Letter to the Editor: Joint Moments in the Joint Coordinate System, Euler or Dual Euler Basis

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Raphaël Dumas ◽  
Laurence Cheze
Keyword(s):  
Coordinate System ◽  
Joint Moments ◽  
Letter To The Editor ◽  
Joint Coordinate System

Expression of Joint Moment in the Joint Coordinate System

2010 ◽  
Vol 132 (11) ◽  
Author(s):  
Guillaume Desroches ◽  
Laurence Chèze ◽  
Raphaël Dumas
Keyword(s):  
Coordinate System ◽  
Orthogonal Projection ◽  
Mechanical Action ◽  
Joint Moment ◽  
Joint Moments ◽  
Orthogonal Projections ◽  
Motor Torque ◽  
Moment Vector ◽  
Nonorthogonal Projections ◽  
Joint Coordinate System

The question of using the nonorthogonal joint coordinate system (JCS) to report joint moments has risen in the literature. However, the expression of joint moments in a nonorthogonal system is still confusing. The purpose of this paper is to present a method to express any 3D vector in a nonorthogonal coordinate system. The interpretation of these expressions in the JCS is clarified and an example for the 3D joint moment vector at the shoulder and the knee is given. A nonorthogonal projection method is proposed based on the mixed product. These nonorthogonal projections represent, for a 3D joint moment vector, the net mechanical action on the JCS axes. Considering the net mechanical action on each axis seems important in order to assess joint resistance in the JCS. The orthogonal projections of the same 3D joint moment vector on the JCS axes can be characterized as “motor torque.” However, this interpretation is dependent on the chosen kinematic model. The nonorthogonal and orthogonal projections of shoulder joint moment during wheelchair propulsion and knee joint moment during walking were compared using root mean squares (rmss). rmss showed differences ranging from 6 N m to 22.3 N m between both projections at the shoulder, while differences ranged from 0.8 N m to 3.0 N m at the knee. Generally, orthogonal projections were of lower amplitudes than nonorthogonal projections at both joints. The orthogonal projection on the proximal or distal coordinates systems represents the net mechanical actions on each axis, which is not the case for the orthogonal projection (i.e., motor torque) on JCS axes. In order to represent the net action at the joint in a JCS, the nonorthogonal projection should be used.

Interpretation of Ankle Joint Moments during the Stance Phase of Walking: A Comparison of Two Orthogonal Axes Systems

2001 ◽  
Vol 17 (2) ◽  
pp. 173-180 ◽  
Author(s):  
Adrienne E. Hunt ◽  
Richard M. Smith
Keyword(s):  
Coordinate System ◽  
Ankle Joint ◽  
Stance Phase ◽  
Reaction Force ◽  
Frontal Plane ◽  
Transverse Plane ◽  
The Body ◽  
Global Coordinate System ◽  
Coordinate Systems ◽  
Joint Moments

Three-dimensional ankle joint moments were calculated in two separate coordinate systems, from 18 healthy men during the stance phase of walking, and were then compared. The objective was to determine the extent of differences in the calculated moments between these two commonly used systems and their impact on interpretation. Video motion data were obtained using skin surface markers, and ground reaction force data were recorded from a force platform. Moments acting on the foot were calculated about three orthogonal axes, in a global coordinate system (GCS) and also in a segmental coordinate system (SCS). No differences were found for the sagittal moments. However, compared to the SCS, the GCS significantly (p < .001) overestimated the predominant invertor moment at midstance and until after heel rise. It also significantly (p < .05) underestimated the late stance evertor moment. This frontal plane discrepancy was attributed to sensitivity of the GCS to the degree of abduction of the foot. For the transverse plane, the abductor moment peaked earlier (p < .01) and was relatively smaller (p < .01) in the GCS. Variability in the transverse plane was greater for the SCS, and attributed to its sensitivity to the degree of rearfoot inversion. We conclude that the two coordinate systems result in different calculations of nonsagittal moments at the ankle joint during walking. We propose that the body-based SCS provides a more meaningful interpretation of function than the GCS and would be the preferred method in clinical research, for example where there is marked abduction of the foot.

