynamic stiffness on the rotor system. Then, the numerical study and experimental verification are conducted on the dynamic stiffness characteristics of a squirrel cage, which is a common support structure for aero-engine. Moreover, the static stiffness experiment is also performed for comparison. Finally, a rotor system model considering the dynamic stiffness of the support structure is presented. The presented rotor model is used to validate the results of the theoretical analysis. The results illustrate that the dynamic stiffness reduces the critical speed of the rotor system and may lead to a new resonance.

Key words: dynamic stiffness, squirrel cage, rotor system, dynamic characteristic, critical speed

中图分类号:

74H45

Lei LI, Zhong LUO, Kaining LIU, Jilai ZHOU. Dynamic stiffness characteristics of aero-engine elastic support structure and its effects on rotor systems: mechanism and numerical and experimental studies[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 221-236.

参考文献

[1] ZHANG, W. and DING, Q. Elastic ring deformation and pedestal contact status analysis of elastic ring squeeze film damper. Journal of Sound and Vibration, 346, 314–327(2015)
[2] HAN, Z. F., DING, Q., and ZHANG, W. Dynamical analysis of an elastic ring squeeze film damper-rotor system. Mechanism and Machine Theory, 131, 406–419(2019)
[3] HAN, Z. F., MA, Z. S., ZHANG, W., HAN, B. B., and DING, Q. Dynamic analysis of an elastic ring squeeze film damper supported rotor using a semi-analytic method. Engineering Applications of Computational Fluid Mechanics, 14, 1263–1278(2020)
[4] ZHANG, W., HAN, B. B., LI, X., SUN, J. Q., and DING, Q. Multiple-objective design optimization of squirrel cage for squeeze film damper by using cell mapping method and experimental validation. Mechanism and Machine Theory, 132, 66–79(2019)
[5] DILIGENSKIY, D. S. and NOVIKOV, D. K. Studying of manufacturing tolerance influence on the performance of GTE rotor elastic rings. Procedia Engineering, 176, 483–497(2017)
[6] LUO, Z., LI, L., YANG, Y., HOU, X. J., LIU, J. X., and DING, Z. Experimental and numerical investigations on novel models for mechanical behaviors of the elastic ring in aero-engine. Proceedings of the Institution of Mechanical Engineers, Part C : Journal of Mechanical Engineering Science, 235, 6257–6267(2021)
[7] SUN, K., LUO, Z., LI, L., LIU, J. X., and WU, F. Y. Dynamic analysis of the variable stiffness support rotor system with elastic rings. Nonlinear Dynamics, 110, 201–217(2022)
[8] ZENG, J., MA, H., YU, K., XU, Z. T., and WEN, B. C. Coupled flapwise-chordwise-axialtorsional dynamic responses of rotating pre-twisted and inclined cantilever beams subject to the base excitation. Applied Mathematics and Mechanics (English Edition), 40(8), 1053–1082(2019) https://doi.org/10.1007/s10483-019-2506-6
[9] GUO, X. M., XIAO, C. L., MA, H., LI, H., ZHANG, X. F., and WEN, B. C. Improved frequency modeling and solution for parallel liquid-filled pipes considering both fluid-structure interaction and structural coupling. Applied Mathematics and Mechanics (English Edition), 43(8), 1269–1288(2022) https://doi.org/10.1007/s10483-022-2883-9
[10] EL-BORGI, S., ALRUMAIHI, S., RAJENDRAN, P., YAZBECK, R., FERNANDES, R., BOYD, J. G., and LAGOUDAS, D. C. Model updating of a scaled piping system and vibration attenuation via locally resonant bandgap formation. International Journal of Mechanical Sciences, 194, 106211(2021)
[11] YUAN, J. R. and DING, H. Dynamic model of curved pipe conveying fluid based on the absolute nodal coordinate formulation. International Journal of Mechanical Sciences, 232, 107625(2022)
[12] DENG, T. C., DING, H., and CHEN, L. Q. Critical velocity and supercritical natural frequencies of fluid-conveying pipes with retaining clips. International Journal of Mechanical Sciences, 222, 107254(2022)
[13] WEI, S., YAN, X., FAN, X., MAO, X. Y., DING, H., and CHEN, L. Q. Vibration of fluid-conveying pipe with nonlinear supports at both ends. Applied Mathematics and Mechanics (English Edition), 43(6), 845–862(2022) https://doi.org/10.1007/s10483-022-2857-6
