involute

简明释义

英[ˈɪnvəˌluːt]美[ˈɪnvəˌluːt]

adj. [生物] 内卷的；纷乱的；错综复杂的

n. [数] 渐伸线

vi. 恢复原状；消失

英英释义

单词用法

同义词

反义词

例句

1.The gear involute master and helix master are measurement standards and usually used to calibrate the involute and helix parameters of gear equipments.

齿轮渐开线样板和螺旋线样板是齿轮参数的标准计量器具，分别用于齿轮仪器渐开线、螺旋线参数的校准。

2.Involute Spline is one having teeth with involute profiles.

花键的键齿的齿形为渐开线形式的花键。

3.This paper discussed the relationship between the involute pitch of tooth root and tooth profile involute in hobbing.

本文阐述了滚刀滚齿时齿轮齿根过渡曲线的延长渐开线的等距线与齿轮齿形渐开线的关系。

4.We invent the spherical gear with ring involute tooth.

发明了渐开线环形齿球齿轮机构。

5.A novel reflector is proposed, which is simile in form to involute, and has advantages of smaller width than that of standard involute.

提出一种新的反射器几何构型仿渐开线型，其外形与标准渐开线相似，但翼展宽度短于标准渐开线反射器。

6.Internal gear pump has two kinds of tooth profile namely: involute profile and cycloidal tooth profile.

内啮合齿轮泵有两种齿形即：渐开线齿形和摆线齿形。

7.Advocate white is vogue, people need is involute medium halcyon.

崇尚白色是时尚，人们需要纷乱中的宁静。

8.The design of the gears was based on an involute curve to ensure smooth operation.

齿轮的设计基于渐开线曲线，以确保平稳运转。

9.In calculus, we often study the properties of involute shapes to understand their derivatives.

在微积分中，我们常常研究渐开线形状的性质，以理解它们的导数。

10.The involute of a circle is used in many mechanical applications.

圆的渐开线在许多机械应用中使用。

11.To create a more efficient turbine, engineers applied the principles of involute geometry.

为了制造更高效的涡轮，工程师应用了渐开线几何原理。

12.The architect's plan included involute forms that added an artistic touch to the building.

建筑师的计划包含了增加建筑艺术感的渐开线形状。

作文

In the realm of mathematics and geometry, the term involute refers to a specific type of curve that is generated from another curve. The concept of involute can be quite fascinating, as it intertwines with various branches of science and engineering. An involute is created by tracing the end of a taut string that is unwound from a fixed point on a given curve, typically a circle. This process can lead to intriguing applications in mechanical design, particularly in the creation of gears and other rotational mechanisms. The significance of involute curves in engineering cannot be overstated. For instance, when designing gear teeth, engineers often employ the involute profile because it allows for smooth engagement between gears. The involute shape ensures that the velocity ratio between the gears remains constant, leading to efficient power transmission. This property is crucial for machinery that requires precision and reliability, making the understanding of involute curves essential for mechanical engineers. Moreover, the beauty of involute curves extends beyond their practical applications. In art and architecture, the aesthetic appeal of involute shapes can be observed in various designs. Artists and architects often draw inspiration from these mathematical forms, creating visually stunning pieces that resonate with the principles of balance and harmony. The involute serves as a reminder of the connection between mathematics and creativity, illustrating how numerical concepts can manifest in tangible ways. To further grasp the idea of involute, one can visualize it in everyday life. Imagine a tightly wound spool of thread. As you pull the thread off the spool, the path traced by the thread as it unwinds forms an involute. This simple yet profound illustration highlights how involute curves are not just abstract concepts but rather phenomena that occur around us. In physics, the involute also plays a role in understanding motion and forces. When analyzing the movement of objects along curved paths, the involute can provide insights into the dynamics involved. For example, the path taken by a point on the edge of a rolling wheel can be described using involute geometry, offering a deeper understanding of rotational motion. In conclusion, the term involute encapsulates a rich tapestry of mathematical, engineering, artistic, and physical concepts. Its applications range from the practicalities of gear design to the elegance of artistic expression. By exploring the multifaceted nature of involute curves, we enrich our understanding of both the natural world and the human-made structures that surround us. The study of involute not only enhances our technical knowledge but also inspires creativity and innovation across disciplines, bridging the gap between science and art. Thus, embracing the concept of involute can lead to a greater appreciation of the intricate patterns that govern our universe.

在数学和几何的领域中，术语involute指的是一种特定类型的曲线，它是从另一条曲线生成的。involute的概念可以非常迷人，因为它与科学和工程的各个分支交织在一起。involute通过追踪从给定曲线上的固定点上解开的一根紧绷的弦的末端来创建，通常是一个圆。这一过程可以在机械设计中产生引人入胜的应用，特别是在齿轮和其他旋转机制的创建中。 在工程中，involute曲线的重要性不容小觑。例如，在设计齿轮齿时，工程师们常常采用involute轮廓，因为它能够确保齿轮之间的平滑啮合。involute形状确保齿轮之间的速度比保持恒定，从而实现高效的动力传输。这一特性对于需要精确和可靠性的机械至关重要，因此理解involute曲线对机械工程师来说是必不可少的。 此外，involute曲线的美不仅限于其实际应用。在艺术和建筑中，involute形状的美学吸引力可以在各种设计中观察到。艺术家和建筑师常常从这些数学形式中汲取灵感，创造出视觉上令人惊叹的作品，与平衡和和谐的原则产生共鸣。involute提醒我们数学与创造力之间的联系，说明数值概念如何以有形的方式表现出来。 为了进一步理解involute的概念，人们可以在日常生活中进行可视化。想象一下一个紧紧缠绕的线轴。当你拉出线时，线从线轴上解开的路径形成了一个involute。这个简单而深刻的插图突显了involute曲线不仅仅是抽象概念，而是我们周围发生的现象。 在物理学中，involute也在理解运动和力量方面发挥作用。当分析沿曲线路径移动的物体时，involute可以提供有关所涉及的动力学的见解。例如，滚动轮边缘上的一个点所走的路径可以用involute几何描述，从而更深入地理解旋转运动。 总之，术语involute包含了一个丰富的数学、工程、艺术和物理概念的织锦。它的应用范围从齿轮设计的实用性到艺术表现的优雅。通过探索involute曲线的多面性，我们丰富了对自然世界和我们周围人造结构的理解。对involute的研究不仅增强了我们的技术知识，还激发了跨学科的创造力和创新，架起了科学与艺术之间的桥梁。因此，拥抱involute的概念可以让我们更好地欣赏支配我们宇宙的复杂模式。