Stiffness of a 3-degree of freedom translational parallel kinematic machine
Abstract In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revo...
Ausführliche Beschreibung
Autor*in: |
Shankar Ganesh, S. [verfasserIn] Koteswara Rao, A. B. [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2014 |
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Übergeordnetes Werk: |
Enthalten in: Frontiers of mechanical engineering in China - Berlin : Heidelberg : Springer, 2006, 9(2014), 3 vom: Sept., Seite 233-241 |
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Übergeordnetes Werk: |
volume:9 ; year:2014 ; number:3 ; month:09 ; pages:233-241 |
Links: |
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DOI / URN: |
10.1007/s11465-014-0312-z |
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Katalog-ID: |
SPR019869282 |
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520 | |a Abstract In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revolute (PRRR) joints. Inverse kinematics analysis is carried out to find the slider coordinates and joint angles for a given position of tool platform. Stiffness modeling is done based on the compliance matrices of arm and forearm of each limb. Using the stiffness modeling the variations of minimum and maximum translational stiffness in the workspace are analyzed. For various architectural parameters of the 3-DOF PKM the tendency of variations on the minimum and maximum stiffness over the entire workspace is studied; and also the deflections of the tool platform along X, Y, and Z directions with respect to various forces are presented. | ||
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10.1007/s11465-014-0312-z doi (DE-627)SPR019869282 (SPR)s11465-014-0312-z-e DE-627 ger DE-627 rakwb eng 620 ASE Shankar Ganesh, S. verfasserin aut Stiffness of a 3-degree of freedom translational parallel kinematic machine 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revolute (PRRR) joints. Inverse kinematics analysis is carried out to find the slider coordinates and joint angles for a given position of tool platform. Stiffness modeling is done based on the compliance matrices of arm and forearm of each limb. Using the stiffness modeling the variations of minimum and maximum translational stiffness in the workspace are analyzed. For various architectural parameters of the 3-DOF PKM the tendency of variations on the minimum and maximum stiffness over the entire workspace is studied; and also the deflections of the tool platform along X, Y, and Z directions with respect to various forces are presented. 3-DOF translational PKM (dpeaa)DE-He213 inverse kinematics (dpeaa)DE-He213 stiffness modeling (dpeaa)DE-He213 translational stiffness (dpeaa)DE-He213 Koteswara Rao, A. B. verfasserin aut Enthalten in Frontiers of mechanical engineering in China Berlin : Heidelberg : Springer, 2006 9(2014), 3 vom: Sept., Seite 233-241 (DE-627)510464319 (DE-600)2230609-2 1673-3592 nnns volume:9 year:2014 number:3 month:09 pages:233-241 https://dx.doi.org/10.1007/s11465-014-0312-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 AR 9 2014 3 09 233-241 |
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10.1007/s11465-014-0312-z doi (DE-627)SPR019869282 (SPR)s11465-014-0312-z-e DE-627 ger DE-627 rakwb eng 620 ASE Shankar Ganesh, S. verfasserin aut Stiffness of a 3-degree of freedom translational parallel kinematic machine 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revolute (PRRR) joints. Inverse kinematics analysis is carried out to find the slider coordinates and joint angles for a given position of tool platform. Stiffness modeling is done based on the compliance matrices of arm and forearm of each limb. Using the stiffness modeling the variations of minimum and maximum translational stiffness in the workspace are analyzed. For various architectural parameters of the 3-DOF PKM the tendency of variations on the minimum and maximum stiffness over the entire workspace is studied; and also the deflections of the tool platform along X, Y, and Z directions with respect to various forces are presented. 3-DOF translational PKM (dpeaa)DE-He213 inverse kinematics (dpeaa)DE-He213 stiffness modeling (dpeaa)DE-He213 translational stiffness (dpeaa)DE-He213 Koteswara Rao, A. B. verfasserin aut Enthalten in Frontiers of mechanical engineering in China Berlin : Heidelberg : Springer, 2006 9(2014), 3 vom: Sept., Seite 233-241 (DE-627)510464319 (DE-600)2230609-2 1673-3592 nnns volume:9 year:2014 number:3 month:09 pages:233-241 https://dx.doi.org/10.1007/s11465-014-0312-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 AR 9 2014 3 09 233-241 |
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10.1007/s11465-014-0312-z doi (DE-627)SPR019869282 (SPR)s11465-014-0312-z-e DE-627 ger DE-627 rakwb eng 620 ASE Shankar Ganesh, S. verfasserin aut Stiffness of a 3-degree of freedom translational parallel kinematic machine 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revolute (PRRR) joints. Inverse kinematics analysis is carried out to find the slider coordinates and joint angles for a given position of tool platform. Stiffness modeling is done based on the compliance matrices of arm and forearm of each limb. Using the stiffness modeling the variations of minimum and maximum translational stiffness in the workspace are analyzed. For various architectural parameters of the 3-DOF PKM the tendency of variations on the minimum and maximum stiffness over the entire workspace is studied; and also the deflections of the tool platform along X, Y, and Z directions with respect to various forces are presented. 3-DOF translational PKM (dpeaa)DE-He213 inverse kinematics (dpeaa)DE-He213 stiffness modeling (dpeaa)DE-He213 translational stiffness (dpeaa)DE-He213 Koteswara Rao, A. B. verfasserin aut Enthalten in Frontiers of mechanical engineering in China Berlin : Heidelberg : Springer, 2006 9(2014), 3 vom: Sept., Seite 233-241 (DE-627)510464319 (DE-600)2230609-2 1673-3592 nnns volume:9 year:2014 number:3 month:09 pages:233-241 https://dx.doi.org/10.1007/s11465-014-0312-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 AR 9 2014 3 09 233-241 |
