Analytical benchmark example for risk allocation in structural optimization

Yoshiro Suzuki

doi:10.1007/s00158-014-1051-9

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Analytical benchmark example for risk allocation in structural optimization

2014-03-19

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Yoshiro Suzuki *

Raphael T. Haftka

DOI：10.1007/s00158-014-1051-9

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Abstract

En 中文

Recently, Rozvany and Maute presented a simple problem of topology optimization under uncertainty with a single load condition that can be solved without Monte Carlo simulation. This note extends this idea to a two-bar truss under two load conditions for the purpose of illustrating differences between deterministic designs and reliability-based ones in terms of risk allocation. For this example, for the same probability of failure, a deterministic design based on the same safety factor for both loads can be substantially heavier than the reliability-based design. The difference in weight is due to very different risk allocation between the two failure modes.

Keywords:

Topology optimization

Deterministic design

Reliability-based design

Risk allocation

Compliance constraint