河南科技大学学报（自然科学版）2024，Vol.45Issue(1)：68-78,11.DOI:10.15926/j.cnki.issn1672-6871.2024.01.009
基于分数阶理论的两端固定杆热弹动力响应
Thermoelastic Dynamic Response of Rods Fixed at Both Ends based on Fractional Order Theory
摘要
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.关键词
Ezzat型分数阶广义热弹性理论/Green-Lindsay广义热弹性理论/温度相关性/杆Key words
Ezzat s fractional order generalized thermoelastic theory/Green-Lindsay generalized thermoelastic theory/temperature-dependent/rod分类
建筑与水利引用本文复制引用
郭颖,杜翠,马建军..基于分数阶理论的两端固定杆热弹动力响应[J].河南科技大学学报（自然科学版）,2024,45(1):68-78,11.基金项目
国家自然科学基金项目(11502072) （11502072）
河南省自然科学基金项目(222300420153) （222300420153）
2022河洛青年托举项目(2022HLTJZC10) （2022HLTJZC10）
河南省科技攻关项目(212102310055) （212102310055）
