任意平面形状筒体结构动力特性分析的改进条元法

Improved finite strip method for analyzing dynamic properties of tall building framed tube and tube-in-tube structure with arbitrary peripheral shape

提出了改进条元法,以分析任意平面形状筒体结构的动力特性.该方法根据柱壳理论,构造了柱壳曲线条元.此条元可退化为传统平板条元,与传统的平板条元相比较,可用于分析平面形状为曲线周边的筒体结构动力特性.此外,考虑了条元的平面外刚度,所用位移函数能反映筒体的剪力滞后效应;运用静力凝聚理论,使动力分析自由度大大减少,其总数仅为3r.研究结果表明,改进条元法具有精度高、通用性强、计算量小等优点,可作为高层建筑筒体结构抗震设计计算频率的实用方法.

A finite strip method was developed for analyzing dynamic properties of tall building framed tube and tubeintube structures with arbitrary peripheral shape. According to the theory of column shells, a column shell curvilinear strip was constructed, and it was converted into the classic slab plate strip. Compared with the slab plate strip, it can be used for analyzing dynamic properties of tall building framed tube and tubeintube structures with curvilinear peripheral shape. The outofplane stiffness of the strip was considered. The displacement functions given in this paper conform with the effect of shear lag on the tube. By using the socalled static condensation technique, the degrees of freedom in dynamic analysis is reduced greatly, and total degrees are 3r(where r is the number of terms employed in the truncated displacement function series).The calculated results show that the method proposed in this paper has advantages of high precision and versatility and less computation.