为减少谐波合成法中功率谱矩阵分解的计算量，基于双索引频率和谱矩阵特点，提出了谱解矩阵双轴插值算法和递归插值算法。两种方法均使风场模拟计算效率大幅度提高，且得到的模拟风场均与传统谐波合成法在统计意义上相符。研究了插值节点数量及分布形式对风场模拟的影响，认为在谱解矩阵的频率轴向采取前密后疏分段插值，双索引频率轴向采用均匀分布插值节点的形式，更适合于风场模拟。通过对一实际大跨度桥梁风场的模拟，验证了方法的有效性。
Abstract
In order to reduce computing time of power spectrum matrix decomposition in the harmonic superposition method,the biaxial-and recursive interpolation algorithms were respectively proposed based on the characteristics of double-indexing frequency and spectral matrix.The efficiency of the two methods was proved to be significantly improved,and from the statistical point of view,the simulated results were consistent with those using the traditional harmonic superposition method.The effects of the interpolation node number and arrangement form on the simulated results of wind field were also investigated.It was shown that a fine arrangement at front end and a coarse arrangement at rear end in frequency domain,and a uniform node distribution for double-indexing frequency are more suitable to wind field simulation.Through simulating a fluctuating wind field of a long-span suspension bridge,the effectiveness of the proposed methods was verified.
关键词
风场模拟 /
大跨度桥梁 /
谐波合成法 /
插值算法
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Key words
wind field simulation /
long-span bridges /
harmonic superposition method /
interpolation algorithm
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参考文献
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