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Vibration characteristics of multi-dimensional isolator based on 4-PUU parallel mechanism with joint clearance

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Abstract

For isolating multi-dimensional vibration experienced by vehicle-mounted precise facility, a multi-dimensional vibration isolator based on parallel mechanism with joint clearance is designed and analyzed. The main thrust of this work is establishing kinematic and dynamic equations of the isolator and exploring vibration isolation capability with joint clearance. Firstly, type synthesis of the parallel mechanism with three translations and one rotation is performed. The kinematic and dynamic equations of the isolator with joint clearance are deduced. Subsequently, vibration isolation performance is simulated with different values of joint clearance under harmonic and stochastic excitations in time and frequency domain, respectively. The simulating results demonstrate the proposed isolator with joint clearance inhibit multi-dimensional vibration effectively. The first-order resonance peak is sensitive to the increment in joint clearance. Finally, the proposed multi-dimensional vibration isolator is fabricated. The vibration isolation experiment is conducted. Through experimental results, the isolator reduces multi-dimensional vibration effectively in time and frequency domain. The vibration isolation capability degenerates as the counterweight of moving platform increases.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  1. Ramesh, R.S., Fredette, L., Singh, R.: Identification of multi-dimensional elastic and dissipative properties of elastomeric vibration isolators. Mech. Syst. Signal Pr. 118, 696–715 (2019)

    Article  Google Scholar 

  2. Jiang, Y.L., Duan, R.R., Liu, P.: Fuzzy control of floating raft active vibration isolation system under narrowband interference. Int. J. Acoust. Vib. 25(4), 556–565 (2020)

    Article  Google Scholar 

  3. Shi, W.F., Liu, K., Zhao, W.P.: Active vibration isolation of a maglev inertially stabilized platform based on improved linear extended state observer. IEEE Access 9, 743–751 (2021)

    Article  Google Scholar 

  4. Zhang, Y., Guo, X.D., Yu, S.J.: Study on a four degrees-of-freedom multi-dimensional vibration isolation platform based on a 4-upu parallel mechanism. T. Can. Soc. Mech. Eng. 45(4), 501–512 (2021)

    Article  Google Scholar 

  5. Bi, F.R., Ma, T., Wang, X., Yang, X., Lv, Z.P.: Research on vibration control of seating system platform based on the cubic Stewart parallel mechanism. IEEE Access 7, 155637–155649 (2019)

    Article  Google Scholar 

  6. Gao, X., Niu, J.C., Jia, R.H.: Grey relation analysis of natural frequency and semi-active robust optimal control of a multi-dimensional isolator based on parallel mechanism and magneto-rheological damper. P. I. Mech. Eng. C-J Mech. 236(10), 5181–5191 (2022)

    Article  Google Scholar 

  7. Gu, H.Y., Wei, C., Zhang, Z.M., Zhao, Y.: Theoretical and experimental study on active stiffness control of a two-degrees-of-freedom rope driven parallel mechanism. J. Mech. Robot. 13(1), 011018 (2021)

    Article  Google Scholar 

  8. Yang, X.L., Wu, H.T., Chen, B., Kang, S.Z., Cheng, S.L.: Dynamic modeling and decoupled control of a flexible Stewart platform for vibration isolation. J. Sound Vib. 439, 398–412 (2019)

    Article  Google Scholar 

  9. Gao, X., Niu, J.C., Liu, Z.H., Tian, J.X.: Semi-active control of ambulance stretcher system based on parallel mechanism with MR damper and perturbation analysis. Int. J. Mech. Mater. Des. 15(4), 817–831 (2019)

    Article  Google Scholar 

  10. Tang, J., Cao, D.Q., Yu, T.H.: Decentralized vibration control of a voice coil motor-based Stewart parallel mechanism: simulation and experiments. P. I. Mech. Eng. C-J Mech. 233(1), 132–145 (2019)

    Article  Google Scholar 

  11. Wu, Z.J., Jing, X.J., Sun, B., Li, F.M.: A 6DOF passive vibration isolator using X-shape supporting structures. J. Sound Vib. 380, 90–111 (2016)

    Article  Google Scholar 

  12. Zhang, B., Huang, H., Cai, J.M., Jiang, Z.L., Zhu, F.Z., Tang, S.D., Qian, P.F.: Multi-dimensional isolation performances of a redundant 6DOF parallel vibration isolation platform. J. Vib. Shock 41(2), 26–32 (2022)

    Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  14. Niu, J.C., Yang, F., Li, Y.: Multi-dimensional vibration isolation based on metamorphic parallel mechanism. J. Vibr. Shock 33, 206–209+226

  15. Li, B., Zhao, W., Wang, S., Huang, H.L.: Dynamic modeling and control for a five-dimensional hybrid vibration isolator based on a position/orientation decoupled parallel mechanism. J. Vib. Control 22, 3368–3383 (2016)

    Article  MathSciNet  Google Scholar 

  16. Flores, P., Koshy, C.S., Lankarani, H.M., Ambrosio, J., Claro, J.C.P.: Numerical and experimental investigation on multi-body systems with revolute clearance joints. Nonlinear Dyn. 65, 383–398 (2011)

    Article  Google Scholar 

  17. Flores, P., Lankarani, H.M.: Dynamic response of multibody systems with multiple clearance joints. J. Comput. Nonlinear Dyn. 7(3), 031003 (2012)

    Article  Google Scholar 

  18. Zhang, H.D., Zhang, X.M., Zhang, Z.H., Yang, L.X.: Dynamic modeling and comparative analysis of a 3-PRR parallel robot with multiple lubricated joints. Int. J. Mech. Mater. Des. 16(3), 541–555 (2020)