ISB recommendation on definitions of joint coordinate system of various joints for the reporting of human joint motion—part I: ankle, hip, and spine

2002 ◽  
Vol 35 (4) ◽  
pp. 543-548 ◽  
Author(s):  
Ge Wu ◽  
Sorin Siegler ◽  
Paul Allard ◽  
Chris Kirtley ◽  
Alberto Leardini ◽  
...  
Keyword(s):  
Coordinate System ◽  
Joint Motion ◽  
Joint Coordinate System ◽  
Human Joint

Elastodynamics modeling of 4-SPS/CU parallel mechanism with flexible moving platform based on absolute nodal coordinate formulation

2017 ◽  
Vol 232 (21) ◽  
pp. 3843-3858 ◽  
Author(s):  
Gengxiang Wang
Keyword(s):  
Coordinate System ◽  
Parallel Mechanism ◽  
Absolute Nodal Coordinate Formulation ◽  
Dynamic Performance ◽  
Flexible Body ◽  
Surface Approach ◽  
Absolute Nodal Coordinate ◽  
Cylindrical Joint ◽  
Moving Platform ◽  
Joint Coordinate System

The moving platform of the 4-SPS/CU (S is the spherical joint, P is the prismatic joint, C is the cylindrical joint, U is the universal joint) parallel mechanism is treated as a thin-plate element based on the absolute nodal coordinate formulation due to its physical characteristic. In order to eliminate high-frequency modes caused by the coupling between membrane and bending effects, the elastic mid-surface approach is used to evaluate the elastic force of the flexible moving platform. In order to formulate constraint equations between the flexible body and the rigid body, the tangent frame is introduced to define the joint coordinate system that is rigidly attached to the node at the joint, which is convenient for determining the constant vector in the joint coordinate system. The dynamics model of the parallel mechanism with the flexible moving platform is built based on the equation of motion. The simulation results show that the vibration frequency caused by the flexible body will be increased with the increasing stiffness of the material, and the kinematic trajectory and dynamics performance of the parallel mechanism are affected seriously when the smaller Young’s modulus is used, which illustrates that the effect of the flexible moving platform on the dynamic performance of the parallel mechanism should not be ignored.

Mandibular kinematics represented by a non-orthogonal floating axis joint coordinate system

2003 ◽  
Vol 36 (2) ◽  
pp. 275-281 ◽  
Author(s):  
Joseph K. Leader ◽  
J.Robert Boston ◽  
Richard E. Debski ◽  
Thomas E. Rudy
Keyword(s):  
Coordinate System ◽  
Joint Coordinate System ◽  
Mandibular Kinematics

scholarly journals Concrete use of the joint coordinate system for the quantification of articular rotations in the digital joints of the horse

2000 ◽  
Vol 31 (3) ◽  
pp. 297-311 ◽  
Author(s):  
Christophe Degueurce ◽  
Henry Chateau ◽  
Viviane Pasqui-Boutard ◽  
Philippe Pourcelot ◽  
Fabrice Audigi� ◽  
...  
Keyword(s):  
Coordinate System ◽  
Joint Coordinate System

Development of an Anatomical Wrist Joint Coordinate System to Quantify Motion During Functional Tasks

2014 ◽  
Vol 30 (4) ◽  
pp. 586-593 ◽  
Author(s):  
Howard J. Hillstrom ◽  
Rohit Garg ◽  
Andrew Kraszewski ◽  
Mark Lenhoff ◽  
Timothy Carter ◽  
...  
Keyword(s):  
Coordinate System ◽  
Motion Analysis ◽  
Convergent Validity ◽  
Wrist Joint ◽  
Intraclass Correlation ◽  
Absolute Difference ◽  
Validity And Reliability ◽  
3D Motion ◽  
3D Motion Analysis ◽  
Joint Coordinate System

The purpose of this study was to develop a three-dimensional (3D) motion analysis based anatomical wrist joint coordinate system for measurement of in-vivo wrist kinematics. The convergent validity and reliability of the 3D motion analysis implementation was quantified and compared with manual and electrogoniometry techniques on 10 cadaveric specimens. Fluoroscopic measurements were used as the reference. The 3D motion analysis measurements (mean absolute difference [MAD] = 3.6°) were significantly less different (P < .005) than manual goniometry (MAD = 5.7°) but not (P = .066, power = 0.45) electrogoniometry (MAD = 5.0°) compared with fluoroscopy. The intraclass correlation coefficient (ICC[2,1]) was highest for 3D motion analysis compared with manual and electrogoniometry, suggesting better reliability for this technique. To demonstrate the utility of this new wrist joint coordinate system, normative data from 10 healthy subjects was obtained while throwing a dart.

Sign in / Sign up

Export Citation Format

Share Document