This work is about planar rigid-body kinematics and, in particular, the principle of the instantaneous center of rotation (IC). Using a computer simulated approach, a workflow is presented that results in a visual representation of the locus of the IC, based on particle image velocimetry (PIV). Here, a small number of digital animations of textured objects are created with multibody dynamics software, and later imported in PIV software to extract the velocity field (magnitude and direction) of objects moving within a plane. We believe the workflow presented may help learners improve their understanding of the concept of the IC, thus enhancing their knowledge of rigid body kinematics.
References
1.
F. P.
Beer
et al., Vector Mechanics for Engineers: Dynamics
, 11th ed. (McGraw-Hill Higher Education
, New York
, 2015
).2.
3.
J. L.
Meriam
, L. G.
Kraige
, and J. N.
Bolton
, Engineering Mechanics: Dynamics
, 8th ed. (Wiley
, New York
, 2016
).4.
A. M.
Bedford
and W.
Fowler
, Engineering Mechanics: Dynamics
, 5th ed. (Pearson
, New York, 2008
).5.
D. C.
Giancoli
, Physics for Scientists and Engineers with Modern Physics and MasteringPhysics
. (Pearson Prentice Hall
, New York
, 2008
).6.
R.
Serway
and J.
Jewett
, Physics for Scientists and Engineers with Modern Physics
, 9th ed. (Nelson Education
, Toronto, Canada
, 2016
).7.
R.
Wolfson
, Essential University Physics: Pearson New International Edition
, 3rd ed. (Pearson
, New York, 2016
).8.
S.
Demircioglu
, K.
Yurumezoglu
, and H.
Isik
, “Demonstrating the direction of angular velocity in circular motion
,” Phys. Teach.
53
(6
), 360
–362
(2015
).9.
NX v10.0. Siemens PLM Software.
10.
Simwise 4D v9.5. Design Simulation Technologies.
11.
R. J.
Adrian
and J.
Westerweel
, Particle Image Velocimetry
(Cambridge U.P.
, Cambridge, U.K., 2011
).12.
M.
Raffel
et al., Particle Image Velocimetry: A Practical Guide
(Springer-Verlag, Berlin, Heidelberg
, 2007
).13.
A.
Schröder
and C. E.
Willert
, Particle Image Velocimetry: New Developments and Recent Applications
(Springer
, Berlin Heidelberg
, 2008
).14.
C. E.
Willert
and M.
Gharib
, “Digital particle image velocimetry
,” Expts. Fluids
10
(4
), 181
–193
(1991
).15.
W.
Thielicke
and E.
Stamhuis
, “PIVlab–Towards user-friendly, affordable and accurate digital particle image velocimetry in MATLAB
,” J. Open Res. Softw.
2
(1
), 1
–10
(2014
).16.
Matlab R2015. Mathworks.
17.
A.
De Ambrosis
et al., “Investigating the role of sliding friction in rolling motion: a teaching sequence based on experiments and simulations
,” Euro. J. Phys.
36
(3
), 035020
(2015
).18.
M.-L.
López
, “Angular and linear acceleration in a rigid rolling body: students' misconceptions
,” Euro. J. Phys.
24
(6
), 553
–562
(2003
).19.
L. G.
Rimoldini
and C.
Singh
, “Student understanding of rotational and rolling motion concepts
,” Phys. Rev. Phys. Ed. Res.
1
(1
), 010102
(2005
).20.
W.
Anderst
et al., “Motion path of the instant center of rotation in the cervical spine during in vivo dynamic flexion-extension implications for artificial disc design and evaluation of motion quality after arthrodesis
,” Spine
38
(10
), E594
–E601
(2013
).21.
E.
Baillargeon
and W. J.
Anderst
, “Sensitivity, reliability and accuracy of the instant center of rotation calculation in the cervical spine during in vivo dynamic flexion-extension
,” J. Biomech.
46
(4
), 670
–676
(2013
).22.
J. H.
Hollman
et al., “Gender differences in surface rolling and gliding kinematics of the knee
,” Clin. Ortho. Rel. R.
413
, 208
–221
(2003
).23.
J. D.
Moorehead
, S. C.
Montgomery
, and D. M.
Harvey
, “Instant center of rotation estimation using the Reuleaux technique and a Lateral Extrapolation technique
,” J. Biomech.
36
(9
), 1301
–1307
(2003
).24.
S. R.
Thomas
et al., “Geometrical analysis of Copeland surface replacement shoulder arthroplasty in relation to normal anatomy
,” J. Shoulder Elbow Surg.
14
(2
), 186
–192
(2005
).25.
G. R.
Pennock
and A.
Israr
, “Kinematic analysis and synthesis of an adjustable six-bar linkage
,” Mech. Mach. The.
44
(2
), 306
–323
(2009
).26.
J. K.
Lee
and J. K.
Shim
, “Validity and limitations of the kinematic roll center concept from the viewpoint of spatial kinematics using screw theory
,” Int. J. Automot. Technol.
12
(5
), 769
(2011
).27.
28.
J. T.
Whitney
, “Reactive steering, instant center, twin linkage system for use with tag trailers for improved towability and safety
,” Google Patents No. US 20140151978 A1 (2014
).29.
S. P.
Arnoczky
, P. A.
Torzilli
, and J. L.
Marshall
, “Biomechanical evaluation of anterior cruciate ligament repair in dog - analysis of instant center of motion
,” J. Am. Anim. Hosp. Assoc.
13
(5
), 553
–558
(1977
).30.
Algodoo v2.1. Algoryx. See http://www.algodoo.com.
31.
S.
Annerel
et al., “Validation of a numerical FSI simulation of an aortic BMHV by in vitro PIV experiments
,” Med. Eng. Phys.
36
(8
), 1014
–1023
(2014
).32.
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