CHEN Deliang1,2, WANG Yayun3, LIN Guosheng3, QIU Zebin3, LEI Wei3
1 Hunan Province University Key Laboratory of Bridge Engineering; 410004, China;
2 School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha 410004, China;
3 General Construction Company of CCTEB Group Co., Ltd., Wuhan, 430064, China
Abstract：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.
陈得良1,2，汪亚运3，吝国胜3，邱泽彬3，雷伟3. 含多裂纹（群）钢筋混凝土梁的自由振动研究[J]. 振动与冲击, 2019, 38(19): 109-114.
CHEN Deliang1,2, WANG Yayun3, LIN Guosheng3, QIU Zebin3, LEI Wei3. Free vibration of a RC beam with multi-crack. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(19): 109-114.
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