Nonlinear structural behavior and vibration control of a double curved cable net under the dynamic excitations

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.

摘要 本研究针对四角处设有两个高点与两个低点的鞍形索网结构（saddle shaped cable-net structure）的结构动力学特性展开分析。该索网通过张拉四角支承的四根边缘索实现预应力施加。本文采用一系列参数化非线性动力学分析方法，评估该系统在不同结构质量、几何参数、索预应力、索布置形式以及动力激励幅值下的动力响应。为简化估算完整有限元模型（finite element model）的动力响应，本文提出等效单自由度（single-degree-of-freedom）模型。仿真结果表明，该等效模型可精准预测多自由度（multi-degree-of-freedom）模型在动力激励下的位移响应。此外，本文将非线性主动控制算法应用于瞬态风激励下的结构响应抑制，结果验证了所提控制算法的有效性。