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Structural Optimization with Nonlinear CAE Constraints

30 Chapters
View Course Samples Online
01
Course overview
structural optimization under nonlinear CAE constraints, industrial motivation, and the optimization–simulation workflow.
structuraloptimization
02
Nonlinear finite element analysis essentials for optimization
geometric, material, and contact nonlinearities, convergence, and limit states.
Nonlinearanalysis
03
Design variables, objective functions, and constraint formulation for nonlinear structural optimization problems.
Design variables, objective functions, and constraint formulation for nonlinear structural optimization problems.
variablesobjective
04
Sensitivity analysis in nonlinear CAE
direct differentiation, adjoint methods, and finite-difference verification.
Sensitivityanalysis
05
Gradient-based optimizers for nonlinear constraints
SQP, MMA, and interior-point methods with CAE-in-the-loop.
Gradient-basedoptimizers
06
Gradient-free and surrogate-assisted optimization for noisy or discontinuous nonlinear responses.
Gradient-free and surrogate-assisted optimization for noisy or discontinuous nonlinear responses.
Gradient-freesurrogate-assisted
07
Coupling optimization drivers with nonlinear solvers
scripting, APIs, and automated CAE job submission.
Couplingoptimization
08
Topology optimization with nonlinear constraints
density-based methods, filtering, and manufacturability.
Topologyoptimization
09
Shape and sizing optimization under nonlinear CAE constraints
parameterization, mesh morphing, and design velocity fields.
optimizationnonlinear
10
Handling contact and large deformation constraints in structural optimization
stabilization and constraint aggregation.
Handlingdeformation
11
Material nonlinearity in optimization
plasticity, hyperelasticity, and damage constraints.
Materialnonlinearity
12
Buckling and post-buckling constrained optimization
eigenvalue-based and nonlinear buckling limit state constraints.
Bucklingpost-buckling
13
Crashworthiness and impact optimization
nonlinear explicit CAE constraints, mass, and intrusion limits.
Crashworthinessoptimization
14
Fatigue and durability constraints in nonlinear CAE-based optimization
stress-life, strain-life, and critical plane approaches.
durabilityconstraints
15
Multi-objective optimization with nonlinear CAE constraints
Pareto fronts, weighted sums, and trade-off studies.
Multi-objectiveoptimization
16
Robust and reliability-based design optimization under nonlinear CAE constraints
uncertainty quantification and RBDO.
reliability-basedoptimization
17
Surrogate modeling for expensive nonlinear CAE simulations
Kriging, RBF, polynomial response surfaces, and adaptive sampling.
Surrogatemodeling
18
Machine learning and AI-assisted structural optimization with nonlinear CAE constraints
neural surrogates and generative design.
AI-assistedstructural
19
Multiscale and multi-physics optimization with nonlinear CAE constraints
thermal-structural, fluid-structure, and piezoelectric coupling.
Multiscalemulti-physics
20
Optimization under transient and dynamic nonlinear CAE constraints
time-dependent responses and modal constraints.
Optimizationtransient
21
Constraint handling and aggregation techniques for many nonlinear constraints
Kreisselmeier–Steinhauser, p-norm, and adaptive schemes.
Constrainthandling
22
Convergence, robustness, and failure recovery in nonlinear CAE-driven optimization loops.
Convergence, robustness, and failure recovery in nonlinear CAE-driven optimization loops.
Convergencerobustness
23
Verification and validation of optimized designs
mesh convergence, nonlinear solution verification, and experimental correlation.
Verificationvalidation
24
Case study
lightweight automotive body structure optimization with nonlinear crash and stiffness constraints.
lightweightautomotive
25
Case study
aerospace component optimization with nonlinear buckling, thermal, and contact constraints.
aerospacecomponent
26
Case study
biomedical implant optimization with nonlinear material and contact CAE constraints.
biomedicaloptimization
27
Case study
civil and offshore structure optimization under nonlinear seismic and wave loading constraints.
offshorestructure
28
Software tools and platforms for nonlinear CAE-based optimization
commercial and open-source ecosystems.
Softwareplatforms
29
High-performance computing and cloud workflows for large-scale nonlinear CAE optimization.
High-performance computing and cloud workflows for large-scale nonlinear CAE optimization.
High-performancecomputing
30
Capstone project
end-to-end structural optimization with nonlinear CAE constraints, from problem definition to validated design.
Capstoneend-to-end