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- 8.1 Sensorik, mess- und prüftechnische Verfahren (3) (entfernen)
The present work is intended to make a contribution to the monitoring of civil engineering structures. The detection of damage to structures is based on the evaluation of spatially and temporally distributed hybrid measurements. The acquired data can be evaluated purely geometrically or physically. It is preferable to do the latter, since the cause of damage can be determined by means of geometrical-physical laws in order to be able to intervene in time and ensure the further use of the structures. For this reason, the continuum mechanical field equations in conjunction with the finite element method and hybrid measurements are combined into a single evaluation method by the adjustment calculation. This results in two challenges.
The first task deals with the relationship between the finite element method and the method of least squares. The finite element method solves certain problem classes, which are described by a system of elliptical partial differential equations. Whereas the method of least squares solves another class of problems, which is formulated as an overdetermined system of equations. The striking similarity between both methods is known since many decades. However, it remains unresolved why this resemblance exists. The contribution is to clarify this by examining the variational calculus, especially with regard to its methodological procedure. Although the well-known Gauss-Markov model within the method of least squares and the finite element method solve inherently different problem classes, it is shown that both methods can be derived by following the same methodological steps of the variational calculus. From a methodical viewpoint, this implies that both methods are not only similar, but actually the same. In addition, it is pointed out where a possible cross-connection to other methods exists.
The second task introduces a Measurement- and Model-based Structural Analysis (MeMoS) by integrating the finite element method into the adjustment calculation. It is shown in numerical examinations how this integrated analysis can be used for parameter identification of simple as well as arbitrarily shaped structural components. Based on this, it is examined with which observation types, with which precision and at which location of the structure these measurements must be carried out in order to determine the material parameters as precisely as possible. This serves to determine an optimal and economic measurement set-up. With this integrated analysis, a substitute model of a geometrically complex structure can also be determined. The issue of the detection and localisation of damage within a structure is studied by means of this structural analysis. The Measurement and Model-based Structural Analysis is validated using two different test setups, an aluminum model bridge and a bending beam.
The present work is intended to make a contribution to the monitoring of civil engineering structures. The detection of damage to structures is based on the evaluation of spatially and temporally distributed hybrid measurements. The acquired data can be evaluated purely geometrically or physically. It is preferable to do the latter, since the cause of damage can be determined by means of geometrical-physical laws in order to be able to intervene in time and ensure the further use of the structures. For this reason, the continuum mechanical field equations in conjunction with the finite element method and hybrid measurements are combined into a single evaluation method by the adjustment calculation. This results in two challenges.
The first task deals with the relationship between the finite element method and the method of least squares. The finite element method solves certain problem classes, which are described by a system of elliptical partial differential equations. Whereas the method of least squares solves another class of problems, which is formulated as an overdetermined system of equations. The striking similarity between both methods is known since many decades. However, it remains unresolved why this resemblance exists. The contribution is to clarify this by examining the variational calculus, especially with regard to its methodological procedure. Although the well-known Gauss-Markov model within the method of least squares and the finite element method solve inherently different problem classes, it is shown that both methods can be derived by following the same methodological steps of the variational calculus. From a methodical viewpoint, this implies that both methods are not only similar, but actually the same. In addition, it is pointed out where a possible cross-connection to other methods exists.
The second task introduces a Measurement- and Model-based Structural Analysis (MeMoS) by integrating the finite element method into the adjustment calculation. It is shown in numerical examinations how this integrated analysis can be used for parameter identification of simple as well as arbitrarily shaped structural components. Based on this, it is examined with which observation types, with which precision and at which location of the structure these measurements must be carried out in order to determine the material parameters as precisely as possible. This serves to determine an optimal and economic measurement set-up. With this integrated analysis, a substitute model of a geometrically complex structure can also be determined. The issue of the detection and localisation of damage within a structure is studied by means of this structural analysis. The Measurement and Model-based Structural Analysis is validated using two different test setups, an aluminum model bridge and a bending beam.
Feuchte, sei es Material- oder Gasfeuchte, ist eine wichtige Messgröße bei der Qualitätsbeurteilung von Kunststoffen, landwirtschaftlichen Erzeugnissen, Energieträgern, Arzneimitteln, industriell und medizinisch verwendeten Gasen. Deswegen gibt es ein Interesse Feuchtemesserfahren hinsichtlich Präzision, Wiederholbarkeit, Rückführbarkeit und Stabilität kontinuierlich zu verbessern. Ein bewährtes Messprinzip für diese Aufgabe wurde bereits 1959 von Keidel entwickelt und basiert auf der Absorption und Elektrolyse von Wasserdampf. Der einfache Aufbau dieses Prinzips besteht aus einem Sensorelement, einer Gleichspannungsquelle, einem Digitalmultimeter und einen geregelten Gasstrom über den Sensor. Nach dem Faraday’schen Gesetz der Elektrolyse korreliert bei dem Messprinzip die Ladungsmenge mit der elektrolysierten Wassermasse. Jedoch bedarf es in der heutigen Zeit einer Validierung der Sensoren, weil durch gezielte Miniaturisierung weniger aktive Fläche vorhanden ist und somit das Faraday’sche Gesetz nicht vollständig anwendbar ist. In dieser Arbeit wurden coulometrische Sensoren mit einer planaren Elektrodenstruktur hinsichtlich der Einflüsse von unterschiedlichen Gasen, der Gastemperatur und dem -druck untersucht. Zusätzlich wurde eine neuartige Sensorbeschichtung basierend auf einer ionischen Flüssigkeit getestet. Des Weiteren wurde ein Messgerät für die abgestufte Bestimmung der Materialfeuchte und Wasseraktivität entwickelt und dessen messtechnischer Einsatz untersucht.