Rotational Inerter
Inertia in mechanical rotational systems.
blockType: AcausalFoundation.Mechanical.Rotational.Elements.Inerter
|
Path in the library: |
Description
Block Rotational Inerter It is a device that gives a torque proportional to the rate of change in the relative angular velocity (angular acceleration) between the ports. In fact, this is an inertia unit that operates on the speed difference between ports, and not on absolute speed.
This unit can be used in models of high-performance suspension systems or in modeling a passively tuned reaction of the mass-spring-shock absorber type.
The block is described by the following equations:
Where
|
Torque transmitted through the unit |
|
Moment of inertia of rotation |
|
Relative angular velocity |
|
Absolute angular velocities at ports R and C, respectively |
The positive direction of the block is from port R to port C. This means that the torque is positive if it acts in the direction from R to C.
Ports
R — rod
rotational mechanics
A mechanical rotation port connected to a shaft, that is, to a moving body.
C — case
rotational mechanics
A mechanical rotation port connected to the body, that is, to a stationary body.
Parameters
Rotational inertia, kg*m^2 — moment of inertia
1.0 kg*m2 (by default)
The coefficient of proportionality between the torque and the rate of change of the relative angular velocity.
Initial value of rotational velocity, rad/s — initial value of angular velocity, rad/s
0.0 (by default)
The initial value of the angular velocity.
Initial value of torque, N*m — initial value of torque
0.0 (by default)
The initial value of the torque.