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

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.