TY - JOUR A1 - Mehling, Simon A1 - Schnabel, Tobias A1 - Londong, Jörg T1 - Investigation on Energetic Efficiency of Reactor Systems for Oxidation of Micro-Pollutants by Immobilized Active Titanium Dioxide Photocatalysis JF - Water N2 - In this work, the degradation performance for the photocatalytic oxidation of eight micropollutants (amisulpride, benzotriazole, candesartan, carbamazepine, diclofenac, gabapentin, methlybenzotriazole, and metoprolol) within real secondary effluent was investigated using three different reactor designs. For all reactor types, the influence of irradiation power on its reaction rate and energetic efficiency was investigated. Flat cell and batch reactor showed almost similar substance specific degradation behavior. Within the immersion rotary body reactor, benzotriazole and methylbenzotriazole showed a significantly lower degradation affinity. The flat cell reactor achieved the highest mean degradation rate, with half time values ranging from 5 to 64 min with a mean of 18 min, due to its high catalysts surface to hydraulic volume ratio. The EE/O values were calculated for all micro-pollutants as well as the mean degradation rate constant of each experimental step. The lowest substance specific energy per order (EE/O) values of 5 kWh/m3 were measured for benzotriazole within the batch reactor. The batch reactor also reached the lowest mean values (11.8–15.9 kWh/m3) followed by the flat cell reactor (21.0–37.0 kWh/m3) and immersion rotary body reactor (23.9–41.0 kWh/m3). Catalyst arrangement and irradiation power were identified as major influences on the energetic performance of the reactors. Low radiation intensities as well as the use of submerged catalyst arrangement allowed a reduction in energy demand by a factor of 3–4. A treatment according to existing treatment goals of wastewater treatment plants (80% total degradation) was achieved using the batch reactor with a calculated energy demand of 7000 Wh/m3. KW - Fotokatalyse KW - Abwasserreinigung KW - photocatalysis KW - micro-pollutant treatment KW - titanium dioxid KW - reactor design KW - energy per order KW - OA-Publikationsfonds2022 Y1 - 2022 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220912-47130 UR - https://www.mdpi.com/2073-4441/14/17/2681 VL - 2022 IS - Volume 14, issue 7, article 2681 SP - 1 EP - 15 PB - MDPI CY - Basel ER - TY - THES A1 - Habtemariam, Abinet Kifle T1 - Generalized Beam Theory for the analysis of thin-walled circular pipe members N2 - The detailed structural analysis of thin-walled circular pipe members often requires the use of a shell or solid-based finite element method. Although these methods provide a very good approximation of the deformations, they require a higher degree of discretization which causes high computational costs. On the other hand, the analysis of thin-walled circular pipe members based on classical beam theories is easy to implement and needs much less computation time, however, they are limited in their ability to approximate the deformations as they cannot consider the deformation of the cross-section. This dissertation focuses on the study of the Generalized Beam Theory (GBT) which is both accurate and efficient in analyzing thin-walled members. This theory is based on the separation of variables in which the displacement field is expressed as a combination of predetermined deformation modes related to the cross-section, and unknown amplitude functions defined on the beam's longitudinal axis. Although the GBT was initially developed for long straight members, through the consideration of complementary deformation modes, which amend the null transverse and shear membrane strain assumptions of the classical GBT, problems involving short members, pipe bends, and geometrical nonlinearity can also be analyzed using GBT. In this dissertation, the GBT formulation for the analysis of these problems is developed and the application and capabilities of the method are illustrated using several numerical examples. Furthermore, the displacement and stress field results of these examples are verified using an equivalent refined shell-based finite element model. The developed static and dynamic GBT formulations for curved thin-walled circular pipes are based on the linear kinematic description of the curved shell theory. In these formulations, the complex problem in pipe bends due to the strong coupling effect of the longitudinal bending, warping and the cross-sectional ovalization is handled precisely through the derivation of the coupling tensors between the considered GBT deformation modes. Similarly, the geometrically nonlinear GBT analysis is formulated