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.

中文翻译：

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随机风激励下非对称悬挂结构的动力响应

悬吊结构作为结构美的表现形式，吸引了众多建筑师和工程师的关注。针对非对称悬挂结构在随机风激励作用下动力响应的复杂性，结合有限元法（FEM）、复模态法（CMM）、伪激励法（PEM）、以及频率响应函数的二次分解法（QDM）。该方法能够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，并通过现有数值方法验证了其正确性。该方法适用于多种线性复杂结构的随机风振响应分析。值得注意的是，它的功效在于规避数值积分，从而赋予其较高的计算效率和精度。对悬跨的影响以及普通框架结构与对称结构的比较也进行了深入的比较研究和讨论。研究结果表明，悬跨与整个结构的水平位移呈正相关，与水平加速度呈反比趋势，工程设计中还应考虑悬吊部分附近柱的竖向和水平加速度。