Skip to main content
SpringerLink
Log in

Approach for decoupling the non-linear cross-talk in a six-dimensional force platform

  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

Abstract

As the primary equipment for balance function assessment, the six-dimensional force platform (SDFP) should maintain its quality for long term use. Unfortunately the inevitable cross-talk will deteriorate its comprehensive performance. Obtaininga new sensitivity coefficient matrix through re-calibration is an effective way to guarantee the measurement accuracy. Generalized force loading can be used for in-situ calibration, but the calibration result depends on the selected set of loading point when the components are nonlinearly coupled.This study attempts to find an appropriate loading point set to obtain the optimal decoupling matrix for the SDFP when non-linearcoupling exists. The decoupling design of strain gauge layout and the non-linear coupling resulting from the bending deformation of the top plate are analyzed. Based on the analysis, a digital simulation is conducted to investigate the relationship between the decoupling performance and the selection of the loading points. The simulation results show that the center distance of the loading point is the primary factor affecting the decoupling performance. An in-situ calibration is conducted, and the orthogonal test rule is used to evaluate the performance of the system. A comparison of the results shows that the experimental results agree with those of the simulations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Veltink, P. H., Liedtke, C., Droog, E., and van der Kooij, H., “Ambulatory Measurement of Ground Reaction Forces,” IEEE Transactions on Neural Systems and Rehabilitation Engineering, Vol. 13, No. 3, pp. 423–427, 2005.

    Article  Google Scholar 

  2. McCaw, S. T. and DeVita, P., “Errors in Alignment of Center of Pressure and Foot Coordinates Affect Predicted Lower Extremity Torques,” Journal of Biomechanics, Vol. 28, No. 8, pp. 985–988, 1995.

    Article  Google Scholar 

  3. Kim, J., Kwon, Y., Eom, G.-M., Jun, J.-H., Lee, J.-W., and Tack, G.-R., “Effects of Vision, Age and Gender on Structural and Global Posturographic Features during Quiet Standing,” Int. J. Precis. Eng. Manuf., Vol. 13, No. 6, pp. 969–975, 2012.

    Article  Google Scholar 

  4. Psycharakis, S. G. and Miller, S., “Estimation of Errors in Force Platform Data,” Research Quarterly for Exercise and Sport, Vol. 77, No. 4, pp. 514–518, 2006.

    Article  Google Scholar 

  5. Cappello, A., Bagal, F., Cedraro, A., and Chiari, L., “Non-Linear Re-Calibration of Force Platforms,” Gait & Posture, Vol. 33, No. 4, pp. 724–726, 2011.

    Article  Google Scholar 

  6. Cedraro, A., Cappello, A., and Chiari, L., “A Portable System for In-Situ Re-Calibration of Force Platforms: Theoretical Validation,” Gait & posture, Vol. 28, No. 3, pp. 488–494, 2008.

    Article  Google Scholar 

  7. Liu, T., Inoue, Y., and Shibata, K., “Wearable Force Sensor with Parallel Structure for Measurement of Ground-Reaction Force,” Measurement, Vol. 40, No. 6, pp. 644–653, 2007.

    Article  Google Scholar 

  8. Fei, S. and Cheng, W. Z., “A Calibration Method for Six Dimensional Force Sensor Calibration Device,” CN Patent. No. CN200810020511.4, 2008.

    Google Scholar 

  9. Hall, M., Fleming, H., Dolan, M., Millbank, S., and Paul, J., “Static in Situ Calibration of Force Plates,” Journal of Biomechanics, Vol. 29, No. 5, pp. 659–665, 1996.

    Article  Google Scholar 

  10. Schmiedmayer, H.-B. and Kastner, J., “Parameters Influencing the Accuracy of the Point of Force Application Determined with Piezoelectric Force Plates,” Journal of Biomechanics, Vol. 32, No. 11, pp. 1237–1242, 1999.

