A NEW METHOD FOR DYNAMIC ANALYSIS OF PLATES AND PLATE ASSEMBILES

板和板组件动态分析的新方法

• 批准号: EP/F03606X/1
• 负责人: Ranjan Banerjee
• 金额: $ 23.22万
• 依托单位: City, University of London
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2008
• 资助国家: 英国
• 起止时间: 2008 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FF03606X%2F1
• 关键词: NEW; METHOD; DYNAMIC; ANALYSIS; PLATES

Establishing the vibration behaviour of structures is an important activity in design within the aircraft and other major industries. Many of these structures are modelled as plates and plate assemblies. The proposed research is focused on improving the capabilities of solving plate vibration problems accurately that will lead to more efficient design and manufacture of structures with improved vibration performance. A new method, called the dynamic finite strip method will be developed. This will be achieved by bringing together and getting the best out of three well-known existing methods, the dynamic stiffness, the finite strip and the finite element methods. An important feature of the new formulation will be the use of one-dimensional refined beam theories for both metallic and composite beams and extend them to the important cases of two dimensional structures such as plates to investigate the free vibration characteristics. In this work, a metallic or composite plate will be split into a number of strips represented by beams subjected to dynamic motion. The dynamic behaviour of the plate will be obtained by combining the behaviour of the individual strips where each strip is idealised as a beam undergoing dynamic motion. It is well known that symbolic computation is a powerful tool in manipulating complicated algebraic expressions often required in structural mechanics. Full advantage of this tool will be taken of when developing the new theory. An established algorithm developed by Wittrick and Williams in the early seventies (known as the W-W algorithm) will be extended for the new method and subsequently used as solution technique to obtain the result. Finally in order to verify the method, a wing box which is an important structural part of a transport airliner will be analysed for its dynamic properties.

确定结构的振动特性是飞机和其他主要工业设计中的一项重要活动。这些结构中的许多被建模为板和板组件。拟议的研究重点是提高准确解决板振动问题的能力，这将导致更有效的设计和制造的结构具有改善的振动性能。一种新的方法，称为动态有限条法将被开发。这将通过汇集和获得最好的三个众所周知的现有方法，动态刚度，有限条和有限元方法。新公式的一个重要特点是将一维精化梁理论用于金属梁和复合材料梁，并将其扩展到二维结构的重要情况，如板，以研究自由振动特性。在这项工作中，一个金属或复合材料板将分裂成许多条梁表示受到动态运动。板的动态特性将通过结合各个条带的特性来获得，其中每个条带被理想化为经历动态运动的梁。众所周知，符号计算是处理结构力学中经常需要的复杂代数表达式的有力工具。在发展新理论时，将充分利用这一工具。由Wittrick和威廉姆斯在70年代早期开发的一种已建立的算法（称为W-W算法）将被扩展为新方法，并随后用作求解技术以获得结果。最后，为了验证该方法的有效性，对某大型运输机的重要结构件翼盒进行了动态特性分析。

项目成果

Review of the dynamic stiffness method for free-vibration analysis of beams

• DOI: 10.1093/tse/tdz005
• 发表时间: 2019-11
• 期刊: Transportation Safety and Environment
• 影响因子: 2.2
• 作者: J. Banerjee

Dynamic stiffness formulation for plates using first order shear deformation theory

使用一阶剪切变形理论计算板的动态刚度公式

• 发表时间: 2010
• 作者: Marco Boscolo