Two chamber rotary hydraulic cylinder (IH)#

The Two chamber rotary hydraulic cylinder (IH) block models a rotary actuator in an isothermal fluid network that converts the pressure difference between the two cylinder chambers into torque.

1. Mass conservation equations for each chamber (1) :

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

where:

\(\dot{m}\) – liquid flow rate, [kg/s];

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

\(\omega\) - angular velocity of piston movement, [rad/s];

D - volumetric displacement of the piston, [m\(^3\)/rad];

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

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

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

Piston angular velocity (2):

(2)#\[\omega=\frac{d\theta}{dt}\]

\(\omega\) - angular velocity of the piston, [rad/s];

\( heta\) - angular displacement of the piston, [rad].

Chamber volume (3):

(3)#\[V=V_{dead}+D\cdot \theta\]

where:

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

D - volumetric displacement of the piston, [m\(^3\)/rad];

\( heta\) - angular displacement of the piston, [rad].

Torque equation (4):

(4)#\[M=D\cdot (p_1-p_2)\]

where:

M - torque, [N\(\cdot\)m];

D - volumetric displacement of the piston, [m\(^3\)/rad];

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

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

1. Properties#

Property	Default Value	Description	Units of measurement
Rotary piston stroke	0.1	-	rad
Initial interface rotation from chamber 1	0	-	rad
Chamber 1 interface volume displacement	0.015	-	m\(^3\)/rad
Chamber 1 dead volume	1.0E-6	-	m\(^3\)
Chamber 1 initial liquid pressure	15000.0	-	Pa
Chamber 2 interface volume displacement	0.015	-	m\(^3\)/rad
Chamber 2 dead volume,	1.0E-6	-	m\(^3\)
Chamber 2 initial liquid 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
Torque	Output	-	N\(\cdot\)m	Rotational motion

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