“…The developments presented in this paper are based on a set of original techniques introduced in our previous works [27][28][29][30][31]. The graphical CAD-based geometric method developed in the present paper can be easily deployed to solve the main problems related to geometric and kinematic analysis of all possible three-legged PPRMs with 3 DOFs regardless their individual leg architectures, including asymmetric PPRMs.…”
Section: Contributions Of This Papermentioning
confidence: 99%
“…workspace determination, with application to 3-RPR, 3-PPR and 3-PRR PPRMs, in [29], 2. 3D workspace representation, and singularity surface reconstruction, with application to 3-RPR-type PPRM, in [28], 3.…”
Section: Contributions Of This Papermentioning
confidence: 99%
“…In our previous works [27,29], we tackled the problem of 3D total workspace determination and characterization of the planar parallel manipulator. 3D total workspace integrates all feasible positions and orientations of the moving platform.…”
Section: Accuracy and Calculation Time In 3d Total Workpace Determinmentioning
confidence: 99%
“…The parameterized CAD-Geometric methodology is made up of four main steps [27,29] i. Construction of the vertex surfaces reached by each kinematic chain for a given orientation of the mobile platform.…”
Section: Accuracy and Calculation Time In 3d Total Workpace Determinmentioning
“…The developments presented in this paper are based on a set of original techniques introduced in our previous works [27][28][29][30][31]. The graphical CAD-based geometric method developed in the present paper can be easily deployed to solve the main problems related to geometric and kinematic analysis of all possible three-legged PPRMs with 3 DOFs regardless their individual leg architectures, including asymmetric PPRMs.…”
Section: Contributions Of This Papermentioning
confidence: 99%
“…workspace determination, with application to 3-RPR, 3-PPR and 3-PRR PPRMs, in [29], 2. 3D workspace representation, and singularity surface reconstruction, with application to 3-RPR-type PPRM, in [28], 3.…”
Section: Contributions Of This Papermentioning
confidence: 99%
“…In our previous works [27,29], we tackled the problem of 3D total workspace determination and characterization of the planar parallel manipulator. 3D total workspace integrates all feasible positions and orientations of the moving platform.…”
Section: Accuracy and Calculation Time In 3d Total Workpace Determinmentioning
confidence: 99%
“…The parameterized CAD-Geometric methodology is made up of four main steps [27,29] i. Construction of the vertex surfaces reached by each kinematic chain for a given orientation of the mobile platform.…”
Section: Accuracy and Calculation Time In 3d Total Workpace Determinmentioning
“…This approach is fast and also accurate. To make it easier and much faster, CAD software might also be utilized such as the work proposed by Arrouk et al [11]. One of the main drawbacks of this approach is its lack of general applicability since different robot topologies might need different techniques to apply this approach.…”
This chapter covers a number of kinematic performance indices that are instrumental in designing parallel kinematics manipulators. These indices can be used selectively based on manipulator requirements and functionality. This would provide the very practical tool for designers to approach their needs in a very comprehensive fashion. Nevertheless, most applications require a more composite set of requirements that makes optimizing performance more challenging. The later part of this chapter will discuss single-objective and multi-objectives optimization that could handle certain performance indices or a combination of them. A brief description of most common techniques in the literature will be provided.
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