[14] MAO, X. Y., YIN, M. M., DING, H., GENG, X. F., SHEN, Y. J., and CHEN, L. Q. Modeling, analysis, and simulation of X-shape quasi-zero-stiffness-roller vibration isolators. Applied Mathematics and Mechanics (English Edition), 43(7), 1027–1044(2022) https://doi.org/10.1007/s10483-022-2871-6
[15] WANG, N. F. and JIANG, D. X. Vibration response characteristics of a dual-rotor with unbalancemisalignment coupling faults: theoretical analysis and experimental study. Mechanism and Machine Theory, 125, 207–219(2018)
[16] OOI, L. E. and RIPIN, Z. M. Dynamic stiffness and loss factor measurement of engine rubber mount by impact test. Materials and Design, 32, 1880–1887(2011)
[17] LI, P. F., XU, S. Y., XU, C., DU, F., and CAO, S. C. Development of a miniature dynamic stiffness measurement prototype toward structural health monitoring of space inflatable structures. Measurement, 194, 111051(2022)
[18] WANG, Y. F., MA, Y. H., and HONG, J. Study on dynamic stiffness of supporting structure and its influence on vibration of rotors. Chinese Journal of Aeronautics, 35, 252–263(2022)
[19] CHEN, G. Vibration modelling and verifications for whole aero-engine. Journal of Sound and Vibration, 349, 163–176(2015)
[20] BRIEND, Y., DAKEL, M., CHATELET, E., ANDRIANOELY, M., DUFOUR, R., and BAUDIN, S. Effect of multi-frequency parametric excitations on the dynamics of on-board rotor-bearing systems. Mechanism and Machine Theory, 145, 103660(2020)
[21] HEYDARI, H. and KHORRAM, A. Effects of location and aspect ratio of a flexible disk on natural frequencies and critical speeds of a rotating shaft-disk system. International Journal of Mechanical Sciences, 152, 596–612(2019)
[22] LI, L., LUO, Z., HE, F. X., DING, Z., and SUN, K. A partial similitude method for vibration responses of rotor systems: numerical and experimental verification. International Journal of Mechanical Sciences, 208, 106696(2021)
[23] HAN, Z., LIU, J., and CHEN, J. Research on natural vibration responses based on asymmetrical dual-rotor model. Mechanism and Machine Theory, 167, 104563(2022)
[24] HAN, B. B. and DING, Q. Forced responses analysis of a rotor system with squeeze film damper during flight maneuvers using finite element method. Mechanism and Machine Theory, 122, 233– 251(2018)
[25] CHEN, X., REN, G. M., and GAN, X. H. Dynamic behavior of a flexible rotor system with squeeze film damper considering oil-film inertia under base motions. Nonlinear Dynamics, 106, 3117–3145(2021)
[26] GAO, P., HOU, L., YANG, R., and CHEN, Y. S. Local defect modelling and nonlinear dynamic analysis for the inter-shaft bearing in a dual-rotor system. Applied Mathematical Modelling, 68, 29–47(2019)
[27] GAO, T. and CAO, S. Q. Paroxysmal impulse vibration phenomena and mechanism of a dualrotor system with an outer raceway defect of the inter-shaft bearing. Mechanical Systems and Signal Processing, 157, 107730(2021)
[28] QIN, Z. Y., HAN, Q. K., and CHU, F. L. Analytical model of bolted disk-drum joints and its application to dynamic analysis of jointed rotor. Proceedings of the Institution of Mechanical Engineers, Part C : Journal of Mechanical Engineering Science, 228, 646–663(2014)
[29] QIN, Z. Y., HAN, Q. K., and CHU, F. L. Bolt loosening at rotating joint interface and its influence on rotor dynamics. Engineering Failure Analysis, 59, 456–466(2016)
[30] LIU, S. G., MA, Y. H., ZHANG, D. Y., and HONG, J. Studies on dynamic characteristics of the joint in the aero-engine rotor system. Mechanical Systems and Signal Processing, 29, 120–136(2012)
[31] HONG, J., CHEN, X. Q., WANG, Y. F., and MA, Y. H. Optimization of dynamics of noncontinuous rotor based on model of rotor stiffness. Mechanical Systems and Signal Processing, 131, 166–182(2019)
[32] YU, P. C., LI, L. X., CHEN, G., and YANG, M. H. Dynamic modelling and vibration characteristics analysis for the bolted joint with spigot in the rotor system. Applied Mathematical Modelling, 94, 306–331(2021)
