Abstract
A homogeneous continuous viscoelastic beam, describing the dynamics of a base-isolated tower, exposed to a uniformly distributed turbulent wind flow, is studied. The beam is constrained at the bottom end by a nonlinear viscoelastic device, and it is free at the top end. Aeroelastic forces are computed by the quasi-static theory. The steady component of wind is responsible for a Hopf bifurcation, and the turbulent component induces parametric excitation. The interaction between the two bifurcations is investigated. Critical and post-critical behavior is analyzed by perturbation methods. The mechanical performances of the structure are discussed to assess the effectiveness of the viscoelastic isolation system.
Highlights
Slender structures are very sensitive to dynamic actions induced by wind, which causes a variety of instability phenomena [1,2,3,4,5,6]
Structures subjected to steady wind are modeled as self-excited autonomous systems, prone to Hopf bifurcations; structures subjected to turbulent wind are described by parametrically excited non-autonomous systems, potentially suffering divergence, flip or Neimark–Sacker bifurcations
The novelties of the current paper consist of: (a) the base isolation is proposed as a passive control system of tall buildings, to mitigate the effects of a turbulent wind, so far developed in [33] against steady wind only; (b) a new class of cross sections is studied, with respect to those analyzed in [15], manifesting a different scenario triggered by a super
Summary
Slender structures are very sensitive to dynamic actions induced by wind, which causes a variety of instability phenomena [1,2,3,4,5,6]. The novelties of the current paper consist of: (a) the base isolation is proposed as a passive control system of tall buildings, to mitigate the effects of a turbulent wind, so far developed in [33] against steady wind only; (b) a new class of cross sections is studied, with respect to those analyzed in [15], manifesting a different scenario triggered by a super-. By comparing the present analysis with that carried out in the literature on the aeroelastic behavior of (uncontrolled) towers under turbulent wind flow (e.g., [17,18,19,20,21]), other novelties emerge: (a) the MSM is directly applied to PDE, instead of projecting them on a selected mode; (b) the bifurcation scenario is described in a more exhaustive way, by considering the effects of all the bifurcation parameters in a large range.
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