cycloid

简明释义

英[ˈsaɪklɔɪd]美[ˈsaɪklɔɪd]

n. 摆线，圆滚线

adj. 圆形的；情绪起伏不定的

英英释义

单词用法

同义词

反义词

例句

1.Cycloid was used to modify the involute tooth profile.

用摆线对渐开线齿轮齿形进行修形。

2.The contact stresses of the cycloid groove are analyzed by Hertz stress theory, and the stress variety curves are drawn.

利用赫兹应力理论推导出摆线槽的接触疲劳应力并绘出其应力变化曲线。

3.In the family of the cycloid drive, the fa cycloid-pin wheel planetary drive reducer is a new transmission device.

在摆线针轮行星传动家族中，FA型摆线针轮行星传动变速器是一种新的传动装置。

4.Profile equation of complex inner rotor is deduced and analyze, and accurate equation of cycloid rotary pump flow is produced.

最后用一个摆线转子泵计算的实例对计算公式进行验证并绘出了摆线转子的图形。

5.Flexible set cycloid gear pump rotor pump vane pump with the advantages of a similar volume than pump more than 10% efficiency.

柔性摆线转子泵集齿轮泵与叶片泵优点于一身比同类容积泵的效率提高10%以上。

6.The type analysis of the cycloid steel ball planetary transmission is made.

对摆线钢球行星传动进行了较全面的类型分析。

7.So, let me explain what's the definition of a cycloid.

让我来说明一下摆线的定义。

8.Ok, so that's what the cycloid looks like.

这就是摆线了。

9.The cycloid 摆线 has applications in engineering, particularly in gear design.

在工程学中，cycloid 摆线在齿轮设计中有重要应用。

10.Mathematicians study the properties of cycloid 摆线 curves to understand their unique characteristics.

数学家研究cycloid 摆线曲线的性质，以理解它们的独特特征。

11.The trajectory of a pendulum can be approximated by a cycloid 摆线 under certain conditions.

在某些条件下，摆锤的轨迹可以用cycloid 摆线来近似。

12.The motion of a point on the circumference of a wheel creates a cycloid 摆线 as it rolls along a flat surface.

轮子周边某点的运动在平面上滚动时形成了一个cycloid 摆线。

13.In physics, the cycloid 摆线 is often used to demonstrate the principles of motion and acceleration.

在物理学中，cycloid 摆线常用于演示运动和加速度的原理。

作文

The term cycloid refers to a specific type of curve that is generated by the path traced by a point on the circumference of a circle as it rolls along a straight line. This mathematical concept has fascinated mathematicians and physicists alike due to its unique properties and applications. In essence, the cycloid can be described as a series of arches that rise and fall smoothly, resembling the motion of a wave. The study of cycloid curves dates back to ancient Greece, where mathematicians like Archimedes explored their properties in relation to physics and engineering.One of the most interesting aspects of the cycloid is its application in the field of physics, particularly in understanding the principles of motion. For instance, when a ball rolls down a cycloid path, it reaches the bottom in a shorter time compared to other paths, such as a straight line or a parabolic curve. This phenomenon is known as the Brachistochrone problem, which was famously solved by the mathematician Johann Bernoulli in the late 17th century. His work on the cycloid not only advanced the field of calculus but also laid the groundwork for modern physics.Moreover, the cycloid has practical applications beyond theoretical mathematics. Engineers often use cycloid gears in machinery because of their ability to reduce friction and wear. The design of these gears allows for smooth rotational motion, which enhances the efficiency and longevity of mechanical systems. This is particularly important in industries where precision and reliability are paramount, such as aerospace and automotive engineering.In addition to its mechanical applications, the cycloid also appears in various natural phenomena. For example, the shape of certain waves in bodies of water can resemble a cycloid, illustrating how mathematical concepts can be found in nature. This connection between mathematics and the physical world highlights the importance of studying curves like the cycloid to gain insights into the underlying principles that govern our universe.Furthermore, the cycloid can be visualized through simple experiments. For instance, if you take a circular object, such as a coin, and roll it along a flat surface while observing a point on its edge, you can see the cycloid pattern being formed. This hands-on approach not only aids in understanding the concept but also makes learning more engaging and interactive.In conclusion, the cycloid is more than just a mathematical curve; it is a bridge between abstract theory and real-world applications. Its significance in physics, engineering, and nature underscores the interconnectedness of different fields of study. By exploring the properties and implications of the cycloid, we can deepen our understanding of motion and mechanics, ultimately enriching our knowledge of the world around us. Whether in the classroom or in practical applications, the cycloid serves as a reminder of the beauty and utility of mathematics in our everyday lives.

“cycloid”一词指的是一种特定类型的曲线，它是由一个圆的周边点在沿直线滚动时所描绘的路径生成的。这个数学概念因其独特的性质和应用而吸引了数学家和物理学家的关注。从本质上讲，cycloid可以被描述为一系列平滑起伏的拱形，类似于波浪的运动。对cycloid曲线的研究可以追溯到古希腊，像阿基米德这样的数学家探讨了它们与物理和工程的关系。cycloid最有趣的方面之一是它在物理学领域的应用，特别是在理解运动原理方面。例如，当一个球沿着cycloid路径滚下时，它到达底部的时间比其他路径（如直线或抛物线）更短。这种现象被称为最速降线问题，著名数学家约翰·伯努利在17世纪末对此进行了研究。他对cycloid的工作不仅推动了微积分的发展，也为现代物理奠定了基础。此外，cycloid在理论数学之外还有实际应用。工程师们常常在机械中使用cycloid齿轮，因为它们能够减少摩擦和磨损。这些齿轮的设计使得旋转运动非常平滑，从而提高了机械系统的效率和耐用性。这在航空航天和汽车工程等对精度和可靠性要求极高的行业中尤为重要。除了机械应用，cycloid还出现在各种自然现象中。例如，某些水体中的波浪形状可能与cycloid相似，这说明数学概念可以在自然界中找到。这种数学与物理世界之间的联系突显了研究像cycloid这样的曲线的重要性，以便深入了解支配我们宇宙的基本原理。此外，可以通过简单的实验来可视化cycloid。例如，如果你取一个圆形物体，如硬币，并在平坦的表面上滚动，同时观察其边缘上的一个点，你可以看到形成的cycloid图案。这种动手实验不仅有助于理解这一概念，而且使学习变得更加有趣和互动。总之，cycloid不仅仅是一个数学曲线；它是抽象理论与现实世界应用之间的桥梁。它在物理、工程和自然中的重要性强调了不同研究领域之间的相互联系。通过探索cycloid的性质和含义，我们可以加深对运动和力学的理解，最终丰富我们对周围世界的知识。无论是在课堂上还是在实际应用中，cycloid都提醒我们数学在日常生活中的美丽和实用性。