Pre-bent shape design of full free-form curved beams using isogeometric method and semi-analytical sensitivity analysis
| Autor: | Behrooz Hassani, Saeid Hadidi-Moud, Behnam Moetakef-Imani, Seyed Farhad Hosseini |
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| Rok vydání: | 2018 |
| Předmět: |
Timoshenko beam theory
Curvilinear coordinates Control and Optimization business.industry Computer science Bent molecular geometry Rigidity (psychology) 02 engineering and technology Structural engineering Isogeometric analysis 01 natural sciences Computer Graphics and Computer-Aided Design Computer Science Applications 010101 applied mathematics 020303 mechanical engineering & transports 0203 mechanical engineering Control and Systems Engineering Shape optimization Sensitivity (control systems) 0101 mathematics business Software Interpolation |
| Zdroj: | Structural and Multidisciplinary Optimization. 58:2621-2633 |
| ISSN: | 1615-1488 1615-147X |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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