OPEN ACCESS
With the aid of the energy method, this paper calculates the natural vibration frequencies of precast and cast-in-situ plates in a residential building near a metro line in Shanghai, China, and sets up a detailed numerical model to verify the calculated results. The verification shows that the theoretical results on the natural vibration frequencies of floor slabs in different support modes agree well with the simulated results, an evidence to the correctness of the theoretical formulas based on the energy method. Based on the analysis results on the natural vibration frequencies floor slabs in different support modes, the author judged whether the slab vibrations, which make people uncomfortable, are caused by urban traffic excitation. The calculation and verification of the natural vibration frequencies floor slabs in different support modes provide valuable bases for vibration control and isolation of floor slabs in existing structures.
energy method, natural vibration frequency, numerical simulation, theoretical calculation
This work is supported by the national natural science fund (51708450); China Postdoctoral Science Foundation Project (2018M643702); Basic Research Project of Natural Science in Shaanxi Province(2018JQ5169); Shaanxi Provincial Postdoctoral Foundation Project; Ph. D. Research Start-up Project (107-451115002); School-level Scientific Research Project (2016CX025).
Chang L., Ren M., Yan W. M. (2008). In situ experiment and of vibration induced by urban road and elevated road transit. Journal of Beijing University of Technology, Vol. 34, No. 10, pp. 1053-1058. http://doi.org/10.1631/jzus.A0720090
Chang W. H. (2012). Calculation of the natural vibration frequency of rectangular thin plates with four edges supported. Shanxi Architecture, Vol. 38, No. 5, pp. 63-65.
Hassan O. (2008). Train-Induced ground borne vibration and noise in buildings. Multi-Science publishing Co.Ltd.UK.
Lou M. L., Jia X. P., Yu J. Q. (2009). Field measurement and analysis of ground vibration induced by subway trains. Journal of Disaster Prevention and Mitigation Engineering, Vol. 29, No. 3, pp. 282-288. http://doi.org/10.1109/CLEOE-EQEC.2009.5194697
Office of the building standard design co-operation group in the south China area. 03ZG401, (2003). Prestressed concrete hollow slab. Office of Central South area Building Standards Design team.
Shen L. J., Wang X. G., Yu Y. L., Yang X. L., Zhang Y. C. (2002). Monitoring and analysis of impact vibration cause by tippling of a chimney with height of 100 meters. Engineering Blasting, Vol. 8, No. 4, pp. 16-19.
Wang B., Tang H. X. (2005). The analysis of vibration effect caused by pile foundation construction. Chinese and Overseas Architecture, No. 2, pp. 100-101.
Xia H. (2010). Traffic induced environmental vibrations and controls. Beijing: Science Press.
Xia Q. (2014). Study on subway-induced existing building vibration and isolation method. Shanghai: Tongji University.
Xia Q., Qu W. J. (2014). Numerical analysis on metro train-induced vibrations and their influences and affecting factors on existing masonry building. Journal of Vibration and Shock, Vol. 33, No. 6, pp. 189-194.
Xia Q., Qu W. J. (2016). Experimental and numerical studies of metro train-induced vibrations on adjacent masonry buildings. International Journal of Structural Stability and Dynamics, Vol. 16, No. 10, pp. 1550067. http://dx.doi.org/10.1142/S0219455415500674
Xia Q., Qu W. J., Shang X. D. (2013). Test for effects of metro train-induced vibration on existing masonry buildings. Journal of Vibration and Shock, Vol. 32, No. 12, pp. 11-16.
Xu Q. L., Zhang F., Ji H. E. (2000). Discussion about the solution of the free vibration frequency of rectangular plate with two opposite ends simply supported and two opposite ends free. Journal of Zhengzhou University of Technology, Vol. 21, No. 4, pp. 1-3.
Yan W. M., Zhang Y., Ren M. (2006). In situ experiment and analysis of environmental vibration induced by urban subway transit. Journal of Beijing University of Technology, Vol. 32, No. 2, pp. 149-154.
Yao D. P., Zhang Y. F., Ye Y. Q. (2013). Impact of jacked pile construction vibration on environment and its control measures. Chinese Journal of Underground Space and Engineering, Vol. 9, No. s1, pp. 1739-1743.
Zong G., Zhang Y. H., Li G. Z. (2017). Measurement and research on metro vibration attenuation law predicted by road traffic. Chinese Journal of Underground Space and Engineering, Vol. 13, No. 1, pp. 229-235.