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轴向运动Timoshenko梁自由振动的数值分析
引用本文:唐有绮,高佳明. 轴向运动Timoshenko梁自由振动的数值分析[J]. 上海应用技术学院学报:自然科学版, 2014, 14(3): 209-211
作者姓名:唐有绮  高佳明
作者单位:上海应用技术学院 机械工程学院;上海应用技术学院 机械工程学院
基金项目:国家自然科学基金青年基金资助项目(11202135);上海市青年教师培养基金资助项目(ZZyyy12035);上海应用技术学院引进人才基金资助项目(YJ2012-13);上海应用技术学院大学生科技创新项目(DCX2013-61)
摘    要:研究两端简支轴向运动Timoshenko梁的横向振动.利用微分求积方法研究耦合系统的前五阶固有频率随轴向速度变化的情况.数值算例表明网点数对固有频率的影响;通过微分求积法验证了复模态法得到的精确解析结果.

关 键 词:轴向运动Timoshenko梁  微分求积法  固有频率

Numerical Analysis of Free Vibration of Axially Moving Timoshenko Beams
Tang You-Qi and Gao Jia-Ming. Numerical Analysis of Free Vibration of Axially Moving Timoshenko Beams[J]. Journal of Shanghai Institute of Technology: Natural Science, 2014, 14(3): 209-211
Authors:Tang You-Qi and Gao Jia-Ming
Affiliation:School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 201418, China;School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 201418, China
Abstract:The transverse vibration of axially moving Timoshenko beams is investigated based on the boundary conditions for two edges simple supports. The coupled planar motion is analyzed by the differential quadrature scheme.The numerical examples show the first five natural frequencies are affected by the axially moving speed.The effects of the net-point number on the first five natural frequencies are discussed.The analytical results were confirmed by the numerical calculations .
Keywords:Axially moving Timoshenko beam  differential quadrature scheme  natural frequency
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