Stochastic Markov Optimized Estimation of Mechanical Parameters of U Shaped Channel Beam

Abstract

The U channel beam is of common use. Compared with mechanical analysis, little attraction has been put on the stochastic optimized estimation problem. For the U channel beam, degraded solid element theory is deduced and the displacement function is obtained. Then Markov error function of mechanical parameters of the U channel beam is founded and the corresponding formulas of Markov expectation and variance are derived. The stochastic optimized estimation computing formulas are also obtained by adopting optimization method including conjugate gradient method. Then the steps of stochastic Markov estimation of mechanical parameters of the U channel beam are listed. Through analysis of a classic example, some important conclusions about stochastic Markov estimation of mechanical parameters of U channel beam are drawn.