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Fundamentals of Vehicle Dynamics and Modeling

Apr 25, 2025

Vehicle Dynamics - Fundamentals and Modeling Aspects

Introduction

  • Vehicle dynamics involves various engineering disciplines such as classical mechanics, physics, and more.
  • Focuses on ground vehicles with wheels and tires.
  • Key components: driver, vehicle, load, and environment.
  • Goal: improve safety, comfort, and reduce road wear.

Driver

  • Can influence the vehicle through steering, acceleration, braking, and gear shifts.
  • Receives feedback from vehicle vibrations and sounds.
  • Driver simulation in labs uses ideal models.

Vehicle

  • Vehicles categorized by ISO, including cars, buses, trucks, and trailers.
  • Complex dynamics modeled through calculations, testing, and simulations.

Load

  • Affect vehicle dynamics, e.g., truck behavior changes with load.
  • Challenges in modeling dynamic loads (e.g., liquid loads).

Environment

  • Road irregularities, friction, and climate impact dynamics.
  • Reproduction of environmental effects in testing is difficult.

Road Modeling

Deterministic and Random Profiles

  • Road models provide height and friction data.
  • Deterministic models include bumps, potholes, and sine waves.
  • Random profiles characterized statistically, often using power spectral densities.

Tire Dynamics

Tire Development

  • Progression from vulcanization to modern pneumatic tires.
  • Run-flat tires allow driving post-deflation.

Tire Forces and Torques

  • Contact patch transmits normal and friction forces.
  • Forces and torques measured for dynamics modeling.
  • Complex models (e.g., FTire) simulate tire behavior.

Contact Geometry

  • Defines interaction between tire and road.
  • Calculations involve contact point velocity and dynamic rolling radius.

Drive Train

Components

  • Includes engine, clutch, transmission, and differentials.
  • Different configurations for power distribution among wheels.

Wheel and Tire Dynamics

  • Influenced by torques and external forces.
  • Dynamic models simulate wheel behavior under different conditions.

Suspension Systems

Purpose and Components

  • Supports vehicle weight, maintains alignment, and reduces shock effects.
  • Types include coil springs, torsion bars, and air springs.

Examples of Suspension Systems

  • Multi-purpose: double wishbone, McPherson, multi-link.
  • Specific: semi-trailing arm, twist beam.

Force Elements

Standard Force Elements

  • Springs and dampers absorb and control forces.
  • Anti-roll bars reduce body roll.

Dynamic Force Elements

  • Tested through frequency domain analysis.
  • Advanced models mimic real-world behaviors.

Vertical Dynamics

Goals

  • Optimize ride comfort and safety.
  • Influence of body suspension and damping on dynamics.

Basic Tuning

  • Simplified models used for initial studies.
  • Quarter car models evaluate suspension performance.

Longitudinal Dynamics

Dynamic Wheel Loads

  • Defined by forces at front and rear axles.
  • Static and dynamic loads affect vehicle behavior.

Maximum Acceleration

  • Limited by tilting and friction conditions.
  • Aerodynamics play a significant role at high speeds.

Driving and Braking

Single Axle Drive

  • Acceleration varies between front and rear wheel drives.

Braking Stability

  • Locked front wheels offer more stability than rear.

Optimal Force Distribution

  • Aims for equal skid resistance across axles.

Lateral Dynamics

Kinematic Approach

  • Tire models predict vehicle path without lateral slip.

Steady State Cornering

  • Evaluates vehicle stability and steering tendencies.

Mechatronic Systems

Electronic Stability Control (ESC)

  • Integrates various systems to maintain vehicle control.

Steer-by-Wire

  • Uses electronics for steering control, improving safety and performance.

Driving Behavior

Standard Driving Maneuvers

  • Steady state cornering and step steer input assess vehicle control.

Different Rear Axle Concepts

  • Various designs impact vehicle handling and stability.