框架结构水平振动简化分析模型的准确性

摘要

Horizontal vibration of a frame structure is usually simplified as a shear beam model or a bending beam model. The accuracy of each model is not quite clear until now. A typical 3-story concrete frame structure was analyzed with the shear beam model and the bending beam model, respectively. Vibration frequency equations were derived and the first three vibration frequencies were computed. Comparing these frequency values with the corresponding calculation results using finite element analysis, it was shown that the bending beam model is more accurate than the shear beam one.%框架结构水平振动的简化分析模型有剪切梁模型和弯曲梁模型,两种模型的准确性未见文献讨论.针对一典型三层钢筋混凝土框架结构,分别采用剪切梁模型和弯曲梁模型推导了结构水平振动的频率方程,采用数值方法求解非线性频率方程,得到了结构横向水平振动的前三阶振动频率,并与该框架结构的有限元计算结果进行了比较,验证了剪切梁模型和弯曲梁模型的准确性.分析结果表明,剪切梁模型计算误差大,而弯曲梁模型具有较好的准确性.