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Effect of driving functions with different jerk and accelerating time length on dynamic performance for mechanical systems: analysis and optimization

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Abstract

We studied the methods that are used for analyzing and optimizing the dynamic performance of mechanical systems in the startup stage under different driving functions. Especially, we considered the effects of joint clearance and component flexibility. The dynamic model of mechanical system is the basis of our methods. A higher order polynomial was used for describing the driving form of mechanical system, and the initial jerk and accelerating time length were employed to determine the specific driving function. Besides, we presented three performance evaluation parameters for mechanical system and introduced surrogate models to improve performance evaluation efficiency. Then, the optimal driving function was determined by using the surrogate models and a multi-objective optimization algorithm. Finally, a planar slider-crank mechanism with a clearance joint was taken as an example to demonstrate our methods.

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References

  1. X. Liu and J. M. McCarthy, Design of a continuum mechanism that matches the movement of an eight-bar linkage, J, of Mechanisms and Robotics, 12(6) (2020) 061013.

    Article  Google Scholar 

  2. Q. Qiao, J. Yuan, Y. Shi, X. Ning and F. Wang, Structure, design, and modeling of an origami-inspired pneumatic solar tracking system for the NPU-phonesat, J. of Mechanisms and Robotics, 9(1) (2017) 011004.

    Article  Google Scholar 

  3. J. Ding, C. Wang and H. Wu, Accuracy analysis of a parallel positioning mechanism with actuation redundancy, Journal of Mechanical Science and Technology, 33(1) (2019) 403–412.

    Article  Google Scholar 

  4. H. Wu, C. Wang, Z. Ding, J. Ding, Y. Dong and J. Man, Optimization design of a landing gear under uncertain landing attitude, J. of Astronautics, 39(12) (2018) 1323–1331.

    Google Scholar 

  5. Z. Wang, Q. Tian, H. Hu and P. Flores, Nonlinear dynamics and chaotic control of a flexible multibody system with uncertain joint clearance, Nonlinear Dynamics, 86 (2016) 1571–1597.

    Article  Google Scholar 

  6. S. Atay, M. Bryant and G. Buckner, The spherical rolling-flying vehicle: dynamic modeling and control system design, J. of Mechanisms and Robotics, 13(5) (2021) 050901.

    Article  Google Scholar 

  7. S. Erkaya and I. Uzmay, Investigation on effect of joint clearance on dynamics of four-bar mechanism, Nonlinear Dynamics, 58 (2009) 179–198.

    Article  Google Scholar 

  8. S. Erkaya and I. Uzmay, Determining link parameters using genetic algorithm in mechanisms with joint clearance, Mechanism and Machine Theory, 44(1) (2009) 222–234.

    Article  Google Scholar 

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

    Article  Google Scholar 

  10. Y. Lu, S. Song, C. Wang and F. Zeng, Dynamic analysis for lunar lander based on rigid-flexible coupled model, J. of Beijing University of Aeronautics and Astronautics, 36(11) (2010) 1348–1352.

    Google Scholar 

  11. E. Zheng, R. Zhu, S. Zhu and X. Lu, A study on dynamics of flexible multi-link mechanism including joints with clearance and lubrication for ultra-precision presses, Nonlinear Dynamics, 83 (2016) 137–159.

    Article  MathSciNet  Google Scholar 

  12. J. F. Archard, Contact and rubbing of flat surfaces, J. of Applied Physics, 24 (1953) 981–988.

    Article  Google Scholar 

  13. X. Lai, H. He, Q. Lai, C. Wang, J. Yang, Y. Zhang, H. Fang and S. Liao, Computational prediction and experimental validation of revolute joint clearance wear in the low-velocity planar mechanism, Mechanical Systems and Signal Processing, 85 (2017) 963–976.

    Article  Google Scholar 

  14. X. Zheng, F. Zhang and Q. Wang, Modeling and simulation of planar multibody systems with revolute clearance joints considering stiction based on an LCP method, Mechanism and Machine Theory, 130 (2018) 184–202.

    Article  Google Scholar 

  15. Y. Zhang, Y. Gu, T. Liu, J. Zhao and S. Yan, Dynamic behavior and parameter sensitivity of the free-floating base for space manipulator system considering joint flexibility and clearance, J. of Mechanical Engineering Science, 233(3) (2019) 895–910.

    Article  Google Scholar 

  16. Y. Li, C. Wang and W. Huang, Dynamics analysis of planar rigid-flexible coupling deployable solar array system with multiple revolute clearance joints, Mechanical Systems and Signal Processing, 117 (2019) 188–209.

    Article  Google Scholar 

  17. G. Wang and L. Wang, Dynamics investigation of spatial parallel mechanism considering rod flexibility and spherical joint clearance, Mechanism and Machine Theory, 137 (2019) 83–107.

    Article  Google Scholar 

  18. T. Lv, Y. Zhang, Y. Duan and J. Yang, Kinematics and compliance analysis of double wishbone air suspension with frictions and joint clearances, Mechanism and Machine Theory, 156 (2021) 104127.

    Article  Google Scholar 

  19. Q. Ding, C. Feng, Z. Li and Z. Wu, Study on DHMM fault diagnostic methods for rotating machinery during run-up, J. of Vibration Engineering, 16(1) (2003) 41–45.

