Shape optimisation of two-dimensional structures using isogeometric analysis

Ummidivarapu, Vinay K.; Voruganti, Hari K.

doi:10.1504/ijesms.2017.085080

Cited by 2 publications

(1 citation statement)

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“…The analysis model is used directly, where the coordinates of the surface nodes are the design parameters. Isogeometric parametrization (Ummidivarapu and Voruganti 2017;Ummidivarapu et al 2020) is a good alternative to the Vertex Morphing. Both methods have similarities, and the difference is typically in the number of design variables.…”

Section: Introductionmentioning

confidence: 99%

Relaxed gradient projection algorithm for constrained node-based shape optimization

Antonau¹,

Hojjat

Bletzinger³

2021

Struct Multidisc Optim

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In node-based shape optimization, there are a vast amount of design parameters, and the objectives, as well as the physical constraints, are non-linear in state and design. Robust optimization algorithms are required. The methods of feasible directions are widely used in practical optimization problems and know to be quite robust. A subclass of these methods is the gradient projection method. It is an active-set method, it can be used with equality and non-equality constraints, and it has gained significant popularity for its intuitive implementation. One significant issue around efficiency is that the algorithm may suffer from zigzagging behavior while it follows non-linear design boundaries. In this work, we propose a modification to Rosen’s gradient projection algorithm. It includes the efficient techniques to damp the zigzagging behavior of the original algorithm while following the non-linear design boundaries, thus improving the performance of the method.

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Section: Introductionmentioning

confidence: 99%