2011
DOI: 10.1016/j.simpat.2010.08.001
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Geometrical approach of planar hyper-redundant manipulators: Inverse kinematics, path planning and workspace

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Cited by 99 publications
(52 citation statements)
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“…Among which, one of the most commonly used workspaces is the constant-orientation workspace, which can be obtained as the location of point o when the MP is kept at a constant orientation. Actually, some methods, like discretization method, geometrical method and numerical method [30,31], are often used to solve the workspaces. Thereinto, the discretization method is a simple way to determine the workspaces of PMs.…”
Section: Workpace Analysis Of the Hybrid Manipulatormentioning
confidence: 99%
“…Among which, one of the most commonly used workspaces is the constant-orientation workspace, which can be obtained as the location of point o when the MP is kept at a constant orientation. Actually, some methods, like discretization method, geometrical method and numerical method [30,31], are often used to solve the workspaces. Thereinto, the discretization method is a simple way to determine the workspaces of PMs.…”
Section: Workpace Analysis Of the Hybrid Manipulatormentioning
confidence: 99%
“…In this section, the kinematics problems in terms of position analysis, workspace, and dexterity of the robot are analyzed in detail [5][6][7][8][9][10][11]. First, the inverse and the forward positon analyses of the mechanism are calculated by explicit solution; then the workspace of the robot is determined based on the forward position analysis algorithm.…”
Section: Kinematics Problem Analyses Of the Robotmentioning
confidence: 99%
“…For example, to command a five links planar redundant manipulator with the ability to rotate around its vertical axis, the six motors (five motors for each joint bend and one motor to rotate the whole manipulator around its upright axis) of the manipulator ought to be controlled. Using our previously published method [7,8], the configuration of the manipulator has three controllable angles instead of (n + 1) angles. Figure 1(b) shows the configuration of the manipulator when there are just three controllable angles.…”
Section: Workpace Analysismentioning
confidence: 99%
“…, θ n+1 . For the manipulator shown in Figure 1(b) using the method of Yahya et al [8], the angles between the links are equal, θ 3 = θ 4 = C423 · · · = θ n+1 . Therefore, the position coordinates of the target point are…”
Section: Workpace Analysismentioning
confidence: 99%