{"id":595,"date":"2014-01-07T13:50:59","date_gmt":"2014-01-07T20:50:59","guid":{"rendered":"http:\/\/bestperformancegroup.com\/?page_id=595"},"modified":"2014-09-25T01:16:16","modified_gmt":"2014-09-25T08:16:16","slug":"kinematic-chains","status":"publish","type":"page","link":"http:\/\/bestperformancegroup.com\/?page_id=595","title":{"rendered":"Kinematic Chains"},"content":{"rendered":"<p>As discussed in the blog post about <a href=\"http:\/\/bestperformancegroup.com\/?page_id=541\" target=\"_blank\">rigid body mechanics<\/a>, the human body is typically modeled as a multilink system comprising several rigid body segments connected by joints. \u00a0<a href=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/037001_1_7.png\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-504\" src=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/037001_1_7.png?resize=300%2C236\" alt=\"037001_1_7\" width=\"300\" height=\"236\" srcset=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/037001_1_7.png?resize=300%2C236 300w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/037001_1_7.png?resize=381%2C300 381w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/037001_1_7.png?w=978 978w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a>In biomechanics, a linkage of rigid bodies is referred to as a\u00a0<em style=\"color: #000000;\">kinematic chain<\/em>. \u00a0A set of two adjacent links connected with one joint is called a\u00a0<em style=\"color: #000000;\">kinematic pair<\/em>. \u00a0Kinematic chains are either serial (simple) or branched (complex). \u00a0In serial chains, each of the links is part of no more than two kinematic pairs. \u00a0A branched chain contains at least one link to that is part of more than two kinematic pairs. \u00a0A human leg or arm can be considered a serial kinematic chain. \u00a0When the trunk is also considered and articulations within the trunk are ignored, the chain is branched. \u00a0The trunk enters five kinematic pairs: the 2 hip joints, the 2 shoulder joints, and the trunk-neck articulation.<\/p>\n<p>Kinematic chains are also further classified as\u00a0<em style=\"color: #000000;\">open<\/em>\u00a0or\u00a0<em style=\"color: #000000;\">closed<\/em>. \u00a0<a href=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/0199210896.kinematic-couple.1.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-506\" src=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/0199210896.kinematic-couple.1.jpg?resize=300%2C237\" alt=\"0199210896.kinematic-couple.1\" width=\"300\" height=\"237\" srcset=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/0199210896.kinematic-couple.1.jpg?resize=300%2C237 300w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/0199210896.kinematic-couple.1.jpg?resize=379%2C300 379w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/0199210896.kinematic-couple.1.jpg?w=525 525w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a>The kinematic chain is referred to as open if one end of the chain (e.g., the distal segment) is free to move with end effector mobility. \u00a0In closed chain, constraints are imposed on both ends of the chain.<\/p>\n<p>Nonstationary (temporary) constraints are typical for many human movements especially in sports, such as constraints imposed during the support periods in walking, running, and sprinting. \u00a0<a href=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/sprint-workout1.png\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-513\" src=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/sprint-workout1.png?resize=300%2C216\" alt=\"sprint-workout1\" width=\"300\" height=\"216\" srcset=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/sprint-workout1.png?resize=300%2C216 300w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/sprint-workout1.png?resize=415%2C300 415w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/sprint-workout1.png?w=436 436w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a>Body positions can be classified according to the number of extremities in contact with a fixed external reference system:<\/p>\n<ol>\n<li>Non-support (NS): such as in sprinting during the airborne phase, a high diver, or a gymnast performing an aerial.<a href=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/gabbyweb3s-3-web.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-514\" src=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/gabbyweb3s-3-web.jpg?resize=300%2C212\" alt=\"gabbyweb3s-3-web\" width=\"300\" height=\"212\" srcset=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/gabbyweb3s-3-web.jpg?resize=300%2C212 300w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/gabbyweb3s-3-web.jpg?resize=423%2C300 423w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/gabbyweb3s-3-web.jpg?w=635 635w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a><\/li>\n<li>Single support (SS): such as in walking, running, or throwing activities.<a href=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/78377886.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-516\" src=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/78377886.jpg?resize=300%2C199\" alt=\"78377886\" width=\"300\" height=\"199\" srcset=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/78377886.jpg?resize=300%2C199 300w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/78377886.jpg?resize=451%2C300 451w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/78377886.jpg?w=600 600w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a><\/li>\n<li>Double support (DS): such as in the golf swing, baseball swing, throwing motion, or jumping activities.<a href=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/20110808_06.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-515\" src=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/20110808_06.jpg?resize=300%2C196\" alt=\"20110808_06\" width=\"300\" height=\"196\" srcset=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/20110808_06.jpg?resize=300%2C196 300w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/20110808_06.jpg?resize=457%2C300 457w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/20110808_06.jpg?w=640 640w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a><\/li>\n<li>Triple support (TS): such as walking with a cane.<a href=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Brad_Main_1434567a.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-518\" src=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Brad_Main_1434567a.jpg?resize=221%2C300\" alt=\"Brad_Main_1434567a\" width=\"221\" height=\"300\" srcset=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Brad_Main_1434567a.jpg?resize=221%2C300 221w, https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Brad_Main_1434567a.jpg?w=532 532w\" sizes=\"(max-width: 221px) 100vw, 221px\" data-recalc-dims=\"1\" \/><\/a><\/li>\n<li>Quadruple support (QS): such as walking with support rails.