| Course Name | Finite Element Methods for Aerospace |
| Course Code | 23AEE402 |
| Program | B. Tech. in Aerospace Engineering |
| Semester | 7 |
| Credits | 3 |
| Campus | Coimbatore |
Introduction: Historical background, basic concept of the finite element method, Variational methods: calculus of variation, the Rayleigh-Ritz and Galerkin methods; Finite element analysis of 1-D problems: formulation by different approaches (direct, potential energy and Galerkin); Derivation of elemental equations and their assembly, solution and its postprocessing. Analysis of Truss members.
Coordinate systems, convergence criteria, Beam (bending) element: formulations and formation of shape function, Analysis of beams and frame members– 2D elements: Plane stress and Plane strain element formulation, shape function development, simple problems using 2D elements – axi-symmetric elements- iso-parametric formulation of elements.
Introduction to FE formulation of Plate bending and shell elements – Introduction to 3D element formulations – Numerical integration – Solution techniques of the numerical equations- Discussion about preprocessors, postprocessors and finite element packages.
Requisites: 23AEExxx Mechanics of Materials
Course Objectives
Understand the concepts of mathematical modelling of engineering problems by introducing the Finite Element (FE) Methods and to help the students use this method to solve simple aerospace structures and introducing different commercial FE software packages.
Course Outcomes
CO1: Understand the concepts behind the variational methods and weighted residual methods in FEM.
CO2: Illustrate the shape function concepts of 1D, 2D and 3D elements for development of stiffness matrix and load vector.
CO3: Apply numerical methods on one dimensional bar and beam elements for obtaining displacements, stresses, strains and reaction forces.
CO4: Understand the formulation of 2D and 3D and isoparametric elements.
CO5: Understand the numerical integration schemes and use of FE packages.
CO-PO Mapping
| PO/PSO | PO1 | PO2 | PO3 | PO4 | PO5 | PO6 | PO7 | PO8 | PO9 | PO10 | PO11 | PO12 | PSO1 | PSO2 | PSO3 |
| CO | |||||||||||||||
| CO1 | 3 | – | – | – | – | – | – | – | – | – | – | 1 | 3 | – | 2 |
| CO2 | 2 | 2 | 1 | – | – | – | – | – | – | – | – | 1 | 1 | – | 2 |
| CO3 | 2 | 3 | 3 | 1 | 2 | – | – | – | 1 | 2 | – | 1 | 1 | 2 | 2 |
| CO4 | 3 | 2 | 2 | 1 | 1 | – | – | – | 1 | – | – | 1 | 1 | 1 | 2 |
| CO5 | 1 | 2 | 2 | – | 3 | – | – | – | 2 | 2 | – | 2 | – | 2 | 2 |
Evaluation Pattern
| Assessment | Internal | End Semester |
| Midterm Exam | 30 | |
| *Continuous Assessment (CA) | 30 | |
| End Semester | 40 |
Text Book(s)
Daryl L. Logan, “A First Course in the Finite Element Method”, 5th edition, CL, New Delhi,2010.
Reference(s)
C. S. Krishnamoorthy, “Finite Element Analysis” , Tata McGraw-Hill Publishing Company Limited, New Delhi, 1999. David V. Hutton, “Fundamentals of Finite Element Analysis”, Tata McGraw-Hill Publishing Company Limited, New Delhi, 2017.
Megson, T. H. G., “ An introduction to aircraft structural analysis”, Butterworth-Heinemann, USA, 2010.
Tirupathi R. Chandrapatla and Ashok D. Belegundu, “Introduction to Finite Element in Engineering”, Fourth Edition, Pearson, 2015.
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