JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

ADVANCED FINITE ELEMENT METHODS

M.Tech I Year II Semester (R17)

UNIT - I

Introduction to FEM, basic concepts, historical back ground, applications of FEM, general description, comparison of FEM with other methods, variational approach, Glerkin’s Methods. Co-ordinates, basic element shapes, interpolation function, Virtual energy principle, Rayleigh – Ritz method, properties of stiffness matrix, treatment of boundary conditions, solution of system of equations, shape functions and characteristics, Basic equations of elasticity, strain- displacement relations.

UNIT - II

1-D Structural Problems: Axial bar element – stiffness matrix, load vector, temperature effects, Quadratic shape functions and problems. Analysis of Trusses: Plane Trusses and Space Truss elements and problems Analysis of Beams: Hermite shape functions – stiffness matrix – Load vector – Problems.

UNIT - III

2-D Problems: CST, LST, force terms, Stiffness matrix and load vectors, boundary conditions, Isoparametric elements – quadrilateral element, shape functions – Numerical Integration. Finite element modeling of Axi-symmetric solids subjected to Axi-symmetric loading with triangular elements. 3-D Problems: Tetrahedran element – Jacobian matrix – Stiffness matrix.

UNIT - VI

Scalar Field Problems: 1-D Heat conduction-Slabs – fins - 2-D heat conduction problems – Introduction to Torsional problems.

UNIT - V

Dynamic considerations, Dynamic equations – consistent mass matrix – Eigen Values, Eigen vector, natural frequencies – mode shapes – modal analysis.

REFERENCES:

  • 1. Finite Element Methods: Basic Concepts and applications, Alavala, PHI.
  • 2. Finite Element Method – Zincowitz / Mc Graw Hill
  • 3. The Finite Element Methods in Engineering / SS Rao / Pergamon.
  • 4. Introduction to Finite Elements in Engineering, Chandrupatla, Ashok and Belegundu, Prentice – Hall
  • 5. Introduction to Fininte element analysis- S. Md. Jalaludeen, Anuradha Publications, print- 2012 th
  • 6. A First Course in the Finite Element Method/Daryl L Logan/Cengage Learning/5 Edition
  • 7. Finite Element Method – Krishna Murthy / TMH
  • 8. Finite Element Analysis – Bathe / PHI M. Tech – I Year – II Sem. (Production Engg.) COMPUTER AIDED ENGINEERING LAB Features and selection of CNC turning and milling centres. Practice in part programming and operation of CNC turning machines, subroutine techniques and use of cycles. Practice in part programming and operating a machining centre, tool planning and selection of sequences of operations, tool setting on machine, practice in APT based NC programming. Geometric Modelling of 2D & 3D objects by using any CAD packages. Analysis of Objects by using any Analysis packages. CAD Package References: AUTO CAD PROEE CATIA V5 UNIGRAPHICS IRON CAD ANALYSIS Package References: ANSYS The students will be given training on the use and application of the following software to manufacturing problems;
  • 1) Auto MOD Software
  • 2) PROMOD
  • 3) SLAM – II
  • 4) CAFIMS
  • 5) Flexsim They also learn how to write sub routines in C-language and interlinking with the above packages. Problems for modeling and simulation experiments:
  • 1) AGV planning
  • 2) ASRS simulation and performance evaluation
  • 3) Machines, AGVs and AS/RS integrated problems
  • 4) JIT system
  • 5) Kanban flow
  • 6) Material handling systems
  • 7) M.R.P. Problems
  • 8) Shop floor scheduling etc.

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