Plunger Cylinder $—$ Single acting plunger cylinder

This model is a plunger cylinder with a single rod and damping at the end modeled with a spring and damper. This model has one active volume with external leakage. External leakage can be turned off by clearing the hasExternalLeakage setting (found under the Properties tab ( ) in the Parameters $\to$  Leakage section).

Cylinder Geometry This is a simplified overview of the geometric parameters defining the cylinder geometry:

Mechanical Friction This model includes Stribeck Friction (see the following figure).

Variables

 Name Value Units Description Modelica ID $\mathrm{chamber}$ Chamber chamber $\mathrm{pistonInCylinder}$ Single rod piston in a cylinder pistonInCylinder $\mathrm{friction}$ Friction between piston and cylinder friction external leakage External leakage externalLeakage $\mathrm{environment}$ environment ${p}_{A\left(\mathrm{summary}\right)}$ ${p}_{A}$ $\mathrm{Pa}$ Pressure at port A summary_pA ${P}_{\mathrm{mech}\left(\mathrm{summary}\right)}$ [1] $W$ Mechanical translational power summary_MP ${f}_{b\left(\mathrm{summary}\right)}$ ${f}_{b}$ $N$ Force acting on flange b summary_fb ${f}_{\mathrm{bearing}\left(\mathrm{summary}\right)}$ $\mathrm{mount.f}$ $N$ Force acting on bearing summary_fbearing ${q}_{\mathrm{cham}\left(\mathrm{summary}\right)}$ $\mathrm{chamber.qcham}$ $\frac{{m}^{3}}{s}$ Flow rate flowing into Chamber summary_qCham ${\mathrm{stroke}}_{\mathrm{summary}}$ [2] $m$ Cylinder stroke summary_stroke ${v}_{\mathrm{summary}}$ [3] $\frac{m}{s}$ Cylinder velocity summary_v ${P}_{\mathrm{hyd}\left(\mathrm{summary}\right)}$ $\mathrm{chamber.summary_HP}$ $W$ Hydraulic Power in chamber A summary_HP

[1] ${f}_{b}^{{\stackrel{.}{s}}_{b}}+{f}_{\mathrm{mount}}{\stackrel{.}{s}}_{\mathrm{mount}}$

[2] $\mathrm{pistonInCylinder.motion.s_rel}$

[3] $\mathrm{pistonInCylinder.motion.v_rel}$

Connections

 Name Description Modelica ID ${\mathrm{port}}_{A}$ Port A, where oil flows into the component (positive q, port_A.p > chamberA.p means positive dp) port_A ${\mathrm{flange}}_{b}$ Piston rod mounting point b flange_b $\mathrm{mount}$ Cylinder housing mounting point. mount

Parameters

General Parameters

 Name Default Units Description Modelica ID ${\ell }_{\mathrm{rod}}$ $\frac{1}{2}$ $m$ Length of rod RodLength ${\ell }_{\mathrm{housing}}$ $2$ $m$ Length of housing HousingLength ${m}_{\mathrm{piston}}$ $100$ $\mathrm{kg}$ Effective mass of piston and rigidly coupled masses PistonMass ${c}_{A}$ ${10}^{8}$ $\frac{N}{m}$ Stiffness of stop at stroke end A c_A ${d}_{A}$ ${10}^{6}$ $\frac{Ns}{m}$ Damping of stop at stroke end A d_A ${V}_{\mathrm{dead}}$ $0.001$ ${m}^{3}$ Dead volume of chamber if piston is at left end of housing (side a: stroke = 0) dead_volume ${A}_{\mathrm{piston}}$ $0.01$ ${m}^{2}$ Piston area piston_area ${k}_{p}$ $0$ Pressure damping coefficient kp ${\mathrm{ΔT}}_{\mathrm{system}}$ $0$ $K$ Temperature offset from system temperature dT_system $\mathrm{reverse}$ $\mathrm{false}$ Reverse the positive flow in the component reverse

Friction Parameters

 Name Default Units Description Modelica ID ${f}_{\mathrm{breakaway}}$ $100$ $N$ breakaway_friction ${f}_{\mathrm{mixed}}$ $10$ $N$ mixed_friction ${v}_{f\left(\mathrm{mixed}\right)}$ $\frac{1}{10}$ $\frac{m}{s}$ mixed_friction_velocity ${d}_{\mathrm{viscous}}$ $2.5·{10}^{3}$ $\frac{Ns}{m}$ viscous_damping $\mathrm{tabular}$ $\mathrm{false}$ If true, use tabular models, else an analytic one Tabular ${f}_{\mathrm{pos}}$ $\left[0.,1.\right]$ [v, f] Positive sliding friction characteristic (v>=0) f_pos

Initialization Parameters

 Name Default Units Description Modelica ID initial stroke $\frac{1}{2}{\ell }_{\mathrm{housing}}$ $m$ Initial stroke of cylinder, default is middle position InitialStroke

Leakage Parameters

 Name Default Units Description Modelica ID has external leakage $\mathrm{true}$ If true, external leakage at rod seal is included hasExternalLeakage ${G}_{\mathrm{ext}}$ $4.2·{10}^{-13}$ $\frac{{m}^{3}}{s\mathrm{Pa}}$ Hydraulic conductance for external leakage G_ext