catenary chain

简明释义

悬链

英英释义

例句

1.The artist used the concept of a catenary chain to create a stunning sculpture that mimics natural forms.

艺术家利用悬链线的概念创作了一件令人惊叹的雕塑，模仿自然形态。

2.When designing the roof, the architect opted for a catenary chain curve to enhance aesthetics and functionality.

在设计屋顶时，建筑师选择了悬链线曲线，以增强美观性和功能性。

3.The engineers designed a bridge using a catenary chain to ensure stability under varying loads.

工程师们设计了一座桥，使用悬链线以确保在不同负载下的稳定性。

4.A catenary chain is often used in the design of power lines to manage tension effectively.

在电力线路的设计中，通常使用悬链线来有效管理张力。

5.In physics class, we learned how a catenary chain forms when a flexible cable is suspended between two points.

在物理课上，我们学习了当一根柔性电缆悬挂在两个点之间时，如何形成悬链线。

作文

The term catenary chain refers to a specific type of curve that is formed by a flexible chain or cable when it is suspended between two points and allowed to hang freely under the influence of gravity. This concept is not only important in mathematics and physics but also has practical applications in engineering and architecture. Understanding the properties of a catenary chain can provide insights into the design of structures such as bridges, arches, and even power lines.To visualize a catenary chain, imagine holding a piece of string tightly at both ends. When you let go of the string, it will naturally form a curve that dips down in the middle. This curve is known as a catenary. The mathematical equation that describes this curve is derived from hyperbolic functions, specifically the hyperbolic cosine function. Mathematically, the shape of a catenary chain can be expressed as y = a cosh(x/a), where 'a' is a constant that determines the steepness of the curve.The significance of the catenary chain can be observed in various real-world applications. For example, in the construction of bridges, engineers often take advantage of the natural strength and stability offered by catenary shapes. A catenary arch can distribute weight evenly, making it an ideal choice for large structures. The Sydney Harbour Bridge in Australia is a prime example of a bridge that uses a catenary design to achieve both aesthetic appeal and structural integrity.Moreover, the principles of the catenary chain are also applied in the design of suspension bridges. In these structures, cables are suspended between towers, and they form a catenary shape under the load of the bridge deck. This design allows for efficient weight distribution and enhances the overall strength of the bridge. The Golden Gate Bridge in San Francisco is another iconic structure that utilizes the catenary principle, showcasing the beauty and functionality of this curve.In addition to bridges, the concept of the catenary chain is also relevant in the field of electrical engineering. Power lines are often strung between poles in a catenary configuration. This is done to minimize the tension on the wires and reduce the risk of breakage due to environmental factors such as wind and ice. By understanding the behavior of a catenary chain, engineers can optimize the placement and tension of power lines to ensure reliability and safety.Furthermore, the study of the catenary chain extends beyond engineering and architecture; it also touches upon art and design. Artists and designers have been inspired by the elegant curves of catenaries, incorporating them into sculptures and architectural features. The interplay of light and shadow created by these curves can evoke emotions and create visually striking compositions.In conclusion, the catenary chain is a fascinating concept that bridges the gap between mathematics, engineering, and art. Its unique properties make it a valuable tool for architects and engineers, enabling them to create structures that are not only functional but also aesthetically pleasing. By studying the catenary chain, we can gain a deeper appreciation for the natural laws that govern our world and the innovative ways in which we can apply these principles to solve real-world problems.

“悬链线”一词指的是一种特定的曲线，它是由一个灵活的链条或电缆在两个点之间悬挂并在重力作用下自由下垂时形成的。这一概念不仅在数学和物理学中重要，而且在工程和建筑中也有实际应用。理解“悬链线”的特性可以为桥梁、拱门甚至电力线路等结构的设计提供洞察。为了可视化“悬链线”，可以想象把一根绳子在两端紧紧握住。当你放开绳子时，它自然会形成一个中间下垂的曲线。这条曲线被称为悬链线。描述这种曲线的数学方程源于双曲函数，特别是双曲余弦函数。从数学上讲，“悬链线”的形状可以表示为y = a cosh(x/a)，其中'a'是一个常数，决定了曲线的陡峭程度。“悬链线”的重要性可以在各种现实应用中观察到。例如，在桥梁的建造中，工程师们常常利用悬链形状所提供的自然强度和稳定性。悬链拱能够均匀分配重量，使其成为大型结构的理想选择。澳大利亚的悉尼海港大桥就是一个使用悬链设计来实现美学吸引力和结构完整性的典范。此外，“悬链线”的原理也应用于悬索桥的设计。在这些结构中，电缆悬挂在塔之间，并在桥面负载下形成悬链形状。这种设计允许有效的重量分配，并增强桥梁的整体强度。旧金山的金门大桥是另一个利用悬链原理的标志性结构，展示了这一曲线的美丽和功能性。除了桥梁，电气工程领域中的“悬链线”概念也很相关。电力线路通常以悬链配置在杆之间拉紧。这是为了最小化电线上的张力，并减少因风和冰等环境因素导致断裂的风险。通过理解“悬链线”的行为，工程师可以优化电力线路的放置和张力，以确保可靠性和安全性。此外，“悬链线”的研究超越了工程和建筑，还涉及艺术和设计。艺术家和设计师受到悬链优雅曲线的启发，将其融入雕塑和建筑特征中。这些曲线所创造的光影交错可以唤起情感，创造出视觉上引人注目的作品。总之，“悬链线”是一个迷人的概念，它架起了数学、工程和艺术之间的桥梁。其独特的特性使其成为建筑师和工程师的宝贵工具，使他们能够创建既实用又美观的结构。通过研究“悬链线”，我们可以更深入地欣赏支配我们世界的自然法则以及我们可以如何创新地应用这些原理来解决现实问题。