摘要
为了研究预应力对曲梁面内振动特性的影响,以自由振动状态下的曲梁微段为研究对象,考虑预应力对曲梁刚度的影响,推导了曲梁的面内振动偏微分方程,对方程进行求解并推求了简支曲梁面内振动一、二阶频率计算公式,算例分析结果表明所提计算公式正确。
In order to study the influences of prestress on the vibration characteristics of curved beams,the differential equation of the vibration of the prestressed curved beam considering the influence of the prestress was derived by analyzing the micro section of curved beam under the condition of free vibration.Then the formula for the first and second order natural frequency vibration of a prestressed circular curved beam was deduced by solving the equation.Finally,the result of example analysis proves that the formula is correct.
出处
《水利与建筑工程学报》
2016年第3期102-106,共5页
Journal of Water Resources and Architectural Engineering
基金
交通运输部建设科技项目(2013318791440)
重庆电大重点项目(ZD2015-02)
关键词
曲梁
振动特性
微分方程
轴向振动
curved beam
vibration characteristics
differential equation
axial vibration
