Reliability based design optimization of cantilever beams under fatigue constraint

Peyman Honarmandi, Jean W. Zu, Kamran Behdinan

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

This paper presents a new optimization methodology for reliability design of a prismatic cantilever beam with a point load applied at the tip. In this methodology, the constraints consist of probability failures as well as fatigue failure criteria. The first-order second-moment and first-order reliability methods are adopted to assess the probability failure based on the concept of reliability indices. The corresponding fatigue criterion is defined as the crack initiation phase in both stress and strain models respectively. The elements required for the probabilistic fatigue life calculations are then discussed. In this optimization model, the objective function assumes to be the total beam weight as the quantity of interest However, all geometries, applied loads, and material properties are considered as random variables. The sequential quadratic optimization technique is implemented and a code is developed to solve the nonlinear optimization problem. Results show that using the proposed optimization methodology significantly improves the accuracy of calculation in comparison with using the conventional deterministic analysis. We also conclude that the strain-based fatigue criterion is more realistic than the traditional stress-based analysis. Finally, the Monte Carlo simulation is conducted to validate the results in each case.

Original languageEnglish
Title of host publicationCollection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Subtitle of host publication14th AIAA/ASME/AHS Adaptive Structures Conference, 8th AIAA Non-deterministic App
Pages4184-4196
Number of pages13
StatePublished - 2006
Event47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Newport, RI, United States
Duration: 1 May 20064 May 2006

Publication series

NameCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume6
ISSN (Print)0273-4508

Conference

Conference47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Country/TerritoryUnited States
CityNewport, RI
Period1/05/064/05/06

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