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从正交异性薄板的振动方程出发,将肋梁楼盖等代为各向异性板,推导了分析楼盖结构振动的拟板法基本公式,求出了楼盖强迫振动的全解、自振频率,以及简谐均布荷载、矩形脉冲荷载、三角形脉冲荷载等三种典型荷载作用下楼盖结构动态响应的稳态解.通过一个典型算例,比较了目前通用的有限元法、各国规范推荐的拟梁法与本文提出的拟板法计算结果的差异,证明拟板法是比拟梁法更合适的楼盖振动分析方法.
Starting from the vibration equation of the orthotropic thin plate, the basic formula of the slab-plate method for analyzing the vibration of the floor structure is derived by substituting the slab floor of the rib beam for the anisotropic plate, and the full solution of the forced vibration of the floor cover is obtained. , As well as the steady-state solution of the dynamic response of the roof under three typical loads, such as harmonic harmonic load, rectangular pulse load and triangular pulse load, etc. By a typical example, the current common finite element method is compared, The difference between the proposed method and the proposed method proposed in this paper proves that the method of plate vibration analysis is more appropriate than the beam method.