for thin-walled circular pipes based on the nonlinear membrane kinematic equations. Here, the initial linear and quadratic stress and displacement tangent stiffness matrices are built using the third and fourth-order GBT deformation mode coupling tensors. Longitudinally, the formulation of the coupled GBT element stiffness and mass matrices are presented using a beam-based finite element formulation. Furthermore, the formulated GBT elements are tested for shear and membrane locking problems and the limitations of the formulations regarding the membrane locking problem are discussed. N2 - Eine detaillierte Strukturanalyse dünnwandiger, kreisförmiger Rohrelemente erfordert oft die Verwendung von Schalenelementen in der Finite Elemente Methode. Diese Methode ermöglicht eine sehr gute Approximation des Verformungszustandes, erfordert jedoch einen hohen Grad der Diskretisierung, welcher wiederum einen hohen Rechenaufwand verursacht. Eine alternative Methode hierzu basiert auf klassischen Balkentheorien, welche eine einfache Modellierung ermöglichen und wesentlich geringeren Rechenaufwand erfordern. Diese weisen jedoch Einschränkungen bei der Approximation von Verformungen auf, da Querschnittsverformungen nicht berücksichtigt werden können. Schwerpunkt dieser Dissertation ist eine Untersuchung der Verallgemeinerten Technischen Biegetheorie (VTB), die sowohl eine genaue als auch eine effiziente Analyse von dünnwandigen Tragwerkselementen ermöglicht. Diese Theorie basiert auf einer Trennung der Variablen, in der das Verschiebungsfeld als eine Kombination von vorbestimmten Verformungsmoden der Querschnitts und unbekannten Amplitudenfunktionen in Längsrichtung ausgedrückt wird. Obwohl die VTB ursprünglich für lange, gerade Elemente entwickelt wurde, können durch die Berücksichtigung komplementärer Verformungsmoden, welche die Null-Annahmen der klassischen VTB für Quer- und Schubmembrandehnung abändern, Probleme mit kurzen Elementen, Rohrbögen und geometrischer Nichtlinearität analysiert werden. In dieser Dissertation wird die VTB-Formulierung für die Analyse dieser Probleme entwickelt. Die Anwendung und Möglichkeiten der Methode werden anhand mehrerer numerischer Beispiele veranschaulicht, deren Verschiebungs- und Spannungsfeldanalysen anhand eines äquivalenten, verfeinerten, schalenbasierten Finite-Elemente-Modells verifiziert werden. Die entwickelten statischen und dynamischen VTB-Formulierungen für Rohrbogenelemente basieren auf der linearen kinematischen Beschreibung der Theorie gekrümmter Schalen. In diesen Formulierungen wird das komplexe Problem in Rohrbögen aufgrund des starken Kopplungseffekts der Längsbiegung, der Verwölbung und der Querschnittsovalisierung durch die Herleitung der Kopplungstensoren zwischen den betrachteten VTB-Verformungsmoden präzise behandelt. In ähnlicher Weise wird die geometrisch nichtlineare VTB-Analyse für gerade Rohrelemente auf der Grundlage der nichtlinearen kinematischen Membrangleichungen formuliert. Die anfänglichen linearen und quadratischen Spannungs- und Verschiebungs-Tangentensteifigkeitsmatrizen werden dabei unter Verwendung der VTB-Kopplungstensoren dritter und vierter Ordnung aufgebaut. In Längsrichtung wird die Formulierung der gekoppelten VTB-Element-Steifigkeits- und Massenmatrizen unter Verwendung einer balkenbasierten Finite-Elemente Formulierung dargestellt. Weiterhin werden die VTB-Elemente auf Schub- und Membran-Locking-Probleme getestet und die Einschränkungen der Formulierungen bezüglich des Membran-Locking-Problems diskutiert. T3 - ISM-Bericht // Institut für Strukturmechanik, Bauhaus-Universität Weimar - 2022,2 KW - Finite-Elemente-Methode KW - Dynamische Analyse KW - Generalized Beam Theory (GBT) KW - Finite Element Method KW - Dynamic Analysis KW - Geometrically nonlinear analysis KW - Curved thin-walled circular pipes Y1 - 2022 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220127-45723 ER - TY - JOUR A1 - Söbke, Heinrich A1 - Lück, Andrea T1 - Framing Algorithm-Driven Development of Sets of Objectives Using Elementary Interactions JF - Applied System Innovation N2 - Multi-criteria decision analysis (MCDA) is an established methodology to support the decision-making of multi-objective problems. For conducting an MCDA, in most cases, a set of objectives (SOO) is required, which consists of a hierarchical structure comprised of objectives, criteria, and indicators. The development of an SOO is usually based on moderated development processes requiring high organizational and cognitive effort from all stakeholders involved. This article proposes elementary interactions as a key paradigm of an algorithm-driven development process