Collaborative Research: Health Monitoring and System Identification of Complex Mechanical Systems Using Fractional-Order Calculus Modeling

合作研究：使用分数阶微积分建模复杂机械系统的健康监测和系统识别

基本信息

批准号：
1825837
负责人：
Fabio Semperlotti
金额：
$ 27.18万
依托单位：
Purdue University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-08-15 至 2022-07-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1825837&HistoricalAwards=false
关键词：
Collaborative Research Health Monitoring System

项目摘要

Inspection and maintenance are significant cost drivers to manage and preserve the quality of our nation's transportation systems and infrastructure. Current strategies are based on preventive approaches that do not consider the actual real-time status of a specific structural component. In these approaches, the systems are subject to routine inspections and replacement of components that are scheduled a priori based on a combination of empirical data and numerical predictions of the estimated life. Such approaches are sub-optimal because they may lead to replacement of fully-functional components, on the one hand, and may miss rapidly deteriorating conditions between scheduled inspections, on the other. This research will develop new methods to address both shortcomings by investigating new modeling and monitoring techniques particularly suited and applicable to modern, complex systems. To enable this condition-based monitoring approach, better theoretical and numerical models are needed to simulate the dynamic behavior of complex mechanical systems as well as to produce metrics capable of tracking their status in real-time. This award supports fundamental research to develop mathematical and computational models based on fractional calculus. The methods resulting from this research will be highly useful in application that use imaging and remote sensing in structural, geological, and biological media. The educational part of this project will feature, among its different components, the development of a new course to introduce engineering students to fractional calculus and its applications to modeling of engineering systems.This research will involve a systematic study to determine how fractional-order differential equations will enhance the state-of-the-art in system identification and monitoring. Fractional-order models are a new and useful tool for modeling of complex engineering systems, however they are not yet common in engineering. Their application to structural health monitoring will provide a substantially new approach for damage detection and diagnostics, it will introduce the system order as a new parameter for system assessment, and it will provide highly mathematically structured and concise descriptions of the dynamics of complex systems. More specifically, this work will (1) determine the effect of structural damage on the fractional order of the host system and develop methodologies to account for its impact on the underlying governing equations; (2) use fractional approaches to achieve efficient order reduction, sub-structuring, and inverse problem solutions; (3) develop fractional models for system identification based on purely experimental data; and (4) develop testbeds for experimental validation.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

检查和维护是管理和保留国家运输系统和基础设施质量的巨大成本驱动因素。当前的策略基于预防方法，这些方法不考虑特定结构组件的实际实时状态。在这些方法中，系统需要进行常规检查和替换组件，这些组件基于经验数据和估计寿命的数值预测的结合而安排的成分。这种方法是最佳选择的，因为它们可能会导致一方面替换彻底的功能组件，并且可能会在预定的检查之间迅速降低条件，另一方面是迅速恶化的条件。这项研究将开发新的方法来解决这两种缺陷，通过研究新的建模和监测技术，特别适合现代，复杂的系统。为了启用这种基于条件的监视方法，需要更好的理论和数值模型来模拟复杂的机械系统的动态行为，并产生能够实时跟踪其状态的指标。该奖项支持基础研究，以开发基于分数演算的数学和计算模型。这项研究产生的方法将在使用成像和遥感中的结构，地质和生物学媒体中非常有用。该项目的教育部分将在其不同的组成部分中开发一门新课程，以将工程学生介绍到分数微积分及其在工程系统建模中的应用。这项研究将涉及一项系统的研究，以确定分数级别差分方程如何增强系统识别和监测的目前状态。分数订单模型是用于建模复杂工程系统的新工具，但是它们在工程中并不常见。它们在结构健康监测中的应用将为损伤检测和诊断提供一种新的方法，它将引入系统顺序作为系统评估的新参数，并将提供高度数学结构化的复杂系统动力学描述。更具体地说，这项工作将（1）确定结构损坏对宿主系统分数顺序的影响，并开发方法来说明其对基础管理方程的影响；（2）使用分数方法来实现有效的降低秩序，子结构和反问题解决方案；（3）基于纯粹的实验数据开发用于系统识别的分数模型；（4）开发实验验证的测试床。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛影响的评论标准来评估值得支持的。

项目成果

期刊论文数量（21）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

On the role of the microstructure in the deformation of porous solids

DOI：
10.1038/s41524-022-00840-5
发表时间：
2022-02
期刊：
npj Computational Materials
影响因子：
9.7
作者：
Sansit Patnaik;M. Jokar;Wei Ding;F. Semperlotti
通讯作者：
Sansit Patnaik;M. Jokar;Wei Ding;F. Semperlotti

A generalized fractional-order elastodynamic theory for non-local attenuating media

DOI：
10.1098/rspa.2020.0200
发表时间：
2020-06-24
期刊：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
影响因子：
3.5
作者：
Patnaik, Sansit;Semperlotti, Fabio
通讯作者：
Semperlotti, Fabio

Variable-order fracture mechanics and its application to dynamic fracture