Can I read Isogeometric Structural Shape Optimization Using a Fictitious Energy Regularization on EtoBox?

Isogeometric Structural Shape Optimization Using a Fictitious Energy Regularization by Jan Friederich; Michael Scherer; Paul Steinmann is a Engineering article available to read on EtoBox.

What is Isogeometric Structural Shape Optimization Using a Fictitious Energy Regularization about?

## Abstract In isogeometric analysis, NURBS basis functions are used as shape functions in an isoparametric finite‐element‐type discretization. Among other advantageous features, this approach is able to provide exact and smooth representations of a broad class of computational domains with curved boundaries. Therefore, this discretization method seems to be especially convenient for computational shape optimization, where a smooth and CAD‐like parametrization of the optimal geometry is desired. Choosing boundary control point coordinates of an isogeometric discretization as design variables, an additional design model can be avoided. However, for a higher number of design variables, typical drawbacks like oscillating boundaries as known from early node‐based shape optimization methods appear. To overcome this problem, we propose to use a fictitious energy regularization: the strain energy of a fictitious deformation, which maps the initial to the optimized domain, is employed as a regularizing term in the optimization problem. Moreover, this deformation is used for efficiently moving the dependent nodes within the domain in each step of the optimization process. (© 2011 Wiley‐VCH

Who reads Isogeometric Structural Shape Optimization Using a Fictitious Energy Regularization?

Author

Jan Friederich; Michael Scherer; Paul Steinmann

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); Wiley (ISSN 1617-7061)

Published

2011

Language

EN

Field

Engineering (Physical Sciences)