Theory of VIbrations detail syllabus for Aeronautical Engineering (Aero), 2017 scheme is taken from VTU official website and presented for VTU students. The course code (17AE553), and for exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below.
For all other aero 5th sem syllabus for be 2017 scheme vtu you can visit Aero 5th Sem syllabus for BE 2017 Scheme VTU Subjects. For all other Professional Elective-1 subjects do refer to Professional Elective-1. The detail syllabus for theory of vibrations is as follows.
Course Objectives:
This course will enable students to
- Understand the basic concepts of vibrations.
- Understand the working principle of vibration measuring instruments.
- Acquire the knowledge of numerical methods for multi-degree freedom systems.
Module 1
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Module 2
Undamped Free Vibrations: Single degree of freedom systems. Undamped free vibration, natural frequency of free vibration, Spring and Mass elements, effect of mass of spring, Compound Pendulum. Damped Free Vibrations: Single degree of freedom systems, different types of damping, concept of critical damping and its importance, study of response of viscous damped systems for cases of under damping, critical and over damping, Logarithmic decrement.
Module 3
Forced Vibration: Single degree of freedom systems, steady state solution with viscous damping due to harmonic force. Solution by Complex algebra, reciprocating and rotating unbalance, vibration isolation, transmissibility ratio. due to harmonic exitation and support motion. Vibration Measuring Instruments & Whirling of Shafts: Vibration of elastic bodies – Vibration of strings – Longitudinal, lateral and torsional Vibrations.
Module 4
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Module 5
Numerical Methods for Multi-Degree Freedom Systems: Introduction, Influence coefficients, Maxwell reciprocal theorem, Dunkerley’s equation. Orthogonality of principal modes, Method of matrix iteration-Method of determination of all the natural frequencies using sweeping matrix and Orthogonality principle. Holzer’s method, Stodola method.
Course Outcomes:
After studying this course, students will be able to:
- Apply the principle of super position to Simple Harmonic Motions.
- Determine the vibrations using vibration instruments.
- Apply the numerical methods for multi-degree freedom systems.
Graduate Attributes (as per NBA):
- Engineering Knowledge.
- Problem Analysis.
- Design / development of solutions
- Interpretation of data
Question paper pattern:
- The question paper will have ten questions.
- Each full question consists of 16 marks.
- There will be 2full questions (with a maximum of four sub questions) from each module.
- Each full question will have sub questions covering all the topics under a module.
- The students will have to answer 5 full questions, selecting one full question from each module.
Text Books:
- W.T. Thomson and Marie Dillon Dahleh, Theory of Vibration with Applications, Pearson Education 5th edition, 2008,ISBN-13: 978-8131704820.
- V.P. Singh ,Mechanical Vibrations, Dhanpat Rai& Company Pvt. Ltd.,2016,ISBN-13: 978-8177004014.
Reference Books:
- S.S. Rao, Mechanical Vibrations, Pearson Education Inc, 4th Edition,2003,ISBN-13: 9788177588743
- S. Graham Kelly, Mechanical Vibrations- Schaum’s Outline Series, Tata McGraw Hill, Special Indian edition, 2007.
- J.S. Rao & K. Gupta, Theory & Practice of Mechanical vibrations, New Age International Publications, New Delhi, 2001.
- Leonanrd Meirovitch, Elements of Vibrations Analysis, Tata McGraw Hill, Special Indian edition, 2007.
For detail syllabus of all other subjects of BE Aero, 2017 regulation do visit Aero 5th Sem syllabus for 2017 Regulation.
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