for an SOO that requires little moderation efforts. Elementary interactions are self-contained information requests that may be answered with little cognitive effort. The pairwise comparison of elements in the well-known analytical hierarchical process (AHP) is an example of an elementary interaction. Each elementary interaction in the development process presented contributes to the stepwise development of an SOO. Based on the hypothesis that an SOO may be developed exclusively using elementary interactions (EIs), a concept for a multi-user platform is proposed. Essential components of the platform are a Model Aggregator, an Elementary Interaction Stream Generator, a Participant Manager, and a Discussion Forum. While the latter component serves the professional exchange of the participants, the first three components are intended to be automatable by algorithms. The platform concept proposed has been evaluated partly in an explorative validation study demonstrating the general functionality of the algorithms outlined. In summary, the platform concept suggested demonstrates the potential to ease SOO development processes as the platform concept does not restrict the application domain; it is intended to work with little administration moderation efforts, and it supports the further development of an existing SOO in the event of changes in external conditions. The algorithm-driven development of SOOs proposed in this article may ease the development of MCDA applications and, thus, may have a positive effect on the spread of MCDA applications. KW - Multikriteria-Entscheidung KW - Multikriterielle Entscheidungsanalyse KW - multi-criteria decision analysis; KW - set of objectives KW - crowdsourcing KW - platform KW - elementary interaction KW - OA-Publikationsfonds2022 Y1 - 2022 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220713-46624 UR - https://www.mdpi.com/2571-5577/5/3/49 VL - 2022 IS - Volume 5, issue 3, article 49 SP - 1 EP - 20 PB - MDPI CY - Basel ER - TY - JOUR A1 - Söbke, Heinrich A1 - Lück, Andrea T1 - Framing Algorithm-Driven Development of Sets of Objectives Using Elementary Interactions JF - Applied System Innovation N2 - Multi-criteria decision analysis (MCDA) is an established methodology to support the decision-making of multi-objective problems. For conducting an MCDA, in most cases, a set of objectives (SOO) is required, which consists of a hierarchical structure comprised of objectives, criteria, and indicators. The development of an SOO is usually based on moderated development processes requiring high organizational and cognitive effort from all stakeholders involved. This article proposes elementary interactions as a key paradigm of an algorithm-driven development process for an SOO that requires little moderation efforts. Elementary interactions are self-contained information requests that may be answered with little cognitive effort. The pairwise comparison of elements in the well-known analytical hierarchical process (AHP) is an example of an elementary interaction. Each elementary interaction in the development process presented contributes to the stepwise development of an SOO. Based on the hypothesis that an SOO may be developed exclusively using elementary interactions (EIs), a concept for a multi-user platform is proposed. Essential components of the platform are a Model Aggregator, an Elementary Interaction Stream Generator, a Participant Manager, and a Discussion Forum. While the latter component serves the professional exchange of the participants, the first three components are intended to be automatable by algorithms. The platform concept proposed has been evaluated partly in an explorative validation study demonstrating the general functionality of the algorithms outlined. In summary, the platform concept suggested demonstrates the potential to ease SOO development processes as the platform concept does not restrict the application domain; it is intended to work with little administration moderation efforts, and it supports the further development of an existing SOO in the event of changes in external conditions. The algorithm-driven development of SOOs proposed in this article may ease the development of MCDA applications and, thus, may have a positive effect on the spread of MCDA applications. KW - Operations Research KW - multi-criteria decision analysis KW - elementary interaction KW - set of objectives KW - crowdsourcing KW - platform Y1 - 2022 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220524-46469 UR - https://www.mdpi.com/2571-5577/5/3/49 VL - 2022 IS - Volume 5, issue 49, article 49 SP - 1 EP - 21 PB - MDPI CY - Basel ER -