摘要
该文建立圆弧形曲梁裂纹的截面损伤缺陷比拟方案,实施微裂纹损伤诱发截面弱化,实现多裂纹深度、位置、数目的模拟。引入变截面Timoshenko梁的h型有限元网格自适应分析方法,求解含裂纹损伤圆弧曲梁自由振动问题,得到优化的网格和满足预设误差限的高精度自振频率和振型解答,研究多裂纹损伤对圆弧曲梁振型的扰动行为。数值算例表明,该算法中网格非均匀加密可适应裂纹损伤引起的振型变化,应用于各类曲梁夹角和裂纹损伤分布工况下的自由振动研究,定量分析了多裂纹损伤深度、数目、分布对圆弧曲梁自振频率和振型的扰动影响,检验了该文算法的精确性和实用性。
The scheme for the cross-section damage defects in a circularly curved beam is established to simulate the depth,the location and the number of multiple cracks,through implementing cross-section reduction induced by microcrack damage.The h-version adaptive finite element method of a variable cross-section Timoshenko beam is introduced to solve the free vibration of a circularly curved beam with cracks damage.Using the proposed method,the final optimized meshes and high-precision solution of natural frequency and mode shape satisfying the preset error tolerance can be obtained,and the disturbance behavior of multi crack damage on the vibration mode of a circularly curved beam is studied.Numerical examples show that the non-uniform mesh refinement can adapt to the change of mode of vibration induced by crack damage,which is applied to the free vibration research of various circularly curved beams with included angles and crack damage distribution conditions.Furthermore,the influences of crack damage depth,crack damage number,and crack damage distribution on the natural frequency and mode of vibration of a circularly curved beam are quantitatively analyzed,and the accuracy and practicability of the proposed algorithm are verified.
作者
王永亮
王建辉
张磊
WANG Yong-liang;WANG Jian-hui;ZHANG Lei(School of Mechanical and Civil Engineering,China University of Mining and Technology(Beijing),Beijing 100083,China;State Key Laboratory of Coal Resources and Safe Mining,China University of Mining and Technology(Beijing),Beijing 100083,China)
出处
《工程力学》
EI
CSCD
北大核心
2021年第10期24-33,共10页
Engineering Mechanics
基金
国家自然科学基金项目(41877275,51608301)
中央高校基本科研业务费专项资金项目(2019QL02)
天津市重点实验室开放课题基金项目(2017SCEEKL003)
中国矿业大学(北京)越崎青年学者计划项目(2019QN14)
大学生创新创业训练计划项目(C201906327,C202006976)。
关键词
裂纹损伤
圆弧曲梁
自由振动
振型扰动
网格自适应划分
有限元法
crack damage
circularly curved beams
free vibration
mode disturbance
adaptive mesh refinement
finite element method
作者简介
王建辉(1997−),男,河北石家庄人,硕士生,主要从事矿山岩体计算力学的研究,E-mail:wangjianhui@students.cumtb.edu.cn;张磊(1998−),男,河北廊坊人,本科生,主要从事矿山岩体计算力学的研究,E-mail:zhanglei@students.cumtb.edu.cn;通讯作者:王永亮(1985−),男,河北唐山人,副教授,博士,硕导,主要从事矿山岩体计算力学的研究,E-mail:wangyl@cumtb.edu.cn。
