FINITE ELEMENT ANALYSIS

FINITE ELEMENT ANALYSISPRESENTED BYM.SARAVANA KUMARAP/MECHINTRODUCTIONHistorical Background Mathematical Modelling of field problems in engineering Governing Equations Discrete and Continuous models Boundary, Initial and Eigen Value problems Weighted Residual Methods Variational Formulation of Boundary Value Problems Ritz Technique Basic Concepts of the Finite Element Method.HISTORICAL BACKGROUNDHISTORICAL BACKGROUND Finite Element Method is a numerical method employs to find an approximate solution of analytical description (Mathematical Model) of an engineering problems.

EXAMPLE APPROXIMATION The circumference of a circle (S) is approximated by the perimeters of inscribed and circumscribed n-sided polygons as shown in Figure Prove the following:

Where the S (l) and S(u) denote the perimeters of the inscribed and circumscribed polygonsEXAMPLE APPROXIMATION

EXAMPLE APPROXIMATION