摘要
根据犁耕中犁体曲面对土垡的导向约束原理、土垡在曲面上不自锁条件及曲面的微分几何性质,研究得出犁体曲面形成的一般规律应是:高斯曲率K≤0。满足此条件的曲面可有多种,但在实用上和工艺上最简单的才是最合理的。据此得出直纹和负常曲率两类曲面可作为犁体曲面的基本模型。文中分析了生产上应用较多的直纹面,并推荐了伪球面。
This paper, on the principle of directed constraint of plow-bottom surface in dealing with soil slice in the plowing process, the no self-locking conditions of soil slice on the plow-bottom surface and the properties of differential geometry, arrived at the conclusion that the general shaping law of plow-bottom surface should be the Gaussian curvature K≤. Many surfaces can meet this condition, but the most simple surface in practice and technology is the most reasonable. Based on this foundation, basic models of plow-bottom surface are ruled surface and negative constant curvature surface. Frequentlyused in production ——the ruled surface, have been discussed in this paper.Also the pseudospherical surface have been recommended.
出处
《农业机械学报》
EI
CAS
CSCD
北大核心
1992年第3期25-30,共6页
Transactions of the Chinese Society for Agricultural Machinery
关键词
犁体
曲面
微分几何
数学模型
Plow-bottom surface, Differential geometry properties, Gaussian curvature, Directed constraint, Mathematical models