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10.1007/s11465-014-0312-z doi (DE-627)SPR019869282 (SPR)s11465-014-0312-z-e DE-627 ger DE-627 rakwb eng 620 ASE Shankar Ganesh, S. verfasserin aut Stiffness of a 3-degree of freedom translational parallel kinematic machine 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revolute (PRRR) joints. Inverse kinematics analysis is carried out to find the slider coordinates and joint angles for a given position of tool platform. Stiffness modeling is done based on the compliance matrices of arm and forearm of each limb. Using the stiffness modeling the variations of minimum and maximum translational stiffness in the workspace are analyzed. For various architectural parameters of the 3-DOF PKM the tendency of variations on the minimum and maximum stiffness over the entire workspace is studied; and also the deflections of the tool platform along X, Y, and Z directions with respect to various forces are presented. 3-DOF translational PKM (dpeaa)DE-He213 inverse kinematics (dpeaa)DE-He213 stiffness modeling (dpeaa)DE-He213 translational stiffness (dpeaa)DE-He213 Koteswara Rao, A. B. verfasserin aut Enthalten in Frontiers of mechanical engineering in China Berlin : Heidelberg : Springer, 2006 9(2014), 3 vom: Sept., Seite 233-241 (DE-627)510464319 (DE-600)2230609-2 1673-3592 nnns volume:9 year:2014 number:3 month:09 pages:233-241 https://dx.doi.org/10.1007/s11465-014-0312-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 AR 9 2014 3 09 233-241 |
allfieldsSound |
10.1007/s11465-014-0312-z doi (DE-627)SPR019869282 (SPR)s11465-014-0312-z-e DE-627 ger DE-627 rakwb eng 620 ASE Shankar Ganesh, S. verfasserin aut Stiffness of a 3-degree of freedom translational parallel kinematic machine 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revolute (PRRR) joints. Inverse kinematics analysis is carried out to find the slider coordinates and joint angles for a given position of tool platform. Stiffness modeling is done based on the compliance matrices of arm and forearm of each limb. Using the stiffness modeling the variations of minimum and maximum translational stiffness in the workspace are analyzed. For various architectural parameters of the 3-DOF PKM the tendency of variations on the minimum and maximum stiffness over the entire workspace is studied; and also the deflections of the tool platform along X, Y, and Z directions with respect to various forces are presented. 3-DOF translational PKM (dpeaa)DE-He213 inverse kinematics (dpeaa)DE-He213 stiffness modeling (dpeaa)DE-He213 translational stiffness (dpeaa)DE-He213 Koteswara Rao, A. B. verfasserin aut Enthalten in Frontiers of mechanical engineering in China Berlin : Heidelberg : Springer, 2006 9(2014), 3 vom: Sept., Seite 233-241 (DE-627)510464319 (DE-600)2230609-2 1673-3592 nnns volume:9 year:2014 number:3 month:09 pages:233-241 https://dx.doi.org/10.1007/s11465-014-0312-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 AR 9 2014 3 09 233-241 |
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Enthalten in Frontiers of mechanical engineering in China 9(2014), 3 vom: Sept., Seite 233-241 volume:9 year:2014 number:3 month:09 pages:233-241 |
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Enthalten in Frontiers of mechanical engineering in China 9(2014), 3 vom: Sept., Seite 233-241 volume:9 year:2014 number:3 month:09 pages:233-241 |
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Stiffness of a 3-degree of freedom translational parallel kinematic machine |
abstract |
Abstract In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revolute (PRRR) joints. Inverse kinematics analysis is carried out to find the slider coordinates and joint angles for a given position of tool platform. Stiffness modeling is done based on the compliance matrices of arm and forearm of each limb. Using the stiffness modeling the variations of minimum and maximum translational stiffness in the workspace are analyzed. For various architectural parameters of the 3-DOF PKM the tendency of variations on the minimum and maximum stiffness over the entire workspace is studied; and also the deflections of the tool platform along X, Y, and Z directions with respect to various forces are presented. |
abstractGer |
Abstract In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revolute (PRRR) joints. Inverse kinematics analysis is carried out to find the slider coordinates and joint angles for a given position of tool platform. Stiffness modeling is done based on the compliance matrices of arm and forearm of each limb. Using the stiffness modeling the variations of minimum and maximum translational stiffness in the workspace are analyzed. For various architectural parameters of the 3-DOF PKM the tendency of variations on the minimum and maximum stiffness over the entire workspace is studied; and also the deflections of the tool platform along X, Y, and Z directions with respect to various forces are presented. |
abstract_unstemmed |
Abstract In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revolute (PRRR) joints. Inverse kinematics analysis is carried out to find the slider coordinates and joint angles for a given position of tool platform. Stiffness modeling is done based on the compliance matrices of arm and forearm of each limb. Using the stiffness modeling the variations of minimum and maximum translational stiffness in the workspace are analyzed. For various architectural parameters of the 3-DOF PKM the tendency of variations on the minimum and maximum stiffness over the entire workspace is studied; and also the deflections of the tool platform along X, Y, and Z directions with respect to various forces are presented. |
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