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本文首次把状态估计理论应用到应变计组观测数据处理中,并得到下列一些有用的结果和一个识别方法: 1.严格证明了,只有当四支仪器的精度相等,目前常用的1/4分配公式才是最优的,文中给出了在精度不等时的最优分配公式。 2.严格证明了,若只考虑一个应变平衡方程式,则应变计组的观测数据只能进行检测而不能进行识别。为了进行识别,必需要增加观测方程的数目。 3.对于应变计组的错误数据,本文提出了一个“回归估计识别方法”。该方法将应变计的回归值也作为测量值,连同原来的测量值一起,运用状态估计理论对应变计的真值作出估计。并给出真值的最优马氏估计公式。实际计算表明,这是一个非常有效的方法。
For the first time, the state estimation theory is applied to the strain gage observation data processing and some useful results and an identification method are obtained as follows: 1. It is strictly proved that only when the accuracy of the four instruments is equal, the current 1/4 distribution Formula is the best, the paper gives the optimal distribution of the inequality in the formula. Strict proof, if only consider a strain balance equation, the strain gauge group of observations can only be detected and can not be identified. In order to identify, it is necessary to increase the number of observation equations. 3. For the error data of the strain gauge group, this paper presents a “regression estimation identification method.” In this method, the regression value of the strain gauge is also used as a measurement value, and along with the original measurement value, the state estimation theory is used to estimate the true value of the strain gauge. The optimal Markov estimation formula of truth value is given. The actual calculation shows that this is a very effective method.