Mid-Frequency Vibration Analysis of Complex Structures

复杂结构的中频振动分析

• 批准号: 9634954
• 负责人: Christophe Pierre
• 金额: $ 16.65万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-01-01 至 2001-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9634954&HistoricalAwards=false
• 关键词: Mid; Frequency; Vibration; Analysis; Complex

The main emphasis of this research project is to develop methods for analyzing and predicting mid-frequency vibration transmission in complex structures, which are assemblages of connected substructures. Complex structures are a generalization of periodic and nearly periodic structures. In the mid-frequency range of vibration for a complex structure, the vibration wavelengths are small enough for uncertainties and flaws in the structure to have significant impact on the global dynamics. The assumptions which currently limit high-frequency statistical energy methods are systematically examined and relaxed. This extends their applicability to more general systems such as those with strong inter-component coupling. A major thrust in this research effort is on the elimination of assumptions which restrict the analysis to the high-frequency range. The outcome of this research is a hierarchy of new methods for the vibration analysis of complex structures. These new methods are valid for both mid-and high-frequency ranges, reproduce mode localization and related phenomena caused by uncertainties, which handle moderate and strong coupling situations, and are relatively simple. The methods developed are validated through systematic comparison with experimental data. Simple benchmark experiments (e.g., vibration transmission in two coupled plates) are carried out in the laboratory.

本研究项目的主要重点是开发分析和预测复杂结构中频振动传输的方法，这些结构是由连接的子结构组成的。复杂结构是周期结构和近周期结构的推广。在复杂结构的中频振动范围内，振动波长足够小，结构中的不确定性和缺陷会对整体动力学产生重大影响。系统地检查和放宽目前限制高频统计能量方法的假设。这扩展了它们对更一般的系统的适用性，例如那些具有强组件间耦合的系统。这项研究工作的主要推动力是消除将分析限制在高频范围内的假设。这项研究的结果是一个层次的新方法的振动分析的复杂结构。该方法适用于中频和高频范围，重现了模式局部化和不确定性引起的相关现象，处理了中等和强耦合情况，且相对简单。通过与实验数据的系统比较，验证了所提出方法的有效性。在实验室中进行了简单的基准实验（例如，两个耦合板的振动传递）。