Constrained isogeometric design optimization of lattice structures on curved surfaces: computation of design velocity field

Constrained isogeometric design optimization of lattice structures on curved surfaces:... A constrained isogeometric design optimization method is presented for lattice structures located on a specified curved surface. Lattices on curved surfaces have been utilized in various engineering applications like medical stents, non-pneumatic wheel frames, and so on. When it comes to design problems, however, the lattice needs to be located on a specified surface for its manufacturability as well as performance, which results in nonlinear constraints in configuration design. We define lattice structures and their design variables on planar rectangular surfaces, and utilize the concept of free-form deformation (FFD) and the global curve interpolation to obtain the analytical expressions for the control net of lattice structure on curved surfaces. The material derivative of the analytical expressions eventually leads to precise design velocity field. The analytical configuration design sensitivity for a spatial Timoshenko beam is derived. In numerical examples, we verify the derived configuration design sensitivity and the developed computation scheme of design velocity field by comparison with finite differences, and several configuration design optimization examples are demonstrated. Keywords Configuration design optimization · Isogeometric analysis · Lattice structure · Timoshenko beam · Design velocity field · Global curve interpolation 1 Introduction For a given material point x and design u, http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Structural and Multidisciplinary Optimization Springer Journals

Constrained isogeometric design optimization of lattice structures on curved surfaces: computation of design velocity field

Loading next page...
 
/lp/springer_journal/constrained-isogeometric-design-optimization-of-lattice-structures-on-yC6YN4pwL0
Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Engineering; Theoretical and Applied Mechanics; Computational Mathematics and Numerical Analysis; Engineering Design
ISSN
1615-147X
eISSN
1615-1488
D.O.I.
10.1007/s00158-018-2000-9
Publisher site
See Article on Publisher Site

Abstract

A constrained isogeometric design optimization method is presented for lattice structures located on a specified curved surface. Lattices on curved surfaces have been utilized in various engineering applications like medical stents, non-pneumatic wheel frames, and so on. When it comes to design problems, however, the lattice needs to be located on a specified surface for its manufacturability as well as performance, which results in nonlinear constraints in configuration design. We define lattice structures and their design variables on planar rectangular surfaces, and utilize the concept of free-form deformation (FFD) and the global curve interpolation to obtain the analytical expressions for the control net of lattice structure on curved surfaces. The material derivative of the analytical expressions eventually leads to precise design velocity field. The analytical configuration design sensitivity for a spatial Timoshenko beam is derived. In numerical examples, we verify the derived configuration design sensitivity and the developed computation scheme of design velocity field by comparison with finite differences, and several configuration design optimization examples are demonstrated. Keywords Configuration design optimization · Isogeometric analysis · Lattice structure · Timoshenko beam · Design velocity field · Global curve interpolation 1 Introduction For a given material point x and design u,

Journal

Structural and Multidisciplinary OptimizationSpringer Journals

Published: May 28, 2018

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off