Vibration of Continuous Systems (English)

   Wednesday, April 10, 2024   

Starting a new Lecture Notes Series on Vibration of Continuous Systems

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Channel Name: NPTEL IIT Guwahati

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Vibration of Continuous Systems By Lecture Notes together!

Lecture 1: Vibration of Continuous Systems

Lecture 2: Lec 2: Time Domain Analysis of Linear System - Harmonic input

Lecture 3: Lec 3: Time Domain Analysis of Linear System – Arbitrary Input

Lecture 4: Lec 4: Transformed technique in vibration of linear system

Lecture 5: Lec 5: Formulation of problem: Equilibrium Approach

Lecture 6: Lec 6: Formulation of problem by Energy Principle

Lecture 7: Lec 7: Hamilton’s principles for formulating vibration problems

Lecture 8: Lec 8: Lagrange’s equation for formulating vibration problems

Lecture 9: Lec 9: One Dimensional Wave Equation

Lecture 10: Lec 10: D-Alembert’s Solution of the Wave Equation

Lecture 11: Lec 11: Transverse Vibration of String

Lecture 12: Lec 12: Forced Transverse Vibration of String

Lecture 13: Lec 13: Axial Vibration of Bar

Lecture 14: Lec 14: Torsional Vibration of Bar

Lecture 15: Lec 15: Some typical problems in axial and torsional vibrations

Lecture 16: Lec 1: General Introduction and Modelling of Dynamic Systems

Lecture 17: Lec 16: Transverse vibration of beams

Lecture 18: Lec 17: Natural frequencies and mode shapes of beams with various end conditions

Lecture 19: Lec 18: Free damped transverse vibration analysis of beam

Lecture 20: Lec 19: Forced damped vibration analysis of Euler Bernoulli beam

Lecture 21: Lec 20: Vibration of beams subjected to moving load

Lecture 22: Lec 21: Some special topics on the transverse vibration of beam

Lecture 23: Lec 22: Combination of continuous and lumped parameter system

Lecture 24: Lec 23 : State space solutions in vibration problems

Lecture 25: Lec 24: Beam with moving oscillator, pulstating force and rolling mass

Lecture 26: Lec 25: Vibration of membrane

Lecture 27: Lec 26: Vibration of Circular membrane

Lecture 28: Lec 27: Vibration of Rectangular plate

Lecture 29: Lec 28: Free vibration of rectangular plates

Lecture 30: Lec 29: Forced vibration of rectangular plates

Lecture 31: Lec 30: Approximate method for vibration analysis

Lecture 32: Lec 31: Rayleigh-Ritz method for vibration analysis

Lecture 33: Lec 32: Gallerkin's method and Finite difference method

Lecture 34: Lec 33: System subjected to support excitation

Lecture 35: Lec 34: Response of continuous systems to transient excitations

Lecture 36: Lec 35: Shock spectrum due to half sine pulse

Lecture 37: Lec 36: Numerical Evaluation of Duhamel Integral

Lecture 38: Lec 37: Direct Integration Methods

Lecture 39: Lec 38: Spectral Analysis of structures for earthquake excitation