A novel iterative algorithm for natural frequency analysis of FG thin plates under interval uncertainty

Zhu, Jingjing; Lv, Zhiyi; Liu, Hu

doi:10.1007/s00158-019-02267-x

Cited by 11 publications

(2 citation statements)

References 57 publications

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“…In previous studies, the shape or size of some structures was optimized to change their natural frequency while they were bound to a single initial structure. The rigidity and mass distribution of some structures were improved to change their natural frequency; however, it was difficult to satisfy the practical requirements for high-dimensional complex structures [ 40 , 41 , 42 ]. Considering the characteristics of the previous design methods, the FIP design method was used in this study to investigate the natural frequency of acoustic metamaterials.…”

Section: Research Problems On Fmammentioning

confidence: 99%

Novel Design Scheme for Structural Fundamental Frequency of Porous Acoustic Metamaterials

Zhou

et al. 2022

Materials

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Structural resonance increases the vibration and noise of porous acoustic metamaterials while reducing the energy consumption and conversion efficiency of acoustic waves. Therefore, structural fundamental frequency of porous acoustic metamaterials is required to be controlled to avoid resonance. This study proposes a full-cycle interactive progressive (FIP) design scheme for porous acoustic metamaterials. The FIP design scheme first establishes a specific parameter relationship for the initial model based on the intentions of the designers. The initial model is then dynamically adjusted through a series of optimization processes. In particular, the FIP design scheme is developed for a porous acoustic metamaterial in an acoustic-structure interaction system. The effects of the structural parameters and applied boundary conditions of the porous acoustic metamaterial on the structural fundamental frequency are investigated. A surrogate model is introduced to reduce the calculation costs and improve the design efficiency of the parametric optimization. The frequency-modulation acoustic metamaterial is tailored to improve its acoustic and vibrational characteristics, including the resonance resistance and low dynamic response. The features of the FIP design scheme in the optimized design of porous acoustic metamaterials are demonstrated.

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Section: Research Problems On Fmammentioning

confidence: 99%

Novel Design Scheme for Structural Fundamental Frequency of Porous Acoustic Metamaterials

Zhou

et al. 2022

Materials

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“…In uncertainty analysis, since the interval model does not require a large amount of test data and statistical information of input parameters, the interval model has been applied in many engineering fields (Zhu et al 2019;Wang et al 2018;Fang et al 2018;Rao and Majumder 2008;Popova and Elishakoff 2020). The input parameters of the interval model are defined as interval variables, as well the responses of the interval model include the upper and lower bounds and the uncertainty level of the model.…”

Section: Introductionmentioning

confidence: 99%

Interval analysis and optimization of axial friction force of drive-shaft systems considering rough surface characteristics

Feng

Shangguan

2021

Struct Multidisc Optim

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The axial friction force (AFF) of drive-shaft systems is mainly caused by friction inside tripod joints. In order to study the influence of the friction on the AFF more deeply, a novel deterministic model for calculating the AFF considering rough surface characteristics (RSC) is established based on the fractal theory. Through measuring the AFF of a drive-shaft system, the deterministic model is verified. After considering RSC, the AFF has considerable uncertainty. Based on Legendre polynomials and the deterministic model of the AFF, an interval model for calculating the AFF considering RSC is proposed to study the AFF more efficiently. In the interval model, the factors affecting the AFF are considered as interval variables. Combining Legendre polynomials and the vertex method, a novel method called Legendre-vertex method is proposed to solve the responses of the interval model in an efficient manner. Multi-objective interval uncertainty optimization of the AFF is subsequently carried out to obtain the optimal design parameters of the drive-shaft system. In the optimization, both the upper bound and the uncertainty level of the AFF are regarded as optimization objectives. The results suggest that the Legendrevertex method can solve responses of an interval model in an efficient manner, which is suitable for the interval analysis and optimization of the AFF considering RSC, as well the multi-objective interval uncertainty optimization of the AFF not only ensures that the upper bound of the AFF meets the design requirement but also improves the robustness of the AFF.

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Analysis and optimization for generated axial force of a drive-shaft system with interval uncertainty

Feng

Rakheja

Shangguan

2020

Struct Multidisc Optim

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A novel iterative algorithm for natural frequency analysis of FG thin plates under interval uncertainty

Cited by 11 publications

References 57 publications

Novel Design Scheme for Structural Fundamental Frequency of Porous Acoustic Metamaterials

Novel Design Scheme for Structural Fundamental Frequency of Porous Acoustic Metamaterials

Interval analysis and optimization of axial friction force of drive-shaft systems considering rough surface characteristics

Analysis and optimization for generated axial force of a drive-shaft system with interval uncertainty

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