On the Calculation of the Dynamics of a Circular Saw of the Robotic Woodworking Assembly
Authors: Karpachev A.Yu., Voyakin А.S. | Published: 24.12.2018 |
Published in issue: #12(705)/2018 | |
Category: Mechanical Engineering and Machine Science | Chapter: Technology and Equipment for Mechanical and Physico-Technical Processing | |
Keywords: circular saw, saw blade, translatory rotational speed, Coriolis acceleration |
Improving the performance of automated material processing processes requires the study of the dynamics of the robotic system elements. Designing such a system is associated with the difficulty of justifying the choice of acceptable characteristics that provide the required efficiency. For woodworking machines equipped with robotic units it is important to determine the rational kinematic modes for using circular saws that make complex rotational motions. This is done by analyzing the behavior of a thin elastic disk, the relative and translatory rotation of which occurs around intersecting axes. In doing so, a connection between variable stresses in the disk and the kinematic characteristics of motion is established. The results of the study provide an opportunity to impose restrictions on the translatory rotational speed of the circular saw at the maximum allowable cutting speed (processing) of the material.
References
[1] Kolesnikov K.S. Kurs teoreticheskoy mekhaniki [The course of theoretical mechanics]. Moscow, Bauman Press, 2017. 580 p.
[2] Feodos’yev V.I. Soprotivleniye materialov [Strength of materials]. Moscow, Bauman Press, 2007. 590 p.
[3] Stakhiyev Yu.M. Rabotosposobnost’ ploskikh kruglykh pil [The efficiency of flat circular saws]. Moscow, Lesnaya promyshlennost’ publ., 1989. 384 p.
[4] Kovalenko A.D. Kruglyye plastiny peremennoy tolshchiny [Round plates of variable thickness]. Moscow, Fizmatgiz publ., 1959. 295 p.
[5] Karpachev A.Yu. On the deformation of an elastic thin disc at spherical motion. Engineering journal: science and innovation, 2012, no. 7(7), p. 22, (in Russ.), doi: 10.18698/2308-6033-2012-7-294
[6] Karpachev A.Yu. Study of forge-rolling influence on dynamic characteristics of ring saws and mills. Vestnik Mashinostroeniya, 2007, no. 12, pp. 42–47 (in Russ.).
[7] Karpachev A.Yu. Behavior of one-dimensional and two-dimensional models in spherical motion. Fundamental’nye i prikladnye zadachi mekhaniki. Tez. dokl. Mezhdunar. nauch. konf. [International scientific conference Fundamental and Applied Problems of Mechanics]. Moscow, Bauman Press, 2017, pp. 19–20 (in Russ.).
[8] Dem’yanushko I.V., Birger I.A. Raschet na prochnost’ vrashchayushchikhsya diskov [Strength calculation of rotating discs]. Moscow, Mashinostroyeniye publ., 1978. 247 p.
[9] Biderman V.L. Mekhanika tonkostennykh konstruktsiy. Statika [Mechanics of thin-walled structures. Statics]. Moscow, Mashinostroyeniye publ., 1977. 488 p.
[10] Karpachev A.Yu. Own dynamic characteristics of rotating circular saws under uneven heating. Vestnik Mashinostroeniya, 2006, no. 5, pp. 32–36 (in Russ.).
[11] Karpachev A.Yu. Sozdanie raschetnyh metodov povysheniya ekspluatatsionnyh harakteristik diskov rezhushchih instrumentov. Dokt. diss. [Creation of design methods to improve the performance of cutting tool discs. Doct. Diss.]. Moscow, Bauman Press, 2015. 277 p.
[12] Biderman V.L. Teoriya mekhanicheskikh kolebaniy [The theory of mechanical vibrations]. Moscow, Vysshaya shkola publ., 1980. 408 p.
[13] Karpachev A.Yu. The problem of eigenvalues in advanced design technologies of cutting blades. Science intensive technologies, 2001, no. 3, vol. 2, pp. 52–57 (in Russ.).
[14] McCracken D.D., Dorn W.S. Numerical methods and FORTRAN programming. New York, Wiley, 1965. 509 p. (Russ. ed.: Mak-Kraken D., Dorn U. Chislennyye metody i programmirovaniye na Fortrane. Moscow, Mir publ., 1977. 584 p.).
[15] D’yakonov V.P. Spravochnik po algoritmam i programmam na yazyke beysik dlya personal’nykh EVM [Reference book on algorithms and programs in basic for personal computers]. Moscow, Nauka. Gl. red. fiz.-mat. lit. publ., 1987. 240 p.
[16] Collins J.A. Failure of materials in mechanical design: analysis, prediction, prevention. New York, Wiley, 1993. 672 p. (Russ. ed.: Kollinz Dzh. Povrezhdeniye materialov v konstruktsiyakh. Analiz, predskazaniye, predotvrashcheniye. Moscow, Mir publ., 1984. 624 p.).