Tire (Simple)

No-slip tire model with minimal parameters

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Libraries:
Simscape / Driveline / Tires & Vehicles

Description

The Tire (Simple) block represents a simple, no-slip model of a tire that you parameterize by tire radius.

You can optionally add inertia, stiffness, or damping. These dynamics require additional computation that tends to make models less suitable for real-time simulation.

Examples

Vehicle with Four-Wheel Drive

A four-wheel drive vehicle starting from rest and ascending a 15 degree incline. Initially the vehicle rolls backwards until the engine develops sufficient torque to counter the slope. The tire compliance dynamics can be seen as the vehicle starts to accelerate. The model variant chosen for all of the tires can be set to the Simple, Friction Parameterized, or Magic Formula tire model using the hyperlinks in the model.

• Open Model

Assumptions and Limitations

• The tire does not slip.

• Torque-transfer capability is infinite.

Ports

Conserving

A — Axle

mechanical rotational

Mechanical rotational port associated with the axle that the tire sits on.

H — Hub

mechanical translational

Mechanical translational port associated with the wheel hub that transmits the thrust generated by the tire to the remainder of the vehicle.

Parameters

The table shows how the visibility of some Tire (Simple) parameters depends on the option that you choose for other parameters.

Parameter Dependencies

Parameter
Rolling Radius
Compliance — Choose No compliance - Suitable for HIL simulation or Specify stiffness and damping
No compliance - Suitable for HIL simulation	Specify stiffness and damping
	Longitudinal stiffness
	Longitudinal damping
Inertia — Choose No Inertia or Specify inertia and initial velocity
No Inertia	Specify inertia and initial velocity
	Tire inertia
	Initial velocity

Rolling radius — Radius

0.3 m (default) | positive scalar

Rolling radius of the tire. The rolling radius must be greater than zero.

Compliance — Compliance model

No compliance - Suitable for HIL simulation (default) | Specify stiffness and damping

Include or neglect longitudinal stiffness and damping.

Dependencies

Selecting Specify stiffness and damping exposes other parameters. For more information, see Parameter Dependencies.

Longitudinal stiffness — Longitudinal stiffness

1e6 N/m (default) | positive scalar

Longitudinal stiffness of the tire. The parameter must be greater than zero.

Dependencies

This parameter appears only if the Compliance parameter is set to Specify stiffness and damping. For more information, see Parameter Dependencies.

Longitudinal damping — Longitudinal damping

1000 N/(m/s) (default) | positive scalar

Longitudinal damping of the tire. The parameter must be greater than zero.

Dependencies

This parameter appears only if the Compliance parameter is set to Specify stiffness and damping. For more information, see Parameter Dependencies.

Inertia — Inertia model

No inertia (default) | Specify inertia and initial velocity

Include or neglect tire inertia.

Dependencies

Selecting Specify inertia and initial velocity exposes other parameters. For more information, see Parameter Dependencies.

Tire inertia — Tire inertia

1 kg*/m^2 (default) | positive scalar

Rotational inertia of the tire.

Dependencies

This parameter appears only if the Inertia parameter is set to Specify inertia and initial velocity. For more information, see Parameter Dependencies.

Initial velocity — Initial velocity

0 rad/s (default)

Initial rotational velocity of the tire.

Dependencies

This parameter appears only if the Inertia parameter is set to Specify inertia and initial velocity. For more information, see Parameter Dependencies.

More About

Real-Time and Hardware-in-the-Loop Simulation

For optimal simulation performance, set the Parameters > Compliance parameter to No compliance - Suitable for HIL simulation.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2012a