<\/li>\n<\/ol>\n<p><a href=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/WalkingRails.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-517\" src=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/WalkingRails.jpg?resize=300%2C115\" alt=\"WalkingRails\" width=\"300\" height=\"115\" srcset=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/WalkingRails.jpg?resize=300%2C115 300w, https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/WalkingRails.jpg?resize=500%2C193 500w, https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/WalkingRails.jpg?w=735 735w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a>Kinematic chains can also be classified by the closed loops formed by the extremities that are not in contact with the fixed external system:<\/p>\n<ol>\n<li>Open loop (OL): such as in running or throwing motion.<a href=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/hi-res-137116226_display_image.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-520\" src=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/hi-res-137116226_display_image.jpg?resize=300%2C199\" alt=\"hi-res-137116226_display_image\" width=\"300\" height=\"199\" srcset=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/hi-res-137116226_display_image.jpg?resize=300%2C199 300w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/hi-res-137116226_display_image.jpg?w=350 350w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a><\/li>\n<li>Single-closed loop (SL): such as in the golf swing or baseball batting.<a href=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/inar01_tigerwoods.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-493\" src=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/inar01_tigerwoods.jpg?resize=300%2C261\" alt=\"inar01_tigerwoods\" width=\"300\" height=\"261\" srcset=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/inar01_tigerwoods.jpg?resize=300%2C261 300w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/inar01_tigerwoods.jpg?resize=344%2C300 344w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/inar01_tigerwoods.jpg?w=470 470w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a><\/li>\n<li>Double closed loop (DL):such as in figure skaters or gymnast with hands constrained body.<\/li>\n<\/ol>\n<p><a href=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/backward-somersault.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-519\" src=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/backward-somersault.jpg?resize=300%2C150\" alt=\"backward-somersault\" width=\"300\" height=\"150\" srcset=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/backward-somersault.jpg?resize=300%2C150 300w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/backward-somersault.jpg?resize=500%2C250 500w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/backward-somersault.jpg?w=550 550w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a>Some meaningful sports examples showing differences in support and open\/closed loops are:<\/p>\n<ol>\n<li>A pitcher in single leg support (SS-OL).<a href=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/images-2.jpg\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-490\" src=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/images-2.jpg?resize=268%2C188\" alt=\"images (2)\" width=\"268\" height=\"188\" data-recalc-dims=\"1\" \/><\/a><\/li>\n<li>A pitcher in double leg support (DS-OL).<a href=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/DerekLoweMaxExtRot.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-491\" src=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/DerekLoweMaxExtRot.jpg?resize=300%2C225\" alt=\"DerekLoweMaxExtRot\" width=\"300\" height=\"225\" srcset=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/DerekLoweMaxExtRot.jpg?resize=300%2C225 300w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/DerekLoweMaxExtRot.jpg?resize=399%2C300 399w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/DerekLoweMaxExtRot.jpg?w=865 865w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a><\/li>\n<li>A baseball batter in stride holding onto a bat (SS-SCL).<a href=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Kosuke_Fukudome_-_2008_-_cropped.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-522\" src=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Kosuke_Fukudome_-_2008_-_cropped.jpg?resize=199%2C300\" alt=\"Kosuke_Fukudome_-_2008_-_cropped\" width=\"199\" height=\"300\" srcset=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Kosuke_Fukudome_-_2008_-_cropped.jpg?resize=199%2C300 199w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Kosuke_Fukudome_-_2008_-_cropped.jpg?resize=682%2C1024 682w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Kosuke_Fukudome_-_2008_-_cropped.jpg?w=1517 1517w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Kosuke_Fukudome_-_2008_-_cropped.jpg?w=1168 1168w\" sizes=\"(max-width: 199px) 100vw, 199px\" data-recalc-dims=\"1\" \/><\/a><\/li>\n<li>A golfer in (DS-SCL).<\/li>\n<\/ol>\n<p><a href=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2012\/05\/golf_video.gif\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-388\" src=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2012\/05\/golf_video.gif?resize=350%2C254\" alt=\"golf_video\" width=\"350\" height=\"254\" data-recalc-dims=\"1\" \/><\/a>Some sports activities are harder to describe and analyze because the athlete will change the kinematic chain body positions during the activity: baseball pitching is one of the more difficult sports motions to understand loading as the pitcher goes from SS on pitching side leg, to DS during powerful hip and shoulder rotations, to SS on glove side leg at the finish. \u00a0This change in loading scenarios with external systems causes a lot of confusion.<a href=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/trevor-bauer-o.gif\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-524\" src=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/trevor-bauer-o.gif?resize=320%2C240\" alt=\"trevor-bauer-o\" width=\"320\" height=\"240\" data-recalc-dims=\"1\" \/><\/a>Baseball batting mechanics also exhibit a similar pattern (SS-SCL to DS-SCL).<a href=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/dleeside.gif\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-521\" src=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/dleeside.gif?resize=203%2C200\" alt=\"dleeside\" width=\"203\" height=\"200\" data-recalc-dims=\"1\" \/><\/a><\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon-text sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-595\" class=\"share-twitter sd-button share-icon\" 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