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Smooth size design for the natural frequencies of curved Timoshenko beams using isogeometric analysis.
- Source :
- Structural & Multidisciplinary Optimization; Apr2019, Vol. 59 Issue 4, p1143-1162, 20p
- Publication Year :
- 2019
-
Abstract
- Curved thick beams with smoothly variable cross-section size are very common in practical engineering problems. Designing the variable size based on the traditional finite element methods often leads to non-smooth solutions. To guarantee the smoothness of size distribution, an isogeometric analysis (IGA)-based design approach is proposed in this work to optimize the cross-section size of curved Timoshenko beams for natural frequencies. Due to the geometric exactness and high-order continuity of IGA, there is high accuracy of natural frequency prediction and sensitivity analysis for design optimization. It is found that small numbers of design variables lead to parameterization-dependent solutions, while large numbers of design variables induce design fluctuation. To avoid the undesirable design fluctuation, a stability transformation method-based K-S aggregation constraint scheme is proposed to regularize the size distribution and also achieve the stable convergence of optimal solutions. Multiple design studies including the deterministic and reliability-based optimization problems are performed to demonstrate the applicability and effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR]
- Subjects :
- ISOGEOMETRIC analysis
CURVED beams
FINITE element method
Subjects
Details
- Language :
- English
- ISSN :
- 1615147X
- Volume :
- 59
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Structural & Multidisciplinary Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 135841710
- Full Text :
- https://doi.org/10.1007/s00158-018-2119-8