Lecture 18 of 46Week 3: Solution of Nonlinear Equation of Motion
Lec 5 : ExtendedHamilton’s principle
Prof. S. K. Dwivedy · IIT Guwahati
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- Nonlinear Vibration, IIT Guwahati (at NPTEL)
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All the lectures
- What is MATLAB?
- What is Simulink?
- Getting Started with MATLAB
- Introduction to Plotting
- Calculations with Matrices
- Calculating Eigenvalues and Eigenvectors
- MATLAB Variables
- MATLAB Functions
- Logical Variables
- If-Else Statements
- Writing a FOR Loop
- Numerically Solving Systems of First Order ODEs
- Solving Systems of Linear Equations
- Lec 1 : Introduction to mechanical systems
- Lec 2 : Superposition rule, Commonly used nonlinear equations
- Lec 3 : Equilibrium points: potential function
- Lec 4 : Force and moment based Approach, Lagrange Principle
- Lec 5 : ExtendedHamilton’s principle
- Lec 6 : Use of scaling and book-keeping parameter for ordering
- Lec 13 : Free vibration of undamped and damped SDOF systems with quadratic and cubic nonlinearity
- Lec 14: Super and sub harmonic resonance conditions
- Lec 15 : Bifurcation analysis of fixed-point response
- Lec 16 : Nonlinear system with hard excitations
- Lec 17 : Super and sub harmonic resonance conditions
- Lec 18 : Bifurcation analysis of fixed-point response
- Lec 19: Floquet theory, Hill's infinite determinant, Resonance in parametrically excited systems
- Lect 20: Parametrically excited pneumatic artificial muscle
- Lect 21: Parametric instability of sandwich plate
- Lec 22 : Analysis of periodic, quasi-periodic and chaotic systems
- Lec 23 : Stability and bifurcation analysis of periodic and quasi-periodic response
- Lec 24 : Analysis of chaotic system
- Lec 25 : Numerical methods for finding roots and solutions of ODE
- Lec 26 : Time response, phase portraits, frequency response
- Lec 27 : Poincare section, FFT, Lyapunov exponent
- Lec 28 : Passive and active vibration absorber with displacement and acceleration feedback
- Lec 29 : Active vibration absorber with time delay acceleration feedback by HBM
- Lec 30 : Application of Active vibration absorber with time delay combination feedbacks
- Lec 31 : Cantilever beam with tip mass for principal parametric resonance
- Lec 32 : Cantilever beam with tip mass for combination resonance
- Lec 33 :Cantilever beam based piezoelectric based energy harvestor
- Lec 34 : Nonlinear dynamics of turning operation with delay and internal resonance
- Lec 35 : Chatter in rolling mills and dynamic analysis of artificial pneumatic muscle
- Lec 36 : Chaotic systems and control of chaos
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- Live Session 05-04-2021