and Applied Mechanics
57, 1, pp. 99-113, Warsaw 2019
DOI: 10.15632/jtam-pl.57.1.99
An inverse kinematic model of the human training centrifuge motion simulator
verify newly defined absolute acceleration profiles. The modelling is concerned with a human
training centrifuge with three degrees of freedom. The values of kinematic parameters have
been obtained for this three-jointed manipulator. Validation of the developed model has been
performed by comparing the results obtained from the centrifuge motion simulator with the
results of numerical simulations. The simulation revealed that the inverse kinematic model
enabled calculation of the angular displacement, velocity and acceleration of the links that
are needed for the given linear acceleration of the simulator cabin.
References
AMST-Systemtechnik GmbH, 2011, User manual Human Training Centrifuge HTC-07
Baillieul J., 1985, Kinematic programming alternatives for redundant manipulators, Proceedings
of 1985 IEEE International Conference on Robotics and Automation, St. Louis, MO, USA, 722-728
Buss S.R., Kim J.S., 2005, Selectively damped least squares for inverse kinematics, Journal of
Graphics Tools, 10, 37-49
Chen Y.C., Repperger D.W., 1996, A study of the kinematics, dynamics and control algorithms
for a centrifuge motion simulator, Mechatronics, 6, 829-852
Crosbie R.J., 1988, Dynamic Flight Simulator Control System, United States Patent, Number 4,751,662
Dančuo Z., Rasuo B., Bengin A., Zeljkovic V., 2018, Flight to Mars: Envelope simulation
in a ground based high-performance human centrifuge, FME Transactions, 46, 1-9
Dančuo Z., Rasuo B., Vidaković J., Kvrgić V., Bućan M., 2013, On mechanics of a high-G
human centrifuge, Proceedings in Applied Mathematics and Mechanics, 39-40
Dančuo Z., Vidaković J., Kvrgic V., Ferenc G., Lutovac M., 2012a, Modeling a human
centrifuge as three-DoF robot manipulator, 2012 Mediterranean Conference on Embedded Compu-
ting, MECO, IEEE, 149-152 ISBN 9940943601
Dančuo Z., Zeljković V., Raˇsuo B., Dapić M., 2012b, High-G training profiles in a high
performance human centrifuge, Scientific and Technical Review, 62, 64-69
Djuric A., Al Saidi R., Elmaraghy W., 2012, Dynamics solution of n-DOF global machinery
model, Robotics and Computer-Integrated Manufacturing, 28, 621-630
Gherman B., Pisla D., Vaida C., Plitea N., 2012, Development of inverse dynamic model for
a surgical hybrid parallel robot with equivalent lumped masses, Robotics and Computer-Integrated
Manufacturing, 28, 402-415
Grotjahn M., Heimann B., Kuehn J., Grendel H., 2004, Dynamics of robots with parallel
kinematic structure, The 11th World Congress in Mechanism and Machine Science, 1689-1693
Kvrgic V.M., Vidaković J., Lutovac M.M., Ferenc G.Z., Cvijanovic V.B., 2014, A control
algorithm for a centrifuge motion simulator, Robotics and Computer-Integrated Manufacturing, 30, 399-412
Liwen G., Hui L.I.U., Meng F.U., 2015, Real-time motion planning algorithm for dynamic
flight simulators (in Chinese), Tsinghua Science and Technology, 55, 709-715
Nakamura Y., Hanafusa H., 1986, Inverse kinematic solutions with singularity robustness for
robot manipulator control, Journal of Dynamic Systems Measurement and Control, 108, 163-171
Nearchou A.C., 1998, Solving the inverse kinematics problem of redundant robots operating
in complex environments via a modified genetic algorithm, Mechanism and Machine Theory, 33, 273-292
Newman D.G., 2015, High G Flight: Physiological Effects and Countermeasures, 1st ed., Ashgate
Publishing Ltd., Monash University, Australia, ISBN 9781472414571
Siciliano B., Sciavicco L., Villani L., Oriolo G., 2009, Robotics: Modelling, Planning and
Control, Soft Computing, Springer, ISBN 9781846286414
Tejomurtula S., Kak S., 1999, Inverse kinematics in robotics using neural networks, Information
Sciences (Ny), 116, 147-164
Truszczyński O., Kowalczuk K., 2012, The Polish centrifuge as a dynamic flight simulator.
New application and ideas, Polish Journal of Aviation Medicine and Psychology, 18, 71-80
Tsai L., 1999, Robot Analysis: the Mechanics of Serial and Parallel Manipulators, 1st ed., John
Wiley & Sons, Inc., New York, NY, USA, ISBN 978-0-471-32593-2
Vidaković J., Ferenc G., Lutovac M., Kvrgic V., 2012, Development and implementation of
an algorithm for calculating angular velocity of main arm of human centrifuge, 15th International
Power Electronics and Motion Control Conference (EPE/PEMC), Novi Sad, Serbia, DS2a.17-1-
-DS2a.17-6
Vidaković J., Lazarevic M., Kvrgic V.M., Danˇcuo Z., Lutovac M.M., 2013, Comparison
of numerical simulation models for open loop flight simulations in the human centrifuge, Proceedings
in Applied Mathematics and Mechanics, 485-486
Wampler C.W., 1986, Manipulator inverse kinematic solutions based on vector formulations and
damped least-squares methods, IEEE Transactions on Systems, Man, and Cybernetics, 16, 93-101
Wojtkowiak M., 1991, Human centrifuge training of men with lowered +Gz acceleration tolerance,
Physiologist, 34, 80-82
Wolovich W.A., Elliott H., 1984, A computational technique for inverse kinematics, The 23rd
IEEE Conference on Decision and Control, Las Vegas, Nevada, USA, 1359-1363
Wrigge S., 1981, Calculation of the Taylor series expansion coefficients of the Jacobian elliptic
function sn(x, k), Mathematics of Computation, 36, 555-564
Wu J., Chen X., Li T., Wang L., 2013, Optimal design of a 2-DOF parallel manipulator
with actuation redundancy considering kinematics and natural frequency, Robotics and Computer-
-Integrated Manufacturing, 29, 80-85
Wu J., Wang J., Wang L., Li T., 2009, Dynamics and control of a planar 3-DOF parallel
manipulator with actuation redundancy, Mechanism and Machine Theory, 44, 835-849
Wu J., Wang J., You Z., 2010, An overview of dynamic parameter identification of robots,
Robotics and Computer-Integrated Manufacturing, 26, 414-419
Zhao Y., Gao F., 2009, Inverse dynamics of the 6-DOF out-parallel manipulator by means of the
principle of virtual work, Robotica, 27, 259-268