Thermoelastic Dynamic Response of Rods Fixed at Both Ends based on Fractional Order Theory
GUO Ying
DU Cui
MA Jianjun
Abstract：Based on Ezzat's fractional order generalized thermoelastic theory and Green-Lindsay generalized thermoelastic theory,the one-dimensional thermoelastic dynamic response issue of temperature-dependent rods fixed at both ends under the action of moving heat sources was studied by means of Laplace integral transform and its numerical inverse transform.The distribution of non-dimension displacement,stress and temperature along the x-direction was obtained.The effects of fractional order coefficient α,two different thermal relaxation time factors r0 and τ1,temperature correlation parameter v and moving heat source propagation velocity v on non-dimension displacement,stress and temperature were studied,respectively.The results show that fractional order coefficient α has obvious effects on the non-dimension physical quantities considered.The thermal relaxation time factor τ0 has significant influence on the other two physical quantities except non-dimension temperature,and the thermal relaxation time factor τ1 only has the most significant influence on non-dimension temperature.With the increase of temperature correlation parameter v and moving heat source propagation velocity v,every physical variables gradually decreases.
Keywords：Ezzat s fractional order generalized thermoelastic theoryGreen-Lindsay generalized thermoelastic theorytemperature-dependentrod
Publication Date：2024-02-25
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：11( 68-78 )