应用数学和力学2026，Vol.47Issue(8)：1086-1092,7.DOI:10.21656/1000-0887.460039
修正轴向移动Timoshenko梁的自由振动
Free Vibration of Modified Axially Moving Timoshenko Beams
摘要
Abstract
The rotational inertia caused by the shear effect was considered,and a modified axial motion Timo-shenko beam model was established under Newton's 2nd law in the material coordinate system.The natural frequencies of the system were solved,and the laws of the natural frequencies changing with parameters such as the beam length,the beam height and the axial velocity,were analyzed.The results obtained by this model were compared with those by the traditional axially moving Euler-Bernoulli beam theoretical model,the axially moving Rayleigh beam theoretical model and the axially moving Timoshenko beam theoretical model.The re-sults show that,when the length-to-height ratio of the axially moving beam is greater than 10,the results ob-tained by the 4 models are consistent.When the length-to-height ratio is relatively small,the present results are basically consistent with those by the classical axially moving Timoshenko beam model.In addition,the rota-tional inertia caused by the shear effect has a greater impact on higher-order frequencies.Therefore,the influ-ence of the moment of inertia due to the shear effect shall be considered in the dynamic analysis of axially mov-ing beams.关键词
修正Timoshenko梁/剪切效应/转动惯量/自由振动/固有频率Key words
modified Timoshenko beam/shear effect/moment of inertia/free vibration/natural frequency分类
数理科学引用本文复制引用
梁晋涛,王则,郭江源,张延超..修正轴向移动Timoshenko梁的自由振动[J].应用数学和力学,2026,47(8):1086-1092,7.基金项目
山西省博士生启动基金(20222062) （20222062）
山西省基础研究计划(202203021212303) （202203021212303）
