Nonlinear Mechanics of Prestressed Stayed Columns

数字设计和制造领域的进步促进了复杂建筑概念的发展，这些概念正在推动同样新颖的结构解决方案的实现。这种情况在双曲板的设计和制造中得到了例证，目前双曲板的设计和制造受到欧洲钢结构设计规范的限制，该规范没有为曲板的结构设计提供指导。虽然最近关于圆柱曲板(即在一个平面上具有恒定曲率半径的板)在不同载荷条件下的性能的研究已经发表，但考虑双曲板在面内载荷下的性能的研究非常有限，这是本研究项目的主要目的。目前描述的问题首先将通过推导和研究双曲抛物面形板的非线性分析模型来解决，目的是提供对所考虑的载荷和边界条件下双曲板的力学行为的理解。这些分析模型将与使用有限元方法建立的数值模型进行验证和验证。这一成熟的方法将为参数研究的结果提供信心，参数研究将测试额外参数的影响，例如初始几何缺陷、板厚度、板长宽比和制造时的残余应力对板承载能力的影响。本研究项目的最终目的是制定各种载荷条件下双曲板的设计建议，研究问题：双曲板在各种面内载荷条件下的力学行为是什么？工程师如何针对破坏模式进行设计，以确保这种结构形式的安全和高效性能？方法利用已建立的能量原理，考虑各种面内载荷和边界条件下的双曲抛物面形板，推导出分析模型。分析模型还将通过使用有限元方法建立的数值模型进行验证和验证。测试附加参数影响的参数研究，如初始几何缺陷、板厚度、板材长宽比和制造过程中的残余应力对板材承载能力的影响。确定所探索的参数之间的相关性，并推导出允许将这些考虑因素落实到工业实践中的设计规范中的关系。随着设计和制造技术的进步，复杂几何形状在工程中变得越来越普遍。这些结构的安全性和可靠性需要基本的力学原理来理解实际中遇到的这些几何形状在荷载下的行为，本研究项目旨在解决这一问题。EPSRC研究领域：工程设计、非线性系统、结构工程EPSRC优先领域：工程科学、轻量化系统、结构完整性和材料性能

Advancements in the fields of digital design and fabrication have facilitated the development of complex architectural concepts that are driving equally novel structural solutions for these to be realised. This scenario is exemplified in the design and fabrication of doubly-curved plates which are currently limited by the European design code for steel structures, which does not provide guidance for the structural design of curved plates. While recent studies considering the behaviour of cylindrically-curved plates (i.e. plates having a constant radius of curvature in one plane) under various load conditions have been published, there is very limited research considering the behaviour of doubly-curved plates under in-plane loading and this is the primary aim of this research project. The currently described problem will be tackled initially by deriving and investigating nonlinear analytical models of hyperbolic paraboloidal shaped plates, the objective being to provide an understanding of the mechanical behaviour of the doubly-curved plate to the loading and boundary conditions considered. These analytical models will be verified and validated against numerical models formulated using the Finite Element Method. This well-established methodology will provide confidence in the results of a parametric study, which will test the influence of additional parameters, such as the effects of initial geometric imperfections, plate thickness, plate aspect ratio and residual stresses from manufacturing, on the load-carrying capacity of the plates.The ultimate aim of this research project is to formulate design recommendations for doubly-curved plates under various loading conditions, in a manner that such recommendations can be implemented in future versions of the design codes for use by practising engineers.Research QuestionsWhat is the mechanical behaviour of doubly curved plates under various in plane loading conditions?How can engineers design for the failure modes to ensure safe and efficient performance of such structural forms?ApproachAnalytical models will be derived, using established energy principles that consider the hyperbolic paraboloid shaped plates under a variety of in plane loading and boundary conditions.The analytical models will be additionally verified and validated against numerical models formulated using the Finite Element Method.A parametric study that tests the influence of additional parameters, such as the effects of initial geometric imperfections, plate thickness, plate aspect ratio and residual stresses from manufacturing, on the load-carrying capacity of the plates.Identify correlations between the parameters explored and derive relationships that allow such considerations to be implemented into the design codes for use in industrial practiceComplex geometries are becoming more prevalent in engineering with advancements in both design and fabrication technologies. The safety and reliability of these structures require fundamental mechanical principles to understand the behaviour of such geometries under loads encountered in practice, which this research project aims to address.EPSRC Research areas: Engineering Design, Non-linear systems, Structural EngineeringEPSRC Priority areas: Engineering sciences, Lightweight systems, Structural integrity and materials behaviour