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Lec 23 Stability and bifurcation analysis of periodic and quasi periodic response

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Lessons List | 37 Lesson
Nonlinear Vibration Intro Video
00:12:29

Nonlinear Vibration Intro Video
Lec 1 Introduction to mechanical systems
00:44:53

Lec 1 Introduction to mechanical systems
Lec 2 Superposition rule Commonly used nonlinear equations
00:54:51

Lec 2 Superposition rule Commonly used nonlinear equations
Lec 3 Equilibrium points potential function
01:09:09

Lec 3 Equilibrium points potential function
Lec 4 Force and moment based Approach Lagrange Principle
00:50:12

Lec 4 Force and moment based Approach Lagrange Principle
Lec 5 ExtendedHamilton s principle
00:56:03

Lec 5 ExtendedHamilton s principle
Lec 6 Use of scaling and book keeping parameter for ordering
00:50:04

Lec 6 Use of scaling and book keeping parameter for ordering
Lec 7 Numerical solution Analytical solutions Harmonic Balance method
00:50:14

Lec 7 Numerical solution Analytical solutions Harmonic Balance method
Lec 8 Straight forward expansion
00:42:22

Lec 8 Straight forward expansion
Lec 9 Lindstd Poincare method
00:56:11

Lec 9 Lindstd Poincare method
Lec 10 Method of Averaging
00:57:42

Lec 10 Method of Averaging
Lec 11 Method of multiple scales
00:59:04

Lec 11 Method of multiple scales
Lec 12 Method of generalized Harmonic Balance method
00:57:24

Lec 12 Method of generalized Harmonic Balance method
Lec 13 Free vibration of undamped and damped SDOF systems with quadratic and cubic nonlinearity
00:58:31

Lec 13 Free vibration of undamped and damped SDOF systems with quadratic and cubic nonlinearity
Lec 14 Super and sub harmonic resonance conditions
01:04:27

Lec 14 Super and sub harmonic resonance conditions
Lec 15 Bifurcation analysis of fixed point response
00:43:26

Lec 15 Bifurcation analysis of fixed point response
Lec 16 Nonlinear system with hard excitations
00:59:01

Lec 16 Nonlinear system with hard excitations
Lec 17 Super and sub harmonic resonance conditions
00:59:07

Lec 17 Super and sub harmonic resonance conditions
Lec 18 Bifurcation analysis of fixed point response
00:58:54

Lec 18 Bifurcation analysis of fixed point response
Lect 19 Floquet theory Hill s infinite determinant Resonance in parametrically excited systems
00:57:11

Lect 19 Floquet theory Hill s infinite determinant Resonance in parametrically excited systems
Lect 20 Parametrically excited pneumatic artificial muscle
01:03:51

Lect 20 Parametrically excited pneumatic artificial muscle
Lect 21 Parametric instability of sandwich plate
00:58:11

Lect 21 Parametric instability of sandwich plate
Lec 22 Analysis of periodic quasi periodic and chaotic systems
01:00:37

Lec 22 Analysis of periodic quasi periodic and chaotic systems
Lec 23 Stability and bifurcation analysis of periodic and quasi periodic response
00:58:23

Lec 23 Stability and bifurcation analysis of periodic and quasi periodic response
Lec 24 Analysis of chaotic system
00:59:54

Lec 24 Analysis of chaotic system
Lec 25 Numerical methods for finding roots and solutions of ODE
00:41:41

Lec 25 Numerical methods for finding roots and solutions of ODE
Lec 26 Time response phase portraits frequency response
01:03:42

Lec 26 Time response phase portraits frequency response
Lec 27 Poincare section FFT Lyapunov exponent
01:07:47

Lec 27 Poincare section FFT Lyapunov exponent
Lec 28 Pasive and Active vibration absorber with displacement and acceleration feedback
00:54:08

Lec 28 Pasive and Active vibration absorber with displacement and acceleration feedback
Lec 29 Active vibration absorber with time delay acceleration feedback by HBM
00:58:43

Lec 29 Active vibration absorber with time delay acceleration feedback by HBM
Lec 30 Application of Active vibration absorber with combination feedback
00:53:15

Lec 30 Application of Active vibration absorber with combination feedback
Lec 31 Cantilever beam with tip mass for principal parametric resonance
00:55:11

Lec 31 Cantilever beam with tip mass for principal parametric resonance
Lec 32 Cantilever beam with tip mass for combination resonance
01:03:59

Lec 32 Cantilever beam with tip mass for combination resonance
Lec 33 Cantilever beam based piezoelectric based energy harvestor
00:58:45

Lec 33 Cantilever beam based piezoelectric based energy harvestor
Lec 34 Nonlinear synamics of turning operation with delay and internal resonance
01:03:37

Lec 34 Nonlinear synamics of turning operation with delay and internal resonance
Lec 35 Chatter in rolling mills and dynamic analysis of artificial pneumatic muscle
01:06:36

Lec 35 Chatter in rolling mills and dynamic analysis of artificial pneumatic muscle
Lec 36 Chaotic systems and control of chaos
01:09:29

Lec 36 Chaotic systems and control of chaos

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Course Description

Mechanical Systems course in hindi, in this course explores principles, design, and analysis of various mechanical systems and their applications in engineering.
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