TRANSIENT THERMOELASTIC ANALYSIS OF DISK BRAKE USING THE FAST FOURIER TRANSFORM AND FINITE ELEMENT METHOD

This article introduces a finite element method that combines the fast Fourier transform technique and a conventional finite element method as a computational technique for investigating a thermomechanical problem. The conventional finite element formulation is very inefficient in the analysis of a three-dimensional disk brake model of a rotating axisymmetric disk subjected to a nonaxisymmetric transient heat flux condition due to frictional contact with asymmetric pads fixed in space. Because the proposed technique reduces the three-dimensional disk brake mathematics to two dimensions, is an extreme time saver, and costs less, we can solve the transient thermoelastic problem and the thermoelastic instability. As a result of the study we present some analyses on temperature distributions and displacement distributions in a disk brake system at a low speed and on the hot spots at a high speed above critical speed.

[1]  J. Akin.  Application and Implementation of Finite Element Methods , 1982 .

[2]  Prasanta K. Banerjee,et al.  Generalized axisymmetric elastodynamic analysis by boundary element method , 1990 .

[3]  Han-Taw Chen,et al.  Radial axisymmetric transient heat conduction in composite hollow cylinders with variable thermal conductivity , 1992 .

[4]  W. Cheng-I,et al.  Thermal fracture of an infinite cylinder composed of two materials with and without interfacial thermal resistance , 1993 .

[5]  Y. Mengi,et al.  ON THE USE OF FFT ALGORITHM FOR THE CIRCUMFERENTIAL CO-ORDINATE IN BOUNDARY ELEMENT FORMULATION OF AXISYMMETRIC PROBLEMS , 1997 .

[6]  Chongdu Cho,et al.  Thermo-elastic analysis for chattering phenomenon of automotive disk brake , 2001 .

[7]  F. E. Kennedy,et al.  Improved techniques for finite element analysis of sliding surface temperatures , 1984 .

[8]  R. A. Knapp,et al.  Hot spotting in automotive friction systems , 1990 .

[9]  Kwangjin Lee,et al.  Frictionally Excited Thermoelastic Instability in Automotive Drum Brakes , 1993 .

[10]  R. A. Burton,et al.  Thermoelastic instability of sliding contact in the absence of wear , 1972 .

[11]  Masahiro Kubota,et al.  A Study of the Mechanism Causing High-Speed Brake Judder , 1998 .

[12]  A. Floquet,et al.  Nonaxisymmetric Effects for Three-Dimensional Analysis of a Brake , 1994 .

[13]  J. W. Fash,et al.  Effect of Geometry on Thermoelastic Instability in Disk Brakes and Clutches , 1999 .

[14]  Kwangjin Lee,et al.  An Experimental Investigation of Frictionally-Excited Thermoelastic Instability in Automotive Disk Brakes Under a Drag Brake Application , 1994 .

[15]  Peter D. Welch,et al.  The Fast Fourier Transform and Its Applications , 1969 .

[16]  Harald Abendroth.  A new approach to brake testing , 1985 .

[17]  Ronggang Zhang.  Stability of thermoelastic contact. , 1990 .

[18]  Gregory M. Hulbert,et al.  FINITE ELEMENT ANALYSIS OF FRICTIONALLY EXCITED THERMOELASTIC INSTABILITY , 1997 .

[19]  J. Barber.  Instability of Thermoelastic Contact , 2002 .

[20]  R. A. Burton.  Thermal deformation in frictionally heated contact , 1980 .

[21]  A. Floquet,et al.  Realistic Braking Operation Simulation of Ventilated Disk Brakes , 1996 .

[22]  D. Polyzos,et al.  An advanced boundary element/fast Fourier transform axisymmetric formulation for acoustic radiation and wave scattering problems , 1999 .

[23]  B. Villechaise,et al.  Thermomechanical Behavior of Multilayered Media: Results , 1990 .

[24]  M. Comninou,et al.  On the Barber Boundary Conditions for Thermoelastic Contact , 1979 .

[25]  James Barber.  Contact problems involving a cooled punch , 1978 .