radius of gyration

简明释义

旋转半径

英英释义

例句

1.To optimize the design, engineers often analyze the radius of gyration 回转半径 of various components.

为了优化设计，工程师通常分析各种组件的回转半径。

2.The radius of gyration 回转半径 for a beam can be calculated to determine its stability under load.

为了确定梁在载荷下的稳定性，可以计算其回转半径。

3.In structural engineering, the radius of gyration 回转半径 helps in assessing buckling resistance.

在结构工程中，回转半径有助于评估屈曲抗力。

4.The radius of gyration 回转半径 is crucial for understanding the distribution of mass in rotating systems.

了解旋转系统中质量分布时，回转半径是至关重要的。

5.The radius of gyration 回转半径 can indicate how a structure will respond to dynamic loads.

可以通过回转半径来指示结构对动态载荷的响应。

作文

The concept of radius of gyration is fundamental in the field of engineering, particularly in structural analysis and mechanics. It refers to a measure that helps to describe how mass is distributed around an axis of rotation. More specifically, the radius of gyration is defined as the distance from the axis at which the entire mass of an object can be thought to be concentrated for the purpose of analyzing rotational motion. This concept is crucial when designing structures that must withstand various forces, such as buildings, bridges, and mechanical components.To understand the radius of gyration, consider a simple example of a uniform rod rotating about one of its ends. The radius of gyration allows engineers to calculate the moment of inertia of the rod, which is essential for predicting how it will behave under different loading conditions. The moment of inertia depends not only on the mass of the rod but also on how that mass is distributed relative to the axis of rotation. The further the mass is from the axis, the greater the moment of inertia and the more difficult it is to rotate the object.The formula for calculating the radius of gyration (k) is given by the equation k = √(I/m), where I is the moment of inertia and m is the mass of the object. This relationship highlights the importance of both parameters in determining how an object will perform under rotational forces. A higher radius of gyration indicates that the mass is distributed farther from the axis, which can lead to increased resistance to bending and twisting.In civil engineering, the radius of gyration plays a critical role in assessing the stability of structures. For instance, when designing columns, engineers need to ensure that the column has a sufficient radius of gyration to resist buckling under axial loads. A larger radius of gyration typically means that the column can support greater loads without failing, making it a key factor in structural integrity.Moreover, the radius of gyration is also applicable in various fields beyond traditional engineering. For example, in aerodynamics, the radius of gyration can influence the stability of aircraft during flight. Understanding how the mass of an aircraft is distributed around its center of gravity helps engineers design wings and fuselage shapes that optimize performance and safety.In summary, the radius of gyration is a vital concept that permeates many areas of engineering and physics. It provides insights into the behavior of objects in rotational motion and is instrumental in ensuring the safety and effectiveness of structures and mechanical systems. By grasping the implications of the radius of gyration, engineers can make informed decisions that enhance the resilience and functionality of their designs. As technology continues to evolve, the applications of this concept will undoubtedly expand, highlighting its importance in both current and future engineering challenges.

半径是一个基本的概念，特别是在结构分析和力学领域。它指的是一个测量值，有助于描述质量如何围绕旋转轴分布。更具体地说，半径定义为从轴到物体的整个质量可以被认为集中在一起的距离，以便分析旋转运动。这个概念在设计必须承受各种力量的结构时至关重要，例如建筑物、桥梁和机械部件。为了理解半径，考虑一个关于其一端旋转的均匀杆的简单例子。半径使工程师能够计算杆的惯性矩，这对于预测它在不同载荷条件下的表现至关重要。惯性矩不仅取决于杆的质量，还取决于该质量相对于旋转轴的分布。质量离轴越远，惯性矩就越大，旋转物体就越困难。计算半径的公式为k = √(I/m)，其中I是惯性矩，m是物体的质量。这个关系突出了这两个参数在确定物体在旋转力下的表现中的重要性。较高的半径表明质量分布得更远离轴，这可能导致对弯曲和扭转的抗拒增加。在土木工程中，半径在评估结构的稳定性方面发挥着关键作用。例如，在设计柱时，工程师需要确保柱具有足够的半径以抵抗轴向载荷下的屈曲。更大的半径通常意味着柱能够承受更大的载荷而不发生失效，使其成为结构完整性的关键因素。此外，半径也适用于超出传统工程的各种领域。例如，在空气动力学中，半径可能影响飞机在飞行过程中的稳定性。理解飞机的质量如何围绕其重心分布有助于工程师设计优化性能和安全性的机翼和机身形状。总之，半径是一个重要的概念，渗透到许多工程和物理领域。它提供了对物体在旋转运动中行为的洞察，对于确保结构和机械系统的安全性和有效性至关重要。通过掌握半径的含义，工程师可以做出明智的决策，从而增强其设计的韧性和功能性。随着技术的不断发展，这个概念的应用无疑会扩大，凸显其在当前和未来工程挑战中的重要性。