Finite Element Method and Computational Structural Dynamics

Easy availability of computing power has made the computer aided engineering accessible to a wider section of the engineering workforce. To harness the potential of available computational resources, one needs to harmonize the twin aspects of theory and practice. While most of the graduate courses teach finite element method, its application to a range of problems using software tools is generally left out. The objective of this course is to approach the finite element theory from a perspective of effective computer implementation with an extensive set of tutorial problems based on public domain software tools.INTENDED AUDIENCE : Post graduate students in Civil / Structural / Geotechnical / Mechanical/Aerospace Engineering and MathematicsPRE REQUISITE :Basic course in CalculusSUPPORTED INDUSTRIES : Firms involved in CAD/CAE.

Week 1:Floating point arithmetic and scientific computingWeek 2:Mathematical modeling and approximate solutionsWeek 3:Finite Elements of 1 dimensionWeek 4:Finite Elements of 2 dimensionsWeek 5:Finite Elements of 2 dimensions – regular elementsWeek 6:Finite Elements of 2 dimensions – distorted elements, numerical integrationWeek 7:Finite Elements of 3 dimensionsWeek 8:Finite Elements for Plates and ShellsWeek 9:Solution of Large Scale Linear Simultaneous EquationsWeek 10:Solution of Large Scale Algebraic Eigenvalue ProblemWeek 11:Time Marching Methods for Initial Value ProblemsWeek 12:Fourier Transforms and Analysis in Frequency Domain