Abstract
The paper is regarding to the structural dynamics of a saddle shaped cable-net structure with two high points and two low points at the corners. The net cables are pre-stressed by stretching the four edge cables that are supported at the corner points. A series of parametric nonlinear dynamic analysis is utilized to evaluate the dynamic response of the system under the different structural masses and geometries, pretensions and alignments of cables and the amplitudes of dynamic excitation. An equivalent single-degree-of-freedom model is presented as a simplified method to estimate the dynamic response of the full finite element model. The simulation results show that the equivalent model can accurately estimate the displacement response of multi-degree-of-freedom model under dynamic excitation. Furthermore, a nonlinear active control algorithm is applied to decrease the structural response under the transient wind excitation and the results indicate the effectiveness of the proposed control algorithm.
Highlights
During the last decades, cable nets have been widely applied in structural systems due to their desired features of high tensile strength, lightweight, and appealing architectural shapes, which can be utilized to cover large spans and in glass facades
In order to simplify and cover a wide range of dynamic behaviors and parameters affecting them such as: geometric, structural mass, pre-stress and alignment of cables and amplitude of oscillation; a simplified saddle shaped cable-net model with two high points and two low points at the corners and a square plan view with dimensions of 5 mm × 5 mm, which consists of two types of the edge cables and the cable net is used for the parametric study
In order to reduce the dynamic response of the mentioned cable net with the geometrical nonlinear behavior described in previous sections, particle swarm optimization (PSO) is applied as control algorithm
Summary
Cable nets have been widely applied in structural systems due to their desired features of high tensile strength, lightweight, and appealing architectural shapes, which can be utilized to cover large spans and in glass facades. Lazzari et al (2001) investigated the nonlinear dynamical behavior of an actual saddle-form cable net subjected to wind excitation, by means of a finite element approach They showed that the increase in deformation causes changes in the stiffness and the resonance frequency. With a parametric investigation of the dynamic behavior of saddle shaped cable-net structures, a simplified method is proposed which reduces the expensive cost of geometrical nonlinear dynamic analysis of such complex structures By this means, the influence of each parameter such as the mass and geometric of structure, pre-stress and alignment of cables, amplitude of oscillation on the main factors of the dynamic behavior of the structure is clarified. By introducing an equivalent SDOF system representing the main structure, the effectivity of the particle swarm optimization (PSO) algorithm as an active control method is proven that provides one further step to apply nonlinear active control systems on such structures
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