Mechanical Vibrations and Noise
Keywords |
Classification |
Keyword |
OFICIAL |
Applied Mechanics |
Instance: 2006/2007 - 2S
Cycles of Study/Courses
Teaching language
Portuguese
Objectives
The purpose of this course is to present the basic concepts of the theory of vibration and the methods for analyzing the vibratory motion developed in a mechanical or structural system when it is subjected to a dynamic loading.
Program
Fundamentals of vibration: Basic concepts of vibration, Harmonic motion, Harmonic analysis.
Single Degree of Freedom Systems: Free Vibration with viscous damping, Response of a damped system under harmonic force, Response of a damped system under the harmonic motion of the base, Response of a damped system under rotating unbalance, Frequency response function, Response under a general periodic force, Response under a nonperiodic force, Convolution integral, Response spectrum.
Two Degree of Freedom Systems: Equations of motion for forced vibration, Free vibration analysis of an undamped system, Coordinate coupling and principal coordinates, Forced vibration analysis, Semi-definite systems, Undamped vibration absorber.
Multidegree of Freedom Systems: Equations of motion, Influence coefficients, Lagrange’s equations, Eigenvalue problem, Expansion theorem, Free vibration of undamped systems, Forced vibration of viscously damped systems, Rayleigh’s method.
Numerical Integration Methods in Vibration Analysis: Central difference method for single and multidegree of freedom systems.
Continuous Systems: Transverse vibration of a string or cable, Longitudinal vibration of a bar or rod, Torsional vibration of a shaft or rod, Lateral vibration of beams, Rayleigh’s energy method.
Mandatory literature
J. Dias Rodrigues; Apontamentos de Vibrações de Sistemas Mecânicos, 2007
Complementary Bibliography
Meirovitch, Leonard;
Elements of vibration analysis. ISBN: 0-07-041342-8
Thomson, William T.;
Vibration theory and aplications. ISBN: 0-04-531003-3
Kelly, S. Graham;
Fundamentals of mechanical vibrations. ISBN: 0-07-911533-0
Rao S.S.; Mechanical Vibrations, Addison-Wesley Publishing Company, 1986
Teaching methods and learning activities
• Theoretical lectures of exposition and discussion of the contents;
• Practical classes to make exercises, discuss problems and make laboratory works.
Software
Matlab 6 R12.1
keywords
Technological sciences > Engineering > Mechanical engineering > Vibration engineering
Evaluation Type
Evaluation with final exam
Assessment Components
Description |
Type |
Time (hours) |
Weight (%) |
End date |
Subject Classes |
Participação presencial |
56,00 |
|
|
|
Exame |
24,00 |
|
|
|
Exame |
12,00 |
|
|
|
Total: |
- |
0,00 |
|
Amount of time allocated to each course unit
Description |
Type |
Time (hours) |
End date |
|
Estudo autónomo |
28 |
|
|
Estudo autónomo |
42 |
|
|
Total: |
70,00 |
|
Eligibility for exams
Attendance according the FEUP's regulations.
Calculation formula of final grade
The final mark (CF) is equal to the examination mark (EX): CF=EX.
Examination (EX): Written examination composed of a theoretical part (8/20 points) without any kind of support material consult and a practical component (12/20 points) with permission to consult the bibliography. Global examination time is 3 hours.
Special assessment (TE, DA, ...)
According FEUP's regulations.
Classification improvement
According FEUP's regulations.
Observations
Knowledge of computational software "Matlab" is recommended.