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Related Concept Videos

Kinematic Equations: Problem Solving01:15

Kinematic Equations: Problem Solving

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When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...
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Kinematic Equations for Rotation01:30

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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.
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Three-Dimensional Force System:Problem Solving01:30

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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
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Kinematic Equations - III01:18

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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.
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Kinematic Equations - II01:17

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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.
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Kinematic Equations - I01:26

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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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A Neural Network Based Approach to Inverse Kinematics Problem for General Six-Axis Robots.

Jiaoyang Lu1, Ting Zou1, Xianta Jiang2

  • 1Department of Mechanical Engineering, Memorial University of Newfoundland, St. John's, NL A1B 3X5, Canada.

Sensors (Basel, Switzerland)
|November 26, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a novel neural network (NN) approach to solve complex inverse kinematics problems (IKP) in robotics. The method enhances efficiency and accuracy for robot control, even with high-precision demands.

Keywords:
general six-axis robotinverse kinematicsneural networknumerical error minimization

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Area of Science:

  • Robotics
  • Artificial Intelligence
  • Computational Mechanics

Background:

  • Inverse Kinematics Problems (IKP) are critical for robot control but are challenging due to high non-linearity and complexity in multi-axis manipulators.
  • Existing methods often struggle with precision and efficiency when solving IKP for general robotic systems.
  • Six-axis robotic manipulators present significant computational hurdles in achieving accurate real-time control.

Purpose of the Study:

  • To propose a novel neural network (NN) based approach for precise and efficient solution of Inverse Kinematics Problems (IKP).
  • To address the inherent complexity and non-linearity challenges in solving IKP for six-axis robotic manipulators.
  • To enhance the accuracy and reduce the computational cost of IKP solutions in robotics.

Main Methods:

  • A joint space segmentation strategy simplifies IKP complexity, with data generated via forward kinematics.
  • Multilayer Perception (MLP) networks are trained piecewise to learn the IKP solution space.
  • Classification models are employed to reduce inference computational cost by selecting appropriate MLPs.
  • Numerical error minimization refines the initial NN-predicted solution for improved accuracy.

Main Results:

  • The proposed NN approach with joint space segmentation and error minimization demonstrates feasibility for IKP.
  • Simulations on a 6-DOF manipulator (Xarm6) validate the method's effectiveness and high-precision capability.
  • The algorithm shows superior efficiency and accuracy compared to existing NN-based IKP methods in the literature.

Conclusions:

  • Neural networks offer a viable and effective solution for complex Inverse Kinematics Problems in robotics.
  • The proposed methodology provides a significant advancement in solving IKP for general robotic manipulators with high precision requirements.
  • This approach enhances both the computational efficiency and the solution accuracy for robotic control applications.