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Stiffener layout optimization framework by isogeometric analysis-based stiffness spreading method
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DOI：10.1016/j.cma.2021.114348.png)
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摘要
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An innovative stiffener layout optimization framework is proposed based on the isogeometric analysis-based stiffness spreading method (IGA-based SSM), where the shape and size of stiffeners can be simultaneously optimized. The IGA-based SSM is employed to obtain the stiffness spreading matrices of the stiffeners that are embedded in the flat plate. The flat plate is modeled by high-order continuous isogeometric degenerated shell elements that can provide a smooth sensitivity field. Since the sensitivity required for the optimization can be obtained analytically, a gradient-based optimization algorithm can be employed. Moreover, the ground structure is used to provide the initial layouts of stiffeners and ensure the connectivity of stiffeners. A local geometry control strategy is also adopted to avoid the intersection of stiffeners in the optimization process. To verify the effectiveness and efficiency of the proposed method, typical illustrative examples are discussed in detail, considering the compliance minimization optimization problem. Compared with the continuum topology optimization method, the proposed method can provide a clear stiffener layout with a lower computational cost due to fewer design variables and fewer degrees of freedom of the optimization problem. Besides, the maximum thicknesses of stiffeners can be explicitly controlled, and it can easily solve the optimization problem of various volume fraction constraints. Finally, the proposed method is extended to solve a layout optimization problem of the engine nozzle adjusting plate under pressure loads, which obtains a good stiffener layout under the maximum displacement constraint.(c) 2021 Elsevier B.V. All rights reserved.
Keyword:
Stiffener layout optimization
Isogeometric analysis
Stiffness spreading method
Ground structure
Local geometry control
期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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