Optimization for minimum sensitivity to uncertain parameters | Zendy

Joselyn I. Pritchard | Zendy; H. M. Adelman | Zendy; Jaroslaw SobieszczanskiSobieski | Zendy

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Optimization for minimum sensitivity to uncertain parameters

Author(s) -

Joselyn I. Pritchard,

H. M. Adelman,

Jaroslaw SobieszczanskiSobieski

Publication year - 1996

Publication title -

aiaa journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.828

H-Index - 158

eISSN - 1081-0102

pISSN - 0001-1452

DOI - 10.2514/3.13259

Subject(s) - sensitivity (control systems) , minimum weight , parametric statistics , sequential quadratic programming , mathematical optimization , lagrange multiplier , quadratic programming , beam (structure) , mathematics , quadratic equation , optimal design , optimization problem , control theory (sociology) , computer science , engineering , structural engineering , control (management) , statistics , geometry , electronic engineering , artificial intelligence

A procedure to design a structure for minimum sensitivity to uncertainties in problem parameters is described. The approach is to directly minimize the sensitivity derivatives of the optimum design with respect to fixed design parameters using a nested optimization procedure. The procedure is demonstrated for the design of a bimetallic beam for minimum weight with insensitivity to uncertainties in structural properties. The beam is modeled with finite elements based on two-dimensional beam analysis. A sequential quadratic programming procedure used as the optimizer supplies the Lagrange multipliers that are used to calculate the optimum sensitivity derivatives. The procedure is validated by comparing the optimization results to parametric studies.

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