-DIMENSIONAL FINITE ELEMENT FOR MODELLING THERMAL, ELASTIC AND THERMOELASTIC COMPONENTS IN THE COUPLED PROBLEM OF FRICTION UNITS THERMOELASTICHYDRODYNAMICS
Abstract and keywords
Abstract (English):
The scheme for the solution of the coupled problem of friction units thermoelastichydrodynamics is given. It is noticed that one of the main ways for decreasing labor input of the task solution may be the choice of the rational finite element providing decision accuracy at a big aspect ratio. Twenty-nodal three-dimensional finite element is chosen and in this finite element not only second order joint shape functions but also the third order out-of-node not joint shape functions are used. By using some test examples for temperature, elastic and thermoelastic problems the advantages of such quasi-joint finite elements in comparison with joint ones are shown.

Keywords:
friction units, problems of hermoe-lastichydrodynamics, temperature field, elastic defor-mations, thermoelastic deformations, finite element method, shape functions, approximating polynomial, test problems.
Text
Publication text (PDF): Read Download

References

1. Mishin A.V. Finite element method of calculation of dynamically loaded sleeve bearings with discrepancies from cylindrical working surface / A.V. Mishin, M.V. Zernin // Assembly in machine and instrument building. - 2008. - №. 2. - P. 43-54.

2. Zernin, M.V. Methodology for estimation of limiting extent of surface defects of sliding bearings based on the criterion of their influence on hydrodynamics parameters / M.V. Zernin, A.V. Mishin, N.N. Rybkin // Bulletin of Bryansk State Technical University. - 2013. - №. 3. - P. 14-23.

3. Rybkin, N.N. Techniques of estimation of hydrodynamics parameters of sliding bearings with the influence of the radial surface suppleness / N.N. Rybkin, M.V. Zernin // Bulletin of Bryansk State Technical University. - 201- №. 4. - P. 59-65

4. Computer program "Bearing Builder Finite Element Method" / A.V. Mishin, M.V. Zernin, N.N. Rybkin, S.M. Shalygo, V.V. Soprantsov. - №. 2014610341 registred in The Federal Service of Intellectual Property (Rospatent) 09.01.14

5. Zernin, M.V. Hydrodynamic analysis of friction bearings. Part 1: Consideration of №ncylindrical working surfaces / M.V. Zernin, A.V. Mishin, N.N. Rybkin, S.V. Shilko // Friction and wear. - 2014, T. 3- №. - pp. 584 - 595.

6. Booker, D.F. Application of the finite element method in lubricating theory: engineering approach / D.F. Booker, K.H. Hubner // TAOIM. Problems of friction and greasing. - 1972. - №. 4. - P. 22-33.

7. Genka, P.K. Dynamically loaded journal bearings. The finite element method calculation / P.K. Genka // TAOIM. Problems of friction and greasing. - 1984. - №. 4. - P. 10-20.

8. Shabrov, N.N. Finite element method in calculations of heat engines parts / N.N. Shabrov. - L.: Mechanical engineering, 1983. - 212 p.

9. Zenkevich, O. Finite elements and approximation: [transl. from English] / O. Zenkevich, K. Morgan. - M.: World, 1986.-318 p.

10. Makeev, E.G. Finite-element base for designing aircraft structures: Thesis for Can.Eng.Degree / E.G. Makeev. - Kuibyshev, 1989. - 20 p., I.V. Lavrov // Abrasives. - 1971. - №. 1. - P. 1-4.

11. Kutateladze, S.S. Reference Book on heat transfer / S.S. Kutateladze, V.M. Borishansky. - M; L.: State Energy Publishing House, 1958. - 417 p.

12. Boyarshi№v, S.V. Basics of machines structural mechanics / S.V. Boyarshi№v - M.: Mechanical engineering, 1973. - 456 p.

13. Matveev, N.P. Strained condition in case of cantilever bending in the shape of a parallelepiped / N.P. Matveev // Applied Mechanics. - 1974. - T. H, -№ 9. - P.257 - 264.

14. Lazaryan, V.A. Technical theory of a bend / V.A. Lazaryan. - Kiev: Naukova Dumka, 1976. - 297 p.

15. Tymoshenko, S.P. Elasticity theory: [transl. from English] / S.P. Tymoshenko, J. Gudyer. M.: Science, 1975. - 576 p.

Login or Create
* Forgot password?