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Subash MU

This capsule course on Vehicle Dynamics & Control - Essentials of Longitudinal & Lateral Vehicle Dynamics is designed for Practicing Automotive Engineers who deal with Vehicle Dynamics in their job.

Numerous animations and visualisations are used in this course for the intuitive understanding of vehicle dynamics concepts.

The knowledge gained with this course is expected to make the vehicle dynamics concepts clear, so that it nurtures  your innovative thinking while developing code or developing a product.

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This capsule course on Vehicle Dynamics & Control - Essentials of Longitudinal & Lateral Vehicle Dynamics is designed for Practicing Automotive Engineers who deal with Vehicle Dynamics in their job.

Numerous animations and visualisations are used in this course for the intuitive understanding of vehicle dynamics concepts.

The knowledge gained with this course is expected to make the vehicle dynamics concepts clear, so that it nurtures  your innovative thinking while developing code or developing a product.

This course is also suitable for Aspiring Automotive Engineers to get to know what are the useful concepts actually used in the Automotive Industry and thus to finetune their theoretical knowledge.

In simple words, the fact is that so many derivations from textbooks are not directly useful in an industry setting.

At the same time, there are definitely a couple of useful mathematical stuff needed for Automotive / Vehicle Dynamics Control industry and care is taken to cover those in this course.

The primary focus is to convey the conceptual understanding correctly with the support of proofs or mathematical equations.

And whenever a mathematical equation is shown, it is analysed in-depth and the physical understanding is made clear.

All the derivations are moved to Appendix section at last, for those who are interested to see and/or workout the proofs/derivations.

The delivery of this course is done in a concise manner covering comprehensive topics to maximise the benefit you get out of this course and also to respect your time spent on this course.

PS: Sufficient care is taken to avoid "um"s and "ah"s and no unnecessary repetitions of words in the videos, to help you stay focused :)

Some of the major highlights of this course are the explanations of the below questions and topics:

What happens to the vehicle when front wheels are locked?

What happens to the vehicle when rear wheels are locked?

What happens to steerability and directional stability of the vehicle in the above both cases?

And is there any difference in vehicle response for high-"μ" and Low "μ" surfaces?

In general, there are ambiguities among engineers on what would happen. All the above questions are addressed with insightful animations and explanations.

Do Understeer Vehicles always exhibit the same behaviour? Why?

In general, lot of misunderstandings exist regarding oversteer and understeer among engineers. In this course clarity is brought in those topics considering steady state behaviour and transient behaviour of vehicles with simple and elegant mathematical insights.

Concepts of This is expected to boost thinking and innovation for product development.

Oversteer Control, Understeer Control, Rollover Control and Torque Vectoring are explained with visualisations.

Kinetic and Kinematic Bicycle Models are explained and the advantages, disadvantages and usage are explained.

Kinematic Bicycle Model of Ackermann steering condition is covered and derivation is also provided. And applications are explained.

Dynamic Rolling Radius or Effective Radius is one of the most important but misunderstood topics. Clarity is brought in with animations and a mathematical relation.

Combined slip, slip ratio, slip angle are explained intuitively.

Factors influencing basic vehicle dynamics including the static reaction loads, dynamic load transfer during braking and acceleration, dynamic load transfer during cornering are explained in depth with mathematical relations.

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What's inside

Learning objectives

  • Understand longitudinal and lateral vehicle dynamics essential concepts with the help of graphical visualisations
  • Understand longitudinal and lateral vehicle dynamics control essential concepts by their most core idea with the help of graphical visualisations
  • This course gives a good clarity on concepts for practicing automotive engineers and also for aspiring automotive engineers
  • Apart from vehicle dynamics, essential vehicle statics are also covered because of its fundamental nature

