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Burkhard Corves, Martin Lankers, and Jan-Lukas Archut

This course will introduce you to a broad range of methodologies used in the field of machine dynamics. You will learn how to model a vehicle using the fundamentals of mechanics. You will get a deep understanding of the equations of motion and how to solve them using powerful MathWorks tools. Eventually, you will gain the ability to analyze and interpret the computational results in order to optimize your design.

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This course will introduce you to a broad range of methodologies used in the field of machine dynamics. You will learn how to model a vehicle using the fundamentals of mechanics. You will get a deep understanding of the equations of motion and how to solve them using powerful MathWorks tools. Eventually, you will gain the ability to analyze and interpret the computational results in order to optimize your design.

To get the most out of your time the course is subdivided into five weeks, each consists of lectures, tutorials and exercises. During lectures, you will get all the theoretical background of machine dynamics. Tutorials will teach you the basics of MathWorks products and exercises will merge your theoretical knowledge with the practical use of the software into an exciting application.

You will learn how to model a vehicle by a one and a two degree of freedom system. These systems could be base excited, force excited or not excited, they could be damped or undamped and their mathematical representation could be solved analytically, by state space representation or by solving the differential equation itself.

Therefore, if you ever wondered how to design a vehicle suspension using MathWorks tools, we highly recommend you attend to this course.

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What's inside

Learning objectives

  • Basic and advanced matlab skills
  • Define a sensible modelling depth
  • Derive equations of motion for different models
  • Solve the equations of motion using different approaches
  • Presentation of results using animations

Syllabus

Week1: Basics of oscillation Definition of important parameters of an oscillation. Introduction to the methods ofmodelling and discussion about modelling depth. Derivation of an equation of motion of atranslational one degree of freedom system.
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Week2: Discrete systems with one degree of freedom and its eigen behaviorAnalytical solution of an equation of motion and animation of the results. Analysis ofthree typical cases of eigen behavior. Introduction to state space representation andnumerical solution of an equation of motion. Getting started with Simulink.
Week3: Discrete systems with one degree of freedom with forced excitationDescription of different types of excitation. Derivation and solution of an equation ofmotion with frequency dependent force excitation and frequency independent forceexcitation, respectively. Extension of the model to base excitation and explanation anddevelopment of effective vibration insulation.
Week4: Discrete systems with multiple degrees of freedom and its eigen behaviorDerivation of a system of equations of motion which describes vertical dynamics andpitch motion. Analytical solution of this system and discussion of the homogeneoussolution. Analyzes of three typical cases of motion.
Week5: Discrete systems with multiple degrees of freedom and its eigen behaviorand with forced excitationTransfer of equations into state space representation and into a Simulink model.Application of frequency independent and frequency dependent force excitation to thesystem of equations of motion. Adaption of the model to base excitation. Development ofa vibration absorber.
Week6: Discrete systems with multiple degrees of freedom with forced excitationAdaption of the model to base

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Develops fundamental machine dynamics skills and knowledge critical for the design and analysis of vehicle suspensions
Taught by instructors who are experts in machine dynamics and vehicle engineering
Uses MathWorks tools such as MATLAB and Simulink for modeling and analysis, which are industry-standard for vehicle dynamics
Provides hands-on exercises and tutorials to reinforce theoretical concepts and develop practical skills
Builds a strong foundation for understanding key machine dynamics principles and applications
Requires a basic understanding of mathematics and mechanics

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Reviews summary

Machine dynamics with matlab

Learners say that Machine Dynamics with MATLAB is a highly rated course. The MATLAB programming tutorials are thorough, and the course can be done at a moderate pace. This course is suitable for learners who have experience in mechanics and programming.
Well-structured curriculum
"Excellent course for people who want to learn MATLAB. Course is very well structured and it can be done with a moderate pace."
"One of the best course on the internet for the ones who are seeking interweaving between Mechanics, Computer Science and real world problems."
Comprehensive MATLAB tutorials
"Excellent course for people who want to learn MATLAB."
"I found a lot of useful information how to design dynamic machine by using math analysis."
"Great course, really takes you from A to Z when it comes to modeling and programming with Matlab."
Time-consuming
"Great course, really takes you from A to Z when it comes to modeling and programming with Matlab... it would consume a lot of time and energy, not suitable for those with an already too busy schedule."
Not suitable for beginners
"Great course, really takes you from A to Z when it comes to modeling and programming with Matlab. But it's not recommended for those without zero experience in mechanics and programming."

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 Machine Dynamics with MATLAB with these activities:
Review Introduction to Dynamics and Vibration, 3rd ed by S. Rao
This book covers the same topics as the course and will aid in retention of learned concepts.
Show steps
  • Read 20 pages of a chapter
  • Summarize the material read
  • Complete 5 practice problems
Solve practice problems on the equations of motion
Solving practice problems will help reinforce understanding of the equations of motion.
Browse courses on Equations of Motion
Show steps
  • Find practice problems on the equations of motion
  • Solve the problems using the appropriate techniques
  • Check the solutions against known answers
Follow tutorials on using Simulink to model machine dynamics
This activity will provide hands-on experience with using Simulink.
Browse courses on Simulink
Show steps
  • Find tutorials on using Simulink for machine dynamics
  • Follow the tutorials and complete the exercises
Four other activities
Expand to see all activities and additional details
Show all seven activities
Create an infographic on the different types of damping
This activity will help solidify understanding of the different types of damping.
Browse courses on Damping
Show steps
  • Gather information on the different types of damping
  • Design and create the infographic
Attend a workshop on machine dynamics
Attending a workshop will provide an opportunity to learn from experts and network with other professionals.
Show steps
  • Find a workshop on machine dynamics
  • Register for the workshop
  • Attend the workshop
Develop a MATLAB script to solve the equations of motion for a two-degree-of-freedom system
This activity will help develop practical skills in using MATLAB to solve engineering problems.
Browse courses on MATLAB
Show steps
  • Derive the equations of motion for a two-degree-of-freedom system
  • Write a MATLAB script to solve the equations of motion
  • Test the script with different input parameters
Design a vibration isolation system
This hands-on project will directly apply concepts learned in the course.
Show steps
  • Research different types of vibration isolation systems
  • Design a system for a specific application
  • Build and test the system

