摘要
从柔度系数和裂纹应力强度因子的基本关系出发,基于Timoshenko梁理论,建立了考虑钢筋约束效应的开裂混凝土梁模型,得到了含裂纹简支梁的固有频率特征方程.通过数值分析,讨论了不同裂纹长度和深度以及钢筋约束效应对梁前三阶固有频率的影响.研究结果表明,开裂混凝土梁在钢筋的约束效应下,其固有频率大于不计及钢筋约束效应的情况,且裂纹深度和位置的变化会对结构的固有频率产生影响.
Based on the relationship between the flexibility rate and crack stress intensity factor, the cracked concrete beam model considering the effect of reinforced constraints is established. The characteristic equation of a simple supported cracked beam is acquired. Considering reinforced constraints effect or not, the former three natural frequencies with various crack depths and positions are investigated. The numerical analysis shows that the natural frequencies of cracked concrete beam increases, compared with the case ignoring effects of reinforced constraints and the natural frequency varies with the crack depth and position.
出处
《长沙理工大学学报（自然科学版）》
CAS
2011年第2期35-39,50,共6页
Journal of Changsha University of Science and Technology:Natural Science
基金
湖南省自然科学基金资助项目(08JJ3008)
