2018
DOI: 10.3788/ope.20182611.2703
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Improvement of Monte Carlo method for robot workspace solution and volume calculation

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Cited by 14 publications
(4 citation statements)
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“…The workspace is the collection of spatial points that can be reached by the end-effector during the picking process of the robot, and its shape and size are the key factors that determine the robot’s work performance. Based on the Robotics Toolbox in MATLAB software, the Monte Carlo method was used to solve the approximate solution in motion space ( Xu Z. et al., 2018 ). Through the forward kinematics Equation 4 , the position vector of the end-effector relative to the base was solved, and then multiple end position coordinate points were randomly generated by the Rand function to obtain the workspace as shown in Figure 8 .…”
Section: Kinematic Analysismentioning
confidence: 99%
“…The workspace is the collection of spatial points that can be reached by the end-effector during the picking process of the robot, and its shape and size are the key factors that determine the robot’s work performance. Based on the Robotics Toolbox in MATLAB software, the Monte Carlo method was used to solve the approximate solution in motion space ( Xu Z. et al., 2018 ). Through the forward kinematics Equation 4 , the position vector of the end-effector relative to the base was solved, and then multiple end position coordinate points were randomly generated by the Rand function to obtain the workspace as shown in Figure 8 .…”
Section: Kinematic Analysismentioning
confidence: 99%
“…Summarize 42 sets of volume calculation data, as shown in Figure 4 to Figure 7. The order of magnitude of the volume is 7 10 , its unit is 3 mm (also the unit of volume below).…”
Section: Numerical Volume Calculationmentioning
confidence: 99%
“…The size of the workspace needs to be measured using volume indicators [6], which can be used as the optimization target of the arm and has important guiding significance for the design of the arm. To solve the volume of the robot arm's working space, the voxelization algorithm [7], the grid iteration algorithm [8], and the adaptive meshing algorithm [9] are used. These three methods are large in calculation and time-consuming to solve the volume.…”
Section: Introductionmentioning
confidence: 99%
“…Boanta and Bris , an [29] combined robot kinematics with feedforward neural networks to estimate the workspace volume of a robot and solve for the Cartesian coordinates of the robot's end-effector in a Cartesian space. Xu et al [30] divided the Monte Carlo algorithm into two stages, namely, subspace generation and subspace expansion, to generate the workspace of a robot. This algorithm addressed the issue of insufficient accuracy in the workspace generated by traditional methods.…”
Section: Introductionmentioning
confidence: 99%