Dynamic response of asymmetric suspended structure subjected to random wind excitation

Chong Tian, Weicang Yao, Yi Pan, Xinguang Ge, Changchun Xu
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Abstract

Suspended structures, regarded as the expression of structural beauty, have attracted the focus of many architects and engineers. With the complexity of dynamic responses of the asymmetric suspended structures subjected to the random alongside wind excitation, an innovative method was proposed through combining the finite element method (FEM), the complex mode method (CMM), the pseudo excitation method (PEM), and the quadratic decomposition method (QDM) of frequency response function. The method could obtain unified closed-form solutions of spectral moment and variance of node displacement and velocity and acceleration of asymmetric structures and its correctness was verified by existing numerical approaches. The proposed method is applicable to the random wind-induced vibration response analysis of diverse linear complex structures. Notably, its efficacy lies in its circumvention of numerical integration, endowing it with high computational efficiency and accuracy. Extended comparative studies and discussion were also performed on effect of suspended span and comparisons of normal framed structure and symmetry structure. The results showed that the suspended span presented positive relation to horizontal displacement and inverse tendency to horizontal acceleration of the whole structure and vertical and horizontal acceleration of the columns near to suspended part should also be considered in engineering design.
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非对称悬挂结构在随机风激励下的动态响应
悬挂结构被视为结构之美的体现,吸引了众多建筑师和工程师的关注。针对非对称悬索结构在随机侧风激励下动态响应的复杂性,结合有限元法(FEM)、复模法(CMM)、伪激励法(PEM)和频响函数二次分解法(QDM),提出了一种创新方法。该方法可获得非对称结构节点位移、速度和加速度的谱矩和方差的统一闭式解,其正确性已得到现有数值方法的验证。所提出的方法适用于各种线性复杂结构的随机风致振动响应分析。值得注意的是,该方法的功效在于其规避了数值积分,具有较高的计算效率和精度。此外,还对悬挂跨度的影响以及普通框架结构和对称结构的比较进行了扩展比较研究和讨论。结果表明,悬挑跨度与整个结构的水平位移呈正相关,而与水平加速度呈反比,工程设计中还应考虑悬挑部分附近柱子的垂直和水平加速度。
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