Nonlinear analysis of two base isolated tall buildings, close to each other, coupled at the tip with a nonlinear viscous device and under the effect of wind, is addressed. The partial differential equations of motion are written with reference to a system constituted by two equivalent beam-like elements, and the modal features are evaluated both in presence and absence of wind which, besides nonlinear terms, provides non-proportional damping contributions. A reduced order system is then proposed to carry out an extensive parametric analysis, which is finalized to pick parameter values, like stiffness and damping of the isolation devices, which correspond to lowered amplitude of oscillations. Finally, a perturbation analysis on the continuum model is performed, for an in-depth evaluation of the post-critical response of the system, valid in a small interval of the constitutive parameter values.

提出了两个基础隔离的高层建筑的非线性分析，这些高层建筑相互靠近，在顶端与非线性粘性装置耦合并且在风的作用下。参照由两个等效的梁状单元组成的系统编写运动的偏微分方程，并在有风和无风的情况下评估模态特征，除非线性项外，还提供非比例阻尼贡献。然后，提出了降阶系统以进行广泛的参数分析，并最终确定其参数，以选择与降低的振幅相对应的参数值，例如隔离装置的刚度和阻尼。最后，对连续体模型进行扰动分析，以深入评估系统的临界后响应，