Courses--> Mechanical Engineering --> Finite Element Method (Video)

Mechanical Engineering

Finite Element Method  (Video Course)

IIT Kanpur

Faculty Coordinators

 

Prof. C. S. Upadhayay

Department of Aerospace Engineering
Indian Institute of Technology Kanpur
Kanpur - 208 016,
Email : shekhar@iitk.ac.in
Telephone : (91-512) 2597 936 (Office)
                  (91-512)               (Residence)
                  

 
Detailed Syllabus

 

Module 1              (3 hrs)
Objective of the Course, Basic Steps in FEM Formulation, General Applicability of the Method; Variational Functional, Ritz Method.


Module 2
              (4 hrs)
Variational FEM : Derivation of Elemental Equations, Assembly, Imposition of Boundary Conditions, Solution of the Equations.


Module 3
              (3 hrs)
1 -D Elements, Basis Functions and Shape Functions, Convergence Criteria, h and p Approximations.

Module 4
 
             (3 hrs)
Natural Coordinates, Numerical Integration, Gauss Elimination based Solvers.


Module 5
              (3 hrs)
Computer implementation: Pre-processor, Processor, Post-processor.



Module 6
 
             (4 hr)
Alternate Formulation: Weighted Residual Method, Galerkin Method;
Problems with C1 Continuity: Beam Bending, Connectivity and Assembly of C1 Continuity Elements.


Module 7
              (5 hrs)
Variational Functional; 2-D Elements (Triangles and Quadrilaterals) and Shape Functions.


Module 8
              (3 hrs)
Natural Coordinates, Numerical Integration, Elemental Equations, .Connectivity and Assembly, Imposition of Boundary Conditions.


Module 9
              (4 hrs)
Axisymmetric (Heat Conduction) Problem, Plane Strain and Plane Stress Solid Mechanics Problems.


Module 10
              (3 hrs)
Sub-parametric, Iso-parametric and Super-parametric Elements; Elements with C1 Continuity.


Module 11 
             (3 hrs)
Free Vibration Problems, Formulation of Eigen Value Problem, FEM Formulation.


Module 12
              (3 hrs)
Time-dependent Problems, Combination of Galerkin FEM and FDM (Finite Difference Method), Convergence and Stability of FD Scheme.


Module 13 
             (2 hrs)
Problems with Material Non-linearity, Direct Solution Technique



Download Syllabus (PDF)

 

 

 

 

 

 

 

 

 

 

 

 

 

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