instantaneous center of rotation

简明释义

瞬时旋转中心

英英释义

The instantaneous center of rotation is a point in a moving body or system where the velocity of all points is perpendicular to the radius drawn from this point, effectively acting as the pivot point for that instant.

瞬时旋转中心是一个在运动物体或系统中的点,在这个点上,所有点的速度都与从该点绘制的半径垂直,实际上在这一瞬间充当了支点。

例句

1.In robotics, the arm's movement can be analyzed by finding its instantaneous center of rotation 瞬时旋转中心 during a task.

在机器人技术中,可以通过找到其在任务执行期间的瞬时旋转中心 instantaneous center of rotation 来分析手臂的运动。

2.The gymnast's performance relies on understanding the instantaneous center of rotation 瞬时旋转中心 for executing flips and twists.

体操运动员的表现依赖于理解瞬时旋转中心 instantaneous center of rotation 以执行翻转和扭转动作。

3.When designing a car's suspension system, engineers must consider the instantaneous center of rotation 瞬时旋转中心 of the wheels to optimize handling.

在设计汽车悬架系统时,工程师必须考虑车轮的瞬时旋转中心 instantaneous center of rotation 以优化操控性。

4.To improve maneuverability, pilots need to understand the instantaneous center of rotation 瞬时旋转中心 of their aircraft during turns.

为了提高机动性,飞行员需要理解他们的飞机在转弯时的瞬时旋转中心 instantaneous center of rotation

5.In mechanical engineering, the instantaneous center of rotation 瞬时旋转中心 is crucial for analyzing linkages in machines.

在机械工程中,瞬时旋转中心 instantaneous center of rotation 对于分析机器中的连杆至关重要。

作文

In the study of mechanics, particularly in the analysis of motion, the concept of the instantaneous center of rotation plays a crucial role. When an object moves, it often undergoes rotation about a point, and understanding where that point is at any given moment can help us analyze the motion effectively. The instantaneous center of rotation refers to a specific point in the plane of motion that serves as the pivot around which the object rotates at that instant. This concept is particularly useful when dealing with complex motions involving both translation and rotation.To illustrate this, consider a bicycle moving along a curved path. As the bicycle turns, different parts of it are rotating about different points. However, there exists a point on the ground, known as the instantaneous center of rotation, where we can imagine the entire bicycle is rotating around at that particular moment. This point can change as the bicycle continues to move, reflecting the dynamic nature of its motion.Understanding the instantaneous center of rotation allows engineers and physicists to predict the behavior of moving objects more accurately. For example, in robotics, knowing the instantaneous center of rotation can help design better algorithms for robot movement, ensuring that the robot can navigate its environment efficiently. Similarly, in automotive engineering, analyzing the instantaneous center of rotation can improve vehicle stability and handling during turns.Mathematically, the instantaneous center of rotation can be determined using the velocities of various points on the object. By analyzing the velocity vectors, one can find the point where these vectors intersect, revealing the instantaneous center of rotation. This intersection point is vital for understanding how forces are distributed throughout the object and how it will respond to different inputs.Moreover, the instantaneous center of rotation is not always located within the physical boundaries of the object itself. In some cases, especially in larger systems, the center may lie outside the object, influencing how it interacts with other elements in its environment. This aspect highlights the importance of considering external factors when analyzing motion.In conclusion, the instantaneous center of rotation is a fundamental concept in the study of motion that aids in the understanding of both simple and complex movements. Whether applied in engineering, robotics, or physics, grasping this idea enables us to break down and analyze motion more effectively. As we continue to explore the intricacies of movement, the instantaneous center of rotation remains a vital tool in our analytical toolkit, guiding us toward a deeper comprehension of how objects behave in motion.

在力学研究中,特别是在运动分析中,瞬时旋转中心的概念起着至关重要的作用。当一个物体运动时,它往往围绕一个点进行旋转,理解这个点在任何给定时刻的位置可以帮助我们有效地分析运动。瞬时旋转中心指的是在运动平面上某个特定点,该点在该瞬间作为物体旋转的支点。这个概念在处理涉及平移和旋转的复杂运动时尤其有用。为了说明这一点,考虑一下沿曲线路径移动的自行车。当自行车转弯时,它的不同部分围绕不同的点旋转。然而,地面上存在一个点,称为瞬时旋转中心,我们可以想象整个自行车在那个特定时刻围绕它旋转。随着自行车的继续移动,这个点可能会改变,反映出其运动的动态特性。理解瞬时旋转中心使工程师和物理学家能够更准确地预测运动物体的行为。例如,在机器人技术中,了解瞬时旋转中心可以帮助设计更好的机器人运动算法,确保机器人能够高效地导航其环境。同样,在汽车工程中,分析瞬时旋转中心可以改善车辆在转弯时的稳定性和操控性。从数学上讲,可以通过分析物体上各个点的速度来确定瞬时旋转中心。通过分析速度向量,可以找到这些向量的交点,从而揭示瞬时旋转中心。这个交点对于理解力在物体上的分布以及它如何响应不同输入至关重要。此外,瞬时旋转中心并不总是位于物体的物理边界内。在某些情况下,尤其是在较大的系统中,中心可能位于物体外部,影响其与环境中其他元素的相互作用。这一方面强调了在分析运动时考虑外部因素的重要性。总之,瞬时旋转中心是运动研究中的一个基本概念,有助于理解简单和复杂的运动。无论是在工程、机器人技术还是物理学中,掌握这一概念使我们能够更有效地分解和分析运动。随着我们继续探索运动的复杂性,瞬时旋转中心仍然是我们分析工具箱中的重要工具,引导我们更深入地理解物体在运动中的行为。

相关单词

instantaneous

instantaneous详解:怎么读、什么意思、用法

rotation

rotation详解:怎么读、什么意思、用法