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Structural shape optimization - A survey
26th Structures, Structural Dynamics, and Materials Conference, 1985This paper is a survey of structural shape optimization with an emphasis on techniques dealing with shape optimization of the boundaries of two- and three-dimensional bodies. Attention is focused on the special problems of structural shape optimization which are due to a finite element model which must change during the optimization processes.
Haftka, Raphael T., Grandhi, Ramana V.
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Risk Averse Shape Optimization
SIAM Journal on Control and Optimization, 2011Risk averse optimization has attracted much attention in finite dimensional stochastic programming. In this paper, we propose a risk averse approach in the infinite dimensional context of shape optimization. We consider elastic materials under stochastic loading.
Sergio Conti +4 more
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Shape optimization of automotive body frame using an improved genetic algorithm optimizer
Advances in Engineering Software, 2018At conceptual design stage, the cross-sectional shape design of automotive body-in-white (BIW) frame is a critical and intractable technique. This paper presents shape optimization using an improved genetic algorithm (GA) optimizer to promote the ...
Huan Qin +4 more
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Shape Optimization And Optimal Design
2017This volume presents developments and advances in modelling passive and active control systems governed by partial differential equations. It emphasizes shape analysis, optimal shape design, controllability, nonlinear boundary control, and stabilization.
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On Shape Optimization with Stochastic Loadings
2011This article is concerned with different approaches to elastic shape optimization under stochastic loading. The underlying stochastic optimization strategy builds upon the methodology of two-stage stochastic programming. In fact, in the case of linear elasticity and quadratic objective functionals our strategy leads to a computational cost which scales
Atwal, Pradeep +5 more
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Deep neural operators as accurate surrogates for shape optimization
Engineering applications of artificial intelligenceK. Shukla +8 more
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An improved marine predators algorithm for shape optimization of developable Ball surfaces
Engineering Applications of Artificial Intelligence, 2021Gang Hu, Guo Wei, Ching-Ter Chang
exaly
Optimization in the Space of Smooth Shapes
2017The theory of shape optimization problems constrained by partial differential equations is connected with the differential-geometric structure of the space of smooth shapes.
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