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A Geodesic Line Segment Form-Finding Method Based on Isodynamic Density Method

A technology of density method and curved surface, which is applied in the direction of instrumentation, design optimization/simulation, electrical digital data processing, etc., can solve problems such as unsolvable, complicated calculation process, and large solution error, so as to reduce calculation workload, improve calculation accuracy, The effect of improving usability

Active Publication Date: 2020-12-25
XIDIAN UNIV
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Problems solved by technology

The entire calculation process is complex, and proper meshing of the surface is a difficult problem. Improper meshing will lead to large solution errors or failure to solve

Method used

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  • A Geodesic Line Segment Form-Finding Method Based on Isodynamic Density Method
  • A Geodesic Line Segment Form-Finding Method Based on Isodynamic Density Method
  • A Geodesic Line Segment Form-Finding Method Based on Isodynamic Density Method

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Embodiment Construction

[0035] see figure 2 , the present invention provides a geodesic line segment form-finding method between two points on a curved surface based on the isodynamic density method, comprising the following steps:

[0036] Step 101: Given the surface equation, input the given two node coordinates on the surface, and use these two points as the boundary nodes of the cable segment.

[0037] Step 102: if image 3 As shown, solve the discrete point coordinates of the cable segment between two points on the surface.

[0038] This step specifically includes the following steps:

[0039] Step 201: Determine the number N of discrete nodes according to the accuracy requirement;

[0040] Step 202: According to the projected straight line of two points on the boundary of the cable segment on the horizontal projection plane and the number of discrete nodes, the XY coordinates of all discrete nodes are obtained by bisecting the straight line.

[0041] Step 203: Substituting the XY coordinat...

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Abstract

The invention provides an equal force density method-based shape finding method for a cable section of a geodesic line between two points of a curved surface. The method comprises the main steps of giving a curved surface equation, cable section initial point coordinate values and an inter-initial point discrete node number; equally dividing a horizontal projection straight line between two initial points to obtain discrete node coordinates of the cable section on the curved surface; establishing a force balance equation set of all cable section nodes; calculating out new node coordinates; and judging whether a difference value of two node coordinates meets a convergence condition or not, and if the condition is met, outputting all node information of the cable section of the geodesic line, or otherwise, returning to iteratively solve coordinate values of the cable section nodes. According to the shape finding method, the shape finding of the cable section of the geodesic line between the two points of the curved surface is realized by utilizing an equal force density algorithm, and the node information of the cable section of the geodesic line between the two points is obtained, so that a complex geodesic line cable net structure of the curved surface can be designed.

Description

technical field [0001] The invention belongs to the field of geodesic clue section form-finding, in particular to a geodesic clue section form-finding method between two points on a curved surface based on an isodynamic density method. Background technique [0002] Definition of a geodesic: A curve on a surface is called a geodesic if its geodesic curvature is zero at each point. The geodesic has an important position similar to that of the plane straight line on the curved surface, and the geodesic equations on the curved surface are second-order differential equations. The problem of finding geodesic clue segments is the problem of solving the coordinates of some discrete nodes on geodesic clue segments. Suppose there is a tensioned cable on a surface connecting two given points, and the cable can slide freely on a smooth surface. Since a geodesic is a geodesic on a surface, the cable will tend to the geodesic connecting the two points. The force exerted by the surface ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20G06F119/14
CPCG06F30/20
Inventor 杨东武方栋谢靓张涛郭王策
Owner XIDIAN UNIV
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