Abstract
A method is proposed for the analytical calculation of the elastic displacement of a shaft relative to a bush in joints with interference under the action of radial force and a bending torque. Those displacements are associated with elastic deformation of the shaft, the bush, and the contact layer formed by their rough surfaces. On the basis of that approach, a method is proposed for estimating the lower eigenfrequency of the shaft–bush system. As an example, the thermal fitting of an axial tool in a mandrel is considered.
Similar content being viewed by others
REFERENCES
Zakharov, M.N., Prochnostnaya nadezhnost’ oborudovaniya: uchebnoe posobie (Strength Reliability of Equipment: Manual), Moscow: Mosk. Gos. Tekh. Univ. im. N.E. Baumana, 2011.
Chernyanskii, P.M., Osnovy proektirovaniya tochnykh stankov. Teoriya i raschet: uchebnoe posobie dlya vuzov (Fundamentals of Design of Precise Machines. Theory and Calculations: Manual for Higher Education Institutions), Moscow: Knorus, 2010.
Birger, I.A. and Mavlyutov, M.M., Soprotivlenie materialov (Strength of Materials), Moscow: Nauka, 1986.
Ivanov, A.S., Contact rigidity of fixed joints of machine parts, Extended Abstract of Doctoral (Eng.) Dissertation, Moscow, 2006.
Levina, Z.M., Issledovanie i raschet kontaktnoi zhestkosti: Metodicheskie ukazaniya (Research and Calculation of Contact Rigidity: Methodological Guide), Moscow: ENIMS, 1969.
Reshetov, D.N. and Levina, Z.M., Calculation of contact rigidity in machine engineering, in Voprosy prochnosti materialov i konstruktsii (Strength of Materials and Constructions), Moscow: Akad. Nauk SSSR, 1959, pp. 375–392.
Häusler, N., Zum Mechanismus der Biegemomentubertragung in Schrumpfverbindungen, Konstruktion, 1976, vol. 28, no. 3, pp. 103–108.
Ermolaev, M.M., Calculation of fixed joints of machine parts taking into account the contact compliance layer, Extended Abstract of Cand. Sci. (Eng.) Dissertation, Moscow, 2015.
Ivanov, A.S. and Popov, B.A., Calculation of the connection with interference taking into account the contact rigidity of the conjugating surfaces, Vestn. Mashinostr., 2005, no. 4, pp. 31–36.
ACKNOWLEDGMENTS
Financial support was provided by the Russian Ministry of Education and Science (contract 14.577.21.0128, identifier RFMEFI 57714X0128).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by Bernard Gilbert
About this article
Cite this article
Ermolaev, M.M., Rudnev, S.K. & Bykov, P.A. Mill Eigenfrequency in Thermal Fitting. Russ. Engin. Res. 38, 916–920 (2018). https://doi.org/10.3103/S1068798X18120353
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068798X18120353