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利用平稳随机过程谱展开式定理和传递矩阵法,本文导出矩阵形式的高耸结构考虑变刚度阻尼地基影响的风振计算公式,编制了通用电算程序.用该程序计算一座具有现场风振测试结果的钢筋混凝土烟囱的响应.结果表明:理论值与实测值吻合较好,地基柔性使结构基频比刚性地基基础算得的基频小26%.文中还通过传递矩阵法和振型分析法的比较,发现交叉项贡献比相应高振型贡献大.只有计及交叉项贡献,两种方法计算的结果才一致.
Using the spectrum expansion theorem and transfer matrix method of stationary stochastic process, this paper derives the wind vibration calculation formula for the influence of the variable stiffness damping foundation in the high-rise structure of matrix form, and compiles a general-purpose computer program. Using this program to calculate the results of an on-site wind vibration test. The response of the reinforced concrete chimney shows that the theoretical values are in good agreement with the measured values, and the foundation flexibility makes the fundamental frequency of the structure 26% smaller than that of the rigid foundation. This paper also compares the transfer matrix method with the mode analysis method. It is found that the cross-term contribution is larger than the corresponding high-order contribution. Only when the cross-term contribution is accounted for, the results of the two methods are consistent.