Free vibration of a RC beam with multi-crack

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (19) : 109-114.

CHEN Deliang1,2, WANG Yayun3, LIN Guosheng3, QIU Zebin3, LEI Wei3

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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.

Key words

reinforced concrete beam / multiple cracks / reinforced constraints effect / Taylor polynomials / free vibration

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CHEN Deliang1,2, WANG Yayun3, LIN Guosheng3, QIU Zebin3, LEI Wei3. Free vibration of a RC beam with multi-crack[J]. Journal of Vibration and Shock, 2019, 38(19): 109-114

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