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A nonlinear dynamic model of the manipulator is obtained and the unknown parameters are estimated.
Respectively, the matrix e 0 T ′ is calculated corresponding to the increments of γ from −180° to 180° and the inverse kinematics solution of the manipulator is obtained based on e 0 T ′; 4.
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Many meaningful and interesting results for the hyper dynamic manipulation for a two-joint manipulator are obtained in simulation.
Residual vibrations which occur after stopping the movement of the manipulator are obtained and the root-mean-square (RMS) values of these signals are calculated.
Using dynamic and kinematic models of a manipulator different performance measures for the manipulator are obtained for different combination of parameters with effect of noise incorporated to imitate the real time performance of the manipulator.
We consider the following scenario: given the desired Cartesian path of the end-effector of the manipulator in a free-of-obstacles workspace, off-line smooth geometric paths in the joint space of the manipulator are obtained.
As a first step, an appropriate bounding box representing the wanted workspace is obtained by using the Monte Carlo method and then the geometrical dimensions of the manipulator are obtained through a gradient based optimization method by accounting for the joint and other constraints.
The dynamic load carrying capacity (DLCC) of these manipulators is obtained via this approach.
Also, optimization results of these sixteen industrial robot manipulators were obtained and compared to each other.
Finally, two optimal configurations for the considered manipulators are obtained from the numerical simulation results.
Using the velocity equations, the singularity analysis of the manipulators is completed and expressions which represent the singularity of the manipulators are obtained.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com