Lecture 1 - Equations of motion using Hamiltons principle

Lecture 2 - Equations of motion for continuous systems and Rayleighs quotient

Lecture 3 - Rayleigh Ritz method and method of weighted residuals

Lecture 4 - FEM: motivations. Analysis of axially vibrating rods and Euler-Bernoulli beams

Lecture 5 - Beam elements. Reference systm. Assembly of matrices. Imposition of BCS. Final equation of motion

Lecture 6 - FE modelling of planar structures

Lecture 7 - FE modelling of planar structures (Continued...)

Lecture 8 - FRF-s and damping models-1

Lecture 9 - FRF-s and damping models-2

Lecture 10 - Material damping models. Dynamic stiffness and transfer matrices

Lecture 11 - Twisting of circular bars and rectangular bars. Analysis of grids

Lecture 12 - 3D frames

Lecture 13 - Mathematical preliminaries and terminologies; Eulers forward and backward difference methods

Lecture 14 - Forward and backward Euler method. Central difference method

Lecture 15 - Second order implicit methods

Lecture 16 - Energy conservation. Nonlinear systems

Lecture 17 - Model reduction schemes

Lecture 18 - Substructuring schemes

Lecture 19 - Plane stress models

Lecture 20 - Plane stress models (Continued...)

Lecture 21 - 3d Solid element

Lecture 22 - Axisymmetric models. Plate bending elements.

Lecture 23 - Plate bending elements (Continued...)

Lecture 24 - Plate bending elements (Continued...)

Lecture 25 - Plate bending elements (Continued...)

Lecture 26 - Introduction

Lecture 27 - Introduction (Continued...)

Lecture 28 - Nonlinear dynamical systems, fixed points and bifurcations

Lecture 29 - Energy methods in stability analysis

Lecture 30 - FEM for stability analysis. Euler-Bernoulli beam and general formulations

Lecture 31 - 3D beam element; plate element; imperfection sensitive structures; beams on elastic foundations; rings and arches

Lecture 32 - Dynamic analysis of stability and analysis of time varying systems

Lecture 33 - Dynamic analysis of stability and analysis of time varying systems

Lecture 34 - FE modelling of vehicle structure interactions

Lecture 35 - Inverse response sensitivity analysis

Lecture 36 - Inverse response sensitivity analysis (Continued...)

Lecture 37 - Introduction and review of continuum mechanics

Lecture 38 - Review of measures of strain and stress; balance laws

Lecture 39 - Total and updated Lagrangian formulations

Lecture 40 - Closure