MR4021 Modeling and Analysis of Electro Mechanical Systems Syllabus:

MR4021 Modeling and Analysis of Electro Mechanical Systems Syllabus – Anna University PG Syllabus Regulation 2021

COURSE OBJECTIVES

1. To equip students with fundamentals of finite element principles.
2. To enable them to understand the behavior of various finite elements and to be able to select appropriate elements to solve physical and engineering problems to emphasis on structural, thermal, Electrical and fluid engineering applications.
3. To make them to understand to shape functions and higher order formulation.
4. To learn various quantities in engineering problems and also make them to work on preprocessing, meshing, boundary condition assigning and post processing.
5. To make them to work on real time problem by giving various case studies and explore them to the FEM software available in the market.

UNIT – I FINITE ELEMENT MODELLING

Basics of FEM – Initial Value and Boundary Value Problems – Weighted Residual Galerkin and Raleigh Ritz Methods – Review of Variational Calculus – Integration by Parts – Basics of Variational Formulation.

UNIT – II ONE DIMENSIONAL ANALYSIS

Steps in FEA – Discretization, Function – Derivation of Element Characteristics Matrix, Shape Function, Assembly and Imposition of Boundary Conditions – Solution and Post Processing – One Dimensional Analysis in Solid Mechanics, Heat Transfer, Fluid Dynamics, Electrostatics and Electromagnetics.

UNIT – III SHAPE FUNCTIONS AND HIGHER ORDER FORMULATIONS

Global and Natural Co-Ordinates – Shape Functions for One and Two Dimensional Elements – Three Noded Triangular and Four Noded Quadrilateral Element – Nonlinear Analysis – Isoparametric Elements – Jacobian Matrices and Transformations – Basics of Two Dimensional Axi Symmetric Analysis.

UNIT – IV ELECTROMECHANICAL SYSTEMS AND IMPLEMENTATION

Basic quantities – Energy Stored in Electric Field – Capacitance – Magnetic Field – Linked Flux – Inductance – Force – Torque – Stress- Flow- Pre Processing, Mesh Generation, Elements Connectivity, Boundary Conditions, Input of Material and Processing Characteristics – Solution and Post Processing.

UNIT – V CASE STUDIES

FE Analysis of biomechanical Modelling – Tissue Modelling – Actuators – Rotating Machines Sensors – Robot Arm- Overview of Application Packages – ANSYS, ABAQUS and COMSOL – Development of Model and Validation.

TOTAL: 45 PERIODS

COURSE OUTCOMES:

Upon completion of this course, the students will be able to:
CO1: Understand the fundamentals of finite element principles.
CO2: Evaluate and select appropriate elements to solve Physical and Engineering problem in structural, thermal, Electrical and fluid engineering applications.
CO3: Understand shape functions and higher order formulation.
CO4: Evaluate and select appropriate element, boundary condition, meshing and Post processing for any engineering problem.
CO5: create FEM model on various software packages used for FEM analysis tool toi analyse a production process through FEA and control it’s parameters.

REFERENCES:

1. Bathe, K. J. “Finite Element Procedures” Klaus-Jürgen Bathe, 2014.
2. Binns K.J, Lawrenson P.J, Trowbridge C.W, “The Analytical and Numerical Solution of Electric and Magnetic Fields”, John Wiley & Sons, 1993.
3. Matthew. N.O. Sadiku, “Elements of Electromagnetics”, Oxford University Press, 2007.
4. Nathan Ida, Joao P.A.Bastos , “Electromagnetics and Calculation of Fields”,
5. Springer Verlage, 1992.
6. Nicola Biyanchi , “Electrical Machine Analysis using Finite Elements”, Taylor and
7. Francis Group, CRC Publishers, 2005.
8. Reddy, J.N, “An Introduction to the Finite Element Method”, McGrawHill, 1985.
9. Salon S.J, “Finite Element Analysis of Electrical Machines” Kluwer Academic Publishers, 1995.