Visualization of hydraulic cylinder dynamics by a structure preserving nondimensionalization

Satoru Sakai*, Stefano Stramigioli

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    16 Citations (Scopus)
    192 Downloads (Pure)


    This paper reveals a new simplicity of a nominal hydraulic cylinder model whose original representation suffers from too many physical parameters. The eight-dimensional (8-D) parameter space in the original representation is reduced to a 3-D parameter space in the proposed nondimensional representation while preserving the parametric structure. To clarify comprehensive relations between the nonlinear dynamics and many physical parameters, an advanced direct search approach is suggested. More precisely, we can repeat the fast computation of the nonlinear dynamics and the updates of only three parameters without verifying any new simulator. The efficient visualization of the numerical solutions presents the best possible result corresponding to the analytical solution.

    Original languageEnglish
    Article number8409342
    Pages (from-to)2196-2206
    Number of pages11
    JournalIEEE/ASME transactions on mechatronics
    Issue number5
    Early online date10 Jul 2018
    Publication statusPublished - 1 Oct 2018


    • Fast computation
    • Hydraulic systems
    • Nonlinear dynamics
    • Visualization


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