COURSE UNIT TITLE

: RANDOM VIBRATIONS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MEE 5020 RANDOM VIBRATIONS ELECTIVE 3 0 0 9

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

Offered to

Machine Theory and Dynamics (English)
Machine Theory and Dynamics (English)
Machine Theory and Dynamics (English)

Course Objective

Systems subject to random excitations require different concepts and methods of analysis those used for harmonic or transient vibrations. The theory of random processes is an outgrowth of probability theory. In this course, it is aimed to present the pertinent results of the probability and statistics, and the principles of random vibration in a form that is directly applicable to mechanical problems; to inform the students on the application of these principles to problems of mechanical design.

Learning Outcomes of the Course Unit

1   Defining random vibration and its sources.
2   Distinguishing different random processes.
3   Solving the problems of random vibration transmission.
4   Analysing the response on the basis of various parameters affecting random vibration.
5   Predicting the type of failure due to random vibration.
6   Gathering the principles of random vibration to design mechanical elements and systems free from failure.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction Classification of Data, Classification of Deterministic Data, Classification of Random Data
2 Characterization of Random Vibration Random Processes, Probability Distributions
3 Characterization of Random Vibration Ensemble Averages, Mean, Autocorrelation and Covariance, Mass Analogy
4 Characterization of Random Vibration The Stationary and Ergodic Assumptions, Temporal Averages, Frequency Decomposition of Stationary Random Processes
5 Characterization of Random Vibration Spectral Density, The Normal (Gaussian) Random Process
6 Characterization of Random Vibration Wide-Band and Narrow-Band Random Processes
7 1st Mid-Term Examination
8 Transmission of Random Vibration Linear Time-Invariant Systems
9 Transmission of Random Vibration Excitation-Response Relations for Stationary Random Processes
10 Transmission of Random Vibration Response of a Single-Degree-of-Freedom System to Stationary Random Excitation
11 Transmission of Random Vibration Response of a Two-Degree-of-Freedom System to Stationary Random Excitation
12 2 nd Mid-Term Examination
13 Failure Due to Random Vibration Failure Mechanisms, Failure Due to First Excursion up to a Certain Level, Failure Due to Response Remaining above a Certain Level for too Great a Fraction of the Time
14 Failure Due to Random Vibration Failure Due to an Accumulation of Damage, Fatigue Failure, Fatigue Failure Due to a Stationary Narrow-Band Random Stress Process

Recomended or Required Reading

Text Book: Random Vibration in Mechanical Systems: Crandall, S.H. and Mark, W.D., Academic Press, New York, 1972.
Supplementary Book: Random Vibrations: Lutes, L.D. and Sarkani, S., Elsevier, 2004.

Planned Learning Activities and Teaching Methods

Lecture, homework

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 ASG ASSIGNMENT
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE ASG * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) ASG * 0.50 + RST * 0.50


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Lectures include whole of the learning outcomes.
Definition and description of random processes, solution of the problems on random vibration transmission, response analysis on the basis of various parameters affecting random vibration are evaluated in mid-term exams.
Prediction of the failure due to random vibration is evaluated in final exam.
Homework includes all topics including intensive mathematical computations with or without using computer. Additionally, the use of the principles of random vibration to design mechanical elements and systems free from failure is tested by homework.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

saide.sarigul@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 3 36
Preparation for midterm exam 2 24 48
Preparation for final exam 1 48 48
Preparations before/after weekly lectures 12 2 24
Preparing assignments 6 8 48
Midterm 2 3 6
Final 1 3 3
TOTAL WORKLOAD (hours) 213

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.15555
LO.25555
LO.35555
LO.45555
LO.55555
LO.65555

CONTACT INFORMATION
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