DOI: https://doi.org/10.15802/stp2015/55335

### METHOD OF THE DRIVE POWER DETERMINATION OF THE MECHANISMS OF THE BRIDGE CRANE MOVEMENT CONSIDERING THE ROLLING FRICTION

V. M. Bohomaz, L. M. Bondarenko, K. Ts. Hlavatskyi, K. O. Sokol

#### Abstract

Purpose. The value of drive resistance to its movement is the main parameter at calculating the drive power of bridge crane. The value of the wheel rolling friction on the rails is one of the important parts of the resistance to movement. It is necessary to determine the dependence of static (dynamic) quantities of resistance to the bridge crane movement on a straight section of the track from the position of the bogie in the span, and explore the influence of the wheel flanges resistance for wear. Methodology. Using the analytical dependences for determining the rolling friction coefficient, that depends on the size of the half-width of the contact between the wheel and rail, the improved method for calculating the required drive power of the crane was proposed. Findings. With the proposed method of power calculation the characteristic curve of the crane wheel loads, the coefficient of rolling friction of the wheels and the crane resistance to movement from the position of the bogie on span were built. In the result of graphs analysis it was found that the engine power, obtained by the proposed method is higher than the recommended by the existing standards. The more precise formula for determining the total coefficient of sliding friction that takes into account the friction of wheel flanges on the rail is given. The characteristic curves of such coefficient of friction and the total resistance to movement of the position of the crane bogie were built. Originality. The scientists proposed an improved method of determining the required engine power of bridge crane, which takes into account the effect of rolling friction of the wheels on the rails and the bogie in the span. The improved formula for determining the coefficient of friction that takes into account the friction wheel flanges of the rail was given. The characteristic curve of this coefficient of friction and the total resistance movement of crane from the position of the crane bogie were built. Practical value. The application of the proposed method of determining the driving power of the crane allows determining its value more precisely, taking into account the impedance of the rolling friction of the wheels on the rails with a flanged on the rails. This approach enables better selection of elements of the mechanism of the bridge crane movement.

#### Keywords

bridge crane; rolling friction; flange; power; drive; bogie

PDF (Русский)

#### References

Aleksandrov M.P. Podemno-transportnyye mashiny [Lifting-transport machines].Moscow, Moskovskiy gosudarstvennyy tekhnicheskiy universitet im. N. E. Baumana, Vysshaya shkola Publ., 2000. 522 p.

Balashov V.V. Razdelnyy privod peredvizheniya mostovykh kranov [Separate drive for the movement of overhead cranes].Moscow, VNIIPImash Publ., 1959. 36 p.

Bondarenko L.M., Hlavatskyi K.Ts. Vidnoshennia mizh tyskom rebord na reiku ta koefitsiientom oporu rukhu i hrupoiu klasyfikatsii krana [The ratio between the pressure flange on the rail and the coefficient of resistance movement and group classification crane]. Zbirnyk naukovykh prats Zaporizkoho natsionalnoho tekhnichnoho universytetu «Novi materialy v metalurhii ta mashynobuduvanni» [Proc. of theZaporizhzhyaNationalTechnicalUniversity «New materials in metallurgy and mechanical engineering»], 2001, no. 1, pp. 106-109.

Bondarenko L.M., Dovbnia M.P., Loveikin V.S. Deformatsiini opory v mashynakh [Deformation bearings in machines]. Dnipropetrovsk, Dnipro–VAL Publ., 2002. 200 p.

Dzhonson K. Mekhanika kontaktnogo vzaimodeystviya [Mechanics of contact interaction].Moscow, Mir Publ., 1989. 510 p.

Kovalskiy B.S. Voprosy peredvizheniya mostovykh kranov [The issues of bridge cranes movement]. Lugansk, VNU Publ., 2000. 63 p.

Raksha S.V., Horiachev Yu.K., Kuropiatnyk O.S. Analiz vplyvu pruzhnykh deformatsii nesuchoho kanata na zusyllia v tiahovomu kanati pidvisnoi dorohy [Influence analysis of elastic deformations of the track cable on efforts in the hauling rope of aerial ropeway]. Nauka ta prohres transportu. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu – Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport, 2013, no. 6 (48), pp. 110-119. doi: 10.15802/stp2013/19686.

Ivanchenko F.K., Bondarev V.S., Kolesnik N.P. Raschety gruzopodemnykh i transportiruyushchikh mashin [Calculations of lifting and transport machines]. Kyiv, Vyshcha shkola Publ., 1975. 520 p.

Pisarenko G.S., Yakovlev A.P., Matveyev V.V. Spravochnik po soprotivleniyu materialov [Handbook of structural resistance]. Kyiv, Naukova dumka Publ., 1975. 725 p.

Bondariev V.S., Dubynets O.I., Kolisnyk M.P. Pidiomno-transportni mashyny: rozrakhunky pidiimalnykh i transportuvalnykh mashyn [Lifting and transport machines: calculations of lifting and transporting machines]. Kyiv, Vyshcha shkola Publ., 2009. 734 p.

Aleksandrov M.P., Gokhberg M.M., Kovin A.A. Spravochnik po kranam [Handbook on cranes]. Leningrad, Mashinostroeniye Publ., 1988. 559 p.

