MS Mechanical Sciences MS Mech. Sci. 2191-916X Copernicus Publications Göttingen, Germany 10.5194/ms-4-391-2013 Vector model of the timing diagram of automatic machine Jomartov A. https://orcid.org/0000-0002-7262-5267 1 Institute Mechanics and Mechanical Engineering, Almaty, Kazakhstan 11 12 2013 4 2 391 396 Copyright: © 2013 A. Jomartov 2013 This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit https://creativecommons.org/licenses/by/3.0/ This article is available from https://ms.copernicus.org/articles/4/391/2013/ms-4-391-2013.html The full text article is available as a PDF file from https://ms.copernicus.org/articles/4/391/2013/ms-4-391-2013.pdf

In this paper a vector model of timing diagram of automatic machine is developed, which allows us to solve a variety dynamic tasks by changing the parameters of timing diagram of its mechanisms. The connection between the parameters of the timing diagram of automatic machine and equations of motion mechanisms through functions of position and transfer functions of mechanisms is established. The vector model of timing diagram can be used to optimize the timing diagrams of looms and polygraphic machines.

 References Browne, J. W.: The Theory of Machine Tools, Cassell and Co. Ltd., London, p. 374, 1965. Homer, D. E.: Kinematic Design of machines and mechanisms, McGraw-Hill, New York, p. 661, 1998. Jomartov, A.: Dynamics of machine-automaton jointly with cyclegram, World Congress on Engineering, L\^indon, UK, 1224–1229, 2010. Jomartov, A.: Multi-Objective Optimization Of Cyclogram Mechanisms Machine-Automaton, World Congress on Engineering, L\^indon, UK, 2562–2565, 2011. Levner, E. and Kats, V. D.: Cyclic Scheduling in Robotic Cells:An Extension of Basic Models in Machine Scheduling Theory, Multiprocessor Scheduling: Theory and Applications, Vienna, Austria, p. 436, 2007. Natale, C.: Interaction control of robot manipulators: six degrees-of-freedom tasks, Springer-Verlag, Berlin, p. 108, 2003. Niir Board: Complete technology book on textile, spinning, weaving, finishing and printing, National Institute of Industrial Re, Delhi, p. 814, 2009. Norton, R. L.: Cam Design and Manufacturing Handbook, Industrial Press Inc., p. 591, 2009. Novgorodtsev, V. A.: Presentation of the machine timing diagram as a graph, Theory of mechanisms and machines, Kharkov, 33, 57–60, 1982. Petrokas, L. V.: Reviews of timing diagram manufacturing machines and automatic production lines, J. Theory of automatic machines and pneumatic, Moscow, 22–36, 1970. Sandler, B. Z.: Robotics: designing the mechanisms for automated machinery, Academic Press, San Diego, p. 433, 1999. Singh, B. and Bhattacharya, S. K.: Control of machines, New Age International, New Delhi, p. 338, 2006. Topalbekiroglu, M. and Celik, H. I.: Kinematic analysis of beat-up mechanism used for handmade carpet looms, Indian J. Fibre Textile Res., 34, 129–136, 2009. Wolfson, I. I.: Dynamics calculations of cycle mechanisms, Mashinostroenie, Leningrad, p. 328, 1976. Youssef, H. A. and El-Hofy, H.: Machining technology: machine tools and operations, Taylor & Francis Group, London, p. 672, 2008.