Semi-active control of ambulance stretcher system based on parallel mechanism with MR dampers and perturbation analysis


The recumbent patients on ambulance stretcher experience multi-dimensional excitations due to road roughness. In order to isolate the multi-dimensional vibrations validly, a novel ambulance stretcher system based on 4-PUU parallel mechanism with Magneto-Rheological dampers is proposed. Firstly, the kinematic and dynamic equation are deduced by geometric relation and Lagrange equation respectively. Subsequently, the vibration isolation performance is investigated in time and frequency domain. The robustness of LQR algorithm is addressed with parameters perturbation by deducing Lyapunov equation. Further, selecting RMS values as the index of vibration isolation performance, the index which includes geometric parameters perturbation, mass and spring uncertainties is discussed. Simulations demonstrate the stretcher system can effectively isolate multi-dimensional vibrations in sensitive frequency range for supine patients with perturbation and uncertainties. The RMS values show different characteristics because of altering Jacobin matrix of the stretcher.

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  1. Ahmadian, M., Pare, C.A.: A quarter-car experimental analysis of alternative semi-active methods. J. Intel. Mater. Syst. Struct. 11(8), 604–612 (2000)

    Article  Google Scholar 

  2. Alefeld, G., Mayer, G.: Interval analysis: theory and applications. J. Compt. Appl. Math. 121(1–2), 421–464 (2000)

    MathSciNet  Article  Google Scholar 

  3. Ali, A.M.: Ambulance stretcher with active control isolator system. J. Low. Freq. Noise. V. A. 20(4), 217–227 (2001)

    Article  Google Scholar 

  4. Chae, H.D., Choi, S.B.: A new vibration isolation bed stage with magneto-rheological dampers for ambulance vehicles. Smart Mater. Struct. 24(1), 1–14 (2015)

    Article  Google Scholar 

  5. Chen, J.P., Chen, W.W., Zhu, H.: Modeling and simulation on stochastic road surface irregularity based on Matlab/Simulink. Trans. Chin. Soc. Agric. Mach. 41(3), 11–15 (2010)

    MathSciNet  Google Scholar 

  6. Choi, S.B., Lee, H.S., Park, Y.P.: H∞ control performance of a full-vehicle suspension featuring magneto-rheological dampers. Veh. Syst. Dyn. 38(5), 341–360 (2002)

    Article  Google Scholar 

  7. Chu, J., Hu, X.H., Wang, S.S.: On the robustness of optimal regulator LQR systems. Control Decis. 7(6), 478–480 (1992)

    Google Scholar 

  8. Chung, T.N., Kim, S.W., Cho, Y.S.: Effect of vehicle speed on the quality of closed-chest compression during ambulance transport. Resuscitation 81(7), 841–847 (2010)

    Article  Google Scholar 

  9. Gao, F., Li, W., Zhao, X.: New kinematic structures for 2-, 3-, 4-, and 5-DOF parallel manipulator designs. Mech. Mach. Theory 37(11), 1395–1411 (2002)

    Article  Google Scholar 

  10. Geng, Z.J., Haynes, L.S.: Six degree-of-freedom active vibration control using Stewart platforms. IEEE Trans. Control. Syst. Technol. 2(1), 45–53 (1994)

    Article  Google Scholar 

  11. Hanieh, A.: Active isolation and damping of vibrations via Stewart platform. Ph.D. Dissertation, University Libre de Bruxelles. Brussels, Belgium (2003)

  12. Karnopp, D.C.: Design principles for vibration control systems using semi-active dampers. J. Dyn. Syst-T. ASME 112(3), 448–455 (1990)

    Article  Google Scholar 

  13. Niu, J.C., Yang, F., Li, Y.: Multi-dimensional vibration isolation based on metamorphic parallel mechanism. J. Vib. Shock 33(7), 206–209 (2014)

    Google Scholar 

  14. Paddan, G.S., Griffin, M.J.: Evaluation of whole-body vibration in vehicles. J. Sound Vib. 253(1), 195–213 (2002)

    Article  Google Scholar 

  15. Pei, C.Y.: Interval finite element method for robustness analysis of the second-order uncertain vibration control systems. Ph.D. Dissertation, Jilin University, Changchun, P. R. China (2007)

  16. Qi, X.Y., Zhao, T.S.: Kinematic analysis of a new 4-PUU parallel mechanism. J. Yanshan Univ. 31(5), 387–390 (2007)

    Google Scholar 

  17. Qiu, Z.P.: Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis. Comput. Methods Appl. Mech. Eng. 152(3–4), 361–372 (1998)

    Article  Google Scholar 

  18. Raine, J.K., Henderson, R.J.: A two-degree-of-freedom ambulance stretcher suspension part 2: simulation of system performance with capillary and orifice pneumatic damping. Proc. Inst. Mech. Eng. D-J. Automob. 212(D3), 227–240 (1998)

    Google Scholar 

  19. Shintani, M., Hirai, Y., Ogawa, Y.: Study on two dimensional base-isolating device for sick person’s bed in ambulance. In: Proceedings of SICE Annual Conference, pp. 225–231 (2012)

  20. Sun, L.L., Song, K.J.: Optimal control of active ambulance stretcher suspension. Mater. Sci. Forum 471, 312–316 (2004)

    Article  Google Scholar 

  21. Takahiko, O., Hikaru, I.: Actively-controlled beds for ambulances. Int. J. Autom. Comput. 6(1), 1–6 (2009)

    Article  Google Scholar 

  22. Phu, D.X., Huy, T.D., Mien, V., Choi, S.B.: A new composite adaptive controller featuring the neural network and prescribed sliding surface with application to vibration control. Mech. Syst. Signal. Process. 107(2018), 409–428 (2018)

    Article  Google Scholar 

  23. Wu, W.D., Rao, S.S.: Uncertainty analysis and allocation of joint tolerances in robot manipulators based on interval analysis. Reliab. Eng. Syst. Safe 92(1), 54–64 (2007)

    Article  Google Scholar 

  24. Xia, B.Z., Yu, D.J.: Modified interval and subinterval perturbation methods for the static response of structure with interval parameters. ASCE J. Struct. Eng. 140(5), 04013113 (2014)

    Article  Google Scholar 

  25. Yu, S.J.: Design of a 4-DOF multi-dimensional vibration isolation platform. Thesis for Master Degree, Beijing Jiaotong University, Beijing, P. R. China (2018)

  26. Zhao, W., Li, B., Liu, P.: Semi-active control for a multi-dimensional vibration isolator with parallel mechanism. J. Vib. Control 19(6), 879–888 (2013)

    MathSciNet  Article  Google Scholar 

  27. Zhou, Z., Meng, S.P., Wu, J.: Semi-active control on long span reticulated steel structures using MR dampers under multi-dimensional earthquake excitations. Smart Struct. Syst. 10(6), 557–572 (2012)

    Article  Google Scholar 

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This work was supported by the National Natural Science Foundation of China (51675306, 51275275), and Foundation of State Key Laboratory of Automotive Simulation and Control (20161112).

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Correspondence to Junchuan Niu.

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Gao, X., Niu, J., Liu, Z. et al. Semi-active control of ambulance stretcher system based on parallel mechanism with MR dampers and perturbation analysis. Int J Mech Mater Des 15, 817–831 (2019).

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  • Ambulance stretcher
  • Parallel mechanism
  • Perturbation analysis
  • Robustness
  • Semi-active control
  • Vibration isolation