Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Distributed parameters modeling for the dynamic stiffness of a spring tube in servo valves

  • Lv, Xinbei (Department of Fluid Control and Automation, Harbin Institute of Technology) ;
  • Saha, Bijan Krishna (Department of Fluid Control and Automation, Harbin Institute of Technology) ;
  • Wu, You (Department of Fluid Control and Automation, Harbin Institute of Technology) ;
  • Li, Songjing (Department of Fluid Control and Automation, Harbin Institute of Technology)
  • Received : 2019.10.21
  • Accepted : 2020.02.20
  • Published : 2020.08.10
⟨ Previous Next ⟩

Abstract

The stability and dynamic performance of a flapper-nozzle servo valve depend on several factors, such as the motion of the armature component and the deformation of the spring tube. As the only connection between the armature component and the fixed end, the spring tube plays a decisive role in the dynamic response of the entire system. Aiming at predicting the vibration characteristics of the servo valves to combine them with the control algorithm, an innovative dynamic stiffness based on a distributed parameter model (DPM) is proposed that can reflect the dynamic deformation of the spring tube and a suitable discrete method is applied according to the working condition of the spring tube. With the motion equation derived by DPM, which includes the impact of inertia, damping, and stiffness force, the mathematical model of the spring tube dynamic stiffness is established. Subsequently, a suitable program for this model is confirmed that guarantees the simulation accuracy while controlling the time consumption. Ultimately, the transient response of the spring tube is also evaluated by a finite element method (FEM). The agreement between the simulation results of the two methods shows that dynamic stiffness based on DPM is suitable for predicting the transient response of the spring tube.

