1 | Equations of motion using Hamilton’s principle | PDF unavailable |
2 | Equations of motion for continuous systems and Rayleigh’s quotient | PDF unavailable |
3 | Rayleigh Ritz method and method of weighted residuals | PDF unavailable |
4 | FEM: motivations. Analysis of axially vibrating rods and Euler-Bernoulli beams | PDF unavailable |
5 | Beam elements. Reference systm. Assembly of matrices. Imposition of BCS. Final equation of motion. | PDF unavailable |
6 | FE modelling of planar structures | PDF unavailable |
7 | FE modelling of planar structures (continued) | PDF unavailable |
8 | FRF-s and damping models-1 | PDF unavailable |
9 | FRF-s and damping models-2 | PDF unavailable |
10 | Material damping models. Dynamic stiffness and transfer matrices | PDF unavailable |
11 | Twisting of circular bars and rectangular bars. Analysis of grids | PDF unavailable |
12 | 3D frames | PDF unavailable |
13 | Mathematical preliminaries and terminologies; Euler’s forward and backward difference methods. | PDF unavailable |
14 | Forward and backward Euler method. Central difference method | PDF unavailable |
15 | Second order implicit methods | PDF unavailable |
16 | Energy conservation. Nonlinear systems. | PDF unavailable |
17 | Model reduction schemes | PDF unavailable |
18 | Substructuring schemes | PDF unavailable |
19 | Plane stress models | PDF unavailable |
20 | Plane stress models (continued) | PDF unavailable |
21 | 3d Solid element | PDF unavailable |
22 | Axisymmetric models. Plate bending elements. | PDF unavailable |
23 | Plate bending elements (continued) | PDF unavailable |
24 | Plate bending elements (continued). | PDF unavailable |
25 | Plate bending elements [continued] | PDF unavailable |
26 | Introduction | PDF unavailable |
27 | Introduction (continued) | PDF unavailable |
28 | Nonlinear dynamical systems, fixed points and bifurcations | PDF unavailable |
29 | Energy methods in stability analysis | PDF unavailable |
30 | FEM for stability analysis. Euler-Bernoulli beam and general formulations | PDF unavailable |
31 | 3D beam element; plate element; imperfection sensitive structures; beams on elastic foundations; rings and arches. | PDF unavailable |
32 | Dynamic analysis of stability and analysis of time varying systems | PDF unavailable |
33 | Dynamic analysis of stability and analysis of time varying systems. | PDF unavailable |
34 | FE modelling of vehicle structure interactions | PDF unavailable |
35 | Inverse response sensitivity analysis | PDF unavailable |
36 | Inverse response sensitivity analysis (continued) | PDF unavailable |
37 | Introduction and review of continuum mechanics | PDF unavailable |
38 | Review of measures of strain and stress; balance laws. | PDF unavailable |
39 | Total and updated Lagrangian formulations | PDF unavailable |
40 | Closure | PDF unavailable |