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Dynamic modeling and analysis of the 3-PRS power head based on the screw theory and rigid multipoint constraints

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Abstract

This study presents a dynamic modeling and analysis methodology for the 3-PRS parallel mechanism. First, an improved reduced dynamic model of component substructures is proposed using the dynamic condensation technique and the rigid multipoint constraints at the joint/interface level, leading to a minimum set of generalized coordinates for external nodes. Next, the mapping between interface constraint stiffness and global stiffness is illustrated, resulting in an analytical stiffness model of joint substructures. Subsequently, the derived component and joint substructures are synthesized into the entire mechanism based on the Lagrange equation. Finally, a case study illustrates that the lower-order dynamic performances predicted within the proposed approach have the same trend as those obtained from a complete-order finite element model. The root mean square discrepancy of the lower-order natural frequencies between the two models is less than 5.92%, indicating the accuracy and effectiveness of the proposed model. The developed approach can highly and efficiently predict the dynamic performance distributions across the entire workspace and guide the optimal functional design under the virtual machine framework.

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Authors and Affiliations

  1. School of Engineering, The University of Warwick, Coventry, CV4 7AL, UK

    YiWei Ma, YanLing Tian & XianPing Liu

  2. School of Mechanical Engineering, Tianjin University, Tianjin, 300072, China

    YiWei Ma & ChengHao Lu

Authors
  1. YiWei Ma
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  2. YanLing Tian
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  3. XianPing Liu
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  4. ChengHao Lu
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Correspondence to YiWei Ma.

Additional information

This work was supported by the EU Horizon 2020 research and innovation program under the Marie Skłodowska-Curie (Grant No. 734272) and the China Scholarship Council (Grant No. 201908060118).

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Ma, Y., Tian, Y., Liu, X. et al. Dynamic modeling and analysis of the 3-PRS power head based on the screw theory and rigid multipoint constraints. Sci. China Technol. Sci. 66, 1869–1882 (2023). https://doi.org/10.1007/s11431-022-2369-0

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  • DOI: https://doi.org/10.1007/s11431-022-2369-0

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