A level set method for shape and topology optimization of large-displacement compliant mechanisms

A parameterization level set method is presented for structural shape and topology optimization of compliant mechanisms involving large displacements. A level set model is established mathematically as the Hamilton–Jacobi equation to capture the motion of the free boundary of a continuum structure....

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal for numerical methods in engineering Jg. 76; H. 6; S. 862 - 892
Hauptverfasser: Luo, Zhen, Tong, Liyong
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 05.11.2008
Wiley
Schlagworte:
compliant mechanisms
Computational techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
geometrical non-linearity
level set methods
Mathematical methods in physics
Physics
radial basis functions
shape and topology optimization
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Compliant mechanism
compliant mechanisms
Geometrical shape
Free boundary
Hole
Sensitivity analysis
geometrical non-linearity
Contour line
radial basis functions
Large displacement
Topology
Modeling
Convex programming
Optimization
Dimensioning
Radial basis function
Boundary representation
Hamilton Jacobi equation
Implicit function theorem
Non linear effect
shape and topology optimization
Structural analysis
level set methods
ISSN:0029-5981, 1097-0207
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A parameterization level set method is presented for structural shape and topology optimization of compliant mechanisms involving large displacements. A level set model is established mathematically as the Hamilton–Jacobi equation to capture the motion of the free boundary of a continuum structure. The structural design boundary is thus described implicitly as the zero level set of a level set scalar function of higher dimension. The radial basis function with compact support is then applied to interpolate the level set function, leading to a relaxation and separation of the temporal and spatial discretizations related to the original partial differential equation. In doing so, the more difficult shape and topology optimization problem is now fully parameterized into a relatively easier size optimization of generalized expansion coefficients. As a result, the optimization is changed into a numerical process of implementing a series of motions of the implicit level set function via an existing efficient convex programming method. With the concept of the shape derivative, the geometrical non‐linearity is included in the rigorous design sensitivity analysis to appropriately capture the large displacements of compliant mechanisms. Several numerical benchmark examples illustrate the effectiveness of the present level set method, in particular, its capability of generating new holes inside the material domain. The proposed method not only retains the favorable features of the implicit free boundary representation but also overcomes several unfavorable numerical considerations relevant to the explicit scheme, the reinitialization procedure, and the velocity extension algorithm in the conventional level set method. Copyright © 2008 John Wiley & Sons, Ltd.
Bibliographie:istex:FFB8746830B731126E293A58084199797C9838AC
ArticleID:NME2352
ark:/67375/WNG-7V37GN0K-N
Australian Research Council - No. ARC-DP0666683
Professor.
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.2352