Awrejcewicz J., Grzelczyk D. Modeling and analytical/numerical analysis of wear processes in a mechanical friction clutch. Intern. Journal of Bifurcation and Chaos, 2011, vol. 21, no. 10, pp. 2861-2869. doi: 10.1142/S0218127411030192.

Bažant Z.P., Cedolin L. Stability of Structures: Elastic, Inelastic, Failure and Damage Theories.Singapore, World Scientific Publ., 2010. 1040 p. doi: 10.1142/9789814317047.

Bohomaz V.M., Hlavatskyi K.TS., Mazur O.A. Research of influencing of project discriptions of elevator on parameters of its drive. Nauka ta prohres transportu. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu – Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport, 2015, no. 2 (56), pp. 189-206. doi: 10.15802/stp2015/42178.

Høye J.S., Brevik I. Casimir friction force for moving harmonic oscillators. Intern. Journal of Modern Physics: Conference Series, 2012, vol. 14, pp. 141-154. doi: 10.1142/S2010194512007295.

#### GOST Style Citations

1. Александров, М. П. Подъемно-транспортные машины : учебник / М. П. Александров. – Москва : МГТУ им. Н. Баумана : Высш. шк., 2000. – 522 с.
2. Балашов, В. В. Раздельный привод передвижения мостовых кранов / В. В. Балашов. – Москва : ВНИИПИмаш, 1959. – 36 с.
3. Бондаренко, Л. М. Відношення між тиском реборд на рейку та коефіцієнтом опору руху і групою класифікації крана / Л. М. Бондаренко, К. Ц. Главацький // Нові матеріали в металургії та машинобудуванні : зб. наук. пр. ЗТТУ. – 2001. – № 1. – С. 106–109.
4. Бондаренко, Л. М. Деформаційні опори в машинах / Л. М. Бондаренко, М. П. Довбня, В. С. Ловейкін. – Дніпропетровськ : Дніпро–VAL, 2002. – 200 с.
5. Джонсон, К. Механика контактного взаимодействия / К. Джонсон. – Москва : Мир, 1989. – 510 с.
6. Ковальский, Б. С. Вопросы передвижения мостовых кранов. – Луганск : ВНУ, 2000. – 63 с.
7. Ракша, С. В. Аналіз впливу пружних деформацій несучого каната на зусилля в тяговому канаті підвісної дороги / С. В. Ракша, Ю. К. Горячев, О. С. Куроп’ятник // Наука та прогрес трансп. Вісн. Дніпропетр. нац. ун-ту залізн. трансп. – 2013. – № 6 (48). – С. 110–119. doi: 10.15802/stp2013/19686.
8. Расчеты грузоподъемных и транспортирую-щих машин / Ф. К. Иванченко, В. С. Бондарев, Н. П. Колесник [и др.]. – Київ : Вища шк., 1975. – 520 с.
9. Писаренко, Г. С. Справочник по сопротивлению материалов / Г. С. Писаренко, А. П. Яковлев, В. В. Матвеев. – Київ : Наук. думка, 1975. – 725 с.
10. Підйомно-транспортні машини: розрахунки підіймальних і транспортувальних машин : підручник / В. С. Бондарєв, О. І. Дубинець, М. П. Колісник [та ін.]. – Київ : Вища шк., 2009. – 734 с.
11. Справочник по кранам. В 2 т. Т. 2 / М. П. Александров, М. М. Гохберг, А. А. Ковин [и др.]. – Ленинград : Машиностроение, 1988. – 559 с.
12. Awrejcewicz, J. Modeling and analytical/nu-merical analysis of wear processes in a mechanical friction clutch / J. AwrejcewiczD. Grzelczyk // Intern. J. of Bifurcation and Chaos. – 2011. – Vol. 21, № 10. – P. 2861–2869. doi: 10.1142/S0218-127411030192.
13. Bažant, Z. P. Stability of Structures: Elastic, Inelastic, Failure and Damage Theories / Z. P. Ba-žant, L. Cedolin. – Singapore: World Scientific, 2010. – 1040 p. doi: 10.1142/9789814317047.
14. Bohomaz, V. M. Research of influencing of project discriptions of elevator on parameters of its drive / V. М. Bohomaz, K. TS. Hlavatskyi, O. A. Mazur // Наука та прогрес трансп. Вісн. Дніпропетр. нац. ун-ту залізн. трансп. – 2015. – № 2 (56). – С. 189–206. doi: 10.15802/stp2015-/42178.
15. Høye, J. S. Casimir friction force for moving harmonic oscillators / J. S. HøyeI. Brevik // Intern. J. of Modern Physics : Conference Series. – 2012. – Vol. 14. – P. 141–154. doi: 10.1142/S20101945-12007295.

### Cited-by:

1. EFFECT OF RESISTANCE TO ROLLING ON THE DYNAMICS OF THE LIFTING MECHANISMS OF THE TRANSPORTING MAC
V. M. Bohomaz, L. M. Bondarenko, O. V. Bohomaz, M. G. Brylyova
Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport  Issue: 2(74)  First page: 124  Year: 2018
doi: 10.15802/stp2018/130441

2. THE RELATIONSHIP BETWEEN STIFFNESS LOSSES AND LOSSES IN BEARINGS OF ROPE BLOCKS
V. M. Bohomaz, L. M. Bondarenko, M. V. Ocheretniuk, O. O. Tkachov
Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport  Issue: 4(70)  First page: 71  Year: 2017
doi: 10.15802/stp2017/109453