Career center

Learners who complete Machine Dynamics with MATLAB will develop knowledge and skills that may be useful to these careers:
Automotive Engineer
In this role, you will be tasked with designing and developing vehicles, including their engines, drivetrains, suspension systems, and other components. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for automotive engineers.
Aerospace Engineer
You will be responsible for designing, developing, and testing aircraft, spacecraft, and other aerospace systems. With the knowledge gained from the Machine Dynamics with MATLAB course, you will be able to model and analyze the dynamic behavior of aerospace vehicles. This knowledge will be critical for ensuring the safety and efficiency of these vehicles. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for aerospace engineers.
Mechanical Engineer
You will be responsible for designing and developing mechanical systems, such as engines, turbines, pumps, and other machinery. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for mechanical engineers.
Civil Engineer
You will be responsible for designing and developing civil infrastructure, such as bridges, buildings, and roads. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for civil engineers.
Robotics Engineer
You will be responsible for designing, developing, and testing robots. With the knowledge gained from the Machine Dynamics with MATLAB course, you will be able to understand the dynamic behavior of robots and to control their movements to perform desired tasks. This knowledge will be critical for ensuring the safety and efficiency of robots. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for robotics engineers.
Systems Engineer
You will be responsible for integrating different components of a system to ensure that they work together seamlessly. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for systems engineers.
Control Systems Engineer
You will be responsible for designing and developing control systems for various applications, such as industrial machinery, robotics, and aerospace systems. With the knowledge gained from the Machine Dynamics with MATLAB course, you will be able to analyze the dynamics of control systems and to create mathematical models to represent them. This knowledge will be critical for ensuring the stability and performance of control systems. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for control systems engineers.
Data Scientist
You will be responsible for collecting, analyzing, and interpreting data to identify trends and patterns. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for data scientists.
Mathematician
You will be responsible for developing and applying mathematical theories and techniques to solve problems in various fields, such as science, engineering, and finance. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for mathematicians.
Physicist
You will be responsible for studying the fundamental laws of nature and matter. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for physicists.
Software Engineer
You will be responsible for designing, developing, and testing software applications. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for software engineers.
Electrical Engineer
You will be responsible for designing, developing, and testing electrical systems. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for electrical engineers.
Chemical Engineer
You will be responsible for designing, developing, and testing chemical processes. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for chemical engineers.
Biomedical Engineer
You will be responsible for designing, developing, and testing biomedical devices and systems. The Machine Dynamics with MATLAB course can provide you with the foundational knowledge and skills you need to succeed. In particular, your understanding of vehicle modeling and the ability to solve equations of motion will be highly valuable in this field. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for biomedical engineers.
Financial Analyst
You will be responsible for analyzing financial data to make investment recommendations. The Machine Dynamics with MATLAB course may be useful as it can help you develop the analytical skills necessary for this role. Additionally, the course will help you to develop the MATLAB skills necessary for analyzing and interpreting data, which is essential for financial analysts.

Reading list

We've selected ten books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Machine Dynamics with MATLAB.
Provides an up-to-date, comprehensive treatment of the subject of mechanical vibrations. It presents the theory and applications of vibration phenomena in various physical systems.
Classic textbook on vibration theory. It provides a thorough introduction to the subject and covers a wide range of topics.
Provides a comprehensive introduction to vibration analysis and control system dynamics. It covers a wide range of topics, including the fundamentals of vibration, the analysis of single- and multi-degree-of-freedom systems, and the design of vibration control systems.
Provides a comprehensive introduction to mechanical vibrations. It covers a wide range of topics, including the fundamentals of vibration, the analysis of single- and multi-degree-of-freedom systems, and the design of vibration isolation systems.
Provides a comprehensive introduction to vibration damping, control, and design. It covers a wide range of topics, including the fundamentals of vibration, the analysis of single- and multi-degree-of-freedom systems, and the design of vibration damping and control systems.
Provides a comprehensive introduction to machine dynamics. It covers a wide range of topics, including the fundamentals of vibration, the analysis of single- and multi-degree-of-freedom systems, and the design of machine dynamics systems.
Provides a comprehensive introduction to rotordynamics. It covers a wide range of topics, including the fundamentals of vibration, the analysis of single- and multi-degree-of-freedom systems, and the design of rotordynamics systems.
Provides a comprehensive introduction to structural dynamics. It covers a wide range of topics, including the fundamentals of vibration, the analysis of single- and multi-degree-of-freedom systems, and the design of structural dynamics systems.
Provides a comprehensive introduction to the finite element method for vibration analysis. It covers a wide range of topics, including the fundamentals of vibration, the analysis of single- and multi-degree-of-freedom systems, and the design of vibration analysis systems.
Provides a comprehensive introduction to Simulink for control systems. It covers a wide range of topics, including the fundamentals of Simulink, the analysis of single- and multi-degree-of-freedom systems, and the design of Simulink-based control systems.

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