# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MECHANICAL VIBRATIONS/MM451
 Course Title: MECHANICAL VIBRATIONS Credits 3 ECTS 5 Course Semester 7 Type of The Course Elective
COURSE INFORMATION
-- (CATALOG CONTENT)
-- (TEXTBOOK)
-- (SUPPLEMENTARY TEXTBOOK)
-- (PREREQUISITES AND CO-REQUISITES)
-- LANGUAGE OF INSTRUCTION
Turkish
-- COURSE OBJECTIVES
-- COURSE LEARNING OUTCOMES
Natural frequency
Derivation of equations of motion for one degree of freedom systems.
Free vibrations of one degree of freedom systems.
Forced vibrations of one degree of freedom systems.
Vibration isolation
Dry friction
Vibrations of two degree of freedom systems.

-- MODE OF DELIVERY
The delivery mode of this course is face-to-face
 --WEEKLY SCHEDULE 1. Week INTRODUCTION: A brief history of vibrations, importance of the study of vibration, basic concepts of vibrations; 2. Week CLASSIFICATION OF VIBRATIONS: Free and forced vibrations, undamped and damped vibrations, linear and nonlinear vibrations, deterministic and random v 3. Week VIBRATION ANALYSIS PROCEDURE: Spring element, mass or inertia element, damping element, harmonic motion, harmonic analysis. 4. Week FREE VIBRATION OF SINGLE DEGREE OF FREEDOM SYSTEMS: Free vibration of undamped translational system, solution of equation of motion, harmonic motion, 5. Week FREE VIBRATIONS WITH DAMPING: Free vibration of damped systems, logarithmic decrement, free vibrations with Coulomb damping, free vibrations with hys 6. Week HARMONICALLY EXCITED VIBRATIONS OF UNDAMPED VIBRATIONS: Equations of motion for an 7. Week FORCED VIBRATIONS OF DAMPED VIBRATIONS: Forced vibration of damped systems, response of a system for general periodic forcing, convolution integral, 8. Week TWO DEGREE OF FREEDOM SYSTEMS: Equations of motion for two degree of freedom systems and their solution. Torsional systems. 9. Week NATURAL FREQUENCIES AND MODE SHAPES: Coordinate coupling and principal coordinates, vibration modes and nodes. 10. Week DYNAMIC VIBRATION ABSORBER: Dynamic vibration absorbers and their design, dynamic vibration absorbers without damping, dynamic vibration absorbers wi 11. Week SEMI-DEFINITE SYSTEMS: Vibrations of semi-definite systems, stability, a case study. 12. Week NATURAL FREQUENCIES AND MODE SHAPES: Dunkerley’s formula, Rayleigh’s method, fundamental frequencies of beams and shafts. 13. Week NATURAL FREQUENCIES AND MODE SHAPES: Holzer’s method, matrix iteration method, Jacobi’s Method, the other methods. 14. Week MULTIDEGREE OF FREEDOM SYSTEMS: A general quick view of multidegree of freedom systems, an introduction to matrix methods, some examples of problems 15. Week 16. Week
-- TEACHING and LEARNING METHODS
-- ASSESSMENT CRITERIA
 Quantity Total Weighting (%) Midterm Exams 2 60 Assignment 0 0 Application 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Percent of In-term Studies 60 Percentage of Final Exam to Total Score 40