[33] YU, P. C., WANG, C., LIU, Y. L., and CHEN, G. Analytical modeling of the lateral stiffness of a spline coupling considering teeth engagement and influence on rotor dynamics. European Journal of Mechanics-A/Solids, 92, 104468(2022)
[34] LI, Y. Q., LUO, Z., LIU, J. X., MA, H., and YANG, D. S. Dynamic modeling and stability analysis of a rotor-bearing system with bolted-disk joint. Mechanical Systems and Signal Processing, 158, 107778(2021)
[35] LI, Y. Q., LUO, Z., WANG, J. W., MA, H., and YANG, D. S. Numerical and experimental analysis of the effect of eccentric phase difference in a rotor-bearing system with bolted-disk joint. Nonlinear Dynamics, 105, 2105–2132(2021)
[36] DU, D. X., SUN, W., MA, H. W., YAN, X. F., and LIU, X. F. Vibration characteristics analysis for rotating bolted joined cylindrical shells considering the discontinuous variable-stiffness connection. Thin-Walled Structures, 177, 109422(2022)
[37] YANG, Y., OUYANG, H. J., ZENG, J., MA, H., YANG, Y. R., and CAO, D. Q. Investigation on dynamic characteristics of a rod fastening rotor-bearing coupling system with fixedpoint rubbing. Applied Mathematics and Mechanics (English Edition), 43(7), 1063–1080(2022) https://doi.org/10.1007/s10483-022-2819-7
[38] PRABITH, K. and KRISHNA, I. R. P. Response and stability analysis of a two-spool aero-engine rotor system undergoing multi-disk rub-impact. International Journal of Mechanical Sciences, 213, 106861(2022)
[39] WANG, N. F., LIU, C., JIANG, D. X., and BEHDINAN, K. Casing vibration response prediction of dual-rotor-blade-casing system with blade-casing rubbing. Mechanical Systems and Signal Processing, 118, 61–77(2019)
[40] YU, P. C., WANG, C., HOU, L., and CHEN, G. Dynamic characteristics of an aeroengine dualrotor system with inter-shaft rub-impact. Mechanical Systems and Signal Processing, 166, 108475(2022)
[41] HOU, L., CHEN, H. Z., CHEN, Y. S., LU, K., and LIU, Z. S. Bifurcation and stability analysis of a nonlinear rotor system subjected to constant excitation and rub-impact. Mechanical Systems and Signal Processing, 125, 65–78(2019)
[42] ZENG, J., MA, H., YU, K., GUO, X. M., and WEN, B. C. Rubbing response comparisons between single blade and flexible ring using different rubbing force models. International Journal of Mechanical Sciences, 164, 105164(2019)
[43] CHIPATO, E. T., SHAW, A. D., and FRISWELL, M. I. Nonlinear rotordynamics of a MDOF rotor-stator contact system subjected to frictional and gravitational effects. Mechanical Systems and Signal Processing, 159, 107776(2021)
[44] AGRAPART, Q., NYSSEN, F., LAVAZEC, D., DUFRENOY, P., and BATAILLY, A. Multiphysics numerical simulation of an experimentally predicted rubbing event in aircraft engines. Journal of Sound and Vibration, 460, 114869(2019)
[45] LIU, J. Z., FEI, Q. G., WU, S. Q., TANG, Z. H., and ZHANG, D. H. Nonlinear vibration response of a complex aeroengine under the rubbing fault. Nonlinear Dynamics, 106, 1869–1890(2021)
[46] JIN, Y. L., LIU, Z. W., YANG, Y., LI, F. S., and CHEN, Y. S. Nonlinear vibrations of a dualrotor-bearing-coupling misalignment system with blade-casing rubbing. Journal of Sound and Vibration, 497, 115948(2021)
[47] YANG, Y., OUYANG, H. J., YANG, Y. R., CAO, D. Q., and WANG, K. Vibration analysis of a dual-rotor-bearing-double casing system with pedestal looseness and multi-stage turbine bladecasing rub. Mechanical Systems and Signal Processing, 143, 106845(2020)
[48] WANG, M. L., HAN, Q. K., WEN, B. G., ZHANG, H., and GUAN, T. M. Modal characteristics and unbalance responses of fan rotor system with flexible support structures in aero-engine. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 231, 1686–1705(2017)
[49] LI, L., LUO, Z., HE, F. X., SUN, K., and YAN, X. L. An improved partial similitude method for dynamic characteristic of rotor systems based on Levenberg-Marquardt method. Mechanical Systems and Signal Processing, 165, 108405(2022)
[50] LI, L., LUO, Z., HE, F. X., SUN, K., and YAN, X. L. Experimental and numerical investigations on an unbalance identification method for full-size rotor system based on scaled model. Journal of Sound and Vibration, 527, 116868(2022)

