| The in-depth contents |
| Publication year |
1999 |
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| Title |
Meshless Method for Searching Geodesic Line by using Moving Least Squares Interpolation |
| Author |
Tetsuya Kawashima,Shintaro Yabashi,Hirohisa Noguchi,Kazuo Yokohori
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| Summary |
In the analysis for design of membrane structureEŒcutting analysis is indispensable. In the cutting analysisEŒcutting lines on the surface are determined so that curved surface can be expanded into several plane surfaces. In practice situationEŒgeodesic line is often regarded as cutting line. ConventionallyEŒthe geodesic line on arbitrary membrane surface is searched by using available finite element mesh. It is difficultEŒhoweverEŒto obtain the smooth geodesic line due to discontinuity of slope at the element boundary. In this paperEŒa new method for searching geodesic line by meshless approach using the moving least squares interpolation (MLSI). This method requires only nodal data and Cl continuity of approximation function of field is assured. ThereforeEŒthe variation of functional to be minimized is smoothly and efficiently. Some numerical examples are demonstrated to show the validity of the proposed method.
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