摘要
基于Euler-Bernoulli梁理论,利用Hamilton变分原理,在考虑纵向钢筋对裂纹约束效应以及裂纹区应力集中效应的基础上,建立了含多裂纹(群)钢筋混凝土梁模型。通过Taylor级数展开的数值方法,得到了含多裂纹(群)钢筋混凝土简支梁的动力学特征方程;并利用数值分析,研究了裂纹深度、裂纹密集度以及钢筋约束效应对钢筋混凝土梁固有频率的影响。研究表明,含裂纹混凝土梁在考虑钢筋约束效应的影响下,其固有频率大于不考虑钢筋约束效应时的固有频率,且随着裂纹深度的扩展、裂纹数目的增加以及裂纹(群)位置的变化都会对钢筋混凝土梁结构的固有频率产生影响。
Based on Euler-Bernoulli beam theory,using Hamilton variational principle,the dynamic model of a reinforced concrete(RC)beam with multi-crack was established considering constraint effect of longitudinal steel bars on cracks and stress concentration effect in crack zone.The vibration characteristic equation for a simple supported RC beam with multi-crack was derived with Taylor series expansion numerical method.Using numerical analysis,influences of crack depth,crack density and steel bars’constraint effect on natural frequencies of the RC beam were studied.The results showed that natural frequencies of the cracked RC beam considering steel bars’constraint effect are larger than its ones not considering steel bars’constraint effect;crack depth extending,increase in crack density and variation of crack position all affect natural frequencies of the cracked RC beam.
作者
陈得良
汪亚运
吝国胜
邱泽彬
雷伟
CHEN Deliang;WANG Yayun;LIN Guosheng;QIU Zebin;LEI Wei(Hunan Province University Key Lab of Bridge Engineering,Changsha 410004,China;School of Civil Engineering and Architecture,Changsha University of Science and Technology,Changsha 410004,China;General Contracting Company of CCTEB Group Co.,Ltd.,Wuhan 430061,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2019年第19期109-114,154,共7页
Journal of Vibration and Shock
基金
国家自然科学基金项目(11172051)
湖南省自然科学基金项目(2015JJ4006)
湖南教育厅科研项目(16A003)
