Machine Dynamics with MATLAB

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Free Online Course: Machine Dynamics with MATLAB provided by edX is a comprehensive online course, which lasts for 7 weeks long, 8-10 hours a week. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from edX. Machine Dynamics with MATLAB is taught by Burkhard Corves and Martin Lankers.

Overview
  • 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.

Syllabus
  • Week1: Basics of oscillation
    Definition of important parameters of an oscillation. Introduction to the methods of
    modelling and discussion about modelling depth. Derivation of an equation of motion of a
    anslational one degree of freedom system.

    Week2: Discrete systems with one degree of freedom and its eigen behavior
    Analytical solution of an equation of motion and animation of the results. Analysis of
    hree typical cases of eigen behavior. Introduction to state space representation and
    umerical solution of an equation of motion. Getting started with Simulink.

    Week3: Discrete systems with one degree of freedom with forced excitation
    Description of different types of excitation. Derivation and solution of an equation of
    motion with frequency dependent force excitation and frequency independent force
    excitation, respectively. Extension of the model to base excitation and explanation and
    development of effective vibration insulation.

    Week4: Discrete systems with multiple degrees of freedom and its eigen behavior
    Derivation of a system of equations of motion which describes vertical dynamics and
    pitch motion. Analytical solution of this system and discussion of the homogeneous
    solution. Analyzes of three typical cases of motion.

    Week5: Discrete systems with multiple degrees of freedom and its eigen behavior
    and with forced excitation
    Transfer of equations into state space representation and into a Simulink model.
    Application of frequency independent and frequency dependent force excitation to the
    system of equations of motion. Adaption of the model to base excitation. Development of
    a vibration absorber.

    Week6: Discrete systems with multiple degrees of freedom with forced excitation
    Adaption of the model to base