Dynamic Bayesian Estimation of Displacement Parameters of Continuous Curve Box Based on Novozhilov Theory

ZHANG Jian; YE Jian-shu; ZHAO Xin-ming

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(1): 77-84

ZHANG Jian, YE Jian-shu, ZHAO Xin-ming. Dynamic Bayesian Estimation of Displacement Parameters of Continuous Curve Box Based on Novozhilov Theory[J]. Applied Mathematics and Mechanics, 2007, 28(1): 77-84.

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Dynamic Bayesian Estimation of Displacement Parameters of Continuous Curve Box Based on Novozhilov Theory

1.
College of Transportation, Southeast University, Nanjing 210096, P. R. China;

Received Date: 2005-09-20
Rev Recd Date: 2006-10-30
Publish Date: 2007-01-15

Abstract

Abstract

The finite strip controlling equation of pinned curve box was deduced on the basis of Novozhilov theory and with flexibility method, the problem of continuous curve box was resolved. Dynamic Bayesian error function of displacement parameters of continuous curve box was founded for the first time. 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 estimation of displacement parameters of continuous curve box.
- displacement parameter,
- Bayesian estimation,
- Novozhilov theory,
- continuous curve box

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References(10)

References

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