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Indian Institute of Technology Roorkee

Finite Element Method and Computational Structural Dynamics

Indian Institute of Technology Roorkee and NPTEL via Swayam

Overview

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.

Syllabus

Week 1:Floating point arithmetic and scientific computing Week 2:Mathematical modeling and approximate solutions Week 3:Finite Elements of 1 dimension Week 4:Finite Elements of 2 dimensions Week 5:Finite Elements of 2 dimensions – regular elements Week 6:Finite Elements of 2 dimensions – distorted elements, numerical integration Week 7:Finite Elements of 3 dimensions Week 8:Finite Elements for Plates and Shells Week 9:Solution of Large Scale Linear Simultaneous Equations Week 10:Solution of Large Scale Algebraic Eigenvalue Problem Week 11:Time Marching Methods for Initial Value Problems Week 12:Fourier Transforms and Analysis in Frequency Domain

Taught by

Prof. Manish Shrikhande

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