Nonlinear dynamics of shell and plate structures, multi-dimensional and multi-field applications

壳板结构非线性动力学、多维多领域应用

• 批准号: RGPIN-2018-06609
• 负责人: Amabili, Marco
• 金额: $ 4.66万
• 依托单位: McGill University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2022
• 资助国家: 加拿大
• 起止时间: 2022-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=760129
• 关键词: Nonlinear; dynamics; shell; plate; structures

The proposed research will propose a unifying approach to investigate nonlinear dynamics and fluid-structure interaction of shells for mechanical, aerospace, nuclear, nano and biomedical applications. There are similarities between the shell structures of aircraft, space rockets and those for biomedical applications. However, material properties for these applications are very different. Shells and plates made of traditional, composite and functionally graded materials can be modelled as linear elastic material, while soft biomaterials need to be modelled as hyperelastic and viscoelastic. The study of vibrations will be performed numerically, by developing innovative numerical codes based on reduced-order models that use natural modes for discretization and, experimentally with sophisticated measuring systems and procedures, including an advanced three-dimensional laser Doppler vibrometer to acquire displacements and velocities during vibrations. There are five major scientific themes linking the applicant's research over the next five years. The first goal is the numerical simulation of the nonlinear dynamics of shell structures using a new consistent nonlinear higher-order shear deformation theory that retains rotary inertia and thickness deformation with applications to sandwich structures, functionally graded and soft biological materials. The second goal is experimental testing with the aim of fully understanding the physical behaviour and validating the nonlinear structural models by performing tests on composite and soft material structures in presence of fluid-structure interaction. The third goal is the nonlinear damping identification and modelling in large-amplitude vibrations. The fourth goal is the stability and dynamic analysis of human aorta based on a new nonlinear shell theory that takes into account thickness variation, blood pulsatile flow, material and dissipation nonlinearities. The fifth goal is to address open problems of dynamics of nano-devices in 2D materials, as graphene nano-plates. In particular, nonlinear and parametric vibrations are extremely easily excited since the 2D materials are extremely thin. The effect of manufacturing imperfections, like wrinkling, is particularly important at this scale and their influence on the dynamics is an open problem. The impact of the proposed research will be transversal to several disciplines from cardiovascular biomechanics to nano-devices. Research findings have the potential to inspire the design of a new generation aortic prosthesis and reveal the currently missing biomechanical explanation behind the pathological process leading to aortic dissection and rupture. Providing a deep insight into the dynamics of nano-devices in 2D materials will potentially define novel design methods to guide product development of this new generation material.

拟议的研究将提出一种统一的方法来研究机械，航空航天，核，纳米和生物医学应用的壳的非线性动力学和流体结构相互作用。飞机，太空火箭的壳结构与生物医学应用的壳结构之间有相似之处。但是，这些应用程序的材料特性大不相同。由传统，复合和功能分级的材料制成的贝壳和板可以建模为线性弹性材料，而软生物材料则需要建模为高弹性和粘弹性。振动的研究将通过基于降低的模型开发创新的数值代码来进行数值，这些模型使用天然模式进行离散化，并通过实验性地进行复杂的测量系统和过程，包括先进的三维激光多普勒多普勒振动仪在振动过程中获取置换率和速度。在接下来的五年中，有五个主要的科学主题将申请人的研究联系起来。第一个目标是使用新的一致的非线性高阶剪切变形理论对壳结构的非线性动力学进行数值模拟，该理论保留了旋转惯性和厚度变形，并适用于三明治结构，功能分级和软生物学材料。第二个目标是实验测试，目的是通过在存在流体结构相互作用的情况下对复合材料和软材料结构进行测试，以充分了解身体行为并验证非线性结构模型。第三个目标是在大振幅振动中的非线性阻尼识别和建模。第四个目标是基于新的非线性壳理论的人主动脉的稳定性和动态分析，该理论考虑了厚度变化，血脉冲流，物质和耗散非线性。第五个目标是解决2D材料中纳米磁发设备动态的开放问题，作为石墨烯纳米板。特别是，由于2D材料非常薄，因此非线性和参数振动非常容易激发。在此规模上，制造不完美的影响（如皱纹）尤其重要，它们对动态的影响是一个开放的问题。拟议的研究的影响将横向从心血管生物力学到纳米驱动器的几个学科。研究发现有可能激发新一代主动脉假体的设计，并揭示了导致主动脉夹层和破裂的病理过程背后缺失的生物力学解释。对2D材料中纳米驱动器的动态提供深入的洞察力，将有可能定义新的设计方法，以指导这种新一代材料的产品开发。