Manufacturing Technology 2021, 21(3):288-293 | DOI: 10.21062/mft.2021.037
A New Coupler Critical Dimensions (CCD) Method for Linkage Mechanisms Mobility Analysis
- 1 Mechanical and Aerospace Engineering Department, Nazarbayev University in Nus-Sultan. Kabanbay batyr 53, 010000 Nur-Sultan. Kazakhstan
- 2 Engineering Faculty,Baku Engineering University, Azerbaijan
- 3 Department of Robotics and Mechatronics Engineering, Kennesaw State University, Marietta, GA, USA
A new Coupler Critical Dimensions (CCD) approach to define mobility criteria (crank, rocker conditions, or existence) for linkage mechanisms has been presented in this paper. The idea is to analyze the extreme lengths of a mechanism coupler link when the mechanism is on the extreme of its existence or changing its mobility condition. The method leads a set of expressions of the constant mechanism parameters that can be used to define the exact dimensional limits of the coupler link in the mechanism. These expressions present sufficient and necessary dimensional conditions for the mechanism existence and become a turning point to change its mobility from crank to a rocker and vice versa. At the boundaries of the coupler dimensions, the mechanism reaches its the change-point configuration where the mechanism may switch either from one work function to another or from existence to non-existence. The method has been successfully applied to the planar 4R, spatial RSSR, and planar multiloop linkage mechanisms. The obtained results prove the effectiveness and accuracy of the method in defining the limits of the mechanism rotatability conditions or existence in general.
Keywords: Linkage mobility, crank condition, change point configuration.
Received: January 6, 2021; Revised: March 19, 2021; Accepted: April 2, 2021; Prepublished online: April 13, 2021; Published: June 7, 2021 Show citation
References
- Chang, W. T., Lin, C. C., & Wu, L. I. (2005). A Note on Grashof's Theorem. Journal of Marine Science and Technology,13(4), pp. 239-248.
Go to original source...
- Ting, K., & Liu, Y. (1991). Rotatability Laws for N-Bar Kinematic Chains and Their Proof. Journal of Mechanical Design,113(1), pp. 32-39.
Go to original source...
- Ting, K., Wang, H., Cue, C., & Currie, K., R. (2010). Full Rotatability and Singularity of Six-Bar and Geared Five-Bar Linkages. Journal of Mechanisms and Robotics, 2(1), pp. 100-1-9.
Go to original source...
- Gogate, G. R. (2018). Explicit input link rotatability analysis of Watt six-link mechanisms. Journal of Mechanical Science and Technology,32(7), pp. 3407-3417.
Go to original source...
- Midha, A., Zhao, Z., & Her, I. (1985). Mobility Conditions for Planar Linkages Using Triangle Inequality and Graphical Interpretation. Transmissions and Automation in Design,107(3), pp. 1-6.
Go to original source...
- Angeles, J., & Bernier, A. (1987). A General Method of Four-Bar Linkage Mobility Analysis. Journal of Mechanisms, Transmission, and Automation in Design,109(2), pp. 197-203.
Go to original source...
- Li, R., & Dai, J. S. (2009). Crank conditions and rotatability of 3-RRR planar parallel mechanisms. Science in China Series E: Technological Sciences, 52, pp. 17-48.
Go to original source...
- Bai, S. (2017). Geometric analysis of coupler-link mobility and circuits for planar four-bar linkages. Mechanism and Machine Theory,118, pp. 53-64.
Go to original source...
- Bai, S. (2017). Coupler-Link Mobility Analysis of Planar Four-Bar Linkages. New Trends in Mechanism and Machine Science, Springer, pp. 41-49.
Go to original source...
- Bottema, O., The Motion of the Screw Four-Bar, Journal of Mechanisms, Vol. 6, 1971, pp 69-79.
Go to original source...
- Cheng, J. C., Kohli, D., Synthesis of Mechanisms Including Circuit Defects and Input-Crank Rotatability, Proceedings Mechanical Design and Synthesis, ASME, USA, 1992, pp 111-119.
Go to original source...
- Nolle, H., Ranges of Motion Transfer by the R-G-G-R Mechanisms, Journal of Mechanisms, Vol. 4, 1969, pp 145-157.
Go to original source...
- Pamidi, P.R., Freudenstein, F., On the Motion of a Class of Five-link, R-C-R-C-R, Spatial Mechanisms, Journal of Engineering for Industry, Feb. 1975, pp 334-339.
Go to original source...
- Ting, K., Xiaohong, D., Branch, Mobility Criteria, and Classification of RSSR and Other Bimodal Linkages, Proceedings Mechanism Synthesis and Analysis, ASME, USA, 1994, pp 303-310.
Go to original source...
- Luo, H. T., Bidirectional Extreme Convergency Method (BECM) to Identify the Mobility Regions of the RSSR Mechanism, Proceedings 22nd Biennial Mechanisms Conference, ASME, USA, Vol.47, 1992, pp 151-159.
- Gupta, K. C., Ma, R., Direct Rotatability Criterion for Spherical Four-bar Linkages, Journal of Mechanical Design, Dec., Vol. 117, 1995, pp 597-600.
Go to original source...
- Kazerounian, K., & Solecki, R. (1993). Mobility analysis of general bi-modal four-bar linkages based on their transmission angle. Mechanism and Machine Theory,28(3), 437- 445.
Go to original source...
- Blatnický M, Dižo J, Harušinec J. Modification of a design of a wheel-tracked chassis of a mine-clearing machine. Manufacturing Technology. 2020; 20(3), pp. 286-292. doi: 10.21062/mft.2020.044.
Go to original source...
- Minárik M, Bodnár F. Dynamic Analysis of the Crank Mechanism through the Numerical Solution. Manufacturing Technology. 2019; 19(6), pp. 1003-1009. doi: 10.21062/ujep/410.2019/a/1213-2489/MT/19/6/1003.
Go to original source...
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