    Article  Google Scholar 

  19. Wang, J., Dong, H., Wang, Z.D., Liu, J.C., Cao, Y.: Elastic dynamic modeling and analysis for a 3-CPaRR decoupled parallel mechanism with joint clearance. J. Vib. Shock 39(5), 118–130 (2020)

    Google Scholar 

  20. Chen, X.L., Guo, J.Y.: Effects of spherical clearance joint on dynamics of redundant driving spatial parallel mechanism. Robotica 39(6), 1064–1080 (2021)

    Article  Google Scholar 

  21. Hou, Y.L., Deng, Y.J., Zeng, D.X.: Dynamic modelling and properties analysis of 3RSR parallel mechanism considering spherical joint clearance and wear. J. Cent. South Univ. (Sci. Technol.) 28(3), 712–727 (2021)

    Article  Google Scholar 

  22. Wang, G.X., Wang, L.: Dynamics investigation of spatial parallel mechanism considering rod flexibility and spherical joint clearance. Mech. Mach. Theory 137, 83–107 (2019)

    Article  Google Scholar 

  23. Cao, Y., Zhou, H., Qin, Y.L., Liu, K., Ji, W.X., Zhang, H.: Type synthesis and type analysis of 3T2R hybrid mechanisms via GF set. Int. J. Robot. Autom. 32(4), 342–350 (2017)

    Google Scholar 

  24. Zhang, J.Z., Jin, Z.L., Feng, H.B.: Type synthesis of a 3-mixed-DOF protectable leg mechanism of a firefighting multi-legged robot based on GF set theory. Mech. Mach. Theory 130, 567–584 (2018)

    Article  Google Scholar 

  25. Xi, D., Gao, F.: Criteria of type complexity for legged robots. Mech. Mach. Theory 144, 103661 (2018)

    Article  Google Scholar 

  26. He, J., Gao, F.: Type synthesis for bionic quadruped walking robots. J. Bionic Eng. 12(4), 527–538 (2015)

    Article  Google Scholar 

  27. Qu, H.B., Zhang, C.L., Guo, S.: Structural synthesis of a class of kinematically redundant parallel manipulators based on modified G-K criterion and RDOF criterion. Mech. Mach. Theory 130, 47–70 (2018)

    Article  Google Scholar 

  28. Flores, P.: A parametric study on the dynamic response of planar multibody systems with multiple clearance joints. Nonlinear Dyn. 61(4), 633–653 (2010)

    Article  MATH  Google Scholar 

  29. Tian, Q., Zhang, Y., Chen, L., Yang, J.: Simulation of planar flexible multibody systems with clearance and lubricated revolute joints. Nonlinear Dyn. 60(4), 489–511 (2010)

    Article  MATH  Google Scholar 

  30. Erkaya, S., Uzmay, I.: Investigation on effect of joint clearance on dynamics of four-bar mechanism. Nonlinear Dyn. 58(1–2), 179–198 (2009)

    Article  MATH  Google Scholar 

  31. Liu, C.S., Zhang, K., Yang, R.: The FEM analysis and approximate model for cylindrical joints with clearances. Mech. Mach. Theory. 42, 183–197 (2007)

    Article  MATH  Google Scholar 

  32. Gonthier, Y., Mcphee, J., Lange, C., Piedboeuf, J.C.: A regularized contact model with asymmetric damping and dwell-time dependent friction. Multibody Syst. Dyn. 11, 209–233 (2004)

    Article  MATH  Google Scholar 

  33. Flores, P., Lankarani, H.M.: Spatial rigid-multi-body systems with lubricated spherical clearance joints: modelling and simulation. Nonlinear Dyn. 60(1–2), 99–114 (2010)

    Article  MATH  Google Scholar 

  34. Ambrosio, J., Verissimo, P.: Improved bushing models for general multibody systems and vehicle dynamics. Multi-body Syst. Dyn. 22, 341–365 (2009)

    Article  MATH  Google Scholar 

  35. Flores, P., Ambrosio, J., Claro, J.C.P., Lankarani, H.M.: Dynamics of multi-body systems with spherical clearance joints. Comput. Struct. 87(13–14), 913–929 (2009)

    Google Scholar 

  36. Bauchau, O.A., Ju, C.: Modeling friction phenomenon in flexible multibody dynamics. Comput. Method Appl. M. 87, 913–929 (2006)

    MATH  Google Scholar 

  37. Hu, Y.Q., Wang, X.L., Qin, Y.C., Li, Z.H., Wang, C.F., Wu, H.: A robust hybrid generator for harvesting vehicle suspension vibration energy from random road excitation. Appl. Energ. 309, 118506 (2022)

    Article  Google Scholar 

Download references

Funding

This research is supported by Shandong Provincial Natural Science Foundation, China (ZR2021QE203) and National Natural Science Foundation of China (52075294).

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Authors and Affiliations

  1. School of Mechanical Engineering, Shandong University of Technology, Xincun Road 266, Zibo, 255000, People’s Republic of China

    Xiang Gao, Lei He, Zhen Qin & Zhonglong Wang

  2. School of Mechanical Engineering, Shandong University, Jinan, 250061, People’s Republic of China

    Junchuan Niu

  3. Ministry of Education, Key Laboratory of High-Efficiency and Clean Mechanical Manufacture (Shandong University, Jinan, 250061, People’s Republic of China

    Junchuan Niu

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  1. Xiang Gao
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Correspondence to Xiang Gao.

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Gao, X., Niu, J., He, L. et al. Vibration characteristics of multi-dimensional isolator based on 4-PUU parallel mechanism with joint clearance. Nonlinear Dyn 111, 5179–5195 (2023). https://doi.org/10.1007/s11071-022-08117-8

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  • DOI: https://doi.org/10.1007/s11071-022-08117-8

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