JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

UNIT - I

Basic Concepts, applications of FEM, Basic equations in FEM, Methods in FEM. One Dimensional problems- Stiffness equations for a axial bar element in local co-ordinates using potential energy approach and virtual energy principle – properties of stiffness matrix. Familiarization of ANSYS software for solving Finite element problems. Finite element analysis of uniform, stepped and tapered bars subjected to mechanical and thermal loads-Assembly of global stiffness matrix and load vector-Quadratic shape functions-Problems.

UNIT - II

Stiffness equations for a truss bar element oriented in 2D plane-Finite element analysis of trusses-Plane truss and space truss elements-methods of assembly-problems Analysis of beams: Hermite shape functions-Element stiffness matrix- Load vector-Problems.

UNIT - III

2-D Problems: CST element-Stiffness matrix and load vector – Isoparametric element representation – Shape functions – Convergence requirements-Solving of problems

UNIT - IV

Two dimensional four noded isoperimetric elements - numerical integration – finite element modeling of axisymmetric solids subjected to Axisymmetric loading with triangular elements. 3-D problems: Tetrahedron element. Shape functions.

UNIT - V

Heat Transfer:-1-D Heat conduction –– Composite slabs – 1D fin problems -2D Heat conduction – Analysis of thin plates. Dynamic Analysis: Dynamic equations-Lumped and consistent mass matrices-Eigen values and Eigen vectors – mode shapes – modal analysis for stepped bar and beams.

TEXT BOOK:

• 1. The Finite Element Methods in Engineering - SS Rao – Elsevier – 4th Edition
• 2. Introduction to Finite Elements in Engineering-Tirupathi K. Chandragupta and Ashok D. Belagundu.

REFERENCES:

• 1. An introduction to Finite Element Method - JN Reddy - Mc Graw Hill
• 2. The Finite Element Method in engineering science – O. C. Zienkowitz, Mc. Graw hill
• 3. Finite Element Methods/ Alavala/TMH
• 4. Concepts and applications of finite element analysis-Robert Cook -wiley R16 B.TECH MECHATRONICS.