moment of gyration

简明释义

回转力矩

英英释义

例句

1.When designing a roller coaster, engineers must consider the moment of gyration 转动惯量 of the cars to ensure safety.

在设计过山车时，工程师必须考虑车辆的moment of gyration转动惯量以确保安全。

2.The moment of gyration 转动惯量 is often used in calculating the angular momentum of an object.

在计算物体的角动量时，通常使用moment of gyration转动惯量。

3.The engineer calculated the moment of gyration 转动惯量 for the beam to ensure it could support the load.

工程师计算了这根梁的moment of gyration转动惯量，以确保它能够承受负载。

4.The moment of gyration 转动惯量 helps in determining the stability of a rotating system.

moment of gyration转动惯量有助于确定旋转系统的稳定性。

5.In dynamics, the moment of gyration 转动惯量 is crucial for understanding how an object will rotate under applied forces.

在动力学中，moment of gyration转动惯量对于理解物体在施加力下如何旋转至关重要。

作文

The concept of the moment of gyration is fundamental in the field of mechanics and structural engineering. It refers to a measure of the distribution of mass around an axis of rotation. Understanding this concept is crucial for engineers and designers who are tasked with ensuring the stability and safety of structures. When a body rotates, the moment of gyration helps to determine how that body will respond to various forces acting upon it. Essentially, it provides insight into the rotational inertia of an object, which is pivotal in analyzing its motion.To better understand the moment of gyration, consider a simple example of a beam supported at its ends. When a load is applied to the center of the beam, it bends, and its ability to resist this bending depends on its moment of inertia, which is directly related to the moment of gyration. The farther the mass is distributed from the axis of rotation, the greater the moment of inertia and consequently, the moment of gyration. This relationship illustrates why longer beams or those with larger cross-sectional areas can support heavier loads without failing.In real-world applications, understanding the moment of gyration is essential for designing bridges, buildings, and other structures. Engineers must calculate the moment of gyration for various components to ensure they can withstand the forces exerted on them during their lifespan. For instance, when designing a bridge, engineers analyze the moment of gyration of the beams to predict how they will behave under traffic loads and environmental conditions such as wind or earthquakes. This analysis helps in selecting appropriate materials and dimensions for the structure.Furthermore, the moment of gyration plays a significant role in the design of mechanical systems, such as flywheels and rotating machinery. In these systems, the moment of gyration affects how efficiently energy is stored and transferred. A higher moment of gyration indicates that more energy is required to change the speed of the rotating object, which can influence the overall performance of the machinery.In summary, the moment of gyration is a critical concept that underpins many aspects of engineering and physics. It serves as a key indicator of how mass is distributed relative to an axis of rotation, affecting both the stability and performance of structures and mechanical systems. By mastering the implications of the moment of gyration, engineers can design safer and more efficient structures that meet the demands of modern society. As technology advances, the application of this concept will continue to evolve, making it even more relevant in the fields of engineering and physics. Understanding the moment of gyration not only enhances our comprehension of physical laws but also empowers us to innovate and improve the built environment around us.

“转动惯量”这一概念在力学和结构工程领域中至关重要。它指的是围绕旋转轴的质量分布的度量。理解这一概念对于负责确保结构稳定性和安全性的工程师和设计师来说至关重要。当一个物体旋转时，“转动惯量”有助于确定该物体如何响应作用于其上的各种力。基本上，它提供了对物体旋转惯性的洞察，这对于分析其运动是至关重要的。为了更好地理解“转动惯量”，考虑一个简单的例子：一根两端支撑的梁。当负载施加到梁的中心时，它会弯曲，而其抵抗这种弯曲的能力取决于其惯性矩，这与“转动惯量”直接相关。质量离旋转轴越远，惯性矩和因此的“转动惯量”就越大。这种关系说明了为什么较长的梁或具有较大横截面积的梁能够在不失效的情况下支撑更重的负载。在现实应用中，理解“转动惯量”对于设计桥梁、建筑物和其他结构至关重要。工程师必须计算各种组件的“转动惯量”，以确保它们能够承受在其生命周期内施加的力量。例如，在设计一座桥梁时，工程师分析梁的“转动惯量”，以预测它们在交通负载和风或地震等环境条件下的行为。这种分析有助于选择适当的材料和结构尺寸。此外，“转动惯量”在机械系统的设计中也起着重要作用，如飞轮和旋转机械。在这些系统中，“转动惯量”影响能量的存储和传递效率。更高的“转动惯量”意味着改变旋转物体速度所需的能量更多，这可能影响机械的整体性能。总之，“转动惯量”是支撑工程和物理学许多方面的关键概念。它作为质量相对于旋转轴分布的关键指标，影响着结构和机械系统的稳定性和性能。通过掌握“转动惯量”的含义，工程师可以设计出更安全、更高效的结构，以满足现代社会的需求。随着技术的进步，这一概念的应用将继续发展，使其在工程和物理学领域变得更加相关。理解“转动惯量”不仅增强了我们对物理法则的理解，还使我们能够创新并改善我们周围的建筑环境。