Dynamic stiffness characteristics of aero-engine elastic support structure and its effects on rotor systems: mechanism and numerical and experimental studies

Dynamic stiffness characteristics of aero-engine elastic support structure and its effects on rotor systems: mechanism and numerical and experimental studies

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 12

编辑推荐

Metrics

本文评价

[1]	Yang YANG, H. J. OUYANG, Jin ZENG, Hui MA, Yiren YANG, Dengqing CAO. Investigation on dynamic characteristics of a rod fastening rotor-bearing coupling system with fixed-point rubbing[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(7): 1063-1080.
[2]	Ye TANG, Jiye XU, Tianzhi YANG. Natural dynamic characteristics of a circular cylindrical Timoshenko tube made of three-directional functionally graded material[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(4): 479-496.
[3]	Hu DING, Minhui ZHU, Liqun CHEN. Dynamic stiffness method for free vibration of an axially moving beam with generalized boundary conditions[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(7): 911-924.
[4]	Xingzhe WANG, Longfei LI, Youhe ZHOU. Aeroelastic dynamics stability of rotating sandwich annular plate with viscoelastic core layer[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(1): 107-120.
[5]	Lei HOU, Yushu CHEN. Bifurcation analysis of aero-engine's rotor system under constant maneuver load[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(11): 1417-1426.
[6]	K. DANESHJOU M. TALEBITOOTI R. TALEBITOOTI. Free vibration and critical speed of moderately thick rotating laminated composite conical shell using generalized differential quadrature method[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(4): 437-456.
[7]	李军陈予恕. Combined resonance of low pressure cylinder-generator rotor system with bending-torsion coupling[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(8): 957-972.
[8]	张文普韩波张成义. Spacecraft aerodynamics and trajectory simulation during aerobraking[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(09): 1063-1072.
[9]	陈炎;黄小清;马友发. COUPLING VIBRATION OF VEHICLE-BRIDGE SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(4): 390-395.
[10]	方之楚. STUDY ON CATASTROPHIC MECHANISM FOR ROTOR DROP TRANSIENT VIBRATION FOLLOWING MAGNETIC BEARING FAILURE[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(11): 1319-1325.
[11]	郑惠萍;陈予恕. A NUMERICAL METHOD ON ESTIMATION OF STABLE REGIONS OF ROTOR SYSTEMS SUPPORTED ON LUBRICATED BEARINGS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(10): 1115-1121.
[12]	赵玉成;袁树清;肖忠会;许庆余. THE FRACTIONAL DIMENSION IDENTIFICATION METHOD OF CRITICAL BIFURCATED PARAMETERS OF BEARING-ROTOR SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(2): 141-146.