Engee documentation

Translational Inerter

Inertia in mechanical translational systems.

blockType: AcausalFoundation.Mechanical.Translational.Elements.Inerter

Path in the library:

/Physical Modeling/Fundamental/Mechanical/Translational/Elements/Translational Inerter

Description

Block Translational Inerter It is a device that gives a force proportional to the rate of change in relative velocity (acceleration) between ports. In fact, this is an inertia unit that operates on the speed difference between ports, and not on absolute speed. An inerter is the mechanical equivalent of a capacitor. An inerter with one port connected to a reference point essentially behaves like a mass, the value of which is equal to the inertia of the inerter.

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

The force transmitted through the inerter

Inertia

Relative velocity

Absolute speeds on ports R and C, respectively

Positive block direction from port R to port C. This means that the force is positive if it acts in the direction from R to C.

Ports

R — mechanical port
translational mechanics

Mechanical translational port.

C — mechanical port
translational mechanics

Mechanical translational port.

Parameters

Inertia, kg — inertia
1.0 kg (by default)

The coefficient of proportionality between the force and the rate of change of relative velocity.

Initial value of velocity, m/s — initial value of speed
0.0 (by default)

The initial speed value.

Initial value of force, N — initial value of force
0.0 (by default)

The initial value of the force.