Modeling the Vibrations and Energy Flows in Complex Dynamic Systems

复杂动态系统中的振动和能量流建模

• 批准号: 0528263
• 负责人: Wenlong Li
• 金额: --
• 依托单位: Mississippi State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-09-01 至 2008-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0528263&HistoricalAwards=false
• 关键词: Modeling; Vibrations; Energy; Flows; Complex

AbstractThis proposed research aims to develop a general method for the modeling of complex dynamic systems, especially in the critical mid-frequency range. The research builds on the PI's recent work on the vibration and energy flow analyses of elastically restrained beams and plates. The general approach of the research is to divide a complex dynamic system into a number of subsystems or components, based on two innovative ideas: 1) the displacements on each component are expressed as a generalized fast-converging Fourier series expansion; 2) the interactions of various components at junctions are accurately described in the form of force balance or displacement continuity equations. The research will potentially lead to major advances in numerical methods for the dynamic analysis of complex systems in a broad frequency range. These advances will allow the creation of a unified tool for determining the dynamic properties such as the wave transmission coefficients and modal parameters for various structures or junctions, regardless of boundary conditions, coupling conditions, joint configurations, or the number of components involved. The current model will represent the interactions of the individual components faithfully as under the actual system condition and will overcome the problem of having to calculate or specify, a priori, the joint or component properties. The research will also advance the fundamental understanding and design of complex dynamic systems by focusing on the important uncertainty and sensitivity issues related to the manufacturing and modeling processes. The research will be focused on the critical mid-frequencies and will lead to solutions of the noise and vibration problems that impact the design of a wide range of dynamic systems from consumer products to aircrafts. The research will develop modeling tools that will free the designers from the often enormous effort in creating models, extracting component modal properties and other model variables, or customizing the formulations and solution procedures to accommodate minor changes or variations in boundary conditions, coupling configurations, or other system or component conditions. Graduate students will be directly involved with this project. Undergraduate students, especially minority students, will be involved via senior design projects, internship with the industrial partner, and through undergraduate research projects. Through this project, future professionals will be trained with broad backgrounds and strong skills to solve practical engineering problems and to perform advanced researches.

摘要本研究的目的是发展一种通用的方法，为复杂的动态系统建模，特别是在关键的中频范围。 该研究建立在PI最近的工作，弹性约束梁和板的振动和能量流分析。 研究的总体思路是将复杂动力系统分解为若干子系统或部件，其创新思想是：1）将每个部件上的位移表示为广义快速收敛的傅里叶级数展开式; 2）将各部件在连接处的相互作用精确地描述为力平衡或位移连续性方程的形式。 该研究将可能导致在宽频率范围内复杂系统动态分析的数值方法的重大进展。 这些进步将允许创建一个统一的工具来确定各种结构或接头的动态特性，例如波传输系数和模态参数，而无论边界条件、耦合条件、接头配置或所涉及的部件数量如何。 当前的模型将忠实地表示各个部件在实际系统条件下的相互作用，并且将克服必须先验地计算或指定接头或部件属性的问题。 该研究还将通过关注与制造和建模过程相关的重要不确定性和敏感性问题，推进对复杂动态系统的基本理解和设计。 该研究将集中在关键的中频，并将导致噪声和振动问题的解决方案，影响从消费品到飞机的各种动态系统的设计。 该研究将开发建模工具，使设计人员从创建模型，提取组件模态特性和其他模型变量，或定制配方和解决方案程序，以适应边界条件，耦合配置或其他系统或组件条件的微小变化或变化的巨大努力中解放出来。研究生将直接参与这个项目。 本科生，特别是少数民族学生，将通过高级设计项目，与工业合作伙伴实习，并通过本科研究项目参与。 通过这个项目，未来的专业人才将培养具有广泛的背景和强大的技能，以解决实际工程问题，并进行先进的研究。