Geometrical Dimensionality Control in Optimization

A computer-based system for automatically determining an optimized design for manufacturing a real-world object, the computer-based system comprising:

• a computer-based processor;
• and
• computer-based memory coupled to the computer-based processor,
• wherein computer-based memory stores data that defines a finite element model representing a real-world object, the finite element comprising a plurality of elements, and
• wherein the computer-based memory stores computer-readable instructions that, when executed by the computer-based processor, cause the computer-based processor to:
• evaluate a distribution of a design variable throughout a vicinity of the finite element model, using singular value decomposition (SVD), to produce a singular value for the design variable in each respective element in the vicinity of the finite element model;
• define optimization constraints for the vicinity of the finite element model based on the singular values produced from the SVD;
• and
• optimize the finite element model with respect to the design variable by locally enforcing a geometry of the real-world object in the vicinity based on the defined optimization constraints.

A non-transitory computer readable medium having stored thereon computer-readable instructions that, when executed by a computer-based processor, causes the computer-based processor to:

• evaluate a distribution of a design variable throughout a vicinity of the finite element model, using singular value decomposition (SVD), to produce a singular value for the design variable in each respective element in the vicinity of the finite element model;
• define optimization constraints for the vicinity of the finite element model based on the singular values produced from the SVD;
• and
• optimize the finite element model with respect to the design variable by locally enforcing a geometry of the real-world object in the vicinity based on the defined optimization constraints.