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Journal ArticleDOI

Non-hierarchic system decomposition in structural optimization

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TLDR
A general decomposition approach for multidisciplinary optimization that is applicable for non-hierarchic systems in which a distinct system hierarchy is difficult to identify is developed.
Abstract
Decomposition methods provide a systematic approach for decoupling large engineering systems into smaller, coupled subsystems identified by disciplines or by engineering tasks. The paper develops a general decomposition approach for multidisciplinary optimization that is applicable for non-hierarchic systems in which a distinct system hierarchy is difficult to identify. The approach is implemented in a structural synthesis problem for verification purposes. The optimal design of a ten-bar truss for minimum weight subject to displacement and stress constraints is considered. Subsystems are defined in terms of sizing and space variables. The approach allows for implementation of specialized methods for analysis in each subsystem and the ability to incorporate human intervention and decision making. Results demonstrate that the Concurrent Subspace Optimization approach is a versatile method that potentially offers exceptional computational as well as data management advantages.

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Citations
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Journal ArticleDOI

Multidisciplinary Aerospace Design Optimization: Survey of Recent Developments

TL;DR: A survey of recent publications in the field of aerospace where interest in MDO has been particularly intense is presented, focused on the interaction of the structures discipline with other disciplines.
Journal ArticleDOI

Multidisciplinary design optimization: A survey of architectures

TL;DR: This paper provides a survey of all the architectures that have been presented in the literature so far, using a unified description that includes optimization problem statements, diagrams, and detailed algorithms.
Journal ArticleDOI

Extensions to the design structure matrix for the description of multidisciplinary design, analysis, and optimization processes

TL;DR: The extended design structure matrix (XDSM) is presented, a new diagram for visualizing MDO processes based on extending the standard design structure Matrix to simultaneously show data dependency and process flow on a single diagram.
Journal ArticleDOI

Efficient Uncertainty Analysis Methods for Multidisciplinary Robust Design

TL;DR: In this article, a multidisciplinary robust design procedure that utilizes efficient methods for uncertainty analysis is developed, and the proposed techniques bring the features of a multi-disciplinary design optimization framework into consideration.
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Collaborative, Sequential, and Isolated Decisions in Design

TL;DR: This paper presents mathematical constructs, based on game theoretic principles, to model degrees of collaboration characterized by approximate cooperation, sequential decision making and isolation in the CE environment.
References
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Book

Numerical Optimization Techniques for Engineering Design: With Applications

TL;DR: This book contains the edited version of lectures and selected papers presented at the NATO ADVANCED STUDY INSTITUTE on computer aided optimal design: Structural and Mechanical Systems, held in Tr6ia, Portugal, 29th June to 11th July 1986.
Journal ArticleDOI

Sensitivity of complex, internally coupled systems

TL;DR: In this paper, a method for computing sensitivity derivatives with respect to independent variables for complex, internally coupled systems, while avoiding the cost and inaccuracy of finite differencing performed on the entire system analysis, is presented.

Optimization by decomposition: A step from hierarchic to non-hierarchic systems

TL;DR: A new, non-hierarchic decomposition is formulated for system optimization that uses system analysis, system sensitivity analysis, temporary decoupled optimizations performed in the design subspaces corresponding to the disciplines and subsystems, and a coordination optimization concerned with the redistribution of responsibility for the constraint satisfaction and design trades.

Approximation concepts for efficient structural synthesis

TL;DR: The contention that the introduction of approximation concepts will lead to the emergence of a new generation of practical and efficient, large scale, structural synthesis capabilities in which finite element analysis methods and mathematical programming algorithms will play a central role is supported.
Journal ArticleDOI

Sensitivity of Optimum Solutions of Problem Parameters

TL;DR: In this article, the authors derived the sensitivity equations that yield the sensitivity derivatives directly, which avoids the costly and inaccurate "perturb-and-reoptimize" approach, and examined the solvability of the equations.
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