1. Chance constrained optimal beam design: convex reformulation and probabilistic robust design
- Creator:
- Kůdela, Jakub and Popela, Pavel
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- optimal design, stochastic programming, chance constrained optimization, probabilistic robust design, and geometric programming
- Language:
- English
- Description:
- In this paper, we are concerned with a civil engineering application of optimization, namely the optimal design of a loaded beam. The developed optimization model includes ODE-type constraints and chance constraints. We use the finite element method (FEM) for the approximation of the ODE constraints. We derive a convex reformulation that transforms the problem into a linear one and find its analytic solution. Afterwards, we impose chance constraints on the stress and the deflection of the beam. These chance constraints are handled by a sampling method (Probabilistic Robust Design).
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public