Abstract
The propagation of stress waves in a column of rods of a rocker machine during a lift is considered at an arbitrary time instant. Using an integral transformation of time, the second-degree differential equation for displacement is solved where the force of the column dead weight is taken into account. It is shown that the stress variation is of a pulsating type; parameters and a form of the pulsation cycle are given. The fatigue strength of a thread in the union joint of rods and the lifetime of rods having an initial fracture are determined.
Similar content being viewed by others
References
Zharkova, N.V. and Nikitin, L.V., Applied Problems of Dynamics of Elastic Rods, Izv. RAN. Mekhanika tverdogo tela, 2006, no. 6, pp. 80–98.
Murav’ev, V.M., Spravochnik mastera po dobyche nefti (Handbook for Master on Oil Production), Moscow: Nedra, 1975.
Loitsyanskii, L.P., Mekhanika zhidkosti i gaza (Mechanics of Liquid and Gas), Moscow: Nauka, 1987.
Lavrent’ev, M.A. and Shabat, B.V., Metody teorii funktsii kompleksnogo peremennogo (Methods of Theory of Functions of Complex-Valued Variable), Moscow: Nauka, 1958.
Ditkin, V.A. and Prudnikov, A.P., Operatsionnoe ischislenie (Operational Calculus), Moscow: Vysshaya shkola, 1975.
Timoshenko, S.P. and Gud’er, Dzh., Teoriya uprugosti (Theory of Elasticity), Moscow: Nauka, 1975.
Birger, I.A., Raschet rez’bovykh soedinenii (Design of Screw Joints), Moscow: Oborongiz, 1959.
Serensen, S.V., Kogaev, V.P., and Shneiderovich, R.M., Nesushchaya sposobnost’ i raschety detalei mashin na prochnost’ (Carrying Capacity and Strength Analysis of Machine Parts), Moscow: Mashinostroenie, 1975.
Troshchenko, V.T. and Sosnovskii, L.A., Soprotivlenie ustalosti metallov i splavov. (Fatigue Resistance of Metals and Alloys), Kiev: Naukova Dumka, 1987, part 1.
Spravochnik po koefficientam intensivnosti napryazhenii (Handbook in Coefficients of Intensity of Stresses), Murakami, Yu., Ed., vol. 1, Moscow: Mir, 1990.
Additional information
Original Russian Text © R.G. Yakupov, 2009, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2009, No. 1, pp. 47–52.
About this article
Cite this article
Yakupov, R.G. Wave processes in column rods of a rocker machine. J. Mach. Manuf. Reliab. 38, 38–43 (2009). https://doi.org/10.3103/S1052618809010087
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1052618809010087