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Vibration and Structural Dynamics

Vibration and Structural Dynamics. Instructor: Prof. Mira Mitra, Department of Aerospace Engineering, IIT Kharagpur. 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 the basics of vibrations and gradually deal with more complex problems. (from nptel.ac.in)

Lecture 15 - Natural Frequency and Mode Shapes

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Lecture 01 - Introduction

Lecture 02 - Undamped Free Vibration

Lecture 03 - Damped Free Vibration

Lecture 04 - Damped Free Vibration (cont.)

Lecture 05 - Damped Free Vibration (cont.)

Lecture 06 - Force Vibration

Lecture 07 - Harmonic Loading

Lecture 08 - Harmonic Loading (cont.)

Lecture 09 - Harmonic Loading (cont.)

Lecture 10 - Harmonic Loading (cont.)

Lecture 11 - Impulse Load and Arbitrary Load

Lecture 12 - Impulse Load and Arbitrary Load (cont.)

Lecture 13 - Multi-Degree of Freedom (MDOF) System, 2-DOF System

Lecture 14 - Normal Mode of Vibration

Lecture 15 - Natural Frequency and Mode Shapes

Lecture 16 - Mode Shapes of MDOF

Lecture 17 - Mode Shapes and Free Vibration Response of MDOF

Lecture 18 - Example on MDOF

Lecture 19 - Example on MDOF (cont.)

Lecture 20 - Modal Expansion Theorem, Generalized Coordinate

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 of Bar

Lecture 27 - Axial Vibration of Bar (cont.)

Lecture 28 - Bending Vibration in Beam

Lecture 29 - Bending Vibration in Beam (cont.)

Lecture 30 - Bending Vibration in Beam (cont.)

Lecture 31 - Modal Analysis

Lecture 32 - Modal Analysis (cont.)

Lecture 33 - Modal Analysis of Continuous System

Lecture 34 - Modal Analysis of Continuous System (cont.)

Lecture 35 - Approximate Methods

Lecture 36 - Approximate Methods (cont.)

Lecture 37 - Collocation Method

Lecture 38 - Analytical Methods

Lecture 39 - Analytical Methods (cont.)

Lecture 40 - Analytical Methods (cont.)