    Google Scholar 

  20. J. Yuan, S. Xia, W. Zong, B. Zhou and Y. Fu, Transient stress characteristic during centrifugal pumps start-up based on fluent-structure interaction, J. of Vibration and Shock, 35(12) (2016) 196–201.

    Google Scholar 

  21. X. Liu, Structure of jerk-continuous cam curve suitable for special requirements, Heavy Machinery, 5 (2010) 46–51.

    Google Scholar 

  22. S. Lu, Y. Zhao, J. He and S. Chen, Trajectory planning of a 4-DOF parallel kinematic manipulator while considering jerk impact, China Mechanical Engineering, 25(6) (2014) 784–788.

    Google Scholar 

  23. J. Huang, P. Hu, K. Wu and M. Zeng, Optimal time-jerk trajectory planning for industrial robots, Mechanism and Machine Theory, 121 (2018) 530–544.

    Article  Google Scholar 

  24. A. Alzaydi, Time-optimal, minimum-jerk, and acceleration continuous looping and stitching trajectory generation for 5-axis on-the-fly laser drilling, Mechanical Systems and Signal Processing, 121 (2019) 532–550.

    Article  Google Scholar 

  25. Y. Fang, J. Qi, J. Hu, W. Wang and Y. Peng, An approach for jerk-continuous trajectory generation of robotic manipulators with kinematical constraints, Mechanism and Machine Theory, 153 (2020) 103957.

    Article  Google Scholar 

  26. H. M. Lankarani and P. E. Nikravesh, A contact force model with hysteresis damping for impact analysis of multibody systems, J. of Mechanical Design, 112(3) (1990) 369–376.

    Article  Google Scholar 

  27. W. Xiang, S. Yan, J. Wu and W. Niu, Dynamic response and sensitivity analysis for mechanical systems with clearance joints and parameter uncertainties using Chebyshev polynomials method, Mechanical Systems and Signal Processing, 138 (2020) 106596.

    Article  Google Scholar 

  28. M. Qian, Z. Qin, S. Yan and L. Zhang, A comprehensive method for the contact detection of a translational clearance joint and dynamic response after its application in a crank-slider mechanism, Mechanism and Machine Theory, 145 (2020) 103717.

    Article  Google Scholar 

  29. L. Chen, Mechanical System Dynamics Analysis and ADAMS Application Tutorial, Tsinghua University Press, Beijing (2005).

    Google Scholar 

  30. R. R. J. Craig and M. C. C. Bampton, Coupling of substructure for dynamic analyses, AIAA J., 6(7) (1968) 1313–1319.

    Article  Google Scholar 

  31. X. He, The analysis on ADAMS dynamic simulation algorithm and parameters select, Drive System Technique, 19(3) (2005) 27–30.

    Google Scholar 

  32. D. Rand, Dynamical Systems and Turbulence (Lecture Notes in Mathematics), Springer-Verlag, New York, USA (1982).

    Google Scholar 

  33. A. M. Fraser and H. L. Swinney, Independent coordinates for strange attractors from mutual information, Physical Review A, 33(2) (1986) 1134–1140.

    Article  MathSciNet  Google Scholar 

  34. M. B. Kennel, R. Brown and H. D. I. Abarbanel, Determining embedding dimension for phase-space reconstruction using a geometrical construction, Physical Review A, 45(6) (1992) 3403–3411.

    Article  Google Scholar 

  35. H. Wu, W. Niu, S. Wang, S. Yan and T. Liu, Sensitivity analysis of input errors to motion deviations of underwater glider based on optimized response surface methodology, Ocean Engineering, 209 (2020) 107400.

    Article  Google Scholar 

  36. J. Wang, C. Wang and J. Zhao, Frequency response function-based model updating using kriging model, Mechanical Systems and Signal Processing, 87 (2017) 218–228.

    Article  Google Scholar 

  37. H. Wu, W. Niu, S. Wang and S. Yan, An optimization method for control parameters of underwater gliders considering energy consumption and motion accuracy, Applied Mathematical Modelling, 90 (2021) 1099–1119.

    Article  MathSciNet  Google Scholar 

  38. M. Fu, L. Lei, G. Yang and B. Li, Multi-objective shape optimization of autonomous underwater glider based on fast elitist non-dominated sorting genetic algorithm, Ocean Engineering, 157 (2018) 339–349.

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No. 11872033) and the Natural Science Foundation of Beijing Municipality (Grant No. 3172017).

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Correspondence to Shaoze Yan.

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Hongyu Wu is a doctoral candidate in Mechanical Engineering, Tsinghua University, Beijing, China. He received his M.S. in Mechanical Engineering from Beihang University. His research interests include multibody dynamics, underwater glider technology, multidisciplinary optimization design, and landing buffer technology.

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Wu, H., Zhang, Y. & Yan, S. Effect of driving functions with different jerk and accelerating time length on dynamic performance for mechanical systems: analysis and optimization. J Mech Sci Technol 36, 2225–2238 (2022). https://doi.org/10.1007/s12206-022-0406-1

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  • DOI: https://doi.org/10.1007/s12206-022-0406-1

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