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相关概念视频

Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

490
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...
490
Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

354
In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
354
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

425
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...
425
Kinematic Equations - I01:26

Kinematic Equations - I

10.7K
When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of motions are derived for such cases where the acceleration of the object is constant. The first kinematic equation gives an insight into the relationship between velocity, acceleration, and time. We can see, for example:
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Kinematic Equations - III01:18

Kinematic Equations - III

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The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
Using the kinematic equations,...
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Kinematic Equations - II01:17

Kinematic Equations - II

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The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
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相关实验视频

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一种框架定向优化方法,用于对动力信号进行一致的解释.

Ariana Ortigas Vásquez1,2, William R Taylor3, Allan Maas4,5

  • 1Research and Development, Aesculap AG, Tuttlingen, Germany. ariana.ortigas_vasquez@aesculap.de.

Scientific reports
|June 14, 2023
PubMed
概括

本研究介绍了一种框架定向优化方法 (FOOM),用于纠正基于惯性测量单位 (IMU) 的联合角度数据中的错误. 这种方法确保了动力学信号的一致解释,以改善临床运动生物力学分析.

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科学领域:

  • 临床运动生物力学 生物力学
  • 生物医学工程 生物医学工程
  • 整形外科 整形外科 整形外科

背景情况:

  • 动力学数据,通常显示为波形,在临床生物力学中表征关节运动.
  • 准确地解释关节动力学需要对动力学信号进行客观比较.
  • 之前基于IMU的膝盖角度评估显示出由于交叉谈话和不一致的参考框架方向导致的错误.

研究的目的:

  • 通过协调参考框架方向的差异来解决解释运动信号的局限性.
  • 介绍和研究一个框架定向优化方法 (FOOM) 以实现一致的动力学解释.
  • 为了纠正交叉通话错误,并使联合动力学数据的可靠比较.

主要方法:

  • 探索成本功能的最小化,以协调方向差异.
  • 开发和研究一个框架定向优化方法 (FOOM).
  • 执行优化的旋转序列以纠正角度错误并定义可重现的.

主要成果:

  • 基于IMU和基于光镜的数据之间的平方根平均误差从0.7°-5.1°显著减少到0.1°-0.8°.
  • 该FOOM成功调整了参考框架,并纠正了交叉谈话错误.
  • 证明不同的局部段框架可以产生不同的动力学模式.

结论:

  • 适当对准参考框架方向对于一致的动力学解释至关重要.
  • 通过确保对底层运动模式的一致解释,FOOM可以可靠地比较动力学数据.
  • 这种方法有助于客观地理解临床运动生物力学中的关节动力学.