产状测量方式的空间两结构面共面性理论分析

Theoretical analysis of two spatial structural surfaces' coplanarity in the mode of occurrence measurement

针对空间两结构面不同产状测量方式的组合关系问题,利用向量代数和空间解析几何原理,计算出不同产状测量方式组合情形下空间两结构面的平面方程,通过比较不同方程间系数关系对结构面共面性进行了理论分析;分析了空间两结构面二面夹角的误差来源,结合结构面自身性质,利用数理统计原理给出了空间两结构面共面性判断条件.

The coplanar analysis of structure surface is one of the main contents of researching connectivity issues.The measurement modes of structural surface occurrence were divided into the contact type and the non-contact one.The combination relationships of two spatial structural surfaces with different occurrence measurement mode were discussed.The plane equations of two spatial structural surfaces with different combination relationship of occurrence measurement mode were calculated by using vector algebra and analytic geometry principles.The coplanarity of structural surface was analyzed theoretically through comparing the coefficient relationship of different equations.Analyzing the error source of dihedral angle of two spatial structural surfaces,combined with the properties of the structural surfaces,the judgment condition of two spatial structural surfaces were given by using the principle of mathematical statistics.