Engee documentation

Wheel and Axle

Wheel and axle.

blockType: AcausalFoundation.Mechanical.Mechanisms.WheelAndAxle

wheel and axle

Path in the library:

/Physical Modeling/Fundamental/Mechanical/Mechanisms/Wheel and Axle

Description

Block Wheel and Axle It is a wheel and axle mechanism shown in the following diagram.

wheel and axle 1

The wheel and the axle are coaxial, and it is assumed that the axle is rigidly connected to the frame, which makes this mechanism an ideal converter of mechanical rotational motion into mechanical translational. The mechanism has two connections: a mechanical rotary port A corresponding to the axis, and a mechanical translational port P corresponding to a point on the wheel rim. The mechanism is described by the following equations:

ω

Where:

  • Т — torque on the axle.

  • — the force is on the rim of the wheel.

  • ω — angular velocity of the wheel.

  • — linear speed on the wheel rim.

  • — the radius of the wheel.

  • — orientation of the mechanism. The value is equal to +1 if the rotation of the axis in a globally specified positive direction is converted into translational motion in the positive direction, and −1 if positive rotation leads to translational motion in the negative direction.

Use the unit when modeling rack and pinion gears, steering wheels, hoists, winches, etc.

The positive directions of the block are from A to the reference point and from the reference point to P.

Ports

A — pass axis:q[<br>] rotational mechanics

Mechanical rotary port, corresponds to the axis.

P — periphery of the pass wheel:q[<br>] translational mechanics

Mechanical translational port, corresponds to a point on the rim of the wheel.

Parameters

Wheel radius — pass wheel radius:q[<br>] 0.05 m (by default)

The radius of the wheel.

Mechanism orientation — the relationship between the rotation of the axis and the direction of translational motion
Drives in positive direction (by default)| Drives in negative direction

Value Drives in positive direction means that the rotation of the axis in the globally assigned positive direction is converted into translational motion in the positive direction. Value Drives in negative direction means that the rotation of the axis in the globally assigned positive direction is converted into translational motion in the negative direction.

Examples