A novel graphical and analytical method for the kinematic analysis of fourth class Assur groups
DOI:
https://doi.org/10.17533/udea.redin.13660Keywords:
fourth class Assur group, structural analysis, kinematic analysisAbstract
A method for the kinematic analysis of a fourth class Assur group, using a combination of graphical and analytical methods, is presented in this paper. The solution is obtained through a method in which two special Assur points are used. A mechanism of 1 DOF with a fourth class group is considered as an example to develop the proposed method. The results of this method are in agreement with the results obtained by a dynamic simulation program. Since there are no solutions for fourth class structural groups in the literature,this method allows developing a complete modular procedure for the kinematic analysis of mechanisms, with the methodological advantages that this type of solution offers.
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References
I. I. Artobolevski. Theory of Mechanisms and Machines. Ed.Nauka. Moscow. Russian. 1988. pp. 52-63.
P. Fanghella, C. Galleti, “A modular method for computational kinematics”. Computational Kinematics. J. Angeles, G. Hommel and P. Kovacs (editors). Ed. Kluwer. Dordrecht. 1993. pp. 275-284. DOI: https://doi.org/10.1007/978-94-015-8192-9_25
G. Calle, A. Diaz, H. F. Quintero. Análisis cinemático de mecanismos planos a partir del análisis estructural según Assur. V Congreso Iberoamericano de Ingeniería Mecánica. Merida. Venezuela. Octubre 23-26. 2001. pp. 1231-1240.
S. Mitsi, K. D. Bouzakis, G. Mansour. “Position analysis in polynomial form of planar mechanism with an Assur group of class 4 including one prismatic joint”. Mech. and Mach. Theory. Vol. 39. 2004. pp. 237-245. DOI: https://doi.org/10.1016/S0094-114X(03)00115-0
W. Y. Cheng. “The position analysis of Assur kinematic chain with five links”. Mech. and Mach. Theory. Vol. 40. 2005. pp. 1015-1029. DOI: https://doi.org/10.1016/j.mechmachtheory.2004.12.016
S. Mitsi, K. D. Bouzakis, G. Mansour, I. Popescu. “Position analysis in polynomial form of class-three Assur”. Mech. and Mach. Theory. Vol. 43. 2008. pp. 1401-1415. DOI: https://doi.org/10.1016/j.mechmachtheory.2007.12.001
K. Romaniak. Methodology of the Assur Groups Creation. 12th IFToMM World Congress. Besançon, France. June 18-21. 2007. pp. 1- 5.
G. G. Baránov. Curso de la teoría de Mecanismos y Máquinas. Ed. Mir. Barcelona. 1979. pp. 46-82.
Mashinostroyenye: Enciclopedy in 40 Vols. Dynamic and Strength of machines. Theory of Mechanisms and Machines. Vols. 1-3. Book 2. Ed. Mashinostroyenye. Moscú. 1995. pp. 415-417.
R. Brock, H. Dresig, C. Hammerschmidt, B. Hüther, E. Huhn, W. Ihme, P. Jacobi, G. Jokisch, W. Müller, M. Schulze, G. Thiel. “Kinematische Analyse ebener Mechanismen”. Getriebetechnik Lehrbuch. J. Volmer. (editor). 1ª ed. Ed. Verl Technik. Berlin. 1987. pp. 166-168.
J. Buskiewicz. “A method of optimization of solving a kinematic problem with the use of structural analysis algorithm (SAM)”. Mech. and Mach. Theory. Vol. 41. 2006. pp. 823-837 DOI: https://doi.org/10.1016/j.mechmachtheory.2005.10.003
L. T. Dvornikov, S. P. Starikov. “Kinematics and kinetostatics of Assur’s flat six-section group of the fourth class”. Mech. and Mach. Theory. Vol. 4. 2006. pp. 61-65.
M. Z. Kolovsky, A. N. Evggrafov, Y. U. Semenov, A. V. Slousch. Advanced Theory of Mechanisms and Machines. Ed. Springer. Berlin. 2000. pp. 79-85 DOI: https://doi.org/10.1007/978-3-540-46516-4_3
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