hyperbolic paraboloid shell

简明释义

双曲抛物面薄壳

英英释义

A hyperbolic paraboloid shell is a doubly curved surface that can be described mathematically as a saddle shape, formed by the intersection of two parabolic curves in three-dimensional space.

双曲抛物面壳是一种双曲面,数学上可以描述为鞍形,由三维空间中两个抛物线曲线的交集形成。

例句

1.Engineers chose a hyperbolic paraboloid shell for the roof of the building because it efficiently distributes weight.

工程师选择在建筑物屋顶使用双曲抛物面壳,因为它能有效分配重量。

2.The exhibition showcased various structures, including one made entirely of a hyperbolic paraboloid shell.

展览展示了各种结构,其中包括一个完全由双曲抛物面壳构成的建筑。

3.The architect explained that the hyperbolic paraboloid shell design allows for larger open spaces without columns.

建筑师解释说,双曲抛物面壳设计允许没有柱子的更大开放空间。

4.The new sports stadium features a stunning hyperbolic paraboloid shell, which provides both aesthetic appeal and structural integrity.

新体育场的设计采用了令人惊叹的双曲抛物面壳,既美观又结构坚固。

5.At the university, the lecture hall incorporates a hyperbolic paraboloid shell to enhance acoustics.

在大学中,讲堂采用了双曲抛物面壳以增强声学效果。

作文

The concept of a hyperbolic paraboloid shell is one that merges the realms of mathematics, architecture, and engineering. This unique structure is characterized by its saddle-like shape, which can be visualized as a surface that curves upwards in one direction while curving downwards in another. The hyperbolic paraboloid shell exemplifies a fascinating interplay between form and function, making it a popular choice in modern architectural designs. Its ability to distribute loads efficiently makes it particularly advantageous for constructing roofs and other large-span structures.In terms of geometry, a hyperbolic paraboloid shell is defined by a specific quadratic equation, which produces a surface that can be described as a hyperbolic paraboloid. This mathematical foundation allows architects and engineers to create aesthetically pleasing yet structurally sound designs. One of the most notable features of this type of shell is its ability to achieve significant spans without the need for extensive support structures, which can lead to more open and airy spaces within buildings.Historically, the use of hyperbolic paraboloid shells can be traced back to the mid-20th century, when architects began to explore new forms and materials in construction. One of the pioneers in this field was the architect Felix Candela, who utilized reinforced concrete to create stunning structures that showcased the beauty and efficiency of this geometric form. His work demonstrated that not only could a hyperbolic paraboloid shell be visually striking, but it could also withstand various environmental stresses, such as wind and snow loads.The applications of hyperbolic paraboloid shells are diverse, ranging from sports arenas and auditoriums to exhibition halls and even residential buildings. Their unique shape allows for expansive roof areas that can be left unobstructed by columns, providing flexibility in interior design. Moreover, the aerodynamic qualities of the hyperbolic paraboloid shell make them suitable for regions prone to high winds, as their shape helps to deflect and distribute wind forces more evenly across the surface.In addition to their structural benefits, hyperbolic paraboloid shells also offer aesthetic advantages. The graceful curves and angles create a visually dynamic appearance that can enhance the overall design of a building. Many architects have embraced this form, integrating it into their projects to create iconic landmarks that stand out in urban environments. The interplay of light and shadow on the curved surfaces adds another layer of visual interest, making these structures captivating both during the day and at night.As sustainability becomes an increasingly important consideration in architecture, the hyperbolic paraboloid shell presents opportunities for energy-efficient design. The shape can facilitate natural ventilation and daylighting, reducing the reliance on artificial lighting and climate control systems. Additionally, the potential for using locally sourced materials in the construction of these shells aligns with sustainable building practices.In conclusion, the hyperbolic paraboloid shell is a remarkable architectural element that embodies the fusion of beauty and functionality. Its unique geometric properties allow for innovative designs that push the boundaries of traditional construction methods. As architects continue to explore its potential, the hyperbolic paraboloid shell will undoubtedly remain a significant feature in the landscape of modern architecture, inspiring future generations to create structures that are not only functional but also artistically compelling.

“双曲抛物面壳”的概念融合了数学、建筑和工程的领域。这种独特的结构以其鞍形状为特征,可以想象成一个在一个方向上向上弯曲,而在另一个方向上向下弯曲的表面。“双曲抛物面壳”展示了形式与功能之间迷人的互动,使其成为现代建筑设计中的热门选择。它有效分配负载的能力使其在建造屋顶和其他大跨度结构时特别有利。在几何学方面,“双曲抛物面壳”由特定的二次方程定义,产生一个可以描述为双曲抛物面的表面。这一数学基础使建筑师和工程师能够创造出既美观又结构稳固的设计。这种类型的壳体最显著的特点之一是它能够在不需要大量支撑结构的情况下实现显著的跨度,这可以使建筑内部空间更加开放和通透。从历史上看,“双曲抛物面壳”的使用可以追溯到20世纪中期,当时建筑师开始探索建筑中的新形式和材料。在这一领域的先锋之一是建筑师费利克斯·坎德拉,他利用钢筋混凝土创造出惊艳的结构,展示了这一几何形式的美丽和效率。他的作品证明,“双曲抛物面壳”不仅可以视觉上引人注目,而且还能够承受各种环境压力,例如风和雪荷载。“双曲抛物面壳”的应用多种多样,从体育场馆和礼堂到展览厅甚至住宅建筑。其独特的形状允许大面积的屋顶区域没有柱子阻挡,提供室内设计的灵活性。此外,“双曲抛物面壳”的空气动力学特性使其适合于高风速地区,因为其形状有助于更均匀地偏转和分配风力。除了结构上的优势外,“双曲抛物面壳”还提供了美学上的好处。优雅的曲线和角度创造出一种动态的视觉外观,可以增强建筑的整体设计。许多建筑师已经接受了这种形式,将其融入他们的项目中,以创造出在城市环境中脱颖而出的标志性建筑。光与影在曲面上的相互作用增加了另一层视觉趣味,使这些结构在白天和夜间都令人着迷。随着可持续性在建筑中变得越来越重要,“双曲抛物面壳”为节能设计提供了机会。其形状可以促进自然通风和采光,减少对人工照明和气候控制系统的依赖。此外,在建造这些壳体时使用本地采购材料的潜力与可持续建筑实践相一致。总之,“双曲抛物面壳”是一种非凡的建筑元素,体现了美与功能的融合。其独特的几何特性使创新设计成为可能,推动了传统建筑方法的界限。随着建筑师继续探索其潜力,“双曲抛物面壳”无疑将继续在现代建筑的景观中占据重要地位,激励未来几代人创造出既功能性又艺术感十足的结构。

相关单词

hyperbolic

hyperbolic详解:怎么读、什么意思、用法

paraboloid

paraboloid详解:怎么读、什么意思、用法