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Geometry of the Kinematic Chain and the Links of the Bennett’s Mechanism


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DOI: https://doi.org/10.15866/ireme.v12i9.15559

Abstract


In the literature there are dozens of articles devoted to the theoretical studies of Bennett's mechanism. However, there are very few articles on the practical use of Bennett's mechanism. The reason for this is the features of the geometry of the links and the technology of their manufacture. By their geometric structure, the mechanisms under consideration have "zero" and "non-zero" links. Here we consider the geometry of the kinematic chain of the Bennett mechanism and its links. The research on the influence of the mutual orientation (direction) of the axis of the joints of the links on the assembly of Bennett's parallelogram and the of Bennett's antiparallelogram is presented. These mechanisms are considered when the kinematic chain is closed and when the kinematic chain is open.
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Keywords


Assembly of The Spatial Mechanism; Bennett's Mechanism; "Zero" and "Non-Zero" Links; Parallelogram

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References


Artobolevsky I. I., Mechanisms in Modern Engineering Design : a handbook for engineers, designers and inventors, transl. from the Russ. by Nicholas Weinstein, Moscow: Mir Publ., Vol. 1, 1975-1977. 630 pp.
http://dx.doi.org/10.1016/0094-114x(79)90030-2

Hartenberg R. S., Denavit J., Kinematic Synthesis of Linkages, McGraw- Hill Book Co., NY, 1964, p 75.

C.-H. Kuo , J.-W. Su, Configuration analysis of a class of reconfigurable cube mechanisms: mobility and configuration isomorphism, Mech. Mach. Theory 107, 2017,pp. 369–383.
http://dx.doi.org/10.1016/j.mechmachtheory.2015.08.006

Carvalho J. C. M., Silvestre, T. R. Motion analysis of a six-legged robot using the bennett’s linkage as leg. Mechanisms and Machine Science 25, 2015, pp. 349-358.
http://dx.doi.org/10.1007/978-3-319-09858-6_33

Wang J., Kong, X., Deployable mechanisms constructed by connecting orthogonal bricard linkages, 8R or 10R single-loop linkages using S joints. Mechanism and Machine Theory 120, 2018, pp.178-191.
http://dx.doi.org/10.1016/j.mechmachtheory.2017.09.017

Ma X., Zhang K., Dai, J. S., Novel spherical-planar and bennett-spherical 6R metamorphic linkages with reconfigurable motion branches. Mechanism and Machine Theory 128, 2018, pp.628-647
http://dx.doi.org/10.1016/j.mechmachtheory.2018.05.001

Evgrafov, A. N., Petrov, G. N., Calculation of the geometric and kinematic parameters of a spatial leverage mechanism with excessive coupling, Journal of Machinery Manufacture and Reliability. 2013. 42(3), pp. 179-183.
http://dx.doi.org/10.3103/s1052618813030035

He X., Kong X., Hao G., Ritchie J,. Design and analysis of a new 7R single-loop mechanism with 4R, 6R and 7R operation modes. Mech Mach Sci 36, 2016, pp. 27-37.
http://dx.doi.org/10.1007/978-3-319-23327-7_3

Song, C., Feng, H., Chen, Y., Chen, I., Kang, R., Reconfigurable mechanism generated from the network of bennett linkages. Mechanism and Machine Theory, 88, 2015, pp. 49-62.
http://dx.doi.org/10.1016/j.mechmachtheory.2015.02.003

Pat. 2581487 Russian Federation, IPC B02C2/10 Disintegrator of uneven crushing, Yarullin M. G., Mingazov M. R., Isyanov I. R., Khabibullin F. F., publ. 04/20/2016 Byul. № 11-9с. (rus.).

M. Pfurner , X. Kong , Algebraic analysis of a new variable-DOF 7r mechanism, in: P. Wenger, P. Flores (Eds.), New Trends in Mechanism and Machine Science, Theory and Industrial Applications, Springer, 2016, pp. 71–79.
http://dx.doi.org/10.1007/978-3-319-44156-6_8

Semenov Y. A., Semenova N. S., Static analysis of flat lever mechanisms, Modern machine building. Science and Education: materials of the 4th Intern. Scientific-practical. Conference, Ed. M. M. Radkevich and A. N. Evgrafova. - SPb .: Publishing house of Polytechnic. Univ., pp.107-118,2014.

A. G. L. Hoevenaars, P. Lambert ,J. L. Herder, Kinematic design of two elementary 3DOF parallel manipulators with configurable platforms, Mech. Mach. Sci. 15,2014, pp. 315–322.

Q. Zeng, K. F. Ehmann, Design of parallel hybrid-loop manipulators with kinematotropic property and deployability, Mech. Mach. Theory 71 (1), 2014, pp. 1–26.
http://dx.doi.org/10.1016/j.mechmachtheory.2013.08.017

Guo, H., Song, X., Li, L., Deng, Z., Liu, R., & Geng, J., Type synthesis of deployable single-loop overconstrained linkages based on bennett linkages. Mechanism and Machine Theory, 120, 2018, pp. 1-29.
http://dx.doi.org/10.1016/j.mechmachtheory.2017.09.013

Chai, X., & Li, Q., Analytical mobility analysis of bennett linkage using geometric algebra. Advances in Applied Clifford Algebras, 27(3), 2017, pp. 2083-2095.
http://dx.doi.org/10.1007/s00006-017-0778-y

Szykiedans, K., Baska, G., Nowakowski, P., The analysis of Bennett’s linkage as a part of deployable mechanism, Advances in Intelligent Systems and Computing 393, 2016, pp. 291-296.
http://dx.doi.org/10.1007/978-3-319-23923-1_44

Fen H., Kang R., Chen Y., Workspace analysis of a reconfigurable mechanism generated from the network of bennett linkages. Mech Mach Sci 36, 2016, pp. 153-63.
http://dx.doi.org/10.1007/978-3-319-23327-7_14

Zhi C, Wang S, Li J, Peng Q. The configuration design and kinematic analysis of the deployable mechanism based on bennett linkage. Lect Notes ElectrEng 408, 2017, pp.773-85.
http://dx.doi.org/10.1007/978-981-10-2875-5_64

H. Ding , W. Cao , Z. Chen , Structural synthesis of two-layer and two-loop spatial mechanisms with coupling chains, Mech. Mach. Theory 92,2015, pp. 289–313.
http://dx.doi.org/10.1016/j.mechmachtheory.2015.05.015


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