Development of new finite element models to predict the dynamic behavior of shells subjected to flowing fluids

开发新的有限元模型来预测流动流体作用下的壳体的动态行为

• 批准号: RGPIN-2021-03273
• 负责人: Lakis, AouniA
• 金额: $ 2.33万
• 依托单位: École Polytechnique de Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2021
• 资助国家: 加拿大
• 起止时间: 2021-01-01 至 2022-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=742468
• 关键词: Development; new; finite; element; models

Shell structures constitute critical components in aerospace and aircraft engineering, nuclear power plants and naval structures. The aforementioned industries generally use thin-walled shells under high rates of fluid flow and require low shell thicknesses. Under these conditions, the structure becomes very susceptible to instability and failure. The objectives of the proposed work is to develop more sophisticated finite element models that have a larger scope than the existing ones. This permits modeling of more realistic cases while ensuring their reliability. This work is a part of our long-term objective that consists to complete our finite element models based on a reliable and very accurate approach at lower cost relative to experimental method. The first topic is to extend our existing axisymmetric hybrid model to study truncated conical shells subjected to a random boundary layer induced by internal turbulent flow. This requires obtaining the cross-correlation spectral density of the fluid and the mean square value of the displacements of the shell for an arbitrary pressure field and for a boundary-layer pressure. The case of plates and shells subjected to supersonic flow is also an important issue to deal with in the present research project. This allows simulating curved and panels like aircraft fins or turbine blades subjected to supersonic flow. The third research subject concerns the integration of the hyperelastic behaviour of the solid shell when interacting with a fluid. In this research, strain-invariant constitutive models will be used to describe the behaviour of hyperelastic materials. The latter makes it possible to apply our finite element models to structures with more realistic material properties. The last theme concerns the reformulation of the hybrid axisymmetric model coupled with a compressible internal flowing fluid. The objective is to resolve the issue related to fluid boundary conditions imposed on the inlet and outlet of the structure. The development of new numerical models and the improvement of existing ones are motivated by the fact that existing software in this field covers only very limited cases of fluid-structure interaction. In addition, our interest to develop annular flow models is an important opportunity to extend our expertise to others applications. All these developments and their results will be useful to international scientific community working on vibrations of structures in interaction with flowing fluid. Practically, the majority of all the research projects supported by NSERC are also have had and will have the supports of the industry. For instance, the new ALLIANCE program (Industry-NSERC) created by NSERC and replacing the former programs (RD-Coop and Engage). The applicant has and had every three or four years a project of RD-Coop and/or Engage (Bombardier, PWC, Hydro Quebec, CAE, etc.).

壳结构构成了航空航天和飞机工程，核电站和海军结构中的关键组成部分。前面提到的行业通常在较高的流体流量下使用薄壁壳，并且需要低外壳厚度。在这些条件下，结构变得非常容易受到不稳定性和失败的影响。 拟议工作的目标是开发比现有的更复杂的有限元模型。这允许对更现实的案例进行建模，同时确保其可靠性。这项工作是我们长期目标的一部分，它是根据可靠且非常准确的方法以较低的成本相对于实验方法来完成有限元模型的一部分。 第一个主题是扩展我们现有的轴对称杂种模型，以研究受内部湍流引起的随机边界层的截短圆锥形壳。这就需要在任意压力场和边界压力的情况下获得流体的互相关光谱和壳体位移的均等值。 在本研究项目中，受到超音速流量的板和贝壳的情况也是一个重要的问题。这允许模拟弯曲和诸如飞机鳍或涡轮刀片等曲面的面板。 第三项研究主题涉及与液体相互作用时实心壳的超弹性行为的整合。在这项研究中，应变不变的组成型模型将用于描述超弹性材料的行为。后者可以将我们的有限元模型应用于具有更真实材料属性的结构。 最后一个主题涉及混合轴对称模型的重新印象，并加入可压缩的内部流体流体。目的是解决与结构入口和出口上施加的流体边界条件有关的问题。 新的数值模型的开发以及现有的模型的改进是由于该领域中现有软件仅涵盖流体结构相互作用的情况非常有限的事实。 此外，我们对开发环形流量模型的兴趣是将我们的专业知识扩展到其他应用程序的重要机会。 所有这些发展及其结果将对与流动流体相互作用的结构振动的国际科学界有用。实际上，NSERC支持的所有研究项目中的大多数也已有，并将得到该行业的支持。例如，NSERC创建的新联盟计划（Industry-NSERC）并替换了以前的计划（RD-Coop and Gaint）。申请人每三到四年就有一个RD-COOP和/或参与的项目（Bombardier，PWC，Hydro Quebec，CAE等）。