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).
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