今日更新:Computer Methods in Applied Mechanics and Engineering 1 篇,Thin-Walled Structures 1 篇
Volumetric embedded entities for the IsoGeometric Analysis of complex structures
Guerder Marie, Duval Arnaud, Elguedj Thomas, Dam Damien
doi:10.1016/j.cma.2023.116426
用于复杂结构等几何分析的体积嵌入实体
We propose a convenient methodology for the modeling and analysis of aircraft compressor blades. To meet this goal, IsoGeometric Analysis is put to good use, as it allows for an exact representation of the geometry, especially for the analysis. This work aims at developing numerical tools to handle mechanical analysis, and later on shape optimisation, of 3D aircraft engine compressor blades using IGA. More precisely, our final goal is to carry out shape optimisation of one precise patch belonging to a complex multipatch structure, while having other patches to follow automatically the geometric changes. To meet this goal, work on geometric and modeling aspects are needed, which is the objective of this paper. Using the proposed techniques to perform gradient-based shape optimisation constitutes a work in itself and is therefore not presented here, but will be detailed in a follow-up paper. In our case, the complete blade assembly is represented using several volumetric patches: the airfoil, the platform, the tenon and the fillet. In order to ensure the geometric compatibility between the different patches, we propose an embedded solid element formulation. A mortar method is implemented in order to guarantee the coupling between the various parts of the assembly. The results show a great potential for the proposed approach for blades design, while concurrently offering broad perspectives in terms of applications.
我们为飞机压缩机叶片的建模和分析提出了一种便捷的方法。为了实现这一目标,IsoGeometric Analysis(等几何分析)得到了很好的应用,因为它可以精确地表示几何形状,特别是在分析时。这项工作旨在开发数值工具,利用 IGA 处理三维飞机发动机压气机叶片的机械分析和随后的形状优化。更确切地说,我们的最终目标是对属于复杂多补丁结构的一个精确补丁进行形状优化,同时让其他补丁自动跟随几何变化。为实现这一目标,需要在几何和建模方面开展工作,这也是本文的目的所在。使用所提出的技术来执行基于梯度的形状优化本身就是一项工作,因此在此不做介绍,将在后续论文中详细阐述。在我们的案例中,完整的叶片组件由几个体积补丁来表示:机翼、平台、榫头和圆角。为了确保不同补丁之间的几何兼容性,我们提出了一种嵌入式实体元素公式。为了保证组件各部分之间的耦合,我们采用了一种砂浆方法。研究结果表明,所提出的方法在叶片设计方面具有巨大潜力,同时也提供了广阔的应用前景。
Nonlinear vibrations of auxetic honeycomb thin plates based on the modified Gibson functions
Liu Yunfei, Qin Zhaoye, Chu Fulei
doi:10.1016/j.tws.2023.111259
基于修正吉布森函数的辅助蜂窝薄板非线性振动
Auxetic honeycombs possess many excellent properties, making them ideal cores for sandwich structures that can absorb energy effectively. This paper investigates the nonlinear vibrations of auxetic honeycomb composite plates, focusing on the primary resonance, super-/sub-harmonic resonances of the composite plates. Two pure panels sandwich an auxetic honeycomb core to form the honeycomb composite plate. The proposed modified Gibson function enables the derivation of effective material properties. By considering geometric nonlinearity, the nonlinear motion equations are derived through the implementation of the Hamilton principle, and then nonlinear ordinary differential equations are given by introducing stress functions and the Galerkin method. The nonlinear response curves are then determined by the multiple scale method. The impact of important parameters on the nonlinear vibration of auxetic honeycomb composite plates is evaluated in this study.
醋酸纤维蜂窝具有许多优异的性能,使其成为可有效吸收能量的夹层结构的理想芯材。本文研究了辅助蜂窝复合板的非线性振动,重点是复合板的主共振、超谐波/次谐波共振。两块纯板夹着辅助蜂窝芯构成蜂窝复合板。所提出的修正吉布森函数可以推导出有效的材料特性。考虑到几何非线性,通过实施汉密尔顿原理推导出非线性运动方程,然后通过引入应力函数和 Galerkin 方法给出非线性常微分方程。然后通过多重标度法确定非线性响应曲线。本研究评估了重要参数对辅助蜂窝复合板非线性振动的影响。