Search results
Results from the WOW.Com Content Network
A fundamental tool in robot kinematics is the kinematics equations of the kinematic chains that form the robot. These non-linear equations are used to map the joint parameters to the configuration of the robot system. Kinematics equations are also used in biomechanics of the skeleton and computer animation of articulated characters. Forward ...
The kinematics equations for a parallel chain, or parallel robot, formed by an end-effector supported by multiple serial chains are obtained from the kinematics equations of each of the supporting serial chains. Suppose that m serial chains support the end-effector, then the transformation from the base to the end-effector is defined by m ...
The kinematics equations of the robot are used in robotics, computer games, and animation. The reverse process, that computes the joint parameters that achieve a specified position of the end-effector, is known as inverse kinematics. Forward vs Backwards Kinematics
Inverse kinematics is an example of the kinematic analysis of a constrained system of rigid bodies, or kinematic chain. The kinematic equations of a robot can be used to define the loop equations of a complex articulated system. These loop equations are non-linear constraints on the configuration parameters of the system.
The coordinate transformations along a serial robot consisting of n links form the kinematics equations of the robot: [] = [] [] [] [] … [] [] [] where [T ] is the transformation that characterizes the location and orientation of the end-link.
Following the definition of angular velocity, one obtains: (+ /) = (/) = Solving these two equations for and , while the latter is defined as the distance from to the center of the robot = / = / (+) / Using the equation for the angular velocity, the instantaneous velocity of the point midway between the robot's wheels is given by = = + The ...
The equations of translational kinematics can easily be extended to planar rotational kinematics for constant angular acceleration with simple variable exchanges: = + = + = (+) = + (). Here θ i and θ f are, respectively, the initial and final angular positions, ω i and ω f are, respectively, the initial and final angular velocities, and α ...
Main page; Contents; Current events; Random article; About Wikipedia; Contact us