Three-dimensional Computer Modeling in Teaching «Theory of Mechanisms and Machines» Discipline

The paper presents an efficient method for teaching students the «Theory of Mechanisms and Machines» (TMM). The method is based on a three dimensional computer modeling of complex models. It is aimed at the best comprehensibility of the discipline, popularization and dissemination of scientific knowledge with an increasing effect in case of open access to 3D-documents hosted on the Internet network. The 3rd course students during their study at the «Theory of Mechanisms and Machines» Department at the Bauman Moscow State Technical University investigated a 3D-model called the «Ferguson’s planetary train No. 9, which represents a part of a scaled copy of the Solar system model called the Orrery. The original model was created in the 18th  century by a Scottish astronomer – James Ferguson to illustrate the direct motion of the Moon’s apogee and the retrograde motion of its nodes. The main feature of «Ferguson’s planetary train» No. 9 from the Russian collection at the Bauman University is that rotational motion  of the mechanism input link is converted into the translational motion of the output link («Ferguson’s Paradox»). To study and to explain such an unusual movement of the mentioned mechanism, the students were required to show advanced knowledge in the field of the TMM and the History of Technics, combined with the skills of 3D-modeling technology.  New educational technologies based on the use of multimedia and 3D-modeling  can be usedto support students’ research work, develop spatial thinking and the creative imagination of the future engineers.

References

[1] Evgrafov A., Egorova O., Khisamov A. Experience of Modernization of the Curriculum TMM in St. Petersburg State Polytechnical University. New Trends in Educational Activity in the Field of Mechanism and Machine Theory. Springer, 2014, vol. 19, pp. 239–247.

[2] Uicker J.J., Pennock G.R., Shigley J.E. Theory of Machines and Mechanisms. Oxford University Press, 2011, 2011. 928 p.

[3] Ceccarelli M. Evolution of TMM (Theory of Machines and Mechanisms) to MMS (Machine and Mechanism Science): An Illustration Survey. Proc. of 11th IFToMM World Congress, Tianjin (PR China), 2004, vol. 1, pp. 13-24.

[4] Timofeev G.A. Teoriia mekhanizmov i mashin [Theory of Mechanisms and Machines]. Moscow, Iurait publ., 2010. 351 p.

[5] Leonov I.V., Leonov D.I., Pavlov B.I., Egorova O.V. Primenenie sistemy MathCAD v kursovom proektirovanii po teorii mekhanizmov i mashin [Application of MathCAD in course design on the theory of mechanisms and machines]. Moscow, Bauman Press, 2012. 49 p.

[6] Golovin A., Tarabarin V. Russian Models from the Mechanisms Collection of Bauman University. Springer, 2008. 261 p.

[7] Histoire du musee. Available at: http://www.arts-et-metiers.net/musee/histoire-du-musee (accessed 10 February 2015).

[8] Egorova O.V., Timofeev G.A. Avgustin de Betankur – odin iz osnovopolozhnikov vysshego inzhenerno-tekhnicheskogo obrazovaniia v Rossii [Agustin de Betancourt – One of Founders of Higher Engineering Education in Russia]. Vestnik MGTU im. N.E. Baumana. Ser. Mashinostroenie [Herald of the Bauman Moscow State Technical University. Mechanical Engineering]. 2010, no. 1(78), pp. 115–124.

[9] Egorova O.V., Moiseev A.N. Po sledam «russkogo ispantsa» [In the footsteps of «Russian Spaniard»]. Mezhdunarodnaia zhizn’ [International affairs: a Russian journal of world politics, diplomacy and international relations]. 2011, no. 10, pp. 120–140.

[10] Egorova O. Agustin de Betancourt. Secretos cubanos de un ingeniero hispano-ruso (in Spanish). Ediciones Abril, La Habana (Cuba), 2010. 128 p.

[11] Fedorov I.B., Pavlikhin G.P. Moskovskii gosudarstvennyi tekhnicheskii universitet imeni N.E. Baumana. 175 let [Bauman Moscow State Technical University. 175 years]. Moscow, Bauman Press, 2005. 352 p.

[12] James Ferguson (1710–1776). Available at: http://en.academic.ru/dic.nsf/enwiki/962220 (accessed 1 Mach 2015).

[13] James Ferguson (Scottish astronomer). Available at: http://en.wikipedia.org/wiki/James_Ferguson_(Scottish_astronomer) (accessed 20 February 2015).

[14] James Ferguson’s Mechanical Paradox Orrery. Available at: http://armstrongmetalcrafts.com/Products/ParadoxOrrery.aspx (accessed 10 February 2015).

[15] Sun and planet gear. Available at: http://en.wikipedia.org/wiki/Sun_and_planet_gear (accessed 1 Mach 2015).

[16] Explanation of Ferguson’s Paradox. Available at: http://www.mekanizmalar.com/fergusons_paradox.html (accessed 25 February 2015).

[17] Autodesk 3ds Max Design 2014 (Version 16.0). Available at: http://www.seedoff.net/torrent/78777-autodesk-3ds-max-design-2014 (accessed 1 Mach 2015).

[18] Available at: http://www.kakprosto.ru/kak-53090-kak-nauchitsya-rabotat-v-autocad#ixzz3X51Qylud (accessed 1 Mach 2015).

[19] Autodesk 3ds Max. Available at: https://ru.wikipedia.org/wiki/Autodesk_3ds_Max (accessed 1 Mach 2015).

[20] [Brekalov V.G., Terekhova N.Iu., Safin D.Iu. Primenenie tekhnologii trekhmernogo prototipirovaniia v obrazovatel’nom protsesse [The use of three-dimensional prototyping technology in the educational process]. Dizain i tekhnologii [Design and technology]. 2012, no. 29(71), pp. 118–123.