Numerical analysis of the coupling between frictionally excited thermoelastic instability and thermal buckling in automotive clutches

Abstract

The coupling between thermal buckling and thermoelastic instability in clutch disks is investigated using a series of finite element analyses. The temperature distributions are first obtained from the eigenmodes based on the classical thermoelastic instability analyses. The critical buckling temperatures along with the buckling deformation modes of the clutch disk under prescribed temperature fields are subsequently computed using the commercial finite element software ABAQUS. The effects of multiple parameters including sliding speed, coefficient of friction and boundary conditions have been investigated. It is concluded that there exists a strong coupling between thermoelastic instability and thermal buckling, and that the thermoelastic instability induced unstable temperature modes can significantly alter the input temperature profiles for thermal buckling, and thus the critical buckling temperatures. In addition to the effects of axisymmetric thermoelastic instability modes (i.e. banding modes), thermal buckling induced by the nonaxisymmetric thermoelastic instability modes (i.e. focal hot spots) is also tentatively studied.

Keywords

Finite element method thermal buckling thermoelastic instability automotive multi-disk clutch

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References

Audebert

Barber

Zagrodzki

. Buckling of automatic transmission clutch plates due to thermoelastic/plastic residual stresses. J Therm Stress 1998; 21: 309–326.

Yi YB. Thermoelastic instabilities in automotive disk brakes and clutches. PhD Dissertation, University of Michigan, USA, 2001.

Burton

Nerlikar

Kilaparti

. Thermoelastic instability in a seal-like configuration. Wear 1973; 24: 177–188.

Lee

Barber

. Frictionally excited thermoelastic instability in automotive disk brakes. J Tribol 1993; 115: 607–614.

Barber

. Thermoelastic instabilities in the sliding of conforming solids. Proc Roy Soc Lond Ser A 1969; 312: 381–394.

Decuzzi

Ciaverella

Monno

. Frictionally excited thermoelastic instability in multi-disk clutches and brakes. J Tribol 2001; 123: 865–871.

Zagrodzki

Barber

et al.

Finite element analysis of frictionally excited thermoelastic instability. J Therm Stress 1997; 20: 185–201.

Barber

et al.

Effect of geometry on thermoelastic instability in disk brakes and clutches. J Tribol 1999; 121: 661–666.

Barber

Zagrodzki

. Eigenvalue solution of thermoelastic instability problems using Fourier reduction. Proc Roy Soc Lond Ser A 2000; 456: 2799–2821.

10.

Zagrodzki

Lam

Bahkali

et al.

Nonlinear transient behavior of a sliding system with frictionally excited thermoelastic instability. J Tribol 2001; 123: 699–708.

11.

Jang

Ahn

. Frictionally-excited thermoelastic instability in functionally graded material. Wear 2007; 262: 1102–1112.

12.

Zhao

. Effects of frictional material properties on thermoelastic instability deformation modes. Proc IMechE, Part J: J Engineering Tribology 2015; 229: 1239–1246.

13.

Zagrodzki

. Numerical analysis of temperature fields and thermal stresses in the friction discs of a multidisc wet clutch. Wear 1985; 101: 255–271.

14.

Tauchert

. Thermally induced flexure, buckling, and vibration of plates. Appl Mech Rev 1991; 44: 347–360.

15.

Thornton

. Thermal buckling of plates and shells. Appl Mech Rev 1993; 46: 485–506.

16.

Timoshenko

Gere

. Theory of elastic stability, 2nd ed. New York: Dover Publications, 1961, pp. 278–278.

17.

Ma C. Thermal buckling of automotive brake discs. PhD Dissertation, University of Michigan, USA, 2004.

18.

Najafizadeh

Hedayati

. Refined theory for thermoelastic stability of functionally graded circular plates. J Therm Stress 2004; 27: 857–880.

19.

Najafizadeh

Heydari

. Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory. Eur J Mech A Solids 2004; 23: 1085–1100.

20.

Zhang

Zhao

. Nonlinear thermomechanical post-buckling of circular FGM plate with geometric imperfection. Thin-Walled Struct 2007; 45: 528–536.

21.

Wang

. Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings. Int J Solids Struct 2003; 40: 3311–3330.

22.

Sepahi

Forouzan

Malekzadeh

. Thermal buckling and postbuckling analysis of functionally graded annular plates with temperature-dependent material properties. Mater Des 2011; 32: 4030–4041.

23.

Ghiasian

Kiani

Sadighi

et al.

Thermal buckling of shear deformable temperature dependent circular/annular FGM plates. Int J Mech Sci 2014; 81: 137–148.

24.

Yang H. Finite element analysis of thermal buckling in automotive clutch and brake discs. Master Thesis, University of Denver, USA, 2015.

25.

Zhao

Chen

Yang

et al.

Finite element analysis of thermal buckling in automotive clutch plates. J Therm Stress 2016; 39: 77–89.

26.

Xiong

et al.

Experimental study and thermal analysis on the buckling of friction components in multi-disc clutch. J Therm Stress 2015; 38: 1323–1343.

27.

Yi YB and Barber JR. HotSpotter: A windows-based software package for solving thermoelastic instabilities in high-speed sliding systems. The Regents of the University of Michigan, License No.1867, 2001.

28.

Abaqus Software(c). User’s manual 6.9. Providence, RI: ABACUS, 2009.

29.

Cook

Malkus

Plesha

et al.

Concepts and applications of finite element analysis, 4th ed. New York: Wiley, 2002, pp. 639–639.