[ Log In | Register]
! Skip Navigation Links
Skip Navigation Links
Image of Vibration Testing and System Dynamics
ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Statics Analysis and Strength Optimization of Squirrel Cage Elastic Support Structure

Journal of Vibration Testing and System Dynamics 7(2) (2023) 141--152 | DOI:10.5890/JVTSD.2023.06.003

Jia-xi Liu$^{1}$, Zhong Luo$^{1, 2, 3}$, Lei Li$^{1}$, Kai-ning Liu$^{1}$

$^{1}$ School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, PR China

$^{2}$ Foshan Graduate School of Northeastern University, Foshan 528312, PR China

$^{3}$ Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education, Northeastern University, Shenyang 110819, PR China

Download Full Text PDF

 

Abstract

The critical speed of aeroengine can be adjusted by designing the support stiffness of elastic support structure. Squirrel cage elastic support structure is a common elastic support structure, so it is very important to optimize its design steps and calculate its stiffness accurately. The static characteristics of the squirrel cage elastic support structure such as stiffness and strength characteristics are analyzed, and the stiffness value, deformation and stress clouds of the structure are obtained, which are based on the finite element method. Then, the static stiffness test platform of the squirrel cage elastic support structure is built to verify the validity of the experiment from the perspective of simulation. Experimental verification shows that the experimental test values have good agreement with the simulation values, which proves the correctness of the simulation results. Finally, in order to achieve the maximum strength of the structure under the condition of specified installation space and specified stiffness value. The genetic algorithm is used to optimize the structure. The rule of the optimization result is summarized, which is verified by the theoretical analysis and simulation.

