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Numerical Methods/FEM

TL;DR

The finite element method (FEM) is a numerical technique used to perform finite element analysis (FEA) of any given physical phenomenon.

Practically every Physics problem that needs solving has to be solved by numerical methods in the modern tech world. Approximating solutions to solve partial differential equations seems a useful approach when solving difficult problems on complex geometries.

FEM is a way to find approximate solutions to these ‘impossible to solve’ PDEs with numerically modeled equations, which can be solved using numerical methods. Solutions to numerical modeled equations approximate the solutions of PDEs.

3D Rendering of Solid Models with Meshing and Deformed Finite Element Analysis Result

How did I learn the skill?

Subjects studied

  1. ME 4709 Computer Aided Design
    Design prodess does not stop after iterating and arriving at a shape concept. The design finalized is tested and analyzed in solvers which solve partial differentiel equations to arrive at solutions that pertain to the problem. Mostly, these equations are equations of Physics to solve displacement, stress – strains and forces in case of structural problems, and flow rates + relevant stuff in case of CFD (Computational Fluid Dynamics).

    The final project required us to code the equations in ANSYS APDL, to find the approximate solutions

    Grade Earned: A+
  2. ME 58100 – Numerical Methods in Mechanical Engineering
    Studying different methods for solving the PDE that pertain to various FEM Problems.
    Mathematical Modelling done in Python.
    Grade Earned: (currently studying)

Certifications

  1. ANSYS
  2. DS SolidWorks
  3. Hypermesh

Projects, Internships & Awards

  1. Invented New Tech: Design and Fabrication of 3D-Printed Micro-Fluid Filter using Geometric Stacking of Photoactive Resins.
  2. High Strain Rate Testing and Analysis of Aero Materials

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