最新Abaqus6.13拓扑优化 atom-book超全学习资料-05
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L5.1
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Lesson content:
Problem Statement
Topology Optimization – Results
Topology Optimization – Results Examination Topology Optimization – Analysis Conclusions
Lesson 5: Nonlinear Geometric Effects in Topology Optimization
30 minutes
L5.2
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Problem Statement
Consider a beam structure, clamped at both ends, subjected to a prescribed displacement in its center region.
Topology optimization task:
Minimize the strain energy while using only 10% of the original mass.
Evaluated solver and material combinations:
Linear geometry and linear material Linear geometry and nonlinear material Nonlinear geometry and linear material Nonlinear geometry and nonlinear material
prescribed displacement
Prescribe displacement
c l a m p e
d
e n d
s y m m e t r y
Mechanical model Finite element model, exploiting symmetry
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Topology optimization - Evolving geometries
Linear geometry + Linear material Nonlinear geometry + Linear material
Linear geometry + Nonlinear material
Nonlinear geometry + Nonlinear material
L5.4
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Topology Optimization – Results (2/5)
Final configuration
What happened here?
What happened here?
Linear geometry + Linear material
Nonlinear geometry + Linear material
Linear geometry + Nonlinear material Nonlinear geometry + Nonlinear material
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Displacements - Final configuration
Linear geometry + Linear material
Nonlinear geometry + Linear material
Linear geometry + Nonlinear material Nonlinear geometry + Nonlinear material
L5.6
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Topology Optimization – Results (4/5)
Von Mises Stress - Final configuration
Linear geometry + Linear material
Nonlinear geometry + Linear material
Linear geometry + Nonlinear material Nonlinear geometry + Nonlinear material
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Following the “classic” first steps in examining FE simulation results, looking at displacements and von Mises stresses do not indicate that something could be wrong here!
A closer examination of the results reveals important differences!
L5.8
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Topology Optimization – Results Examination (1/7)
Optimization Step 0 - Principal stresses
Linear geometry Linear material
Nonlinear geometry Linear material
Linear geometry Nonlinear material Nonlinear geometry Nonlinear material