On the issue of limiting the irregular motion of a technological machine within specified limits

OBRABOTKAMETALLOV Vol. 23 No. 3 2021 MATERIAL SCIENCE EQUIPMENT. INSTRUMENTS 4 2 2 Conclusion A methodology for determining the rotation irregularity ratio of the modifi ed shaft of food machinery, which has an epicyclic gearing with a rocker arm in the drive of kneading shafts is presented, including: – the mathematical model of the mechanism that allows calculating the speed of the modifi ed shaft. Thus, for the case under consideration, the irregular rotation of the modifi ed shaft was (11) 0.085 with a maximum rotation speed equal to ωmax = 145·s –1 and a minimum speed equal to ω min = 133.2 s –1, while the rotation irregularity ratio of the modifi ed shaft was δ = 0,101; – the prospect of improving the dynamic characteristics of the machine by decreasing the irregularity ratio due to an additional fl ywheel mass placed on the modifi ed shaft. Thus, introducing an additional moment of mass inertia up to 0.177 kg·m2 brings its value to 0.06, which meets the requirements for this type of machine; – the nature and value of the change in the technological and inertial loads acting on the working shafts of the device are determined; the values and nature are presented, taking into account its reduction to the main (modifi ed) shaft of the machine; – the maximum values of the total moment of the useful resistance were 44–47 N·m, the minimum were 22–24 N·m; it depends on the rotation angle of the kneading shaft blades; – the pattern of changes in moments from the inertia and technological resistance is determined, which can be expressed by the following general dependence: ( ) 24 12 cos(2 / 16 ). c M     References 1. Hsieh J.-F. Design and analysis of indexing cam mechanism with parallel axes. Mechanism and Machine Theory, 2014, vol. 81, pp. 155–165. DOI: 10.1016/j.mechmachtheory.2014.07.004. 2. Eckhardt H.D. Kinematic design of machines and mechanisms. 1st еd. New York, McGraw-Hill, 1998. 620 p. ISBN: 0070189536. ISBN: 978-0070189539. 3. Myszka D.H. Machines and mechanisms: applied kinematic analysis. 4th ed. Pearson, 2012. 576 p. ISBN: 0-13-215780-2. ISBN: 978-0-13-215780-3. 4. Rao J.S., Dukkipati R.V. Mechanism and machine theory. 2nd ed. New Delhi, New Age International, 2008. 600 p. ISBN: 812240426X. ISBN: 978-8122404265. 5. ZhuB., ZhangX., ZhangH., Liang J., ZangH., Li H.,WangR. Design of compliant mechanisms using continuum topology optimization: a review. Mechanism and Machine Theory, 2012, vol. 143, p. 103622. DOI: 10.1016/j. mechmachtheory.2019.103622. 6. Youssef H.A., El-Hofy H. Machining technology: machine tools and operations. Hoboken, Taylor & Francis Group, 2008. 672 p. ISBN 9781420043396. 7. Shabana A.A. Dynamic of multibody systems. 4th ed. Cambridge, Cambridge University Press, 2013. 393 p. ISBN: 978-1107042650. ISBN: 1107042658. 8. ErdmanA.G., Sandor G.N. Mechanism design: analysis and synthesis. 4th ed. Upper Saddle River, NJ, Pearson, 2001. 688 p. ISBN: 0130408727. ISBN: 978-0130408723. 9. Kolovsky M.Z., Evgrafov A.N., Semenov Yu.A., Slousch A.V. Advanced theory of mechanisms and machines. 1st ed. Berlin, Heidelberg, Springer-Verlag, 2000. 396 p. Foundations of Engineering Mechanics. ISBN: 978-3-64253672-4. eISBN: 978-3-540-46516-4. DOI: 10.1007/978-3-540-46516-4. 10. Astashev V.K., Babitsky V.I., Kolovsky M.Z. Dynamics and control of machines. 1st ed. Berlin, Heidelberg, Springer-Verlag, 2000. 235 p. ISBN: 978-3-642-53698-4. eISBN: 978-3-540-69634-6. DOI: 10.1007/978-3-54069634-6. 11. Hendrickson C.T., Janson B.N. A common network fl ow formulation for several civil engineering problems. Civil Engineering Systems, 1984, vol. 1, iss. 4, pp. 195–203. DOI: 10.1080/02630258408970343. 12. Battarra M., Mucchi E. Analytical determination of the vane radial loads in balanced vane pumps. Mechanism and Machine Theory, 2020, vol. 154, p. 104037. DOI: 10.1016/j.mechmachtheory.2020.104037. 13. Neugebauera R., Denkena B., Wegener K. Mechatronic systems for machine tools. CIRP Annals, 2007, vol. 56, iss. 2, pp. 657–686. DOI: 10.1016/j.cirp.2007.10.007.

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