Method for analyzing coordinates of intersection of ground and connecting line between spherical center and cable net node of spherical cap structure

Abstract

The invention discloses a method for analyzing coordinates of an intersection of the ground and a connecting line between a spherical center and a cable net node of a spherical cap structure with a three-dimensional space. Under the condition that the three-dimensional space coordinates of a spherical center (6) of the spherical cap structure (1) and three-dimensional space coordinates of a main cable net node (2) are known, a three-dimensional surface model of the ground (7) and the spherical cap structure (1) is established by means of computer-aided design software, the coordinates of the intersection of the ground and the connecting line between the cable net node (2) and the spherical center (6) of the spherical cap structure with the three-dimensional space are accurately solved, that is, space coordinates of a center point (5) of an actuator foundation (3) are acquired, and coordinates of the spherical center (6) of the spherical cap structure (1), coordinates of the cable net node (2) and coordinates of the center point (5) of the actuator foundation (3) are located on the same straight line. The problems of reduction of accuracy and lower speed caused when the space coordinates of the ground intersection, namely the center point (5), are solved by adopting an algebra problem are effectively solved.

Description

technical field [0001] The invention belongs to the field of spherical crown structure design, and in particular relates to a method for solving the coordinates of the intersection point of the connection line between the center of the sphere and the ground of the cable net node of the spherical crown structure in three-dimensional space. Background technique [0002] In engineering design and construction, how to accurately obtain the coordinates of the intersection of the spherical center of the spherical crown structure and the connecting line of the spherical crown cable network node with the ground is a difficult problem. The traditional solution is to solve it by the method of analytic geometry. The so-called analytic geometry refers to the use of algebraic methods to study geometric figures. By establishing a Cartesian coordinate system, the geometric problems about points are transformed into algebraic problems about these points for research. It is also often used w...

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Problems solved by technology

[0004] The technical problem to be solved by the present invention is to provide an analytical method for the coordinates of the intersection point coordinates of the sphere center of the three-dimensional space spherical crown structure and the connection line of the cable net node and the ground, which overcomes the problem of solving the three-dimensional space spherical crown cable net node ball by traditional mathematical expressions in analytic geometry Problems such as low accuracy and slow speed when the coordinates of the intersection point between the center line and the ground

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