摘要
本文以两端固定直角梁为例,探讨模态综合法应用于计算高阶固有频率。单纯使用前2阶约束振型为假设振型时,可能出现频率遗漏而不能计算第2阶固有频率。假设振型同时取前2阶模态振型和前2阶约束振型,可以计算前3阶固有频率;假设振型取前4阶模态振型和前4阶约束振型,可以计算前5阶固有频率,相对误差小于5%。
A right-angle beam with fixed both ends is treated as an example to investigate the application of the mode synthesis method for calculation of higher-order natural frequencies.If the first 2 constrained mode shapes serve as the assumed mode shapes,some frequencies may miss and thus the second-order natural frequency cannot be calculated.If the assumed mode shapes include both the first 2 modal shapes and the first 2 constrained mode shapes,the first 3 natural frequencies can be calculated;and the assumed mode shapes include both the first 4 modal modes and the first 4 constrained mode shapes,the first 5 order natural frequencies can be calculated with the relative errors less than 5%.
作者
赵楚楚
陈立群
ZHAO Chuchu;CHEN Liqun(School of Mechanics and Engineering Science,Shanghai University,Shanghai 200444,China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200444,China)
出处
《力学与实践》
北大核心
2022年第5期1179-1182,共4页
Mechanics in Engineering
关键词
振动
模态综合
固有频率
振型
vibration
mode synthesis
natural frequency
mode shape
作者简介
陈立群,教授,主要研究方向为振动控制和非线性动力学。E-mail:lqchen@shu.edu.cn。
