文档介绍：Draft
DRAFT
Lecture Notes in:
FINITE ELEMENT II
Solid Mechanics
CVEN 6525
c VICTOR E. SAOUMA,
SPRING 2001
Dept. of Civil Environmental and Architectural Engineering
University of Colorado, Boulder, CO 80309-0428
Draft0–2
Victor Saouma Finite Elements II; Solid Mechanics
Draft
Contents
1 PREREQUISITE 1–1
................................1–1
..............................1–1
StrainDisplacementRelations........................1–1
AxialMembers............................1–1
FlexuralMembers..........................1–4
VirtualDisplacementandStrains.......................1–5
ElementStiffnessMatrixFormulation....................1–5
StressRecovery...........................1–6
................................1–6
GlobalStiffnessMatrix............................1–6
StructuralStiffnessMatrix.....................1–7
AugmentedStiffnessMatrix....................1–7
Logistics.....................................1–8
Boundary Conditions, [ID]Matrix.................1–8
LM Vector..............................1–10
AssemblyofGlobalStiffnessMatrix................1–10
E1-1AssemblyoftheGlobalStiffnessMatrix...................1–10
Algorithm..............................1–12
E1-2DirectStiffnessAnalysisofaTruss......................1–13
E1-3AnalysisofaFramewithMATLAB.....................1–18
E1-4AnalysisofasimpleBeamwithInitialDisplacements...........1–20
2 INTRODUCTION 2–1
.......................................2–1
Elliptic, Parabolic and Hyperbolic Equations . . . . ................2–1
E 2-1 Seepage Problem;(Bathe 1996) . .......................2–3
E 2-2 Diffusion Problem; (Bathe 1996) .......................2–5
E 2-3 Wave Equation, (Bathe 1996) . . .......................2–6
-SystemMathematicalmodels..