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Vibration of Continuous Systems

Track :

Engineering

Lessons no : 39

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What will you learn in this course?
  • Analyze the vibrational behavior of continuous systems using differential equations and boundary conditions
  • Apply mathematical methods to model and solve vibration problems in beams, plates, and shells
  • Identify natural frequencies and mode shapes of continuous structures for engineering applications
  • Evaluate the effects of material properties and boundary conditions on the vibrational response of structures
  • Utilize computational tools to simulate and analyze vibrations in continuous systems
  • Design and optimize structures to minimize vibrations and enhance stability in real-world scenarios
  • Interpret experimental data to validate theoretical models of continuous system vibrations
  • Develop solutions for damping and vibration control in large-scale engineering structures
  • Understand the impact of external forces and dynamic loading on continuous systems’ vibrational behavior
  • Implement practical techniques for measuring and analyzing vibrations in continuous structures
  • Apply principles of vibration analysis to improve the safety and performance of mechanical and civil engineering systems
  • Communicate complex concepts of continuous system vibrations effectively in technical and professional contexts

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  • Watch All Lessons
  • Watch at least 50% of Lesson Duration
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  • The Certificate is free !
Lessons | 39
Vibration of Continuous Systems Intro Video
00:08:26

Vibration of Continuous Systems Intro Video
Lec 2 Time Domain Analysis of Linear System Harmonic input
00:58:37

Lec 2 Time Domain Analysis of Linear System Harmonic input
Lec 3 Time Domain Analysis of Linear System – Arbitrary Input
01:01:47

Lec 3 Time Domain Analysis of Linear System – Arbitrary Input
Lec 4 Transformed technique in vibration of linear system
01:05:26

Lec 4 Transformed technique in vibration of linear system
Lec 5 Formulation of problem Equilibrium Approach
00:52:51

Lec 5 Formulation of problem Equilibrium Approach
Lec 6 Formulation of problem by Energy Principle
01:02:37

Lec 6 Formulation of problem by Energy Principle
Lec 7 Hamilton s principles for formulating vibration problems
00:59:26

Lec 7 Hamilton s principles for formulating vibration problems
Lec 8 Lagrange s equation for formulating vibration problems
00:55:32

Lec 8 Lagrange s equation for formulating vibration problems
Lec 9 One Dimensional Wave Equation
00:49:57

Lec 9 One Dimensional Wave Equation
Lec 10 D Alembert s Solution of the Wave Equation
00:59:12

Lec 10 D Alembert s Solution of the Wave Equation
Lec 11 Transverse Vibration of String
00:53:02

Lec 11 Transverse Vibration of String
Lec 12 Forced Transverse Vibration of String
01:01:24

Lec 12 Forced Transverse Vibration of String
Lec 13 Axial Vibration of Bar
00:52:49

Lec 13 Axial Vibration of Bar
Lec 14 Torsional Vibration of Bar
00:56:30

Lec 14 Torsional Vibration of Bar
Lec 15 Some typical problems in axial and torsional vibrations
01:04:15

Lec 15 Some typical problems in axial and torsional vibrations
Lec 1 General Introduction and Modelling of Dynamic Systems
00:56:33

Lec 1 General Introduction and Modelling of Dynamic Systems
Lec 16 Transverse vibration of beams
01:01:26

Lec 16 Transverse vibration of beams
Lec 17 Natural frequencies and mode shapes of beams with various end conditions
01:16:46

Lec 17 Natural frequencies and mode shapes of beams with various end conditions
Lec 18 Free damped transverse vibration analysis of beam
00:59:52

Lec 18 Free damped transverse vibration analysis of beam
Lec 19 Forced damped vibration analysis of Euler Bernoulli beam
01:12:33

Lec 19 Forced damped vibration analysis of Euler Bernoulli beam
Lec 20 Vibration of beams subjected to moving load
01:07:17

Lec 20 Vibration of beams subjected to moving load
Lec 21 Some special topics on the transverse vibration of beam
01:14:41

Lec 21 Some special topics on the transverse vibration of beam
Lec 22 Combination of continuous and lumped parameter system
01:09:51

Lec 22 Combination of continuous and lumped parameter system
Lec 23 State space solutions in vibration problems
01:05:15

Lec 23 State space solutions in vibration problems
Lec 24 Beam with moving oscillator pulstating force and rolling mass
01:09:50

Lec 24 Beam with moving oscillator pulstating force and rolling mass
Lec 25 Vibration of membrane
01:01:52

Lec 25 Vibration of membrane
Lec 26 Vibration of Circular membrane
00:52:26

Lec 26 Vibration of Circular membrane
Lec 27 Vibration of Rectangular plate
01:13:10

Lec 27 Vibration of Rectangular plate
Lec 28 Free vibration of rectangular plates
01:00:10

Lec 28 Free vibration of rectangular plates
Lec 29 Forced vibration of rectangular plates
01:10:54

Lec 29 Forced vibration of rectangular plates
Lec 30 Approximate method for vibration analysis
01:02:27

Lec 30 Approximate method for vibration analysis
Lec 31 Rayleigh Ritz method for vibration analysis
01:09:38

Lec 31 Rayleigh Ritz method for vibration analysis
Lec 32 Gallerkin s method and Finite difference method
00:51:23

Lec 32 Gallerkin s method and Finite difference method
Lec 33 System subjected to support excitation
00:45:56

Lec 33 System subjected to support excitation
Lec 34 Response of continuous systems to transient excitations
01:11:10

Lec 34 Response of continuous systems to transient excitations
Lec 35 Shock spectrum due to half sine pulse
00:56:16

Lec 35 Shock spectrum due to half sine pulse
Lec 36 Numerical Evaluation of Duhamel Integral
01:12:31

Lec 36 Numerical Evaluation of Duhamel Integral
Lec 37 Direct Integration Methods
01:09:07

Lec 37 Direct Integration Methods
Lec 38 Spectral Analysis of structures for earthquake excitation
01:08:08

Lec 38 Spectral Analysis of structures for earthquake excitation


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AMAL MURALI

GOOD 2025-08-29

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nice 2024-11-30

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GOOD 2024-11-26

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gained very much informative things 2024-11-24

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Good 2024-11-21

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Good Session 2024-11-20

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Vibration of Continuous course in hindi, In this course we explore the dynamics of continuous structures and study their vibrational behavior and applications.