Structural Topology Design Optimization of Fiber-Reinforced Composite Frames with Fundamental Frequency Constraints
Publication: Journal of Structural Engineering
Volume 148, Issue 4
Abstract
Fiber-reinforced polymer (FRP) composite frames are the ideal main support structure in civil and aerospace engineering applications because of their excellent material and structural properties for high stiffness ratio, high strength ratio, large span, and so forth. This paper investigated strong singularity optimum problems of FRP composite frames under fundamental frequency constraints. An area/moment of inertia-density strategy, the adapted polynomial material interpolation (APLMP) strategy, was adopted. The APLMP strategy changes the physical relationship of a tube’s bending stiffness and cross-sectional area to relax the local vibration frequency constraint. The specific manufacturing constraints for laminated composite were considered in the mathematical model with fixed fiber winding angles and sequence according to certain guidelines to reduce the heavy calculation burden. The artificial densities of the APLMP strategy, which are a function of the areas of the composite frame, were defined as the size and topology optimization variables. Extensive large-scale two-dimensional and three-dimensional numerical examples demonstrated the validity of the APLMP interpolation strategy for topology design optimization of FRP frames. It was proved that the APLMP strategy can solve the challenge of the strongly singular optimum for structure topology design optimization of composite frames with frequency constraints.
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Data Availability Statement
Some or all data, models, or code that support the finding of this study are available from the corresponding author upon reasonable request.
Acknowledgments
Financial support from the National Natural Science Foundation of China (Nos. 12002278, U1906233, and 11672057), the Key R&D Program of Shandong Province (2019JZZY010801), the 111 Project (B14013), and the Fundamental Research Funds for the Central Universities (G2020KY05308) are gratefully acknowledged.
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Published In
Journal of Structural Engineering
Volume 148 • Issue 4 • April 2022
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© 2022 American Society of Civil Engineers.
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Received: Jun 13, 2021
Accepted: Dec 6, 2021
Published online: Feb 11, 2022
Published in print: Apr 1, 2022
Discussion open until: Jul 11, 2022
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