Visualization of hydraulic cylinder dynamics by a structure preserving nondimensionalization

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.