利用APDL参数化建模,对1 500个正交正放钢筋混凝土空腹夹层板模型进行模态分析。分析空腹夹层板的平面长宽比、跨度、空腹率、柱截面、层高等模型参数对其基频的影响规律。针对主要影响参数,采用多参数回归分析,得到基频的简化计算式。对回归方程的显著性检验表明,回归式吻合程度较好。最后以潍坊体育学校排球训练馆为工程算例,进一步验证该式的适用性。 Using APDL parametric modeling, modal analysis was performed on 1 500 orthonormally placed reinforced concrete fasting sandwich panels. Analyze the influence of parameters such as the aspect ratio, span, fasting rate, column cross-section, and layer-level model parameters of the fasting sandwich plate on its fundamental frequency. For the main influence parameters, a multi-parameter regression analysis was used to obtain a simplified calculation formula of the fundamental frequency. Examination of the significance of the regression equation shows that the regression fits well. Finally, the Weifang Sports School volleyball training hall was used as an example to further verify the applicability of the formula.