Vibration and Structural Dynamics

COURSE OUTLINE : The course aims at imparting fundamentals of vibration and structural dynamics to senior undergraduate and graduate students. The course primarily consists of four modules, namely, single degree of freedom, multi-degree of freedom, continuous system, and analytical methods. The objective of the course is to deliver problem solving capabilities, both for industrial problems and academic research. The course will start from basics of vibrations and gradually deal with more complex problems.

Vibration and Structural Dynamics.
Lecture 1: Introduction.
Lecture 02: Undamped Free Vibration.
Lecture 03: Damped Free Vibration.
Lecture 04: Damped Free Vibration (Contd.).
Lecture 05: Damped Free Vibration (Contd.).
Lecture 06: Force Vibration.
Lecture 07: Harmonic Loading.
Lecture 08: Harmonic Loading (Contd.).
Lecture 09: Harmonic Loading (Contd.).
Lecture 10: Harmonic Loading (Contd.).
Lecture 11:Impulse Load and Arbitrary Load.
Lecture 12: Impulse Load and Arbitrary Load (Contd.).
Lecture 13: MDOF, 2-Dof System.
Lecture 14:Normal Mode of Vib.
Lecture 15:Natural Frequency and Mode Shapes.
Lecture 16: Mode Shapes of MDOF.
Lecture 17: Mode Shapes and Response of MDOF.
Lecture 18: Examples on MDOF.
Lecture 19: Examples on MDOF (Contd.).
Lecture 20: Modal Expansion Theorem, Generalized Coord.
Lecture 21: Examples on Modal Analysis.
Lecture 22: Damping.
Lecture 23: Rigid Body Modes.
Lecture 24: Numerical Time Integration.
Lecture 25: Continuous System.
Lecture 26: Axial Vibration in Bar.
Lecture 27: Axial Vibration in Bar (Contd.).
Lecture 28: Bending Vibration in Beam.
Lecture 29: Bending Vibration in Beam (Contd.).
Lecture 30: Bending Vibration in Beam (Contd.).
Lecture 31: Modal Analysis.
Lecture 32: Modal Analysis (Contd.).
Lecture 33: Modal Analysis of Continuous System.
Lecture 34: Modal Analysis of Continuous System (Contd.).
Lecture 35: Approximate Method.
Lecture 36: Approximate Methods (Contd.).
Lecture 37: Collocation Method.
Lecture 38: Analytical Methods.
Lecture 39: Analytical Methods (Contd.).
Lecture 40: Analytical Methods (Contd.).