trochoidal

简明释义

英[troʊˈkɔɪdəl]美[troʊˈkɔɪdəl]

adj. 余摆线的

英英释义

单词用法

同义词

反义词

例句

1.This paper challenges some views such as the flank profile curvilinear equation of the trochoidal gear, presented in the paper "Performance Analysis of Trochoidal Gear Transmission".

本文对“变长线齿轮传动的特性分析”一文中所提出的变长线齿轮的齿廓曲线方程式等提出异议。

2.The experimental results showed that high quality of cavity surface can be obtained by using appropriate technologic parameter and trochoidal milling mode with micro-end mill cutter.

试验结果表明：采用小直径刀具，合适的工艺参数，次摆线分层走刀方式能加工出高质量的型腔表面。

3.The step-load testing of the ZPL—350 trochoidal-gear reducer shows that the fatigue rupture of the trochoidal gears takes place in the teeth of wheels.

通过对ZPL—350变长线齿轮减速器逐级加载试验表明：疲劳折断发生在大齿轮上。

4.The experimental results showed that high quality of cavity surface can be obtained by using appropriate technologic parameter and trochoidal milling mode with micro-end mill cutter.

试验结果表明：采用小直径刀具，合适的工艺参数，次摆线分层走刀方式能加工出高质量的型腔表面。

5.In robotics, the trochoidal 轮转的 movement of joints allows for more flexible and natural motions.

在机器人技术中，关节的trochoidal 轮转的 运动允许更灵活和自然的动作。

6.The trochoidal 轮转的 path of the pendulum creates a unique pattern of motion.

摆的trochoidal 轮转的 路径产生了一种独特的运动模式。

7.Understanding trochoidal 轮转的 curves is crucial for engineers designing cam mechanisms.

理解trochoidal 轮转的 曲线对于设计凸轮机构的工程师至关重要。

8.The design of the gear system incorporates trochoidal 轮转的 profiles to enhance efficiency.

齿轮系统的设计采用了trochoidal 轮转的 轮廓以提高效率。

9.The motion of the wheel can be described as a trochoidal 轮转的 path, which is essential in understanding its mechanics.

轮子的运动可以被描述为一个trochoidal 轮转的 路径，这对于理解其机械原理至关重要。

作文

In the realm of mathematics and physics, the study of curves and their properties plays a crucial role in understanding various phenomena. One such fascinating curve is the trochoidal curve, which can be defined as the path traced by a point on a circle as it rolls along a straight line. The concept of a trochoidal (涡轮曲线) path is not only intriguing but also has practical applications in various fields, including engineering, robotics, and even animation. To comprehend the significance of trochoidal (涡轮曲线) curves, one must first explore their characteristics. A trochoidal (涡轮曲线) curve can be categorized into two main types: the cycloid and the sinusoidal curve. The cycloid is generated when a circle rolls along a flat surface, while the sinusoidal curve emerges from a point on the circumference of the circle as it rolls along a straight line. Both types of curves exhibit unique properties that make them essential in mathematical modeling and simulations.One of the most remarkable aspects of trochoidal (涡轮曲线) curves is their application in the design of gears and mechanical systems. Engineers often utilize the principles of trochoidal (涡轮曲线) motion to create gear profiles that ensure smooth operation and efficient power transmission. For instance, the involute gear profile, which is derived from the trochoidal (涡轮曲线) motion, allows for constant velocity ratios between gears, thereby minimizing wear and tear over time. This principle is vital in the development of machinery that operates at high speeds or under heavy loads.Moreover, trochoidal (涡轮曲线) paths are also significant in the field of robotics. When programming robotic arms or automated machines, engineers often need to calculate the trajectory of movement. By employing trochoidal (涡轮曲线) trajectories, they can ensure that the movements are smooth and efficient, reducing the risk of mechanical failure and enhancing the overall performance of the robot. The ability to predict and control the motion of robots through trochoidal (涡轮曲线) paths opens up new possibilities in various industries, including manufacturing, healthcare, and logistics.In addition to engineering and robotics, the concept of trochoidal (涡轮曲线) curves extends to the world of computer graphics and animation. Animators often use mathematical models based on trochoidal (涡轮曲线) paths to create lifelike movements and simulate realistic motion in animated characters. By incorporating these curves into their designs, animators can achieve fluid and dynamic movements that enhance the viewer's experience. This application highlights the interdisciplinary nature of trochoidal (涡轮曲线) curves, showcasing their relevance beyond traditional mathematics and physics.In conclusion, the trochoidal (涡轮曲线) curve is a captivating subject that intertwines mathematics, engineering, robotics, and animation. Its unique properties and applications make it an essential concept in various fields. Understanding trochoidal (涡轮曲线) curves not only enriches one's mathematical knowledge but also opens doors to innovative solutions in technology and art. As we continue to explore the intricacies of these curves, we pave the way for advancements that could revolutionize multiple industries, demonstrating the profound impact of mathematical concepts on our daily lives.

在数学和物理的领域中，曲线及其属性的研究在理解各种现象中起着至关重要的作用。其中一个引人入胜的曲线是trochoidal（涡轮曲线），它可以定义为一个圆在沿直线滚动时，一个点所描绘的路径。trochoidal（涡轮曲线）路径的概念不仅令人着迷，而且在工程、机器人技术甚至动画等多个领域都有实际应用。为了理解trochoidal（涡轮曲线）曲线的重要性，首先必须探索它们的特征。trochoidal（涡轮曲线）曲线可以分为两种主要类型：摆线和正弦曲线。摆线是在一个圆沿平面表面滚动时生成的，而正弦曲线则是当圆的周长上的一个点沿直线滚动时出现的。这两种类型的曲线展现出独特的属性，使它们在数学建模和模拟中变得不可或缺。trochoidal（涡轮曲线）曲线最显著的方面之一是它们在齿轮和机械系统设计中的应用。工程师们常常利用trochoidal（涡轮曲线）运动的原理来创建确保平稳操作和高效功率传输的齿轮轮廓。例如，源自trochoidal（涡轮曲线）运动的渐开线齿轮轮廓，允许齿轮之间保持恒定的速度比，从而最大限度地减少磨损。这一原理在高速运转或重载运行的机械开发中至关重要。此外，trochoidal（涡轮曲线）路径在机器人技术领域也具有重要意义。在编程机器人手臂或自动化机器时，工程师们常常需要计算运动轨迹。通过采用trochoidal（涡轮曲线）轨迹，他们可以确保运动平滑高效，降低机械故障风险，并提高机器人的整体性能。通过trochoidal（涡轮曲线）路径预测和控制机器人的运动能力，为制造、医疗保健和物流等各个行业开辟了新的可能性。除了工程和机器人技术，trochoidal（涡轮曲线）曲线的概念还扩展到计算机图形和动画的世界。动画师们常常使用基于trochoidal（涡轮曲线）路径的数学模型来创建逼真的运动并模拟动画角色的真实运动。通过将这些曲线融入设计中，动画师可以实现流畅而动态的运动，增强观众的体验。这一应用突显了trochoidal（涡轮曲线）曲线的跨学科性质，展示了它们在传统数学和物理之外的相关性。总之，trochoidal（涡轮曲线）曲线是一个引人入胜的主题，它将数学、工程、机器人技术和动画交织在一起。其独特的属性和应用使其成为多个领域的基本概念。理解trochoidal（涡轮曲线）曲线不仅丰富了一个人的数学知识，还为技术和艺术中的创新解决方案打开了大门。当我们继续探索这些曲线的复杂性时，我们为可能革新多个行业的进步铺平了道路，展示了数学概念对我们日常生活的深远影响。