ball-and-disc integrator

简明释义

1. 球盘摩擦式求积仪; 2. 摩擦积分器;

英英释义

A ball-and-disc integrator is a type of mechanical device used to perform integration by using the motion of a ball rolling on a disc, where the position of the ball reflects the accumulated value of the input signal over time.

球盘积分器是一种机械装置,通过使用在盘上滚动的球的运动来执行积分,其中球的位置反映了输入信号随时间积累的值。

例句

1.The ball-and-disc integrator is essential for accurate measurements in control systems.

在控制系统中,球盘积分器对于准确测量至关重要。

2.The ball-and-disc integrator allows for real-time data processing in our robotics project.

在我们的机器人项目中,球盘积分器允许实时数据处理。

3.The engineer used a ball-and-disc integrator to analyze the system's response to various inputs.

工程师使用了球盘积分器来分析系统对各种输入的响应。

4.By adjusting the parameters of the ball-and-disc integrator, we improved the accuracy of our simulations.

通过调整球盘积分器的参数,我们提高了模拟的准确性。

5.In our physics lab, we conducted an experiment with a ball-and-disc integrator to demonstrate integration techniques.

在我们的物理实验室,我们用球盘积分器进行实验,以演示积分技术。

作文

The concept of a ball-and-disc integrator is essential in the field of physics and engineering, particularly when it comes to understanding dynamic systems and feedback mechanisms. This device serves as a practical tool for integrating signals over time, which is crucial for a variety of applications, including control systems and signal processing. In essence, a ball-and-disc integrator consists of a ball that rolls on a flat disc. The motion of the ball is influenced by the forces acting upon it, which can be manipulated to achieve desired outcomes in an experimental setup.One of the primary uses of a ball-and-disc integrator is to demonstrate the principles of integration in a visual and tangible manner. When the disc rotates, the ball's position changes according to the angular velocity of the disc. By measuring the displacement of the ball, one can derive the integral of the input signal over time, providing valuable insights into the system's behavior. This makes the ball-and-disc integrator an excellent educational tool for students learning about calculus and dynamics.Moreover, the ball-and-disc integrator has practical implications in various fields. For instance, in robotics, it can be used to model the movement of robotic arms and other mechanisms. By understanding how the ball interacts with the disc, engineers can design more effective control systems that allow robots to perform tasks with precision. Similarly, in the automotive industry, the principles demonstrated by the ball-and-disc integrator can aid in the development of advanced vehicle dynamics systems that enhance safety and performance.In addition to its applications in engineering, the ball-and-disc integrator also finds relevance in scientific research. Researchers often use this device to study complex systems and phenomena, such as chaos theory and nonlinear dynamics. By analyzing the behavior of the ball on the disc, scientists can gain insights into the underlying principles governing these systems, which can lead to breakthroughs in various scientific fields.It is important to note that while the ball-and-disc integrator is a powerful tool, it also has limitations. For example, the accuracy of the integration depends on the precision of the measurements taken during the experiment. Any errors in measurement can lead to significant discrepancies in the results, making it essential for researchers and engineers to ensure that their setups are calibrated correctly.In conclusion, the ball-and-disc integrator is a fundamental device that plays a crucial role in both education and practical applications. Its ability to visually demonstrate the principles of integration and its relevance in various fields make it an invaluable tool for understanding dynamic systems. As technology continues to advance, the ball-and-disc integrator will undoubtedly remain a significant component in the study and application of physics and engineering, helping to pave the way for future innovations and discoveries.

“球盘积分器”的概念在物理和工程领域中至关重要,特别是在理解动态系统和反馈机制方面。该设备作为一个实用工具,用于随时间积分信号,这对于控制系统和信号处理等各种应用至关重要。简单来说,“球盘积分器”由一个在平面盘上滚动的球体组成。球体的运动受到作用于它的力的影响,这些力可以被操控以在实验设置中实现所需的结果。“球盘积分器”的主要用途之一是以一种可视和具体的方式演示积分原理。当盘子旋转时,球体的位置会根据盘子的角速度变化。通过测量球体的位移,可以推导出输入信号随时间的积分,从而为系统的行为提供有价值的见解。这使得“球盘积分器”成为学习微积分和动力学的学生的优秀教育工具。此外,“球盘积分器”在各个领域也具有实际意义。例如,在机器人技术中,它可以用于建模机器人手臂和其他机制的运动。通过理解球体与盘体的相互作用,工程师可以设计出更有效的控制系统,使机器人能够精确地执行任务。同样,在汽车工业中,“球盘积分器”所展示的原理可以帮助开发先进的车辆动态系统,以提高安全性和性能。除了在工程中的应用外,“球盘积分器”在科学研究中也具有相关性。研究人员经常使用该设备研究复杂系统和现象,例如混沌理论和非线性动力学。通过分析球体在盘上的行为,科学家可以深入了解支配这些系统的基本原理,从而在各个科学领域取得突破。需要注意的是,虽然“球盘积分器”是一个强大的工具,但它也有局限性。例如,积分的准确性取决于实验过程中所做测量的精度。任何测量错误都可能导致结果的重大差异,因此研究人员和工程师必须确保他们的设置经过正确校准。总之,“球盘积分器”是一个基本设备,在教育和实际应用中发挥着至关重要的作用。它能够直观地演示积分原理,并且在各个领域的相关性使其成为理解动态系统的宝贵工具。随着技术的不断进步,“球盘积分器”无疑将继续成为物理和工程学研究与应用的重要组成部分,帮助铺平未来创新和发现的道路。

相关单词

integrator

integrator详解:怎么读、什么意思、用法