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Development and Analysis of Methods for the Identification of Correlated Parameters in Multifield Problems

多场问题中相关参数识别方法的开发和分析

基本信息

批准号：
264166740
负责人：
Professor Dr.-Ing. Carsten Könke
金额：
--
依托单位：
Institut für Strukturmechanik (ISM)
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2014
资助国家：
德国
起止时间：
2013-12-31 至 2021-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/264166740?language=en
关键词：
Development Analysis Methods Identification Correlated

项目摘要

The evaluation of the safety of buildings, which suffer from hydrological, temperature and mechanical loads, e.g., dams, is a highly demanding problem due to the interaction effects of the different fields.The estimation of the lifetime of such building is often linked to the question of the current state of damage.For existing structures the question arises, how existent cracks or damages can be identified with a high precision in a model-based approach. A possible scenario might be, that for a newly constructed building a validated and calibrated model has been derived. After some years of usage, and in particular after extreme events like earthquakes, cracks or damages might have occurred inside the structures.Those shall be identified by measurements of a relatively short time interval (e.g. one month) and the comparison with the existing model. The goal of the proposed project is the develop and analyze methods, which can consider during identification procedures possible correlations of main parameters (e.g. those to model damage) in a multi-field system. For example, in case of a damage in a dam one can expect in parallel a local increase of the hydraulic permeability and a local reduction of the mechanical stiffness.Such correlations can be considered explicitly during an inverse analysis, in order to improve the confidence in the detected quantities. For the proposed problem, the damage identification, cracks and damages will be described with the eXtended Finite Element Methode (XFEM). XFEM has established as a useful tool, in particular for inverse problems, as during the identification routines no re-meshing of the domain is necessary.The method to develop is of general character and might be applied to several multi-field identification problems in engineering and natural sciences, where correlations between the input parameters are known or can at least be estimated, e.g. piezoelectricity, magneto-electronics or thermo-mechanics. The proposed research project includes the development and analysis of mathematical models for the identification of parameters in a multi-field context and the validation of the derived methods with existing measurements of real buildings.

评估建筑物的安全性，这些建筑物承受水文、温度和机械载荷，例如，由于不同场的相互作用，大坝是一个高要求的问题。这种建筑物的寿命估计通常与当前损伤状态的问题有关。对于现有的结构，问题出现了，如何在基于模型的方法中以高精度识别存在的裂缝或损伤。一种可能的情况是，对于一个新建造的建筑物，已经推导出一个经过验证和校准的模型。在使用若干年后，特别是在地震等极端事件后，结构内部可能出现裂缝或损坏。应通过相对较短时间间隔（例如一个月）的测量并与现有模型进行比较来识别这些裂缝或损坏。拟议项目的目标是开发和分析方法，可以在识别过程中考虑多场系统中主要参数（例如，模型损伤）的可能相关性。例如，在大坝受损的情况下，可以预期渗透率的局部增加和机械刚度的局部减小是并行的，这种相关性可以在反分析期间明确地考虑，以提高检测量的置信度。针对所提出的问题，将用扩展有限元法（XFEM）描述损伤识别、裂纹和损伤。XFEM已成为一种有用的工具，特别是对于反问题，因为在识别例程期间不需要重新划分域。开发的方法具有一般性，并且可以应用于工程和自然科学中的几个多领域识别问题，其中输入参数之间的相关性是已知的或至少可以估计，例如压电，磁电子学或热机械学。拟议的研究项目包括开发和分析数学模型，用于在多领域范围内识别参数，并利用真实的建筑物的现有测量结果验证导出的方法。