深圳大学学报（理工版）2012，Vol.29Issue(5)：432-437,6.DOI:10.3724/SP.J.1249.2012.05432
大跨度桥梁各态历经脉动风场的数值模拟分析
Numerical study on ergodic fluctuating wind field of long-span bridge
摘要
Abstract
On the basis of the spectral representation method with proper orthogonal decomposition ( POD) , considering the features of fluctuating wind field of long-span bridges, a reduction simulated formula of fluctuating wind field, which considered the cross-spectral density matrix as the POD object, was deduced. The equation of end error calculation based on the energy criterion was adopted to estimate the rational truncation item number of eigenvalues. And by introducing the double-indexing of the frequencies, the simulation of ergodic time domain series was achieved. Also, the Fast Fourier Transform was adopted to improve calculation efficiency, and the improved formula based on the Fast Fourier Transform was deduced in order to program expediently. In addition, the algorithm was applied to simulate the beam stochastic wind field of a long-span railway continuous rigid frame bridge. The auto-power spectral density and cross-power spectral density of the simulated time domain samples show good agreement with target spectrum, which can verify the effectiveness and correctness of the algorithm. Finally, the algorithm resultant velocity of wind field was analyzed. Results indicate that the key point of influencing the algorithm calculation efficiency is the POD velocity of matrix.关键词
大跨度桥梁/脉动风场/本征正交分解/互功率谱密度矩阵/随机模拟/各态历经性/合成速度Key words
long-span bridge/ wind field/ proper orthogonal decomposition (POD ) / cross-power spectrum ma-trix/ stochastic simulation/ ergodic/ resultant velocity分类
交通工程引用本文复制引用
郑恒斌,颜全胜,王卫锋,吴杰..大跨度桥梁各态历经脉动风场的数值模拟分析[J].深圳大学学报（理工版）,2012,29(5):432-437,6.基金项目
国家自然科学基金资助项目(50278037) （50278037）
广东省交通运输厅科技资助项目(2010-02-15) （2010-02-15）
