基于几何变换的拱轴线的构成与特性研究  

Formation and Characteristics of Arch Axis Based on Geometric Transformation

作　　者：宋业存[1] 

机构地区：[1]江苏技术师范学院机械与汽车工程学院,江苏常州213001

出　　处：《南京理工大学学报》2012年第4期729-733,共5页Journal of Nanjing University of Science and Technology

摘　　要：为了获得一种易于调控、具有较好力学性能的拱,该文对新型拱轴线的形成与特性展开了研究。通过在单一平面场中对椭圆进行几何变换,产生了一种新型曲线———椭变曲线。该文以椭变曲线作为拱轴线构建了一种新拱。通过应用软件(SolidWorks)仿真实验验证,结果表明:当拱的高度与跨度比值较大时,该拱的抗变形能力和抗压能力要优于其他常见拱;同时,这种新型拱轴线也具有很好的调控性能,可实现拱的结构优化。In order to obtain an arch with easy control and modification and good mechanical properties, the formation and characteristics of the new arch axis are studied. Through the geometric transformation of the oval in the single plane field, a new curve is formed, that is, derivative curve based on the oval（DCBO）. A new arch is built based on the DCBO. With the software SolidWorks, the simulation results show that：when the ratio of the height and the span is larger, the capability of anti-deforming and the compressive bearing are superior to other common arches;this arch axis has good adjustment capability ;and the structure optimization of the arch can be realized.

关 键 词：拱轴线 几何变换 曲线调控 结构优化 椭变曲线 

分 类 号：O185[理学—数学]