Presentation
Spin-It Faster: Quadrics Solve All Topology Optimization Problems That Depend Only on Mass Moments
DescriptionWe show that a class of topology optimization problems used to design statically or rotationally balanced rigid bodies admits optimal solutions with material interfaces formed by quadrics, such as ellipsoids or hyperboloids. This reduces the number of unknowns from infinite to less than 10 and yields a provably equivalent problem.

Event Type
Technical Paper
TimeTuesday, 30 July 20242:00pm - 2:10pm MDT
LocationMile High 2A
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Sunday, 28 July 20246:00pm - 8:45pm MDTBluebird Ballroom
Tuesday, 30 July 20242:00pm - 3:30pm MDTMile High 2A
Research & Education
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Geometry
Modeling
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