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Related Concept Videos

Kinematic Equations - III01:18

Kinematic Equations - III

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,...
Kinematic Equations: Problem Solving01:15

Kinematic Equations: Problem Solving

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...
Planar Rigid-Body Motion01:22

Planar Rigid-Body Motion

Understanding the movement of a rigid body in planar motion involves recognizing that every particle within this body is traversing a path that maintains a consistent distance from a specific plane. This concept is fundamental in the study of physics and mechanical engineering, and it allows us to comprehend better how objects move in space.
Planar motion is typically divided into three distinct categories. The first is rectilinear translation, demonstrated by a subway train that moves along...
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

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 instrumental in...
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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...
Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the time...

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Related Experiment Video

Updated: May 12, 2026

Robotic Mirror Therapy System for Functional Recovery of Hemiplegic Arms
10:32

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Improved RRT* Path-Planning Algorithm Based on the Clothoid Curve for a Mobile Robot Under Kinematic Constraints.

Kemeng Ran1, Yujun Wang1, Can Fang1

  • 1College of Computer and Information Science, Southwest University, Chongqing 400715, China.

Sensors (Basel, Switzerland)
|December 17, 2024
PubMed
Summary

This study introduces an improved Rapidly-exploring Random Trees* (RRT*) algorithm for mobile robot path planning. The enhanced algorithm generates faster, smoother, and more efficient collision-free paths while respecting kinematic constraints.

Keywords:
Clothoid curveRRT*obstacle avoidancepath planning

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Area of Science:

  • Robotics
  • Artificial Intelligence
  • Motion Planning

Background:

  • Mobile robot navigation requires efficient path planning algorithms.
  • Kinematic constraints significantly complicate path generation.
  • Existing algorithms may lack speed, smoothness, or efficiency.

Purpose of the Study:

  • To develop an improved path planning algorithm for mobile robots.
  • To generate efficient, smooth, and collision-free paths quickly.
  • To address limitations of existing path planning methods.

Main Methods:

  • Utilizes an enhanced Rapidly-exploring Random Trees* (RRT*) algorithm.
  • Incorporates a bidirectional expansion strategy for faster goal identification.
  • Employs a node reconnection strategy to optimize path length and memory usage.
  • Integrates a Clothoid curve-based path deformation for superior obstacle avoidance.

Main Results:

  • The proposed algorithm demonstrates simpler implementation and higher computational efficiency.
  • Achieves expedited pathfinding and increased success rates in simulations.
  • Generates smoother paths compared to conventional algorithms.
  • Ensures collision-free paths that adhere to mobile robot kinematic constraints.

Conclusions:

  • The enhanced RRT* algorithm offers significant improvements in mobile robot path planning.
  • It provides a more efficient, faster, and smoother solution for navigation under kinematic constraints.
  • The algorithm's strategies enhance obstacle avoidance and overall path-planning capability.