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Hdt physics extension dll 11.16
Hdt physics extension dll 11.16













The author and publisher of this book have used their besl efforts in preparing this hook. No part of this book may be reproduced in any form or by any means, without permission in writing from the publisher. Upper Saddle River, New Jersey 07458Īll rights reseMied. 18elfanti Creative Director: Carole Anson Art Director: kylU! Cante Art Editorc Greg O.lIes Cover Designer: Bmu &nselaar Manufacturing Manager: Trudy PisciOlli Manufacturing Buyer: LyndD Castillo Marketing Manager Holly Stark George Production SeMiicesiComposition: Prepart,lnc. Horton Acquisitions Editor Laura Fischer Editorial Assistant: Erin Katchmar Vice President and Director of Production and Manufacturing, ESM: David W Riccardi E~ecutive Managing Editor: Vince O'Brien Managing Editor, David A. Includes bibliographical references and index.

hdt physics extension dll 11.16

Prentice Hall, Upper Saddle River, New Jersey 07458Ĭhandl'llpalla,TIl'lIpathi R., Introouction to finite elements in engineering ITIl'lIpathi R. BELEGUNDU The Pennsylvania State University University Park, Pennsylvania Introduction to Finite Elements in Engineering T H I R D Introduction to Finite Elements in Engineering Temperature Rise Element Heat Source Inertia,Area Thickness FEMlD, TRUSS, TRUSSKY CST,QUAD AXISYMĮlement Cbancterisdcs Area, Temperature Rise Thickness, Temperature Rise Temperature Rise Area, Inertia, Distributed liJad Area, 3 of Boundary Conditions NL = Number of Applied Component Loads (along Degrees of Freedom) NMPC = Number of Multipoint Constraints NO '" Total Number of Degrees of Freedom Main Program Variables NN = Number of Nodes NE = Number of Elements NM = Number of Different Materials NDIM = Number ofCoordinales per Node (e.g.NDlM = Uor 2♽.or = 3for3.D): NEN = Number of Nodes per Element (e.g., NEN '" 3 for 3-noded trianguJar element, or = 4 for a 4-noded quadrilateral) NDN '" Number of Degrees of Freedom per Node (e.g., NDN '" 2 for a CiT element, or '" 6 for 3-D beam element) ND = Number of Degrees of Freedom along which Displacement is Specified'" No. (See Chapter 10.) (~) =ĭUMMY LINE - necessary No/eo' No Blank Lines must be present in the input file t'See below for desCription of element characteristics and material properties 2 20e6 (OJ 81 i 82 j B3 (Multipoint constraint: Bl*Qi+B2*Qj=B3) } -NMPC Lines of data, 5 entries tHEATlD and HEATID Programs need extra boundary data about flux and convection. 1 Line of data, 3 entries Coordinate#NDIH (*) PROBLEM DESCRIPTION NN NE NM NOIM NEN NON 4 Glohal stiffness matrix for entire structure: nīody force in element e distributed to the nodes of the element traction fOfce in element e distributed to the nodes of the element virtual displacement variable: counterpart of the real displacement u(x, y, z) vector of vinual displacements of the nodes in an element cOWlterpart of q shape functions in t1)( coordinates, material matrix, strain-displacement malril. NDN, I)-see next Table for explanation of NN and NDNĮlement stiffne~ matrix: strain energy in element, U, = !qTkq.NEN,l)-see next Table for explanation of NDNand NEN vector of displacements of ALL the nodes of an element, dimension (NN.Vector of displacements of the nodes (degrees of freedom or DOF) of an element, dimension (NDN Stress components u are normal stresses and T are engineering shear stresses

hdt physics extension dll 11.16

Strain eomponents t: are normal strains and}' are engineering shear strains z)Ĭomponents of traction force per unit area, at point (x, y,z) on the surface List of Key Symbols Used in the Text Symbolĭisplacements along coordinate directions at point (x, y, zjĬomponents of body force per unit volume, at point (x, y. Programs in QBASIC Programs in Fortran Language Programs in C Programs in Visual Basic Programs in Excel Visual Basic Programs in MATLAB Example Data Files (.inp extension)















Hdt physics extension dll 11.16