关键词: 康托尔集, 接触热阻, 有限元分析

Abstract: When the disk of tie-bolted fastened rotor contact each other,the thermal contact resistance between the disk contact surfaces play a critical role in heat transfer and the distribution of temperature field.On the basis of the surface fractal characteristics,combining Mandelbrot-Tian(M-T) fractal network model and the classical conduction theory,the Cantor set,which is not dependent on the observation scale,is chosen to obtain the pressure and heat transfer coefficient of the relationship between contact surfaces.The condition of rotor transient temperature field distribution are obtained through determining the contact thermal resistance.Analysis found that the thermal conductivity caused by the pre-tightening force has a little influence on the transient temperature field,when the rotor dynamics analysis can ignore the influence of the transient temperature field.

Key words: Cantor set, thermal contact resistance, finite element method