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Analysis of natural frequency for bioinspired functional gradient plates

机译:生物悬浮功能梯度板的自然频率分析

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摘要

Biological materials-fish scales exhibit ultra-flexibility due to its functionally graded materials. Inspired by the hierarchical gradient structure of fish scales, a new flexible gradient model that can adequately describe the characteristics of the bioinspired hierarchical structures is proposed in this work. To assess the flexibility of the proposed gradient model, a combination of extended finite element method (XFEM) and stabilized discrete shear gap (DSG) is established to analyze the vibration of bioinspired gradient plates with/without cracks. The DSG technique is employed to eliminate the shear locking phenomenon, while the XFEM is used for a mesh-independent modelling of crack. The combined approach is applicable to both moderately thick and thin plates, and is insensitive to mesh distortion. Functionally gradient plates take two types: power law function (Type I) and bioinspired hierarchical mode (Type II). For Type I, the natural frequencies decrease by increasing the gradient factor, i.e., the exponent of the power law. When the gradient factor is larger than one, the improvement of the plate stiffness by material gradient is restricted. For Type II, the natural frequencies are mostly independent of the step smoothing factor, yet quite sensitive to the number of step layers, providing an additional degree of freedom in tailoring the material properties. In addition, the natural frequencies of the bioinspired gradient plate are lower than that of the homogeneous ceramic plate. By using Type II, the stiffness of the plate can be reduced effectively, making the plate prone to deformation, which coincides with the flexible scale design. Therefore, the present study provides an incisive method and instructive guideline for a new era of artificially designed flexible materials inspired by natural (or biological) materials and structures.
机译:生物材料 - 鱼鳞由于其功能渐变的材料具有超柔韧性。灵感来自鱼鳞的分层梯度结构,在这项工作中提出了一种可以充分描述生物透明层次结构的特征的新灵活梯度模型。为了评估所提出的梯度模型的灵活性,建立了扩展有限元方法(XFEM)和稳定的离散剪切间隙(DSG)的组合,以分析BioinSpired梯度板的振动与/没有裂缝。使用DSG技术来消除剪切锁定现象,而XFEM用于与网状无关的裂缝建模。合并的方法适用于适度厚的薄板,并且对网状失真不敏感。功能梯度板采用两种类型:电力法函数(I型)和BioInspired等级模式(II型)。对于I型,通过增加梯度因子,即权力法指数,自然频率降低。当梯度因子大于1时,通过材料梯度改善板刚度的改善。对于II型,自然频率主要与步进平滑因子无关,对步进层的数量非常敏感,提供额外的自由度来定制材料特性。另外,生物悬浮梯度板的固有频率低于均匀陶瓷板的固体频率。通过使用II型,可以有效地减少板的刚度,使得板容易变形,这与柔性尺度设计一致。因此,本研究提供了由天然(或生物)材料和结构的人工设计的柔性材料的新时代进行了精辟的方法和有助的指导。

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    Hunan Univ Coll Civil Engn Key Lab Green & Adv Civil Engn Mat & Applicat Tec Changsha 410082 Hunan Peoples R China;

    Hunan Univ State Key Lab Adv Design & Mfg Vehicle Body Changsha Peoples R China;

    Hunan Univ Coll Civil Engn Key Lab Green & Adv Civil Engn Mat & Applicat Tec Changsha 410082 Hunan Peoples R China|Hunan Univ Int Sci Innovat Collaborat Base Green & Adv Civil Changsha 410082 Hunan Peoples R China;

    Hanoi Univ Sci & Technol Sch Mat Sci & Technol Hanoi Vietnam;

    Duy Tan Univ Inst Res & Dev Da Nang City Vietnam|Tokyo Inst Technol Dept Civil & Environm Engn Meguro Ku 2-12-1-W8-22 Ookayama Tokyo 1528552 Japan;

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  • 正文语种 eng
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  • 关键词

    Biological materials; Flexible structure; Bio-inspired hierarchical gradient plate; XFEM; DSG;

    机译:生物材料;柔性结构;生物启发等级梯度板;XFEM;DSG;

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