秩亏网平差基准条件的物理解释

The Physical Meaning about Base of Rank-Deficient Adjustment

引用能量力学理论,说明了最小势能原理与秩亏网平差中极小方差原则的一致性,并对具有普遍意义的加权秩亏网平差基准的实质作了物理解释,使这一平差方法的含意更为明确、直观。本文的结果不仅适用于普通秩亏网平差,也适用于加权与拟稳平差。从物理角度说明秩亏网平差基准的含意,可加深人们对平差结果性质的认识,因而更有利于工程技术人员选择合适的方法解决实际问题。

In this paper, the principle of energy is introduced to show the consistent results obtained respectively with the least variances and the least potential energy conditions. From the view of elastic mechanics, the authors interpret the physical meaning about adjustment base of rank-deficient equations. These conclusions are conducive for technical personnels to comprehend the properties of rank-deficient adjustment and to employ proper methods in engineering. The results, derived by the author, are suitable not only for the entirely least variances but also for the partially variances adjustment.