Pre-bent shape design of full free-form curved beams using isogeometric method and semi-analytical sensitivity analysis

Seyed Farhad Hosseini, Behnam Moetakef-Imani, Saeid Hadidi-Moud, Behrooz Hassani

Research output: Contribution to journalArticle

11 Citations (Scopus)
7 Downloads (Pure)

Abstract

In this paper, isogeometric analysis (IGA) is employed to solve the problem of a curved beam with free-form geometry, arbitrary loading, and variable flexural/axial rigidity. The main objective of the study is to develop a unified approach for full free-from curved beam problems that can be integrated with a newly developed semi-analytical sensitivity analysis to solve pre-bent shape design problems. The required set of B-spline control points are calculated using an interpolation technique based on chord-length parameterization. The one-to-one correspondence is considered for parameters of the geometry, loading, and rigidity which is proven to have extreme importance. An IGA curved beam element is suggested based on the Euler-Bernoulli beam theory for the general curvilinear coordinate. The validity and effectiveness of the proposed formulation is confirmed by application to a variety of examples. Moreover, three shape optimization examples are taken into consideration. In the first two examples, the pre-bent shapes of spiral and Tschinhausen curved beams with free-form geometry under distributed loading are obtained. In the third example, the pre-bending problem of wind turbine blades is addressed as an industrial example.

Original languageEnglish
Pages (from-to)2621–2633
Number of pages13
JournalStructural and Multidisciplinary Optimization
Volume58
Issue number6
Early online date30 Jun 2018
DOIs
Publication statusPublished - Dec 2018

Keywords

  • Free-form curved beams
  • Isogeometric analysis
  • Pre-bending, Parameterization
  • Semi-analytical sensitivity analysis

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization

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