Calculation of the performance of a coulomb friction damper of a crown bevel gear wheel for different forms of resonant oscillations


Different designs of a Coulomb friction damper used to decrease the amplitude of bevel gear resonance oscillations and existing approaches to the modeling of variable-structure dry-friction systems are discussed in the paper. A parametric 3-d finite-element model of contact “bevel gear - plate damper” interaction has been developed. Natural frequencies of the system have been determined for different contact parameters. A set of amplitude-frequency curves of the “damper-wheel” system under consideration has been constructed for different values of damper pre-pressure. The work of the constraining force for the oscillation period has been calculated. By estimating the period-average number of sliding elements basic operating in the relative slip mode the principal modes of a Coulomb friction damper operation – with continuous and instant relative stops – are studied. The influence of the damper pre-pressure value on the relative amplitude of different forms of resonance oscillations is analyzed. A conclusion has been made on the basis of the calculation results that applying a Coulomb friction damper is an efficient way of reducing the amplitude of resonance oscillations of the bevel gear.

About the authors

E. V. Kozharinov

Central Institute of Aviation Motors named after P.I. Baranov, Moscow

Author for correspondence.

Russian Federation


J. M. Temis

Central Institute of Aviation Motors named after P.I. Baranov, Moscow


Russian Federation

Doctor of Science (Engineering), Professor

Head of Mathematical Modelling Department 


  1. Lopatin B.A., Tsukanov O.N. Tsilindro-konicheskie zubchatye peredachi [Cylindrical bevel gears]. Chelyabinsk: South-Uralian State University Publ., 2005. 200 p.
  2. Ivanov M.N. Detali mashin [Machine parts]. Мoscow: Vysshaya shkola Publ., 2000. 383 p.
  3. Gekker F.R., Temis J.M. Study of Coulomb friction damper operation. Proceedings of Higher Educational Institutions. Маchine Building. 1971. V. 2., no. 4. P. 18–24. (In Russ.)
  4. Matveev V.V. Dempfirovanie kolebaniy deformiruemykh tel [Damping of oscillations of deformable bodies]. Kiev: Naukova Dumka Publ., 1985. 263 p.
  5. Yakovkin V.N., Besschetnov V.A. The assessment of damping capacity of the disk-shaped damper for the conical gear of gearbox of gas-turbine engines. Trudy MAI. 2014. No. 76. Р. 6. (In Russ.)
  6. AGMA. AGMA 973-A12, Design Guidelines for Aerospace Gearing. 2012.
  7. ISO 10300-1 Calculation of load capacity of bevel. 2001.
  8. Biderman V.L. Teoriya mekhanicheskikh kolebaniy [Theory of mechanical oscillations]. Мoscow: Vysshaya shkola Publ, 1980. 408 p.
  9. Osnovy tribologii: uchebnik dlya tekhnicheskikh vuzov [Basics of tribology. Textbook for technical universities / edited by A.V. Chichinadze]. Мoscow: Mashinostroenie Publ., 2001. 575 p.
  10. Kragelskiy I.V., Mikhin N.M. Uzly treniya mashin [Friction joints of machines] Мoscow: Mashinostroenie Publ, 1984. 280 p.
  11. Timoshenko S.P. Kolebaniya v inzhenernom dele [Oscillations in engineering]. Мoscow: Gosudarstvennoe izdatel'stvo fiziko-matematicheskoy literatury Publ., 1959. 439 p.
  12. Gekker F.R. Dinamika mashin, rabotayushchikh bez smazochnykh materialov v uzlakh treniya [Dynamics of machinery operated without lubrication in friction units]. Мoscow: Mashinostroenie Publ., 1983. 167 p.
  13. Kozharinov E., Temis J. Simulation of accessory drives bevel gears dynamic conditions. Proceedings of the ASME 2014 Gas Turbine India Conference, GTINDIA2014-8139, 2014. gtindia2014-8139
  14. Birger I.A., Shorr B.F., Iosilevich G.B. Raschet na prochnost' detaley mashin [Srength calculation of machine parts]. Мoscow: Mashinostroenie Publ., 1993. 640 p. (In Russ.)



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