catenary

简明释义

英[kəˈtiːnəri]美[kəˈtinəri]

n. 链；悬链线；链状物

adj. 悬链线的；垂曲线的

复 数 c a t e n a r i e s

英英释义

单词用法

同义词

反义词

例句

1.Much of the book is about their practical problems-thrust lines, the catenary curve and groin vaulting.

该书大部分都是关于他们实际存在一些的问题—外扩的线条，垂曲弧，穹型拱顶。

2.The paper stresses on installation and use of the special - purpose device sweeping live catenary.

重点介绍了带电清扫接触网专用设备安装和使用。

3.The time domain nonlinear dynamic analysis of a steel catenary riser was introduced for fatigue life prediction.

研究了钢悬链立管时域非线性动力分析用于疲劳寿命预估。

4.Because the study of rigid catenary system's parameters inspection and evaluation is deficiency, my study in this paper has obvious significance.

对刚性接触网的检测和评价，目前国内关于这方面的研究并不多，本课题的研究具有明显的实践意义。

5.Also it is with high accuracy for it is derived from the basic equation of catenary.

它是在悬链方程基础上建立起来的，精度较高。

6.The catenary's shape influenced by gravity is curve, and the pantograph-catenary contact force changes regularly with pattern during one span.

在重力作用下的接触网是悬链形，弓网接触力在一个跨距内呈现规律的起伏变化。

7.The ideal arches are discussed and a practical way for reasonable design of catenary arches is presented.

本文讨论了拱型结构的合理轴线问题，并介绍了一种悬链拱合理设计的实用计算方法。

8.When suspended, the cable forms a 悬链线 that minimizes tension.

当悬挂时，电缆形成一条悬链线，以最小化张力。

9.The architect used a 悬链线 design to create an aesthetically pleasing roof structure.

建筑师使用悬链线设计来创造一个美观的屋顶结构。

10.The shape of the bridge is designed to follow a perfect 悬链线 for optimal strength.

这座桥的形状设计成遵循完美的悬链线以达到最佳强度。

11.In physics, the 悬链线 describes the curve formed by a hanging flexible chain.

在物理学中，悬链线描述了一条悬挂柔性链条形成的曲线。

12.Understanding the properties of a 悬链线 is crucial for engineers designing suspension bridges.

理解悬链线的性质对设计悬索桥的工程师至关重要。

作文

The concept of a catenary is fascinating, especially when we consider its applications in various fields such as architecture, engineering, and even art. A catenary refers to the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends. This mathematical curve is described by the hyperbolic cosine function and has unique properties that make it particularly useful in design and construction.One of the most iconic examples of a catenary in architecture is the Gateway Arch in St. Louis, Missouri. Designed by architect Eero Saarinen, this monument not only serves as a symbol of the city but also exemplifies the structural integrity provided by the catenary shape. The arch's form is not just aesthetically pleasing; it efficiently distributes weight and withstands external forces, illustrating how the principles of a catenary can enhance both beauty and functionality.In the realm of engineering, the catenary is crucial in the design of bridges and suspension systems. Engineers utilize the properties of the catenary curve to create structures that are both strong and flexible. For instance, the cables of a suspension bridge follow a catenary path, which allows them to effectively carry the load of the bridge deck while accommodating movement caused by wind or traffic. This understanding of the catenary shape ensures that bridges can endure the test of time and provide safe passage for vehicles and pedestrians alike.Furthermore, the catenary also finds its place in the world of art. Artists and sculptors often draw inspiration from the natural curves found in a catenary. The smooth, flowing lines of a catenary can evoke feelings of grace and harmony, making it a popular choice for artistic expression. For instance, the works of renowned sculptor Alexander Calder, who created mobile sculptures that mimic the fluidity of a catenary, highlight how this mathematical concept transcends mere engineering and enters the realm of creativity.In conclusion, the catenary is more than just a mathematical term; it represents a profound connection between science, engineering, and art. By understanding the properties of a catenary, we can appreciate the elegance of its applications in our everyday lives. Whether we are walking under the arch of a bridge, gazing at a modern sculpture, or simply observing the way a chain hangs, we are witnessing the beauty of the catenary in action. It reminds us that mathematics is not just a set of abstract concepts but a vital part of the world around us, shaping our experiences and inspiring our creativity.

“catenary”这个概念非常迷人，特别是当我们考虑它在建筑、工程甚至艺术等各个领域的应用时。“catenary”指的是一个理想化的悬挂链或电缆在其自身重力作用下，仅在两端支撑时所呈现的曲线。这种数学曲线由双曲余弦函数描述，具有独特的性质，使其在设计和建造中尤其有用。“catenary”在建筑中的一个标志性例子是位于密苏里州圣路易斯的拱门。由建筑师Eero Saarinen设计，这座纪念碑不仅作为城市的象征，还体现了“catenary”形状所提供的结构完整性。拱门的形状不仅美观，而且有效地分配重量并承受外部力量，说明了“catenary”原理如何增强美感和功能性。在工程领域，“catenary”在桥梁和悬索系统的设计中至关重要。工程师利用“catenary”曲线的特性来创建既坚固又灵活的结构。例如，悬索桥的缆索遵循“catenary”路径，这使得它们能够有效地承载桥面板的负荷，同时适应风或交通造成的运动。对“catenary”形状的理解确保了桥梁能够经受时间的考验，为车辆和行人提供安全通行。此外，“catenary”也在艺术世界中找到了自己的位置。艺术家和雕塑家常常从“catenary”中自然曲线中汲取灵感。“catenary”的平滑流畅的线条可以唤起优雅与和谐的感觉，使其成为艺术表现的热门选择。例如，著名雕塑家亚历山大·卡尔德的作品，他创造的移动雕塑模仿了“catenary”的流动性，突显了这一数学概念如何超越单纯的工程，进入创造的领域。总之，“catenary”不仅仅是一个数学术语；它代表了科学、工程和艺术之间深刻的联系。通过理解“catenary”的性质，我们可以欣赏到它在日常生活中应用的优雅。无论我们是在桥拱下行走，凝视现代雕塑，还是仅仅观察一条链子悬挂的方式，我们都在见证“catenary”的美丽展现。这提醒我们，数学不仅仅是一组抽象概念，而是我们周围世界的重要组成部分，塑造我们的体验并激发我们的创造力。