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。该研究寻求标准的、基于有限元的建模实践的替代方法，这些方法使用起来更简单，而且不会牺牲准确性或数学严谨性。要研究的方法是在概念设计阶段使用的。它们将通过减轻与部件几何形状的详细建模相关的许多负担来增强设计过程，这些建模是典型的基于标准有限元的方法。研究还着重于利用基于小波的方法来解决材料布局优化问题，以提高结构性能。如果成功，这项研究将为新的计算机辅助工具提供基础，用于设计各种应用的机械部件，特别是在汽车和航空航天工业中。这些新工具将比目前设计人员在标准实践中可用的工具更容易使用和访问。他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、更有效的工具提供给更广泛的受众，从而提高生产率。

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.