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Geometry and Kinematics Analysis of Seven-Bar Three-Axis Fixed Compound Mechanism

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Technological Advancement in Mechanical and Automotive Engineering (ICMER 2021)

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Abstract

A two-degree-of-freedom seven-bar three-axis fixed composite mechanism was introduced. The mechanism was divided into two closed loops to provide the position and direction of movement for the end effector components. Two four-bar analytic equations were constructed through complex number operations, the closed kinematics equations of the mechanism were established, and then converted into a matrix format. The Jacobian matrix was further deduced, and the geometrical analysis and solution of the mechanism model were carried out, and the mathematical model was analyzed. The Jacobian matrix was used to establish a mathematical model, derive the working space range of the mechanism, establish a kinematics model, and obtain the end-effector position, speed and acceleration curve graph. The purpose was to accurately calculate the energy parameters of the mechanism at work. The simulation results showed that when the end-effector moved to the lowest position, the speed was zero, the acceleration change was small, and the impact was minimal. The corrugated cardboard box flap can be folded to the horizontal direction without causing damage to the surface of the box. The correctness and feasibility of the mathematical model was verified by energy parameters, which provided the basic principle analysis for the organization and provided a theoretical reference for practical applications.

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References

  1. Xie H (2012) Kinematic simulation and analysis of double-crank seven-bar mechanism. Sci Mosaic

    Google Scholar 

  2. Wang K, Zhang Y, Jing X (2019) Kinematics and singularity analysis of a novel uncoupled 2-DOF rotational parallel mechanism. In: IFToMM international conference on mechanisms, transmissions and applications

    Google Scholar 

  3. Zalyubovskii MG, Panasyuk IV (2020) On the study of the basic design parameters of a seven-link spatial mechanism of a part processing machine. Int Appl Mech 56(1)

    Google Scholar 

  4. Shrinivas S, Balli et al (2003) Synthesis of a planar seven-link mechanism with variable topology for motion between two dead-center positions. Mech Mach Theory

    Google Scholar 

  5. Gadad GM, Balli SS, Daivagna UM (2005) Triad and dyad synthesis of planar seven-link mechanisms with variable topology

    Google Scholar 

  6. Wang J, Nie L, Zhao D et al (2017) Equivalent five-bar linkages for the singularity analysis of two-dof seven-bar linkages. In: ASME international design engineering technical conferences & computers & information in engineering conference

    Google Scholar 

  7. Zhao X, Chen J, Wu J et al (2013) Kinematics modeling and analysis of modified elliptical gear-seven-bar seedling mechanism. China Mech Eng 24(08):1001–1007

    Google Scholar 

  8. Li N (2017) Kinematics analysis and optimization design of a typical planar six-bar linkage mechanism based on ADAMS. Dev Innovation Mech Electr Prod 30(01):62–63+110

    Google Scholar 

  9. Nie L (2020) Singularity and branch identification of a 2 degree-of-freedom (DOF) seven-bar spherical parallel manipulator. Mech Sci 11(2)

    Google Scholar 

  10. Zuo F, Wu B, Lu M et al (2019) Kinematics simulation and optimization design of six-bar pusher mechanism. Appl Autom (12):39–41

    Google Scholar 

  11. Lavi R (2012) Mechanism design. Encycl Comple Syst Sci 14(3–4):5510–5523

    MathSciNet  Google Scholar 

  12. Chen X, Tang Y (2020) Dynamic modeling, response, and chaos analysis of 2-dof hybrid mechanism with revolute clearances. Shock Vibr 2020:1–20

    Google Scholar 

  13. Cheng S, Chen H (2019) Dynamic analysis of reciprocating compressor with two revolute joint clearances. In: IOP conference series: materials science and engineering, vol 677, no 3, p 032079 (5pp)

    Google Scholar 

  14. Chu ZB, Li-Dan, Huang, QX (2011) Dynamic study of 8-R seven bar III degree of freedom linkage mechanism. Switzerland (480–481):1480–1484

    Google Scholar 

  15. Wu X, Wang K, Wang Y et al (2021) Kinematic design and analysis of a 6-DOF spatial five-Bar linkage[J]. Mech Mach Theory 158(1):104227

    Article  Google Scholar 

  16. Lu K, Yuan Y (2012) Kinematics and dynamics simulation analysis of six-bar mechanism based on ADAMS. J Henan Univ Technol (Nat Sci Ed) 31(05):555–560

    Google Scholar 

  17. Zhao X, Guo J, Li K et al (2020) Optimal design and experiment of 2-DoF five-bar mechanism for flower seedling transplanting. Comput Electron Agric 178(11):105746

    Article  Google Scholar 

  18. Wang Y, Wen X, Engineering CO et al (2016) Kinematic analysis and optimization method of six bar linkage in shaping machine. Mech Eng

    Google Scholar 

  19. Nukulwuthiopas W, Laowattana S, Maneewarn T (2003) Dynamic modeling of a one-wheel robot by using Kane's method. In: IEEE international conference on industrial technology. IEEE

    Google Scholar 

  20. Yao W, Dai JS (2008) Dexterous manipulation of origami cartons with robotic fingers based on the interactive configuration space. Trans ASME J Mech Des 130(2):022303–1–022303–8

    Google Scholar 

Download references

Acknowledgements

This work was finally supported by the National Natural Science Foundation of China(Grant No.31660239).

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Correspondence to Wang Yutan .

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Zhenwei, X., Yutan, W. (2023). Geometry and Kinematics Analysis of Seven-Bar Three-Axis Fixed Compound Mechanism. In: Ismail, M.Y., Mohd Sani, M.S., Kumarasamy, S., Hamidi, M.A., Shaari, M.S. (eds) Technological Advancement in Mechanical and Automotive Engineering. ICMER 2021. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-1457-7_38

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  • DOI: https://doi.org/10.1007/978-981-19-1457-7_38

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-1456-0

  • Online ISBN: 978-981-19-1457-7

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