Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Article

The algorithm for generating dynamics equations for a mechanical system with a finite number of degrees of freedom based on the theorem of change of kinetic energy

Published: 09.12.2014

Authors: Rusanov P.G.

Published in issue: #12(36)/2014

DOI: 10.18698/2308-6033-2014-12-1351

Category: Basic science

By the example of planar mechanisms with two degrees of freedom the article demonstrates principles of organization of the algorithm to represent dynamics equations based on the theorem of change of kinetic energy in differential form. The offered technology of displaying mathematical model of a dynamic condition of mechanical system differs from classical methods, including Lagrange equations of the second kind.


References
[1] Velichenko V.V. Matrichno-geometricheskie metody v mekhanike s prilozheniyami k zadacham robototekhniki [Matrix-geometric methods in mechanics with applications to problems of robotics]. Moscow, Nauka Publ., Head editorial board of phys.-math. Literature, 1988, 280 p.
[2] Wittenburg J. Dynamics of Systems of Rigid Bodies. B.G. Teubner, Stuttgart, 1977.
[3] Eliseev S.V., Svinin M.M. Matematicheskoe i programmnoe obespechenie v issledovaniyakh manipulyatsionnykh sistem [Mathematical and software in manipulation systems research]. Novosibirsk, Nauka Publ., Sibirian branch, 1992, 296 p.
[4] Efimov G.B., Pogorelov D.Yu. Nekotorye algoritmy avtomatizirovannogo sinteza uravneniy dvizheniya sistemy tverdykh tel [Some algorithms for the automated synthesis of the equations of motion of solids]. Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences. Preprint. Moscow, 1993, no. 84.
[5] Lilov L. Uspekhi mekhaniki - Advances in Mechanics, 1983, vol. 6, no. 1-2, pp. 46-90.
[6] Popov E.P., Vereschagin A.F., Zenkevich S.L. Manipulyatsionnye roboty. Dinamika i algoritmy [Manipulation robots. Dynamics and Algorithms]. Moscow, Nauka Publ., 1978, 378 p.
[7] Routh E.J. Dynamics of a system of rigid bodies. In two parts. Dover Publ., Inc., New York.
[8] Fu K., Gonzalez R., Lee C. Robotics: Control, sensing, vision and intelligence, McGraw-Hill, 1987.
[9] Shahinpoor M. A Robot Engineering Textbook. Harper & Raw Publ., 1987.