Two chamber hydraulic cylinder (IH)#

The Two chamber hydraulic cylinder (IH) block simulates a hydraulic cylinder controlled by two liquid chambers. The force created depends on the pressure difference of the media in the chambers.

1. Mass conservation equations for chamber (1) :

(1)#\[\dot{m}=\rho \cdot S \cdot ϑ +\frac{1}{\beta}\cdot \frac{dp}{dt}\cdot \rho \cdot V\]

where:

\( ho\) - liquid density, [kg/m\(^3\)];

ϑ - piston speed, [m/s];

S - piston area, [m\(^2\)];

\(\beta\) - liquid modulus of elasticity, [Pa];

p - liquid pressure inside the chamber, [Pa];

V - volume of the hydraulic chamber, [m\(^3\)].

Piston speed (2):

(2)#\[ϑ=\frac{dx}{dt}\]

Chamber volume (3):

(3)#\[V=V_{dead}+S\cdot x\]

where:

\(V_{dead}\) - dead volume, [m\(^3\)];

x - piston position.

Force equation (4):

(4)#\[F=S\cdot (p_1-p_2)\]

where:

\(p_1\) - pressure in chamber 1, [Pa];

\(p_2\) - pressure in chamber 2, [Pa].

Important

The Two chamber hydraulic cylinder (IH) block does not have mechanical stops, in order to limit the piston movement, it is required to install them in the block Mass connected to the piston output port.

1. Properties#

Property	Default Value	Description	Units of measurement
Piston stroke	0.1	-	m
Initial piston displacement relative to chamber 1	0.1	-	m
Chamber 1 piston area	0.015	-	m\(^2\)
Chamber 1 dead volume	1.0E-6	-	m\(^3\)
Initial chamber 1 gauge pressure	15000.0	-	Pa
Chamber 2 piston area	0.015	-	m\(^2\)
Chamber 2 dead volume	1.0E-6	-	m\(^3\)
Initial chamber 2 gauge pressure	15000.0	-	Pa

2. Inputs and outputs#

Parameters	Input/Output	Description	Units of measurement	Port type
Input chamber 1	Input	-	-	Isothermal hydraulics
Input chamber 2	Input	-	-	Isothermal hydraulics
Force	Output	-	N	Translational motion

In order to see the connection capabilities of the block, you need to go to page Description of block ports