Chapter 10 – Isoparametric Elements - Memphis

Chapter 10 Isoparametric ElementsLearning Objectives To formulate the Isoparametric formulation of thebar element stiffness matrix To present the Isoparametric formulation of theplane four-noded quadrilateral (Q4) elementstiffness matrix To describe two methods for numericalintegration Newton-Cotes and GaussianQuadrature used for evaluation of definiteintegrals To solve an explicit example showing theevaluation of the stiffness matrix for the planequadrilateral element by the four-point Gaussianquadrature ruleChapter 10 Isoparametric ElementsLearning Objectives To illustrate by example how to evaluate thestresses at a given point in a plane quadrilateralelement using Gaussian quadrature To evaluate the stiffness matrix of the three-nodedbar using Gaussian quadrature and compare theresult to that found by explicit evaluation of thestiffness matrix for the bar To describe some higher-order shape functions forthe three-noded linear strain bar, the improvedbilinear quadratic (Q6), the eight- and nine-nodedquadratic quadrilateral (Q8 and Q9)

• To evaluate the stiffness matrix of the three-noded bar using Gaussian quadrature and compare the result to that found by explicit evaluation of the stiffness matrix for the bar • To describe some higher-order shape functions for the three-noded linear strain bar, the improved bilinear quadratic (Q6), the eight-and nine-noded

Loading..

Tags:

  Matrix, Stiffness, The stiffness matrix

Information

Related search queries