Analytical studies of the kinematic parameters of planar rod mechanisms
DOI:
https://doi.org/10.31548/machenergy2021.02.111Keywords:
planar rod mechanisms, kinematic parameters, kinematic analysis, analytical calculations, software environmentAbstract
Analytical studies of the kinematic parameters of planar (2D) rod mechanisms are considered on the example of the kinematic calculation of the axial crank-slider mechanism. The algorithm in the Mathcad software environment is used, which greatly simplifies and speeds up the calculation process and makes it possible to use the obtained data for further analysis and synthesis of mechanisms.
References
Doronin F. A., Doev V. S. (2011). Study of the motion of a planar mechanism using the Mathcad package. Theory of Mechanisms and Machines. 1(9). 77-87.
Petrov G. N. (2004). Computer model of mechanical systems in the Model Vision. Theory of Mechanisms and Machines. 1(9). 75-79.
Tretiakov V. M. (2009). Using Mathcad in determining the speeds and accelerations of rod mechanisms. Theory of Mechanisms and Machines. 2(7). 40-48.
Krasniqi Fehmi, Shala Ahmet, Krasniqi, Valdrin. (2008). Planar kinematics analysis method of seven-bar mechanism using vector loops and the verification of results experimentally. Proc. 12th International research/expert conference “Trends in the Development of Machinery and Associated Technology” (TMT). Istanbul. Turkey. 26-30 August. 985-988.
Lobontiu N., Garcia E. (2003). Analytical model of displacement amplification and stiffness optimization for a class of flexure-based compliant mechanisms. Computers and Structures. 81 (32). 2797-2810. doi:10.1016/j.compstruc.2003.07.003.
Hoevenaars Antonius, Lambert Patrice, Herder Just. (2014). Kinematic Design of Two Elementary 3DOF Parallel Manipulators with Configurable Platforms. Mechanisms and Machine Science. 15. 315-322. doi:10.1007/978-94-007-7214-4-35.
Zou H., Abdel-Malek K. A., Wang J. Y. (1997). Design propagation in mechanical systems: Kinematic analysis. Journal of Mechanical Design, Transactions of the ASME. 119(3). 338-345. doi:10.1115/1.2826353.
Henning S., Linß S., Gräser P., Theska R.,
Zentner L. (2021). Non-linear analytical modeling of planar compliant mechanisms. Mechanism and Machine Theory. 155 doi:10.1016/j.mechmachtheory.2020.104067.
Chen X., Jiang S., Wang S., Deng Y. (2019). Dynamics analysis of planar multi-DOF mechanism with multiple revolute clearances and chaos identification of revolute clearance joints. Multibody System Dynamics. 47(4). 317-345. doi:10.1007/s11044-018-09654-0.
Geng X., Li M., Liu Y., Zheng W., Zhao Z. (2019). Non-probabilistic kinematic reliability analysis of planar mechanisms with non-uniform revolute clearance joints. Mechanism and Machine Theory. 140. 413-433. doi:10.1016/j.mechmachtheory.2019.06.010.
Kaletnik H. M., Chernysh O. M., Berezovyi M. H. (2012). Use of modern methods of mechanics for agriculture. Collection of scientific papers of Vinnytsia National Agrarian University. Technical Sciences Series. 11. (65). 8-18.
Chernysh O. M., Berezovyi M. H. (2006). Elements of graphic modeling of the force vector on the plane using programming tools. MOTROL Motorization and Power Industry in Agriculture. 8. 69-80.
Zhang D., Xu Y., Yao J., Hu B., Zhao Y. (2017). Kinematics, dynamics and stiffness analysis of a novel 3-DOF kinematically/actuation redundant planar parallel mechanism. Mechanism and Machine Theory, 116. 203-219. doi:10.1016/j.mechmachtheory. 2017.04.011.
Chen Y., Sun Y., Yang D. (2017). Investi¬gations on the dynamic characteristics of a planar slider-crank mechanism for a high-speed press system that considers joint clearance. Journal of Mechanical Science and Technology. 31(1). 75-85. doi:10.1007/s12206-016-1209-z.
Nazarenko I., Mishchuk Y., Mishchuk D., Ruchynskyi M., Rogovskii I., Mikhailova L., Titova L., Berezovyi M., Shatrov R. (2021). Determiantion of energy characteristics of material destruction in the crushing chamber of the vibration crusher. Eastern-European Journal of Enterprise Technologies. 4(7(112). 41-49. https://doi.org/10.15587/1729-4061.2021.239292.
Kinitskiy Ya. Т. (2002). Theory of Mechanisms and Machines. Kyiv. Naukova Dumka. 662.
Marghitu Dan B. (2001). Mechanical engineer's handbook. San Diego: Academic Press. 864.
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