    Article  Google Scholar 

  11. Schmiedmayer, H.-B. and Kastner, J., “Enhancements in the Accuracy of the Center of Pressure (COP) Determined with Piezoelectric Force Plates are Dependent on the Load Distribution,” Journal of Biomechanical Engineering, Vol. 122, No. 5, pp. 523–527, 2000.

    Article  Google Scholar 

  12. Chockalingam, N., Giakas, G., and Iossifidou, A., “Do Strain Gauge Force Platforms Need in Situ Correction?” Gait & Posture, Vol. 16, No. 3, pp. 233–237, 2002.

    Article  Google Scholar 

  13. Tang, Y., Ge, Y., and Gao, L, “A New Design of Six Axes Force Measuring Table based on Holistic Structure and the Study of Its Dynamic Characteristic,” Chinese Journal of Scientific Instrument, Vol. 24, pp. 536–539, 2003.

    Google Scholar 

  14. Collins, S. H., Adamczyk, P. G., Ferris, D. P., and Kuo, A. D., “A Simple Method for Calibrating Force Plates and Force Treadmills using an Instrumented Pole,” Gait & Posture, Vol. 29, No. 1, pp. 59–64, 2009.

    Article  Google Scholar 

  15. Rabuffetti, M., Ferrarin, M., Mazzoleni, P., Benvenuti, F., and Pedotti, A., “Optimised Procedure for the Calibration of the Force Platform Location,” Gait & Posture, Vol. 17, No. 1, pp. 75–80, 2003.

    Article  Google Scholar 

  16. Li, H.-B., Sui, C.-P., Wang, H.-G., Gao, L.-F., Zhao, M.-Y., and Gong, H.-l., “New Calibration Method of Six-Axis Force Sensor based on Stewart Platform,” Chinese Journal of Sensors and Actuators, Vol. 19, No. 1, pp. 132–136, 2006.

    Google Scholar 

  17. Ma, Y., Zhang, Y., and Kennedy, D., “A Symplectic Analytical Wave based Method for the Wave Propagation and Steady State Forced Vibration of Rectangular Thin Plates,” Journal of Sound and Vibration, Vol. 339, pp. 196–214, 2015.

    Article  Google Scholar 

  18. Wang, X., Wang, X., and Shi, X., “Accurate Buckling Loads of Thin Rectangular Plates under Parabolic Edge Compressions by the Differential Quadrature Method,” International Journal of Mechanical Sciences, Vol. 49, No. 4, pp. 447–453, 2007.

    Article  Google Scholar 

  19. Clough, R. W. and Tocher, J. L., “Finite Element Stiffness Matrices for Analysis of Plates in Bending,” Proc. of Conference on Matrix Methods on Structural Analysis, pp. 515–545, 1965.

    Google Scholar 

  20. Zienkiewicz, O. C. and Taylor, R. L., “The Finite Element Method: Solid Mechanics,” Butterworth-Heinemann, 2000.

    Google Scholar 

  21. Chen, Y., Zhang, J., Yang, C., and Niu, B., “The Workspace Mapping with Deficient-DOF Space for the Puma 560 Robot and Its Exoskeleton Arm by using Orthogonal Experiment Design Method,” Robotics and Computer-Integrated Manufacturing, Vol. 23, No. 4, pp. 478–487, 2007.

    Article  Google Scholar 

  22. Chan, K. Y., Kwong, C. K., and Luo, X. G., “Improved Orthogonal Array based Simulated Annealing for Design Optimization,” Expert Systems with Applications, Vol. 36, No. 4, pp. 7379–7389, 2009.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Instrument Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Zhiyong Mao, Ping Cai, Dian Wang & Rui Ji

Authors
  1. Zhiyong Mao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ping Cai
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Dian Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Rui Ji
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ping Cai.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mao, Z., Cai, P., Wang, D. et al. Approach for decoupling the non-linear cross-talk in a six-dimensional force platform. Int. J. Precis. Eng. Manuf. 17, 303–308 (2016). https://doi.org/10.1007/s12541-016-0038-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-016-0038-4

Keywords

Search

Navigation