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考虑应变率效应、剪切和弯曲变形、横断面几何尺寸、荷载情况,编制有限差分分析程序,精确有效地分析爆炸荷载下钢筋混凝土简支板的动力响应。与构件截面应变速率相适应,采用截面分层分析模型,建立截面矩与和曲率的关系。根据所提公式,将相应的应变率效应与截面分层分析模型相结合,沿构件长度方向,对构件纵向应变速率的分布进行评估。采用明确的有限差分方法,可得到包括剪切变形和转动变量的Timoshenko梁方程的数值解。结合爆炸量和距离,根据钢筋混凝土板爆炸试验的结果,验证所提有限差分分析模型的精确性。与传统的单自由度分析和有限元分析相比,有限差分分析程序快速、精确,结合了单自由度分析的速度和有限元分析精确的优势,十分适合于设计公司应用。
Considering the effects of strain rate, shear and bending deformation, cross-sectional geometry and load, the finite difference analysis program is compiled to analyze the dynamic response of simply supported reinforced concrete slab under blast load accurately and effectively. Corresponding to the strain rate of member cross-section, the cross-section stratified analysis model is adopted to establish the relationship between the moment of section and the curvature. According to the formula, the corresponding strain rate effect is combined with the cross-section stratified analysis model to evaluate the longitudinal strain rate distribution along the length of the component. Using explicit finite difference method, the numerical solution of Timoshenko beam equation including shear deformation and rotational variable can be obtained. According to the explosion quantity and distance, according to the result of explosion test of reinforced concrete slab, the accuracy of the proposed finite difference analysis model is verified. Compared with the traditional single degree of freedom analysis and finite element analysis, the finite difference analysis program is fast and accurate, which combines the speed of single-degree-of-freedom analysis and the precise advantage of finite element analysis and is very suitable for the design company.