Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (1): 87-95 .doi: https://doi.org/10.1007/s,10483-007-0110-z

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Dynamic Bayesian estimation of displacement parameters of continuous curve box based on Novozhilov theory

ZHANG Jian, Jian-shu, ZHAO Xin-ming   

    1. College of Transportation, Southeast University, Nanjing 210096, P. R. China;
    2. Civil Engineering Institute, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, P. R. China
  • Received:2005-09-20 Revised:2006-10-30 Online:2007-01-18 Published:2007-01-18
  • Contact: ZHANG Jian

Abstract: The finite strip controlling equation of pinned curve box was deduced on basis of Novozhilov theory and with flexibility method, and the problem of continuous curve box was resolved. Dynamic Bayesian error function of displacement parameters of continuous curve box was found. The corresponding formulas of dynamic Bayesian expectation and variance were derived. After the method of solving the automatic search of step length was put forward, the optimization estimation computing formulas were also obtained by adapting conjugate gradient method. Then the steps of dynamic Bayesian estimation were given in detail. Through analysis of a classic example, the criterion of judging the precision of the known information is gained as well as some other important conclusions about dynamic Bayesian stochastic estimation of displacement parameters of continuous curve box.

Key words: displacement parameters, Bayesian estimation, Novozhilov theory, continuous curve box

2010 MSC Number: 

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