Machine Dynamics and Vibrations

About this course

The analysis of motion, velocity, acceleration, and forces in mechanisms and machines. Emphasis is placed on the modelling of the physical system and the derivation of the equation of motion. Additionally analytical methods suitable for hand calculation, computerized analysis and preliminary design studies. The course starts with the simpler Single DOF systems, and gradually set the foundation to Multiple DOF systems and modal analysis. Special emphasis is placed on Vibration isolation and some common applications.

Expected learning outcomes

The course Machine Dynamics and Vibrations aims that the student upon successful completion is able to:

f) recognize standard mechanical dynamical systems and their order g) identifies the basic dynamic characteristics that affect the dynamics of mechanical systems h) qualitatively evaluates the dynamic and oscillating behavior of mechanical systems with linear characteristics. i) To calculate the dynamic and oscillating behavior of mechanical systems. j) Develop models for standard mechanical dynamical systems with appropriate simplifications/assumptions k) evaluate dynamic systems, l) apply methodologies in the design of mechanical oscillation isolation devices.

Indicative Syllabus

    Review kinematics and kinetics of particles. Single degree of freedom systems
    Vibration for mass-spring system, natural frequency.
    Rotational vibration (Systems involving pendulums).
    Finding the stiffness of complicated systems and real life components.
    Equation of motions for complicated vibratory systems.
    Damping in 1-DOF systems.
    Forced vibration (Applied force and also unbalanced rotation), and resonance.
    Forced vibration (Base Excitation)
    Transient response (convolution integral)
    Solution approaches (numerical, laplace, transfer functions) Two degree and multiple degree of freedom systems
    Introduction with the 2dof system
    Eigenvalues and Natural frequencies
    Modal analysis
    Free vibrations of MDOF systems
    MDOF Systems with Viscous Daming
    Forced vibrations of MDOF
    Intro Vibration of Continuous System. Design for Vibration suspension
    Acceptable levels of vibration
    Vibration absorbers
    Daming in Vibration Absorption
    Critical Speeds of rotating disks (Jeffcott motor, Rayleigh approach

    Teaching / Learning Methodology

    Lecture: the fundamentals of Machine Dynamics and Vibration will be described using ppt presentations, demonstrating videos, Internet. The students are free to request help. The students are encouraged to solve problems and to use their own knowledge to verify their solutions before seeking assistance. Tutorial: a set of problems and group discussion topics will be arranged in the tutorial classes. Students are encouraged to solve problems before having solutions.

    Recommended Reading

    1. Gans Mechanical Systems A Unified Approach to Vibrations and Controls, Springer Verlag 2. S.Kelly Mechanical Vibrations: Theory and Applications, Cengage Learning 3. S.S.Rao, “Mechanical Vibrations”, Pearson; 5th edition (September 17, 2010) 4. D.Inman “Engineering Vibrations”, Pearson; 4th edition (March, 2013)

    Prerequisites

     

    Start Date

    2023

    End Date

    2024

    Apply

    2023

    ENROLL NOW

    Local Course Code

    TBA

    Cycle

    TBA

    Year of study

    TBA

    Language

    English

    Study Load

    Lectures 39 hrs Tutorials 26 hrs Homework 30 hrs Self study 55 hrs In total 150 hours – 5ECTS

    Mode of delivery

    Bi weekly tests : 30% Reports : 20% Written Report : 50% Continuous assessment consists of bi-weekly small tests, reports. The continuous assessment will assess the students’ understanding of basic concepts and principles in the lecture content.

    Instructors

    Dr. Papadakis Nicos

    Course coordinator

    Dr. Papadakis Nicos

    E-mail

    npapadak@hmu.gr