A fast and effective method for transient thermoelastic displacement analyses

被引:16
|
作者
Liu, SB [1 ]
Rodgers, MJ [1 ]
Wang, Q [1 ]
Keer, LM [1 ]
机构
[1] Northwestern Univ, Ctr Surface Engn & Tribol, Evanston, IL 60208 USA
来源
JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME | 2001年 / 123卷 / 03期
关键词
D O I
10.1115/1.1308010
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Frictional heating due to the relative motion of contacting surfaces causes temperature rise and thermal distortion, which in turn affects the contact geometry and pressure distribution. A fast and effective method is presented for the calculation of the normal surface displacement of an elastic halfspace due to arbitrary transient surface heating. The method uses Fourier-transformed Green's functions (frequency response functions), found in the closed form by using the approach of Seo and Mura and the heat conduction analyses of Carslaw and Jaeger. The frequency response functions are shown analytically to be the frequency domain representations of the Green's functions given by Barber. The formulation for the surface normal displacement is in the form of three-dimensional convolution integrals (over surface and rime) of the arbitrary transient heat flux and the Green's functions. Fourier transforms of these convolution integrals are taken, avoiding the Green's-function singularities and giving a simple multiplication bmt een the transformed heat flux and the (known) frequency response functions. The discrete convolution-fast Fourier transform (DC-FFT) algorithm is applied for accurate and efficient calculations of the normal surface displacement from the frequency response functions for an arbitrary transient heat input. The combination of the frequency-domain formulation and the DC-FFT algorithm makes the solution of transient thermoelastic deformation extremely fast and convenient.
引用
收藏
页码:479 / 485
页数:7
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