Buckling of uniformly and not uniformly compressed tower buildings, resting on Winkler type soil, is investigated. An equivalent beam is introduced, able to capture the essential behavior of the building. It is a 3D Timoshenko beam, modeled in the framework of a direct approach, whose constitutive law is derived via a homogenization procedure, which includes the effect of the column prestress. The continuous model is discretized via finite differences, and a linear bifurcation analysis is carried out by solving an algebraic eigenvalue problem. Numerical results are shown for sample problems, aimed at detecting the structural behavior, and illustrating the role of some mechanical parameters. Results supplied by the equivalent beam model are compared with those derived by finite element analyses, carried out on three-dimensional frames.

研究了基于Winkler型土壤的均匀压缩和非均匀压缩的塔式建筑的屈曲。引入了等效光束，能够捕获建筑物的基本行为。它是在直接方法框架中建模的3D Timoshenko梁，其本构定律是通过均化过程推导的，其中包括柱预应力的影响。通过有限差分离散连续模型，并通过求解代数特征值问题进行线性分支分析。显示了针对样本问题的数值结果，旨在检测结构行为并说明某些机械参数的作用。将等效梁模型提供的结果与在三维框架上进行的有限元分析得出的结果进行比较。