摘要
以能量原理为基础,在综合考虑了剪力滞后效应、剪切变形和转动惯量等因素影响的情况下,根据弯曲变形时竖向和轴向的位移关系,从理论上推导出了等截面薄壁连续箱形梁的弯曲振动方程和自然边界条件,并应用分离变量法求出了箱形连续梁固有频率方程的一般形式.作为算例,应用所推导出的动力特征方程并结合MATLAB软件对一连续的两跨、三跨及四跨薄壁箱形梁的多阶固有频率进行了计算,通过与一般梁理论和有限单元法计算结果的比较分析,证明了本文方法的有效性和正确性.
Based on the energy principle and considering effects of shearing lag, shearing deformation and rotational inertia, the bending vibration differential equations, natural boundary conditions and natural frequency equations of uniform continuous thin-walled box girder are presented. At last, using the MATLAB software, natural frequency of 2-span, 3-span and 4-span box girder is calculated. The computing results of examples are shown that the proposed method is effective and reliable.
出处
《兰州交通大学学报》
CAS
2004年第4期1-4,共4页
Journal of Lanzhou Jiaotong University
基金
甘肃省自然科学基金项目(ZS031 B25 007 G)
兰州交通大学"青蓝"人才工程基金资助项目
关键词
连续箱梁
动力特性
剪力滞后
剪切变形
转动惯量
continuous box beam
natural vibration characteristics
shearing lag effect
shearing deformation
rotational inertia