Keywords

References

  1. Andrianov, I. V., Awrejcewicz, J. and Manevitch, L. I. (2013), Asymptotical Mechanics of Thin-Walled Structures, Springer Science and Business Media, Berlin, Germany.
  2. Akbarov, S.D. and Mehdiyev, M.A. (2019), "3D Dynamics of the Oscillating-Moving Load Acting in the Interior of the Hollow Cylinder Surrounded with Elastic Medium", Struct. Eng. Mech., 71(6), 713-738. https://doi.org/10.12989/sem.2019.71.6.713.
  3. Amirante, R. Distaso, E. and Tamburrano, P. (2014), "Experimental and numerical analysis of cavitation in hydraulic proportional directional valves", Energy Conversion Manag., 87, 208-219. https://doi.org/10.1016/j.enconman.2014.07.031.
  4. Aung, N.Z. and Li, S. (2013a), "A numerical study of cavitation phenomenon in a flapper-nozzle pilot stage of an electrohydraulic servo-valve with an innovative flapper shape", Energy Conversion Manag, 77, 31-39. https://doi.org/10.1016/j.enconman.2013.09.009.
  5. Aung, N.Z.,Yang, Q., Chen, M. and Li, S. (2014), "CFD analysis of flow forces and energy loss characteristics in a flapper-nozzle pilot valve with different null clearances", Energy Conversion Manag, 83, 284-295. https://doi.org/10.1016/j.enconman.2014.03.076.
  6. Aung, N.Z. (2015), "A study of flow-induced phenomena in a flapper-nozzle pilot valve by using different innovative flapper shapes", Ph.D. Dissertation, Harbin institute of technology, Harbin, China.
  7. Babaei, P.D. and Antonios, A. (2015a), "Design of APOD-based switching dynamic observers and output feedback control for a class of nonlinear distributed parameter systems", Chem. Eng. Sci., 136, 62-75. https://doi.org/10.1016/j.ces.2015.02.032.
  8. Chen, D. and Yang, J. (2016), "Sritawat Kitipornchai. Free and forced vibrations of shear deformable functionally graded porous beams", J. Mech. Sci., 108-109, 14-22. http://dx.doi.org/10.1016/j.ijmecsci.2016.01.025.
  9. Clough, R. and Penzien, J. (1975), "Dynamics of structures", McGraw-Hill Inc, New York, NY, USA.
  10. Karunanidhi, S. and Singaperumal, M. (2010), "Mathematical modelling and experimental characterization of a high dynamic servo valve integrated with piezoelectric actuator", Syst. Control Eng., 224(4), 419-435. https://doi.org/10.1243/09596518jsce899.
  11. Li, Y. (2016), "Mathematical modelling and characteristics of the pilot valve appliedto a jet-pipe/deflector-jet servovalve", Sensors Actuators A Phys., 245, 150-159. https://doi.org/10.1016/j.sna.2016.04.048.
  12. Li, S., Aung, N.Z., Zhang, S., Cao, J. and Xue, X. (2013b), "Experimental and numerical investigation of cavitation phenomenon in flapper-nozzle pilot stage of an electrohydraulic servo-valve", Comput. Fluids, 88, 590-598. https://doi.org/10.1016/j.compfluid.2013.10.016.
  13. Liu, C. and Jiang, H. (2014), "A seventh-order model for dynamic response of an electro-hydraulic servo valve", Chinese J. Aeronautics, 27(6), 1605-1611. https://doi.org/10.1016/j.cja.2014.10.029.
  14. Liu, S., Liu, K. and Li, Y. (2012a), "A new sliding mode control of manipulator handling a flexible playload based on distributed parameter system", The 31th Chinese Control Conference, Hefei, China, July.
  15. Liu, S., Wang, Z., Qiao, Y., Xie, M. and Li, Y. (2012b), "An energy-based position control and asymptotic stability analysis for manipulator handling a flexible payload", Proceedings of 10th World Congress on Intelligent Control and Automation, Beijing, China, June. https://doi.org/10.1109/wcica.2012.6359074.
  16. Mchenya, J.M., Zhang, S.Z. and Li, S.J. (2012), "Visualization of flow-field between the flapper and nozzle in a hydraulic servo-valve", Adv. Metallurgical Mining Eng., 402, 407-411. https://doi.org/10.4028/www.scientific.net/amr.402.407.
  17. Mesropyan, A.V. and Sharipov, R.R. (2016), "Mathematical Modeling of Transient Processes in the Jet Pipe Servoactuator with a Dual-Mode Controller", Procedia Eng., 150, 168-172. https://doi.org/10.1016/j.proeng.2016.06.742.
  18. Mohammadnejad, M. and Kazemi, H.H. (2018), "A new and simple analytical approach to determining the natural frequencies of framed tube structures", Struct. Eng. Mech., 65(1), 111-120. https://doi.org/10.12989/sem.2018.65.1.111.
  19. Mu, D. and Li, C. (2011), "A new mathematical model of twin flapper-nozzle servo valve based on input-output linearization approach", Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC), Beijing, China, August. https://doi.org/10.1109/AIMSEC.2011.6009893.
  20. Omidi, E.S. and Mahmoodi, N. (2016), "Vibration suppression of distributed parameter flexible structures by Integral Consensus Control", J. Sound Vib., 364, 1-13. https://doi.org/10.1016/j.jsv.2015.11.020.
  21. Peng, J., Li, S. and Han, H. (2014), "Damping properties for vibration suppression in electrohydraulic servo-valve torque motor using magnetic fluid", Appl. Phys. Lett., 104(17), 171905. https://doi.org/10.1063/1.4875029.
  22. Peng, J. (2015), "Study on self-excited vibration characteristics of armature assembly in a hydraulic servo valve", Ph.D. Dissertation, Harbin institute of technology, Harbin.
  23. Qiu, T., Song, X., Lei, Y., Liu, X., An, X. and Lai, M. (2016), "Influence of inlet pressure on cavitation flow in diesel nozzle", Appl. Thermal Eng., 109, 364-372. https://doi.org/10.1016/j.applthermaleng.2016.08.046.
  24. Lu, R., Liu, X., Chen, S., Xu, Z., Hu, X. and Liu, L. (2018), "Theoretical investigation on the crushing performances of Tailor Rolled Tubes with continuously varying thickness and material properties", J. Mech. Sci., 151, 106-117. https://doi.org/10.1016/j.ijmecsci.2018.09.012.
  25. Somashekhar, S.H., Singaperumal, M. and Kumar, R.K. (2007), "Mathematical modelling and simulation of a jet pipe electrohydraulic flow control servo valve", Syst. Control Eng., 221(3), 365-382. https://doi.org/10.1243/09596518jsce238.
  26. Tlidji, Y., Zidour, M., Draiche, K. and Safa, A. (2019), "Vibration analysis of different material distributions of functionally graded microbeam", Struct. Eng. Mech., 69(6), 637-649. https://doi.org/10.12989/sem.2019.69.6.637.
  27. Valdes, J.R., Miana, M.J., Nunez, J.L. and Putz, T. (2008), "Reduced order model for estimation of fluid flow and flow forces in hydraulic proportional valves", Energy Conversion Manag., 49(6), 1517-1529. https://doi.org/10.1016/j.enconman.2007.12.010.
  28. Whalley, R. and Abdul-Ameer, A. (2015), "Gas pipeline modelling and control", Proceedings of The Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science, 229(18), 3320-3340. https://doi.org/10.1177/0954406215570698.
  29. Zhang, S., Aung, N.Z. and Li, S. (2015a), "Reduction of undesired lateral forces acting on the flapper of a flapper-nozzle pilot valve by using an innovative flapper shape", Energy Conversion Manag., 106, 835-848. https://doi.org/10.1016/j.enconman.2015.10.012.
  30. Zhang, S. and Li, S. (2015b), "Cavity shedding dynamics in a flapper-nozzle pilot stage of an electro-hydraulic servo-valve: Experiments and numerical study", Energy Conversion Manag., 100, 370-379. https://doi.org/10.1016/j.enconman.2015.04.047.
  31. Zhao, J., Choe, K., Zhang, Y., Wang, A., Lin, C. and Wang, Q. (2019), "A closed form solution for free vibration of orthotropic circular cylindrical shells with general boundary conditions." Compos. Part B Eng., 159, 447-460 https://doi.org/10.1016/j.compositesb.2018.09.106.
  32. Zhu, Y., Yang, X. and Fu, T. (2016), "Dynamic modeling and experimental investigations of a magnetostrictive nozzle-flapper servovalve pilot stage", Proceedings of the Institution of Mechanical Engineers, Part I: J. Syst. Control Eng., 230(3), 244-254. https://doi.org/10.1177/0959651815621668.