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
Xie H (2012) Kinematic simulation and analysis of double-crank seven-bar mechanism. Sci Mosaic
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
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)
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
Gadad GM, Balli SS, Daivagna UM (2005) Triad and dyad synthesis of planar seven-link mechanisms with variable topology
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
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
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
Nie L (2020) Singularity and branch identification of a 2 degree-of-freedom (DOF) seven-bar spherical parallel manipulator. Mech Sci 11(2)
Zuo F, Wu B, Lu M et al (2019) Kinematics simulation and optimization design of six-bar pusher mechanism. Appl Autom (12):39–41
Lavi R (2012) Mechanism design. Encycl Comple Syst Sci 14(3–4):5510–5523
Chen X, Tang Y (2020) Dynamic modeling, response, and chaos analysis of 2-dof hybrid mechanism with revolute clearances. Shock Vibr 2020:1–20
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)
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
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
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
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
Wang Y, Wen X, Engineering CO et al (2016) Kinematic analysis and optimization method of six bar linkage in shaping machine. Mech Eng
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
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
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This work was finally supported by the National Natural Science Foundation of China(Grant No.31660239).
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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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