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Calculation of stratum surface principal curvature based on a moving least square method

Journal of China University of Mining and Technology 2008年第1期18卷 59-63页

作者： LI Guo-qing MENG Zhao-ping MA Feng-shan ZHAO Hai-jun DING De-min LIU Qin WANG Cheng Institute of Geology and Geophysics Chinese Academy of Sciences Beijing 100029 China School of Mmeral Resources and Safety Engmeertng China University of Mining ＆ Tecl~nology BeOing 100083 China Sanshandao Gold Mine Shandong Gold Group Corporation Limited Laizhou Shandong 261442 China

With the east section of the Changji sag Zhunger Basin as a case study, both a principal curvature method and a moving least square method are elaborated. The moving least square method is introduced, for the first time, to fit a stratum surface. The results show that, using the same-degree base function, compared with a traditional least square method, the moving least square method can produce lower fitting errors, the fitting surface can describe the morphological characteristics of stratum surfaces more accurately and the principal curvature values vary within a wide range and may be more suitable for the prediction of the distribution of structural fractures. The moving least square method could be useful in curved surface fitting and stratum curvature analysis.

关键词： principal curvatures moving least square method surface fitting structural fractures

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Quasi Ellipsoid Gear Surface Reconstruction Based on Meshless Local Petrov-Galerkin method and Transmission Characteristic

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Chinese Journal of Mechanical Engineering 2010年第6期23卷 788-792页

作者： WU Xuemei SHAN Debin LI Guixian School of Mechanical and Electrical Engineering Harbin Institute of Technology Harbin 150006 China School of Materials Science and Engineering Harbin Institute of Technology Harbin 150006 China

Special transmission 3D model simulation must be based on surface discretization and reconstruction, but special transmission usually has complicated tooth shape and movement, so present software can＇t provide technical support for special transmission 3D model simulation. Currently, theoretical calculation and experimental method are difficult to exactly solve special transmission contact analysis problem. How to reduce calculation and computer memories consume and meet calculation precision is key to resolve special transmission contact analysis problem. According to 3D model simulation and surface reconstruction of quasi ellipsoid gear is difficulty, this paper employes meshless local Petrov-Galerkin （MLPG） method. In order to reduce calculation and computer memories consume, we disperse tooth mesh into finite points--sparseness points cloud or grid mesh, and then we do interpolation reconstruction in some necessary place of the 3D surface model during analysis. moving least square method （MLSM） is employed for tooth mesh interpolation reconstruction, there are some advantages to do interpolation by means of MLSM, such as high precision, good flexibility and no require of tooth mesh discretization into units. We input the quasi ellipsoid gear reconstruction model into simulation software, we complete tooth meshing simulation. Simulation transmission ratio during meshing period was obtained, compared with theoretical transmission ratio, the result inosculate preferably. The method using curve reconstruction realizes surface reconstruction, reduce simulation calculation enormously, so special gears simulation can be realized by minitype computer. The method provides a novel solution for special transmission 3D model simulation analysis and contact analysis.

关键词： meshless local Petrov-Galerkin method moving least square method quasi ellipsoid gear tooth mesh simulation

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