INTRODUCTION TO FINITE ELEMENTS ENGINEERING
CO? ROM Included
INTRODUCTION TO
FINITE ELEMENTS IN ENGINEERING
THIRD EDITION
Tirupathi R. Chandrupatla Ashok D. Belegundu
Programs Included in the CD-ROM
CH?1
CH?7
QUAD
QUADCG AXIQUAD
CH?l GAUSS caSOL SKYLINE
CH?8 BEAM FRAME2D FRAME3D
CH?J FEMlD
CH?9 TETRA3D HEXAFRQN
cn..
TRUSS2D TRUSSKY
CH?IO HEATlD HEAT2D TORSION
CH?5 CST
CH?ll INVITR JACOBI BEAMKM CSTKM GENEIGEN
cn..
AXISYM
CH?U MESHGEN PL0T20, BESTFIT BESTFITQ
CONTOURA
CONTOURB
CD-ROM Contents
Direetory
IQBASIC \FORTRAN
Ie
IVB IEXC'ELVB IMATLAB IEXAMPLES
Deseription
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)
List of Key Symbols Used in the Text
Symbol
u(.t,y,:) "" [u(x,y, z), v(x, y, l,),
w(x,y,Z)]T
r, [[,,f,,a
T"= [T"T,,1~P i == [f.,ey,i"}""Y,,,Yq]T u =- {u"u"U"1',,,1',.. T.t,]T
n
?
Q
k K
r
T'
""(x,y, ~)
?
N, D,and B
Description
displacements along coordinate directions at point (x, y, zj
components of body force per unit volume, at point (x, y. z) components of traction force per unit area, at point (x, y,z) on the surface strain eomponents;t: are normal strains and}' are engineering shear strains stress components; u are normal stresses and T are engineering shear stresses
Potential energy = U + W P, where U == strain energy, W P = work potential
vector of displacements of the nodes (degrees of freedom or DOF) of an element, dimension (NDN?NEN,l)---see next Table for explanation of NDNand NEN
vector of displacements of ALL the nodes of an element, dimension (NN?NDN, I)-see next Table for explanation of NN and NDN element stiffne~ matrix: strain energy in element, U, == !qTkq
I glohal stiffness matrix for entire structure: n = Q1 KQ _ Q IF
body 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. respectively. u = Nq, = Bq and (J' = DBq
structure ofInpnt Files'
TITLE (*)
PROBLEM DESCRIPTION (*) NN NE NM NOIM NEN NON (*)
422 2 3 2
NO Nl NMPC (*) 5 2 0
1 Line of data, 6 entries per 1ine --- 1 Line of data, 3 entries
Node. Coordinate'! Coordinate#NDIH (*)
4~,
g;
O~2 } ---NN Lines of data, (NlJIM+l)entries
o.) of Eleml Nodell NodelNEN Mat' Element Characteristicstt (*)
1
4
1
2
1
0.5
---HE Lines data.
2
3
4
2
2
O.S
O. (NEN+2+#ofChar.)entries
OO~~F' speCggified}DiSPlacement (*)
---NO Llnes of data, 2 entries
8
0
DOF' Load (*)
4 -7500 ) ---NL Lines of data, 2 entries
3 3000
MAn Mat.erial Propertiestt (*)
1
30e6
0.25 12e-6 } --!.NM Lines of data, (1+ , of prop.)entries
2 20e6 81 i 82
0.3 O. j B3 (Multipoint constraint: Bl*Qi+B2*Qj=B3) (OJ
}
---NMPC Lines of data, 5 entries
tHEATlD and HEATID Programs need extra boundary data about flux and convection. (See Chapter 10.) (~) = DUMMY 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
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?D.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. 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 = NN ~ NDN
..........
Element Cbancterisdcs
Mlterial PToperties
FEMlD, TRUSS, TRUSSKY CST,QUAD
AXISYM FRAME2D FRAME3D TETRA, HEXAFNT
HEATID BEAMKM
CSTKM
Area, Temperature Rise Thickness, Temperature Rise
Temperature Rise Area, Inertia, Distributed liJad Area, 3?ioertias, 2-Distr. Loads
Temperature Rise Element Heat Source
Inertia,Area Thickness
E E,II,a
E. ". Ct E E
E,II,a Thermal Conductivity, k
E,p E,I',a,p
1 I
Introduction to Finite Elements in Engineering
Introduction to Finite Elements in Engineering
T H I R D EDITION
TIRUPATHI R. CHANDRUPATLA
Rowan University Glassboro, New Jersey
ASHOK D. BELEGUNDU
The Pennsylvania State University University Park, Pennsylvania
Prentice Hall, Upper Saddle River, New Jersey 07458
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- finite element method massachusetts institute of technology
- introduction to the finite element method university of california
- math652 finite element methods colorado state university
- an introduction to the finite element method
- finite element method indian institute of space science and technology
- introduction to finite element methods quickfem
- introduction to finite element method polish academy of sciences
- chap 4 finite element analysis of beams and frames university of florida
- introduction to finite element analysis fea or finite element method
- chapter 6 finite element methods for 1d boundary value problems
Related searches
- introduction to financial management pdf
- introduction to finance
- introduction to philosophy textbook
- introduction to philosophy pdf download
- introduction to philosophy ebook
- introduction to marketing student notes
- introduction to marketing notes
- introduction to information systems pdf
- introduction to business finance pdf
- introduction to finance 15th edition
- introduction to finance books
- introduction to finance online course