Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models

This paper describes a non-probabilistic reliability-based topology optimization method for the design of continuum structures undergoing large deformations. The variation of the structural system is treated with the multi-ellipsoid convex model, which is a realistic description of the parameters be...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	Computer methods in applied mechanics and engineering Ročník 198; číslo 41; s. 3228 - 3238
Hlavní autori:	Kang, Zhan, Luo, Yangjun
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Kidlington Elsevier B.V 01.09.2009 Elsevier
Predmet:	Computational techniques Convex model Exact sciences and technology Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Geometrical nonlinearity Mathematical methods in physics Non-probabilistic reliability Physics Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics Topology optimization Uncertainty Topology optimization Uncertainty Convex model Geometrical nonlinearity Non-probabilistic reliability High strain Displacement(deformation) Modeling Optimal design Uncertain system Gradient method Geometrical shape Sensitivity analysis Probabilistic approach Rupture Minimization Adjoint method Large displacement Topology Constrained optimization Stochastic programming Design process Structure modification Reliability Ellipsoid Convex analysis Structural analysis
ISSN:	0045-7825, 1879-2138
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Popis
Shrnutí:	This paper describes a non-probabilistic reliability-based topology optimization method for the design of continuum structures undergoing large deformations. The variation of the structural system is treated with the multi-ellipsoid convex model, which is a realistic description of the parameters being inherently uncertain-but-bounded or lacking sufficient probabilistic data. The formulation of the optimal design is established as a volume minimization problem with non-probabilistic reliability constraints on the geometrically nonlinear structural behaviour. In order to circumvent numerical difficulties in solving the nested double-loop optimization problem, a performance measure-based approach is employed to transform the constraint on the reliability index into one on the concerned performance. In conjunction with an efficient adjoint variable scheme for the sensitivity analysis of reliability constraints, the optimization problem is solved by gradient-based mathematical programming methods. Three numerical examples for the optimization design of planar structures are presented to illustrate the validity and applicability of the proposed method. The obtained optimal solutions show the importance of incorporating various uncertainties in the design problem. Moreover, it is also revealed that the geometrical nonlinearity needs to be accounted for to ensure satisfaction of the reliability constraints in the optimal design of structures with large deformation.
Bibliografia:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0045-7825 1879-2138
DOI:	10.1016/j.cma.2009.06.001