Jerk Analysis of the Spine by Means of a Parallel Manipulator

In this work the kinematics of the end of the spine is simulated by means of a five-degree-of-freedom decoupled parallel manipulator. The displacement analysis is presented in a semi-closed form solution, whereas the velocity, acceleration and jerk analyses are carried out by means of the theory of screws.

[1]  T. Flash,et al.  The coordination of arm movements: an experimentally confirmed mathematical model , 1985, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[2]  K. E. Novak,et al.  Kinematic properties of rapid hand movements in a knob turning task , 2000, Experimental Brain Research.

[3]  P. Morasso Spatial control of arm movements , 2004, Experimental Brain Research.

[4]  C. Barus A treatise on the theory of screws , 1998 .

[5]  S Gracovetsky,et al.  The Optimum Spine , 1986, Spine.

[6]  H C Schamhardt,et al.  Determination of 3D spinal kinematics without defining a local vertebral coordinate system. , 1999, Journal of biomechanics.

[7]  N Yoganandan,et al.  Kinematics of the lumbar spine following pedicle screw plate fixation. , 1993, Spine.

[8]  M. Kawato,et al.  Formation and control of optimal trajectory in human multijoint arm movement , 1989, Biological Cybernetics.

[9]  E. J. Vrijenhoek,et al.  Arm position constraints during pointing and reaching in 3-D space. , 1997, Journal of neurophysiology.

[10]  P. Viviani,et al.  A developmental study of the relationship between geometry and kinematics in drawing movements. , 1991, Journal of experimental psychology. Human perception and performance.

[11]  J. D. Everett A Treatise on the Theory of Screws , 1901, Nature.

[12]  Hideki Yoshikawa,et al.  Kinematics of the Cervical Spine in Lateral Bending: In Vivo Three-Dimensional Analysis , 2006, Spine.

[13]  Douglas Wardlaw,et al.  Effects of X-Stop Device on Sagittal Lumbar Spine Kinematics in Spinal Stenosis , 2006, Journal of spinal disorders & techniques.

[14]  T. Flash,et al.  Minimum-jerk, two-thirds power law, and isochrony: converging approaches to movement planning. , 1995, Journal of experimental psychology. Human perception and performance.

[15]  S. M. McGill,et al.  Lumbar spine kinematics obtained from videofluoroscopy , 1992 .

[16]  Jaime Gallardo-Alvarado,et al.  Analytical Solution of the Forward Position Analysis of Parallel Manipulators That Generate 3-RS Structures , 2008, Adv. Robotics.

[17]  Hideki Yoshikawa,et al.  Kinematics of the Subaxial Cervical Spine in Rotation In Vivo Three-Dimensional Analysis , 2004, Spine.

[18]  J. M. Rico-Martinez,et al.  Solving the kinematics and dynamics of a modular spatial hyper-redundant manipulator by means of screw theory , 2008 .

[19]  G. Jull,et al.  An in vivo study of the primary and coupled rotations of the thoracic spine. , 1996, Clinical biomechanics.

[20]  E. R. Crossman,et al.  Feedback Control of Hand-Movement and Fitts' Law , 1983, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[21]  Joseph James Duffy,et al.  An application of screw algebra to the acceleration analysis of serial chains , 1996 .

[22]  Zhen Huang,et al.  Feasible Human-Spine Motion Simulators Based on Parallel Manipulators , 2008 .

[23]  M M Panjabi,et al.  Cervical spine motion in the sagittal plane: kinematic and geometric parameters. , 1982, Journal of Biomechanics.

[24]  M M Panjabi,et al.  Basic biomechanics of the spine. , 1980, Neurosurgery.

[25]  Carlo Innocenti,et al.  Direct position analysis of the Stewart platform mechanism , 1990 .

[26]  Catherine Avril Holt,et al.  DEVELOPING A METHODOLOGY FOR THE ANALYSIS OF INFANT SPINE KINEMATICS FOR THE INVESTIGATION OF THE SHAKEN BABY SYNDROME , 2008 .

[27]  David E. Krebs,et al.  High curvature and jerk analyses of arm ataxia , 2001, Biological Cybernetics.

[28]  Jaap H van Dieën,et al.  Regional Changes in Spine Posture at Lift Onset With Changes in Lift Distance and Lift Style , 2007, Spine.

[29]  J. Gallardo-Alvarado,et al.  Finding the jerk properties of multi-body systems using helicoidal vector fields , 2008 .

[30]  Stefania Fatone,et al.  A Kinematic Model to Assess Spinal Motion During Walking , 2006, Spine.

[31]  Roger W Nightingale,et al.  A kinematic and anthropometric study of the upper cervical spine and the occipital condyles. , 2007, Journal of biomechanics.

[32]  Yoshinobu Sato,et al.  Kinematics of the Upper Cervical Spine in Rotation: In Vivo Three-Dimensional Analysis , 2004, Spine.