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Dynamic Bayesian identification of mechanical parameters of multi-cell curve box girder based on conjugate gradient theory

Dynamic Bayesian identification of mechanical parameters of multi-cell curve box girder based on conjugate gradient theory
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摘要 For multi-cell curve box girder, the finite strip governing equation was derived on the basis of Novozhilov theory and orthogonal property of harmonious function series. Dynamic Bayesian error function of mechanical parameters of multi-cell curve box girder was achieved with Bayesian statistical theory. The corresponding formulas of dynamic Bayesian expectation and variance were obtained. After the one-dimensional optimization search method for the automatic determination of step length of the mechanical parameter was put forward, the optimization identification calculative formulas were also obtained by adopting conjugate gradient method. Then the steps of dynamic Bayesian identification of mechanical parameters of multi-cell curve box girder were stated in detail. Through analysis of a classic example, the dynamic Bayesian identification processes of mechanical parameters are steadily convergent to the true values, which proves that dynamic Bayesian theory and conjugate gradient theory are suitable for the identification calculation and the compiled procedure is correct. It is of significance that the foreknown information of mechanical parameters should be set with reliable practical engineering experiences instead of arbitrary selection.
出处 《Science China(Technological Sciences)》 SCIE EI CAS 2012年第4期1057-1065,共9页 中国科学(技术科学英文版)
基金 supported by the National Natural Science Foundation of China (Grant Nos. 10772078 and 11072108) the Transportation Science Foundation of Jiangsu Province (Grant No. 09Y012)
关键词 mechanical parameters multi-cell curve box girder Bayesian identification conjugate gradient theory 动态力学参数 共轭梯度法 公式识别 曲线箱梁 梯度理论 多细胞 贝叶斯理论 优化计算
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