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On-line estimation of the mechanical stiffness of rod mechanisms

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Abstract
The stiffness of a mechanism is an important parameter for control design and position accuracy. A value of this parameter is usually obtained from a data-sheet of the coupling between the motor and the load, or from a measured frequency response. These methods are however not applicable to rod mechanisms, which are widely used in industry due to their rotary-linear conversion. Firstly, the load is typically directly connected to the rotor without a physical coupling. Secondly, the mechanical parameters and especially the inertia of these mechanisms are position and time dependent. Rod mechanisms are thus non-linear time-varying systems, which excludes off-line methods such as measuring a frequency response for estimation. This paper therefore presents a novel approach, based on the Sliding Discrete Fourier Transform (SDFT), for on-line estimation of the mechanical stiffness. The feasibility is verified with simulations on an equivalent two-mass system of an industrial pick and place unit, existing of a combined four-bar/slider-crank mechanism. Simulations show that accurate estimates are obtained and changing stiffness can be detected, which can serve as a new diagnostic tool.
Keywords
Sliding Discrete Fourier Transform (SDFT), Inertia variation, Motion control, Machine diagnosis

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MLA
Vanbecelaere, Foeke, et al. “On-Line Estimation of the Mechanical Stiffness of Rod Mechanisms.” 2021 9th International Conference on Control, Mechatronics and Automation (ICCMA), vol. 9, IEEE, 2021, pp. 188–93, doi:10.1109/ICCMA54375.2021.9646208.
APA
Vanbecelaere, F., Stockman, K., & Monte, M. (2021). On-line estimation of the mechanical stiffness of rod mechanisms. 2021 9th International Conference on Control, Mechatronics and Automation (ICCMA), 9, 188–193. https://doi.org/10.1109/ICCMA54375.2021.9646208
Chicago author-date
Vanbecelaere, Foeke, Kurt Stockman, and Michael Monte. 2021. “On-Line Estimation of the Mechanical Stiffness of Rod Mechanisms.” In 2021 9th International Conference on Control, Mechatronics and Automation (ICCMA), 9:188–93. IEEE. https://doi.org/10.1109/ICCMA54375.2021.9646208.
Chicago author-date (all authors)
Vanbecelaere, Foeke, Kurt Stockman, and Michael Monte. 2021. “On-Line Estimation of the Mechanical Stiffness of Rod Mechanisms.” In 2021 9th International Conference on Control, Mechatronics and Automation (ICCMA), 9:188–193. IEEE. doi:10.1109/ICCMA54375.2021.9646208.
Vancouver
1.
Vanbecelaere F, Stockman K, Monte M. On-line estimation of the mechanical stiffness of rod mechanisms. In: 2021 9th International Conference on Control, Mechatronics and Automation (ICCMA). IEEE; 2021. p. 188–93.
IEEE
[1]
F. Vanbecelaere, K. Stockman, and M. Monte, “On-line estimation of the mechanical stiffness of rod mechanisms,” in 2021 9th International Conference on Control, Mechatronics and Automation (ICCMA), Belval, Luxembourg, 2021, vol. 9, pp. 188–193.
@inproceedings{8732132,
  abstract     = {{The stiffness of a mechanism is an important parameter for control design and position accuracy. A value of this parameter is usually obtained from a data-sheet of the coupling between the motor and the load, or from a measured frequency response. These methods are however not applicable to rod mechanisms, which are widely used in industry due to their rotary-linear conversion. Firstly, the load is typically directly connected to the rotor without a physical coupling. Secondly, the mechanical parameters and especially the inertia of these mechanisms are position and time dependent. Rod mechanisms are thus non-linear time-varying systems, which excludes off-line methods such as measuring a frequency response for estimation. This paper therefore presents a novel approach, based on the Sliding Discrete Fourier Transform (SDFT), for on-line estimation of the mechanical stiffness. The feasibility is verified with simulations on an equivalent two-mass system of an industrial pick and place unit, existing of a combined four-bar/slider-crank mechanism. Simulations show that accurate estimates are obtained and changing stiffness can be detected, which can serve as a new diagnostic tool.}},
  author       = {{Vanbecelaere, Foeke and Stockman, Kurt and Monte, Michael}},
  booktitle    = {{2021 9th International Conference on Control, Mechatronics and Automation (ICCMA)}},
  isbn         = {{9781665410731}},
  keywords     = {{Sliding Discrete Fourier Transform (SDFT),Inertia variation,Motion control,Machine diagnosis}},
  language     = {{eng}},
  location     = {{Belval, Luxembourg}},
  pages        = {{188--193}},
  publisher    = {{IEEE}},
  title        = {{On-line estimation of the mechanical stiffness of rod mechanisms}},
  url          = {{http://doi.org/10.1109/ICCMA54375.2021.9646208}},
  volume       = {{9}},
  year         = {{2021}},
}

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