Syllabus

Introduction to Vehicle Dynamics & Vehicle Dynamics Control
What is Vehicle Dynamics and Vehicle Dynamics Control?
Classification of Vehicle Dynamics & Vehicle Dynamics Control
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Basic Vehicle Geometry
External Forces Acting on a Vehicle
External Forces Acting on a Vehicle – Vertical & Longitudinal
External Forces Acting on a Vehicle – Lateral & Vertical
Mechanics Recap
Classification of Mechanics
Newton’s 2nd Law
D'Alembert Principle
Centre of Rotation, Instantaneous Centre
Moment of Force & Couple
Moment of Force & Couple on a Vehicle
Right Handed Coordinate System
Force & Moment Notations
Vehicle Coordinate System
Vehicle Coordinate System & Degrees of Freedom of Vehicle
Static Load & Dynamic Load Transfer
Static Reaction Forces on a Vehicle
Dynamic Load Transfer due to Acceleration & Braking
Dynamic Load Transfer due to Cornering
Pitch, Roll & Yaw Motions
Pitch Motion – Effect of Dynamic Load Transfer
Roll Motion – Effect of Lateral Load Transfer
Yaw Motion – Effect of Lateral Forces
Longitudinal Force Generation of Tires
Rotation & Translation of a Wheel
Rolling = Rotation + Translation
Pure Rolling of a Wheel
Rolling with Vehicle Speed Higher than Wheel Speed
Rolling with Vehicle Speed Lower than Wheel Speed
Slip Ratio or Slip
Braking Force Coefficient and Traction Force Coefficient
Braking/Traction Force Coefficient vs Slip Ratio
An Experiment to Estimate Braking/Traction Force Coefficient vs Slip Ratio
Braking Force and Traction Force on a Tire
Rolling Resistance of Tires due to Tire Material
Rolling Resistance: Action – Reaction Pair of Moments
Values of Coefficient of Rolling Resistance
Dynamic Rolling Radius or Effective Radius
Dynamic Rolling Radius or Effective Radius - Practical Concept
Dynamic Rolling Radius or Effective Radius - Theoretical & Empirical Relations
Lateral Force Generation of Tires
Tire Slip Angle or Slip Angle
Lateral Force on a Tire - Cornering Stiffness
Lateral Force vs Tire Slip Angle
Lateral Force Coefficient
Wheel Sideslip Angle
Combined Longitudinal & Lateral Force Generation
Friction Circle or Friction Ellipse or Kamm's Circle
Force Coefficients vs Slip Ratio & Slip Angle
Lateral Vehicle Dynamics
Ackermann Steering Condition
General Orientation of a Vehicle
Bicycle Model or Single Track Model - Kinetic BM & Kinematic BM
Kinetic Bicycle Model
Kinematic Bicycle Model
Kinematic Bicycle Model for Ackermann Condition
Steady State and Transient Manoeuvres
Understeer Gradient - Neutral Steer, Under Steer, and Oversteer
Parameters Affecting Understeer Gradient
Steering Angle vs Lat Acceleration & Steering Angle vs Vehicle Speed Relations
Neutral Steer
Understeer
Oversteer
Side by Side View & Comparison of Neutral Steer, Understeer & Oversteer Vehicles
Do Understeer Vehicles always exhibit the same behaviour? Why? Part 1
Do Understeer Vehicles always exhibit the same behaviour? Why? Part 2
In this section, wheel locking of front axle and rear axle are covered
Why Vehicle Dynamics Control is Required?
Concept of Steerability & Directional Stability
Forces Acting During Braking
Front Wheels Lock - Directional Stability Check
Front Wheels Lock - Steerability Check
Rear Wheels Lock - Directional Stability – High "μ" Check
Rear Wheels Lock - Directional Stability – Low "μ" Check
Rear Wheels Lock - Steerability Check
Both Front & Rear Wheels Lock - Directional Stability & Steerability Check
Vehicle Dynamics Control Terminology & A Generic Architecture of Working of EBS
Vehicle Dynamics Control Terminology
A Generic Schematic Diagram of Working of Electronic Brake System (EBS)
Longitudinal Vehicle Dynamics Control
Anti-lock Braking System (ABS)
How ABS Control Works?
More insight into ABS Slip Ctrl - Geometrical Interpretation of Fixed Slip Ratio
Traction Control System (TCS)
How TCS Control Works?
More insight into TCS Slip Ctrl - Geometrical Interpretation of Fixed Slip Ratio
Modern Developments in Slip Control
Lateral Vehicle Dynamics Control
Oversteer/Understeer Control
Oversteer Control (OSC) - Working
Understeer Control (USC) - Working
Static Stability Factor, SSF
Basics of Rollover Control
Rollover Control (ROC) - Working
Torque Vectoring (TV) - Working
Few Insights on HW and SW of Electronic Brake System

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Explores complex vehicle dynamics concepts with animations and visualizations, making them easier to understand
In-depth coverage of vehicle statics provides a solid foundation for understanding vehicle dynamics
Focuses on practical applications of vehicle dynamics concepts in the automotive industry
Suitable for both practicing and aspiring automotive engineers, bridging the gap between theory and practice
Clear and concise delivery of concepts, maximizing learning efficiency
Provides a strong foundation for advanced vehicle dynamics and control topics

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Vehicle Dynamics & Control - Capsule Course with these activities:
Review basic concepts of vehicle dynamics
Refreshes the basic principles behind vehicle dynamics and how it is related to everyday experience.
Browse courses on Vehicle Dynamics
Show steps
  • Review Newton's laws of motion
  • Review basic concepts of kinematics and dynamics
  • Review concepts of force and torque
Follow online tutorials on vehicle dynamics simulations
Provides hands-on experience with vehicle dynamics models and simulations.
Show steps
  • Find online tutorials or software that provide vehicle dynamics simulations
  • Follow the tutorials to create and run simulations
  • Analyze the simulation results and compare with theoretical predictions
Join a study group to discuss vehicle dynamics concepts
Allows for collaborative learning and exchange of ideas with peers.
Show steps
  • Find a study group or create one with classmates
  • Schedule regular study sessions
  • Discuss course concepts, ask questions, and share insights
Three other activities
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Show all six activities
Read "Vehicle Dynamics and Control" by Rajesh Rajamani
Provides a comprehensive overview of vehicle dynamics and control systems, reinforcing the main course topics.
Show steps
Solve practice problems on vehicle dynamics
Strengthens problem-solving skills and reinforces the application of learned concepts.
Show steps
  • Find practice problems from textbooks, online resources, or the course instructor
  • Attempt to solve the problems independently
  • Check your solutions and identify areas for improvement
Create presentations or videos explaining vehicle dynamics concepts
Enhances understanding by requiring students to synthesize and explain concepts in their own words.
Show steps
  • Choose a vehicle dynamics concept to focus on
  • Research and gather information on the concept
  • Create a presentation or video that clearly explains the concept
  • Share your presentation or video with peers or the course instructor

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Learners who complete Vehicle Dynamics & Control - Capsule Course will develop knowledge and skills that may be useful to these careers:

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