Engee documentation

Rotational Inerter

Inertia in mechanical rotational systems.

blockType: AcausalFoundation.Mechanical.Rotational.Elements.Inerter

Path in the library:

/Physical Modeling/Fundamental/Mechanical/Rotational/Elements/Rotational Inerter

Description

Block Rotational Inerter It is a device that emits a torque proportional to the rate of change in relative angular velocity (angular acceleration) between ports. In fact, this is an inertia unit that operates on the speed difference between ports, rather than on absolute speed.

This unit can be used in models of highly efficient suspension systems or in simulating a passively tuned reaction of the mass-spring-shock absorber type.

The block is described by the following equations:



where

  • — the torque transmitted through the unit;

  • — the 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.

Variables

Use the parameter group Initial Targets to set the priority and initial target values for the block parameter variables before modeling. For more information, see Configuring physical blocks using target values.

Ports

Conserving

# R — shaft
rotational mechanics

Details

A mechanical rotation port connected to a shaft, that is, to a moving body.

Program usage name

rod_flange

# C — body
rotational mechanics

Details

A mechanical rotation port connected to the body, that is, to a stationary body.

Program usage name

case_flange

Parameters

Parameters

# Rotational inertance — moment of inertia
kg*m^2 | g*m^2 | kg*cm^2 | g*cm^2 | lbm*in^2 | lbm*ft^2 | slug*in^2 | slug*ft^2

Details

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

Units

kg*m^2 | g*m^2 | kg*cm^2 | g*cm^2 | lbm*in^2 | lbm*ft^2 | slug*in^2 | slug*ft^2

Default value

1.0 kg*m^2

Program usage name

b

Evaluatable

Yes