Theory of Vibration
Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.
English Book & Chapters
English Book Coming Soon
We are working hard to add this material. Stay tuned for updates!
Follow on Instagram for UpdatesGTU Previous Year Papers
Papers Coming Soon
We are working hard to add this material. Stay tuned for updates!
Follow on Instagram for UpdatesTheory of Vibration Syllabus — Unit-wise Content
The official GTU curriculum for Theory of Vibration (subject code BE05001041) as prescribed for Aero · Semester 5 divides the course into 5 units, covering 47 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (BE05001041)Unit 1 Fundamentals of Vibration and SDOF Free Vibrations
- Vibration Terminology and Basic Concepts: Introduction and importance of vibration
- Definitions and basic concepts
- Methods of vibration analysis
- Types of Program Name: Bachelor of Engineering Level: UG Branch: Aeronautical Engineering Subject Code: BE05001041 Subject Name: Theory of Vibration vibrations
- Periodic and harmonic motion
- Beats phenomenon
- Representation of harmonic motion in complex form Undamped Free Vibrations: Derivation of differential equations
- Torsional vibrations
- Equivalent stiffness of spring combinations
- Simple pendulum
- Compound pendulum Damped Free Vibrations: Types of damping
- Differential equation of damped free vibration
- Logarithmic decrement
Unit 2 Forced Vibrations (SDOF Systems)
- Sources of excitation
- Equation of motion with harmonic force
- Response of rotating and reciprocating unbalanced systems
- Support motion
- Vibration isolation
- Vibration transmissibility
- Vibration measuring instruments
- Frequency measuring devices
- Critical speed of shaft
- Response to arbitrary loading (Duhamel’s Integral)
- Impulse loading
Unit 3 Two Degree of Freedom (2-DOF) Systems
- Introduction to multi-degree systems
- Principal modes of vibration
- Torsional vibrations of 2-DOF systems
- Coordinate coupling
- Undamped 2-DOF free vibrations
- Damped 2-DOF free vibrations
- Undamped forced vibrations with harmonic excitation
- Vibration absorbers
- Difference between vibration absorber and vibration isolator
Unit 4 Multi Degree of Freedom (MDOF) Systems
- Derivation of equations of motion
- Influence coefficient method
- Flexibility and stiffness matrices
- Reciprocity theorem
- Eigenvalues and eigenvectors
- Modal analysis
Unit 5 Vibrations of Continuous Systems
- Vibration of strings
- Longitudinal vibrations of rods
- Torsional vibrations of rods
- Transverse vibration of beams (equation of motion & boundary conditions)
- Natural frequencies and mode shapes of beams
- Rayleigh Method
- Rayleigh–Ritz Method
- Galerkin’s Method
Study on Android App:
