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张剑

副教授 硕士生导师

性别:男

学历:东南大学

学位:工学博士学位

所在单位:航空学院

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Accumulative Bayesian detection of displacement constants of a hybrid indeterminate box girder with variable scale gradient theory

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所属单位:航空学院

发表刊物:ADVANCES IN MECHANICAL ENGINEERING

关键字:Accumulative Bayesian objective function hybrid indeterminate box girder variable scale gradient method displacement constants agglomeration theory

摘要:With general Bayesian theory, the accumulative Bayesian objective function of displacement constants of a hybrid indeterminate box girder was found. The gradient matrix of accumulative Bayesian objective function to displacement constants and the calculative covariance matrix were both derived. The finite curvilinear strip controlling equation of a pinned box girder was derived and the hybrid indeterminate problem of a continuous curvilinear box girder with diaphragm was solved based on agglomeration theory. Combined with one-dimensional (1D) Fibonacci automatic search scheme of optimal step length, the variable scale gradient theory was utilized to research the stochastic detection of displacement constants of the hybrid indeterminate curvilinear box girder. Then the detection steps of displacement constants of the hybrid indeterminate curvilinear box girder were presented in detail and the detection procedure was developed. Through some classic examples, it is achieved that the accumulative Bayesian detection of displacement constants of the hybrid indeterminate curvilinear box girder has perfect numerical stability and convergence, which demonstrates that the derived detection model is correct and reliable. The stochastic performances of displacement constants and structural responses are simultaneously deliberated in an accumulative Bayesian objective function, which proves to have high computational efficiency. The variable scale gradient method incessantly changes the spatial matrix scale to engender new search directions during the iterative processes, which makes the derived accumulative Bayesian detection of the displacement constants more efficient.

ISSN号:1687-8132

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发表时间:2019-02-07

合写作者:Jia, Chao,周储伟

通讯作者:张剑

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