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• 几何设计与计算 • 上一篇    下一篇

心形线双曲拱坝三维建模

摘 要:心形线作为几何数学上最美最浪漫的一条曲线,第一次在拱坝设计中研#br# 究应用。在研究心形线几何特性时,发现有一段非常扁平的曲线,作为拱坝中轴线非常适合,#br# 可以使得拱坝的合力方向向山里偏转,有利于坝肩的稳定。因此,研究心形线作为拱坝的一#br# 种新线形,理论上具有可行性,并在实际工程中有一定的应用参考价值。该文在研究心形线#br# 双曲拱坝各种参数的基础上,建立心形线双曲拱坝的数学方程,实现图形的三维建模,为拱#br# 坝下一步进行有限元分析提供精确的三维模型,也为今后拱坝坝型的设计提供更多的选择和#br# 有意义的参考。#br# 关 键 词:计算机应用;心形线;中轴线;双曲拱坝;三维建模   

  • 出版日期:2015-04-30 发布日期:2015-03-30

3D Modeling of Cardioid Dome Dam

Abstract: As the most beautiful and the most romantic curve, the cardioid is designed and#br# applied in arch dam for the first time. In researching the geometric characteristics of cardioid,#br# we find a length of very flat curve in it, which is suitable as the axle wire of arch dam, for it#br# can make the resultant force direction of arch dam deflect to the mountain. Therefore, it has a#br# certain applicable value to research cardioid as a new line type of arch dam. Based on#br# researching various parameters of cardioid dome dam, this article establishes mathematical#br# equations of cardioid dome dam, and adopts 3D modeling. It will provide an accurate model for#br# finite element analysis in next step. And it will also provide more selections and meaningful#br# reference for arch dam designing.#br# Key words: computer application; cardioid; axle wire; dome dam; 3D modeling   

  • Online:2015-04-30 Published:2015-03-30

摘要: 心形线作为几何数学上最美最浪漫的一条曲线,第一次在拱坝设计中研
究应用。在研究心形线几何特性时,发现有一段非常扁平的曲线,作为拱坝中轴线非常适合,
可以使得拱坝的合力方向向山里偏转,有利于坝肩的稳定。因此,研究心形线作为拱坝的一
种新线形,理论上具有可行性,并在实际工程中有一定的应用参考价值。该文在研究心形线
双曲拱坝各种参数的基础上,建立心形线双曲拱坝的数学方程,实现图形的三维建模,为拱
坝下一步进行有限元分析提供精确的三维模型,也为今后拱坝坝型的设计提供更多的选择和
有意义的参考。

关键词: 计算机应用, 心形线, 中轴线, 双曲拱坝, 三维建模

Abstract: As the most beautiful and the most romantic curve, the cardioid is designed and
applied in arch dam for the first time. In researching the geometric characteristics of cardioid,
we find a length of very flat curve in it, which is suitable as the axle wire of arch dam, for it
can make the resultant force direction of arch dam deflect to the mountain. Therefore, it has a
certain applicable value to research cardioid as a new line type of arch dam. Based on
researching various parameters of cardioid dome dam, this article establishes mathematical
equations of cardioid dome dam, and adopts 3D modeling. It will provide an accurate model for
finite element analysis in next step. And it will also provide more selections and meaningful
reference for arch dam designing.

Key words: computer application, cardioid, axle wire, dome dam, 3D modeling