广义逆平差与工程监测网变形分析

Generalized Inverse Adjustment and Deformation Analysis of Monitoring Nets

  • 摘要: 在工程监测网的变形分析中,关键问题在于寻找一个与监测网实际变形相似的数学模型。文中通过对莱大坝变形监测网的实例与模拟数据的计算,认为由于广义逆平差(自由网平差)仅仅是一种数学模型;工程监测网网点变形受各种因素的影响,在一般情况下,这种数学模型并不与实际情况相符合。广义逆平差所求位移量△x,具有△xT△x⇒min的性质,对于具有部分网点变动的监测网,这种方法所求得的位移偏小,(特别对于变动大的点),文中算例表明,在某些情况下,其偏小的数值不能忽视,对工程监视来说偏于不安全。在用这种平差方法计算网点位移时必须特别慎重。

     

    Abstract: In analysing the deformations of Engineering monitoring nets,the most important thing is to find a mathematical model which is similar to the true deformations.1n this paper,through calculating a monitoring net of large dam,the author indicates that generalized inverse adjustment(free net adjustment) is only one of the many mathematical models.Since the deformations arc affected by different factors,generally speaking,the selected model can not be perfectly similar to the true one.The deformations △x calculated in the generalized inverse adjustment have △xT△x⇒min property.For a monitoring net with some moved points,△x calculated are smaller than the true value.The result calculated in this paper indicates that in some cases the differences are not negligible and hence it is not safe for monitoring engineering projects.We should be very cautious in calculating the deformations of the points of monitoring nets.

     

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