Mechanical Vibrations and Noise

Code:

EM0043

Acronym:

VR

Keywords
Classification	Keyword
OFICIAL	Applied Mechanics

Instance: 2006/2007 - 2S

Active?	Yes
Responsible unit:	Applied Mechanics Section
Course/CS Responsible:	Master in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEM	1	Plano de estudos de transição para 2006/07	4	6	6	56	160
MIEM	51	Syllabus since 2006/2007	4	-	6	56	160
		Plano de estudos de transição para 2006/07	4	-	6	56	160

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.