Topology optimization

Topology optimization

Topology optimization can be defined as:

A mathematical process whereby the location and number of voids within a structure is defined given a prescribed set of limitations and a clear objective. [ [http://www.lulu.com/content/794546] Investigation into Structural Topology Optimization Problem Formulations, William Renold]

See Optimization (mathematics) for a definition of optimization

Distinction

This is distinct from shape optimization methods since typically shape optimization methods work in a subset of allowable shapes which have fixed topological properties, such as having a fixed number of holes in them. Topogical optimization techniques can then help work around the limitations of pure shape optimization.

There are various methods used to perform Topology Optimization, Solid Isotropic Material with Penalization (SIMP) and Evolutionary Structural Optimization (ESO) being two.

References

* [http://www.lulu.com/content/794546] Investigation into Structural Topology Optimization Problem Formulations, William Renold


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