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围绕高耸钢烟囱风振响应展开分析。首先,根据高耸钢烟囱的特点,建立其连续模型和集中质量模型的动力微分方程;随后,考虑规范风谱的形式,推导互功率谱矩阵乔列斯分解的显示表达,改进谐波叠加法并进行风荷载模拟;其次,采用Adomian分解法(Adomian Decomposition Method,ADM)求解连续模型的动力特性,并与集中质量模型、有限元模型以及实测结果进行对比;最后,编制程序分别针对高耸钢烟囱顺风向和横风向风振在时域和频域进行求解,并与有限元分析结果和实际观测结果进行对比。研究表明:改进谐波叠加法能够提高高耸钢烟囱风荷载模拟的效率;采用ADM求解结构的动力特性具有一定的精度和效率;在进行高耸钢烟囱设计时,需考虑顺风向的气动阻尼,同时慎重选择横风向风振的分析方法。
Around the tall steel chimney wind vibration response analysis. Firstly, according to the characteristics of tall steel chimney, the dynamic differential equations of continuous model and lumped mass model are established. Subsequently, considering the form of canonical wind spectrum, the expression of Choles decomposition of cross-power spectral matrix is deduced, and the harmonic superposition method is improved. Then the Adomian Decomposition Method (Adomian Decomposition Method, ADM) was used to solve the dynamic characteristics of the continuous model, and compared with the centralized mass model, the finite element model and the measured results. Finally, the program was aimed at the downwind of the tall steel chimney Wind direction and transverse wind directions are solved in the time domain and the frequency domain, and compared with the finite element analysis results and the actual observation results. The results show that the improved harmonic superposition method can improve the efficiency of the wind load simulation of the tall steel chimney. Adoption of ADM to solve the dynamic characteristics of the structure has certain accuracy and efficiency. When designing the tall chimney, the aerodynamic damping of the wind direction must be considered. Careful selection of crosswind wind vibration analysis.