References

  1. [1]  Liu, J.Z., Fei, Q.G., Wu, S.Q., Tang, Z.H., and Zhang, D.H. (2021), Nonlinear vibration response of a complex aeroengine under the rubbing fault, Nonlinear Dynamics, 106, 1869-1890.
  2. [2]  Bai, C.Q., Xu, Q.Y., and Wang, J.Y. (2011), Effects of flexible support stiffness on the nonlinear dynamic characteristics and stability of a turbopump rotor system, Nonlinear Dynamics, 64, 237-252.
  3. [3]  Li, L., Luo, Z., He, F.X., Sun, K., and Yan, X.L. (2022), An improved partial similitude method for dynamic characteristic of rotor systems based on Levenberg-Marquardt method, Mechanical Systems and Signal Processing, 165, 108405.
  4. [4]  Qin, Z.Y., Yang, Z.B., Zu, J., and Chu, F.L. (2018), Free vibration analysis of rotating cylindrical shells coupled with moderately thick annular plates, International Journal of Mechanical Sciences, 142-143, 127-139.
  5. [5]  Zhang, W., Han, B.B., Li, X., Sun, J.Q., and Ding, Q. (2019), 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.
  6. [6]  Mao, Y., Wang, L., and Zhang, C. (2016), Study on the load distribution and dynamic characteristics of a thin-walled integrated squirrel-cage supporting roller bearing, Applied Sciences, 6(12), 415-426.
  7. [7]  Shu, J., Wang, L., Mao, Y., and Ding, Y.T. (2015), Iterative FEA method for load distribution of flexible supporting thin-section ball bearing, Journal of Harbin Institute of Technology, 22, 9-14.
  8. [8]  Wang, D., Zhang, W.H., Wang, Z.P., and Zhu, J.H. (2010), Shape optimization of 3D curved slots and its application to the squirrel-cage elastic support design, Science China-Physics Mechanics \& Astronomy, 53(10), 1895-1900.
  9. [9]  Li, L., Luo, Z., He, F.X., Sun, K., and Yan, X.L. (2022), 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.
  10. [10]  Wang, M.L., Han, Q.K., Wen, B.G., Zhang, H., and Guan, T.M. (2017), 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.
  11. [11]  Han, Q.K., Chen, Y.G., Zhang, H., Jiang, L.L., and Li, X.J. (2016), Vibrations of rigid rotor systems with misalignment on squirrel cage supports, Journal of Vibroengineering, 18, 4329?4339.
  12. [12]  Mirzaeifar, R., Bahai, H., Aryana, F., and Yeilaghi, A. (2007), Optimization of the dynamic characteristics of composite plates using an inverse approach, Journal of Composite Materials, 41, 3091-3108.
  13. [13]  Qin, Z.Y., Zhao, S.N., Pang, X.J., Safaei, B., and Chu, F.L. (2020), A unified solution for vibration analysis of laminated functionally graded shallow shells reinforced by graphene with general boundary conditions, International Journal of Mechanical Sciences, 170, 105341.
  14. [14]  Lostado, R., Martinez, R.F., Donald, M. and Bryan, J. (2015), Determination of the contact stresses in double-row tapered roller bearings using the finite element method, experimental analysis and analytical models, Journal of Mechanical Science and Technology, 29, 4645-4656.
  15. [15]  Wang, H.P., Dong, L.H., Dong, S.Y., and Xu, B.S. (2014), Fatigue damage evaluation by metal magnetic memory testing, Journal of Central South University, 21, 65-70.
  16. [16]  Luo, Z., Li, L., Yang, Y., Hou, X.J., Liu, J.X., and Ding, Z. (2021), 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.
  17. [17]  Li, L., Luo, Z., He, F.X., Ding, Z., and Sun, K. (2021), A partial similitude method for vibration responses of rotor systems: Numerical and experimental verification, International Journal of Mechanical Sciences, 208, 106696.
  18. [18]  Wang, Z.L., Zhang, G.H., Wen, J.Q., and Liu, Z.S. (2017), Numerical modeling of the flow in the squeeze film dampers with oil feed groove by computational fluid dynamic analysis, Proceedings of the Institution of Mechanical Engineers Part J-Journal of Engineering Tribology, 231, 693-707.
  19. [19]  Liu, S. and Qu, L. (2008), A new field balancing method of rotor systems based on holospectrum and genetic algorithm, Applied Soft Computing, 8(1), 446-455. %
  20. [20]  Liu, J.Z., Fei, Q.G., Wu, S.Q., Tang, Z.H., and Zhang, D.H. (2021), Nonlinear vibration response of a complex aeroengine under the rubbing fault, Nonlinear Dynamics, 106, 1869-1890. % %
  21. [21]  Bai, C.Q., Xu, Q.Y., and Wang, J.Y. (2011), Effects of flexible support stiffness on the nonlinear dynamic characteristics and stability of a turbopump rotor system, Nonlinear Dynamics, 64, 237-252. % %
  22. [22]  Li, L., Luo, Z., He, F.X., Sun, K., and Yan, X.L. (2022), An improved partial similitude method for dynamic characteristic of rotor systems based on Levenberg-Marquardt method, Mechanical Systems and Signal Processing, 165, 108405. % %
  23. [23]  Qin, Z.Y., Yang, Z.B., Zu, J., and Chu, F.L. (2018), Free vibration analysis of rotating cylindrical shells coupled with moderately thick annular plates, International Journal of Mechanical Sciences, 142-143, 127-139. % %
  24. [24]  Zhang, W., Han, B.B., Li, X., Sun, J.Q., and Ding, Q. (2019), 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. % %
  25. [25]  Mao, Y., Wang, L., and Zhang, C. (2016), Study on the load distribution and dynamic characteristics of a thin-walled integrated squirrel-cage supporting roller bearing, Applied Sciences, 6(12), 415-426. % %
  26. [26]  Shu, J., Wang, L., Mao, Y., and Ding, Y.T. (2015), Iterative FEA method for load distribution of flexible supporting thin-section ball bearing, Journal of Harbin Institute of Technology, 22, 9-14. % %
  27. [27]  Wang, D., Zhang, W.H., Wang, Z.P., and Zhu, J.H. (2010), Shape optimization of 3D curved slots and its application to the squirrel-cage elastic support design, Science China-Physics Mechanics \& Astronomy, 53(10), 1895-1900. % %
  28. [28]  Li, L., Luo, Z., He, F.X., Sun, K., and Yan, X.L. (2022), 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. % %
  29. [29]  Wang, M.L., Han, Q.K., Wen, B.G., Zhang, H., and Guan, T.M. (2017), 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. % %
  30. [30]  Han, Q.K., Chen, Y.G., Zhang, H., Jiang, L.L., and Li, X.J. (2016), Vibrations of rigid rotor systems with misalignment on squirrel cage supports, Journal of Vibroengineering, 18, 4329?4339. % %
  31. [31]  Mirzaeifar, R., Bahai, H., Aryana, F., and Yeilaghi, A. (2007), Optimization of the dynamic characteristics of composite plates using an inverse approach, Journal of Composite Materials, 41, 3091-3108. % %
  32. [32]  Qin, Z.Y., Zhao, S.N., Pang, X.J., Safaei, B., and Chu, F.L. (2020), A unified solution for vibration analysis of laminated functionally graded shallow shells reinforced by graphene with general boundary conditions, International Journal of Mechanical Sciences, 170, 105341. % %
  33. [33]  Lostado, R., Martinez, R.F., Donald, M. and Bryan, J. (2015), Determination of the contact stresses in double-row tapered roller bearings using the finite element method, experimental analysis and analytical models, Journal of Mechanical Science and Technology, 29, 4645-4656. % %
  34. [34]  Wang, H.P., Dong, L.H., Dong, S.Y., and Xu, B.S. (2014), Fatigue damage evaluation by metal magnetic memory testing, Journal of Central South University, 21, 65-70. % %
  35. [35]  Luo, Z., Li, L., Yang, Y., Hou, X.J., Liu, J.X., and Ding, Z. (2021), 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. % %
  36. [36]  Li, L., Luo, Z., He, F.X., Zhao, X.Y., and Liu, J.R. (2020), A partial similitude method considering variable powers in scaling laws and applied to rotor-bearing systems, International Journal of Mechanical Sciences, 186, 105892. % %
  37. [37]  Li, L., Luo, Z., He, F.X., Ding, Z., and Sun, K. (2021), A partial similitude method for vibration responses of rotor systems: Numerical and experimental verification, International Journal of Mechanical Sciences, 208, 106696. % %
  38. [38]  Wang, Z.L., Zhang, G.H., Wen, J.Q., and Liu, Z.S. (2017), Numerical modeling of the flow in the squeeze film dampers with oil feed groove by computational fluid dynamic analysis, Proceedings of the Institution of Mechanical Engineers Part J-Journal of Engineering Tribology, 231, 693-707. % %
  39. [39]  Liu, S. and Qu, L. (2008), A new field balancing method of rotor systems based on holospectrum and genetic algorithm, Applied Soft Computing, 8(1), 446-455. % %
  40. [40]  Taplak, H., Erkaya, S., and Uzmay, I. (2012), Passive balancing of a rotating mechanical system using genetic algorithm, Scientia Iranica, 19(6), 1502-1510.

Copyright © 2011-2023 L & H Scientific Publishing. All rights reserved. Wildcard SSL Certificates