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JNTU 2007-2008 III YEAR II SEM. B. TECH. AE - FINITE ELEMENT AND MODELLING METHODS
Posted Date: 09 Dec 2007 Resource Type: Articles/Knowledge Sharing Category: Syllabus
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Posted By: Sri Member Level: Gold
Rating:  Points: 1
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JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY
HYDERABAD
III Year B. Tech. AE – II semester T P C
4+1* 0 4
FINITE ELEMENT AND MODELLING METHODS
UNIT – I
MODELS
Macro and Micro mechanical models and ‘Basis of The Finite Element-formulations for developing and specification structural models. Equilibrium and energy bases for designing such as stiffness, flexibility, Inertia, damping and stability characteristics. Degrees of freedom and their relevance’s to approximate methods of analysis
UNIT – II
GENERELIZED COORDINATES
Introduction to generalized coordinates and their classification based frames of reference (local/global), nature and utility. Field specific nature of such coordinates in time & space for representing both continuua and discontinua. Non dimensional coordinates, Area and Volume coordinates, utility of generalized coordinates in respresenting continuum and discrete systems.
UNIT – III
DISCRETIZATION
Role of interpolation (Hermitian and Langragian) functions in discretization – concepts of nodes and elements in discretizing 1 – D and 2 – D Solid fluid continuua. Examples of discretization of heat conduction, shear, axial, Torsional and Bending deformations of constant and stepped – 1-D structures. Discretization of plane stress Plain strain and 3-D space frame problems
UNIT – IV
PROPERTIES AND DERIVATION
Derivation of element property matrices from first principles - energy basis for deriving stiffness, mass element properties – Assembly Technique - Concept of work done and derivation of kinematically consistent load vectors Direct deduction of matrix equation of equilibria using assembly technique for property derivation for 1-D structures and frames.
UNIT – V
APPROXIMATIONS AND ERROR CONTROL
Nodal parametric representation of discrete domains and fields. Isoparametric, Subparametric and Superparametric representation. Injection of singularity in field distortions and their utility in fracture mechanics.
UNIT – VI
MATHEMATICAL TOOLS AND FEM TOOLS
Importance of designing codes in discretizing. Illustration of 1-D and 2-D field problems. Basics of Numerical integration and Gauss quadrature. Techniques of data storage and solution of storage of large scale matrices. Concept of bandwidth and Front widths and their minimization. In core, and out of core solution of based on matrices. Frontal techniques.
UNIT – VII
CONCEPTS OF SYMMETRY
Symmetries in 1-D, 2-D Structures including Axisymmetry. Symmetry Operations and Symmetry boundary conditions for fractional models in Analysis
UNIT – VIII
MESH GENERATION TECHNIQUES,
Using Commercial software’s such as ANSYS, NISA, NASTRAN, ASKA, CAEFEM etc.
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