建筑平屋面排水的数学模型及解答

Mathematic Model and Solution of Roof Drainage in Architectural Design

屋面排水设计在建筑学中占有重要地位.合理的排水坡度可以使得雨水顺利地汇入落水管,从而避免因为雨水积聚而造成屋面损坏.对于平屋面排水设计,其本质是如何将一个建筑学问题转化为数学问题来解决.基于建筑设计规范,利用数学工具,首先建立各种常见平屋面排水的数学模型,然后通过严格的数学推导对数学模型加以解答.最后,提供的算例充分证明了本文方法的正确性与实用性,有非常广泛的推广价值.

The roof drainage design plays an important part in architecture. Water can flow into the downspouts successfully by rational slope which can prevent roof damage. As for roof drainage design, the essence is how to change an architectural problem into a mathematic problem. Firstly, base on the standard of architectural design and use the mathematic tool, establish the mathematic model of public roof. Then, give solutions of this model by mathematic derivation. At last, this paper gives some examples for the method which can prove its correct and practicable. Consequently, this will have a good prospect in engineering application.