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Mathematical model for calculating the shaded and sunlit areas in a circular courtyard geometry

机译：用于计算圆形庭院几何形状中阴影和阳光照射区域的数学模型

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摘要

This paper presents a mathematical model that was developed specifically to calculate the produced shaded and sunlit areas in a circular courtyard geometry. It examines the interaction taking place between the sun at any time throughout the year and a circular courtyard form with any dimensions and proportions in any place on the earth. This model was included in a new computer program, which allowed detailed investigation to be undertaken into the effect of circular courtyard proportions on the generated wall and floor exposed and shaded areas. The results showed that changing the form's proportions significantly influences the shading or exposure potential of the internal courtyard envelope.
机译：本文提出了一个数学模型，该模型是专门为计算圆形庭院几何形状中产生的阴影和阳光照射区域而开发的。它检查了全年中任何时候太阳与地球上任何地方的任何尺寸和比例的圆形庭院形式之间的相互作用。该模型包含在一个新的计算机程序中，该程序可以对圆形庭院比例对生成的墙壁和地板暴露和阴影区域的影响进行详细研究。结果表明，更改表格的比例会显着影响内部庭院信封的阴影或暴露潜力。

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