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Applied Mathematics and Mechanics

, Volume 28, Issue 1, pp 87–95 | Cite as

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

  • Zhang Jian  (张剑)Email author
  • Ye Jian-shu  (叶见曙)
  • Zhao Xin-ming  (赵新铭)
Article

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 

Chinese Library Classification

O221.2 U448.27 

2000 Mathematics Subject Classification

47A50 

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Copyright information

© Editorial Committee of Appl. Math. Mech. 2007

Authors and Affiliations

  • Zhang Jian  (张剑)
    • 1
    Email author
  • Ye Jian-shu  (叶见曙)
    • 1
  • Zhao Xin-ming  (赵新铭)
    • 2
  1. 1.College of TransportationSoutheast UniversityNanjingP. R. China
  2. 2.Civil Engineering InstituteNanjing University of Aeronautics and AstronauticsNanjingP. R. China

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