顾及起算数据误差的三维测边网点位权函数建立的力学方法  

A mechanical Method to Establish the Point Weight Function of Three-dimensional Trilaterational Network Considering the Initial Data Errors

作　　者：吴斌[1] 

机构地区：[1]中南大学土木建筑学院,湖南长沙410075

出　　处：《湖南科技大学学报（自然科学版）》2004年第2期42-45,共4页Journal of Hunan University of Science And Technology：Natural Science Edition

基　　金：科技部科技型中小企业技术创新基金资助项目(编号:03C26221100803)

摘　　要：利用三维测边网和空间桁架结构形状相似的特点,将三维测边网模拟成桁架结构,运用力学中的虚功原理和单位荷载法,计算桁架节点位移,建立顾及起算数据误差的三维测边网点位权函数式,并且从理论上加以论证.提供了一种理论严谨,方法简单,规律性强,便于编程的新方法,为进一步拓宽力学计算方法的使用,探索新领域做些尝试.图3,参10.This paper considered influence of the initial data errors on survey precision of three-dimensional trilaterational network,mechanical method was applied to establish the point weight function.According to the comparability between three-dimensional trilaterational network and truss frame in shape,three-dimensional trilaterational network is simulated as truss frame.Used principle of virtual work and the unit load technique,the node displacement of truss frame is calculated.Account for the initial data errors,the point weight function of three-dimensional trilaerational network is deduced by mechanics model.The validities of the point weight function of three-dimensional trilaterational network has been proved successfully by mathematics theory.In this paper,a new technique with precise theory,simple method,and easy operation has been used to control survey precision of three-dimensional trilaterational network,and it is easy to perform by computer simulation program.It enriches the application of the mechanical method on control survey and attempts to open a new field.3figs.,10refs.

关 键 词：起算数据误差 三维测边网点位 权函数 力学方法 虚功原理 空间桁架结构 

分 类 号：TU323.4[建筑科学—结构工程]