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相关概念视频

Rotation with Constant Angular Acceleration - II01:16

Rotation with Constant Angular Acceleration - II

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Kinematics is the description of motion. The kinematics of rotational motion discusses the relationships between rotation angle, angular velocity, angular acceleration, and time. One can describe many things with great precision using kinematics, but kinematics does not consider causes. For example, a large angular acceleration describes a very rapid change in angular velocity without any consideration of its cause. Thus, rotational kinematics does not represent the laws of nature.
The first...
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Rotation with Constant Angular Acceleration - I01:37

Rotation with Constant Angular Acceleration - I

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If angular acceleration is constant, then we can simplify equations of rotational kinematics, similar to the equations of linear kinematics. This simplified set of equations can be used to describe many applications in physics and engineering where the angular acceleration of a system is constant.
Using our intuition, we can begin to see how rotational quantities such as angular displacement, angular velocity, angular acceleration, and time are related to one another. For example, if a flywheel...
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Adjusting a Traverse01:12

Adjusting a Traverse

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In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured internal angles was 359 degrees and 48 minutes, which is 12 minutes less than the expected 360 degrees. This discrepancy signals an error likely arising from measurement inaccuracies during the fieldwork.To rectify this error, the adjustment process involved distributing the 12-minute shortfall equally across the four internal angles. By...
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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
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Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

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Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...
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Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

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Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
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相关实验视频

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Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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用自适应性补偿动态错误测量角度定向的方法

Dimitar Dichev1,2, Iliya Zhelezarov1,2, Borislav Georgiev1,2

  • 1Department of Machine and Precision Engineering, Technical University of Gabrovo, 4 H. Dimitar Str., 5300 Gabrovo, Bulgaria.

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概括

这项研究引入了一种用于测量对象定向的新方法,使用自适应卡尔曼过来实时纠正动态错误. 这种系统可以准确地确定移动物体的滚动和俯冲, 并根据国际标准验证.

关键词:
MEMS 传感器适应式卡尔曼过角方向测量在动态测量中评估测量不确定性

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科学领域:

  • 工程
  • 测量科学
  • 机器人技术

背景情况:

  • 精确的角方向测量对于动态系统至关重要.
  • 现有的方法常常存在工具和动态错误.
  • 惯性元件稳定可能是复杂的,容易出错.

研究的目的:

  • 开发一种用于测量移动物体的角度方向的综合方法.
  • 通过简化机械结构来减少仪器错误.
  • 使用硬件软件平台实现动态错误的自适应补偿.

主要方法:

  • 使用适应式卡尔曼结构进行实时错误校正,避免惯性元件稳定.
  • 使用具有独立信号和MEMS传感器的双通道测量模型.
  • 开发了一种基于计量学的定量评估方法,包括错误和不确定性理论.

主要成果:

  • 开发并实施了一种测量滚动和曲率的系统.
  • 实验验证证了系统在静态和动态模式中的精度,与高精度的参考系统相比.
  • 开发的方法提供了客观,可复制和可追溯的评估.

结论:

  • 集成方法为动态物体的角度定向测量提供了可靠的解决方案.
  • 适应式卡尔曼方法有效地弥补动态错误.
  • 该系统的准确性和评估方法得到了验证,并可追溯到国际标准.