Learn · Vibration of Continuous Systems
Lecture 3 of 38week-01
Lec 3: Time Domain Analysis of Linear System – Arbitrary Input
Prof. Sudip Talukdar · IIT Guwahati
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- Vibration of Continuous Systems, IIT Guwahati (at NPTEL)
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All the lectures
- Lec 1: General Introduction and Modelling of Dynamic Systems
- Lec 2: Time Domain Analysis of Linear System - Harmonic input
- Lec 3: Time Domain Analysis of Linear System – Arbitrary Input
- Lec 4: Transformed technique in vibration of linear system
- Lec 1: Formulation of problem: Equilibrium Approach
- Lec 2: Formulation of problem by Energy Principle
- Lec 3: Hamilton’s principles for formulating vibration problems
- Lec 4: Lagrange’s equation for formulating vibration problems
- Lec 5: One Dimensional Wave Equation
- Lec 6: D-Alembert’s Solution of the Wave Equation
- Lec 7: Transverse Vibration of String
- Lec 8: Forced Transverse Vibration of String
- Lec 9: Axial Vibration of Bar
- Lec 10: Torsional Vibration of Bar
- Lec 11: Some typical problems in axial and torsional vibrations
- Lec 12: Transverse vibration of beams
- Lec 13: Natural frequencies and mode shapes of beams with various end conditions
- Lec 14: Free damped transverse vibration analysis of beam
- Lec 15: Forced damped vibration analysis of Euler Bernoulli beam
- Lec 16: Vibration of beams subjected to moving load
- Lec 17: Some special topics on the transverse vibration of beam
- Lec 18: Combination of continuous and lumped parameter system
- Lec 19 : State space solutions in vibration problems
- Lec 20: Beam with moving oscillator, pulstating force and rolling mass
- Lec 21: Vibration of membrane
- Lec 22: Vibration of Circular membrane
- Lec 27: Vibration of Rectangular plate
- Lec 28: Free vibration of rectangular plates
- Lec 29: Forced vibration of rectangular plates
- Lec 30: Approximate method for vibration analysis
- Lec 31: Rayleigh-Ritz method for vibration analysis
- Lec 32: Gallerkin's method and Finite difference method
- Lec 33: System subjected to support excitation
- Lec 34: Response of continuous systems to transient excitations
- Lec 35: Shock spectrum due to half sine pulse
- Lec 36: Numerical Evaluation of Duhamel Integral
- Lec 37: Direct Integration Methods
- Lec 38: Spectral Analysis of structures for earthquake excitation