Wavelets and Multi-resolution Analysis in Models for Layout Design of Mechanical Components

该奖项为研究使用基于小波的计算机辅助方法来设计机械部件提供支持。这项研究寻求标准的、基于有限元的建模实践的替代方案，这些方案使用起来更简单，而且不会牺牲精度或数学严谨性。要调查的方法打算在概念设计阶段使用。它们将通过减轻与基于有限元的标准方法中典型的组件几何细节建模相关的大部分负担来增强设计过程。重点研究了利用基于小波的方法来解决材料优化布置问题，以提高结构的性能。如果成功，这项研究将为新的计算机辅助工具提供基础，用于设计具有各种应用的机械部件，通常在汽车和航空航天行业。这些新工具将比目前设计者在标准实践中使用的工具更容易使用和更容易获得。它们还将在改进对成本或整体性能影响最大的阶段解决结构部件的设计问题。其结果应该是通过将更好、更有效的工具交到更广泛的受众手中来提高生产率。

This award provides support to study the use of wavelet-based, computer aided methods to design mechanical components. The research seeks alternatives to the standard, finite-element based modeling practice that are simpler to use and do not sacrifice accuracy or mathematical rigor. Methods to be investigated are intended to be used at the conceptual design stage. They will enhance the design process by relieving much of the burden associated with the detailed modeling of component geometries that is typical in standard finite-element based methodologies. The research also focuses on the use of wavelet-based approaches to the solution of the problem of optimization of the layout of material to enhance structural performance. If successful, this investigation will provide the foundation for new computer-aided tools for design of mechanical components with a variety of applications, typically in automotive and aerospace industries. These new tools will be simpler to use and more accessible than those that are currently available to designers in standard practice. They also will address the problem of design of structural components at a stage where improvements can have most impact on cost or overall performance. The result should be enhanced productivity by putting better, more effective tools in the hands of a broader audience.