Stochastic Structural Analysis for Context-Aware Design and Fabrication

摘要

In this paper we propose failure probabilities as a semantically andrnmechanically meaningful measure of object fragility. We present arnstochastic finite element method which exploits fast rigid body simulationrnand reduced-space approaches to compute spatially varyingrnfailure probabilities. We use an explicit rigid body simulation to emulaternthe real-world loading conditions an object might experience,rnincluding persistent and transient frictional contact, while allowingrnus to combine several such scenarios together. Thus, our estimatesrnbetter reflect real-world failure modes than previous methods. Wernvalidate our results using a series of real-world tests. Finally, wernshow how to embed failure probabilities into a stress constrainedrntopology optimization which we use to design objects such as weightrnbearing brackets and robust 3D printable objects.