Rotating blades, which are the most critical components of any turbo-machinery, need to be designed to withstand forced vibrations due to accidental tip rub impact against inner surface of casing. These vibrations are typically dependent on operating conditions and geometric parameters. In the current study, a rotor test rig with a maximum tip speed capability of 144 km/hr has been developed for studying the dynamic behavior of representative jet engine compressor blades actuated by the closure of clearance between the tip of a given rotating blade and a sector of the inner lining of the casing. Ten different blade profiles are chosen in the present research. The blades are obtained by lofting NACA GOE123 airfoil cross-section along different stacking axes. Rotor test rigs which simulate transient dynamic events require high frequency data acquisition systems like slip ring arrangement or telemetric transmission. While slip rings introduce noise into the signal, the telemetric transmission works out to be rather expensive. To circumvent the stated shortcomings of data acquisition systems, a novel rotor-mounted data acquisition system has been implemented here which captures dynamic strains in vibrating blades during operation. The current data acquisition system can store data for duration of five seconds with a sampling rate of 35 kHz. It has been calibrated with four standard tests, and provides a simple and efficient mode of data capturing. Three blades with airfoil sections (a flat beam-type blade of uniform rectangular cross-section, a blade with twisted cross-sections stacked along a straight line, and a blade similar to the latter but with a curved stacking axis) are tested under controlled rub conditions at four different speeds. The maximum test speed is restricted to 800 rpm for reasons of safety although the set-up is designed to operate up to a maximum speed of 2000 rpm. For each of the rotor speeds, a blade is tested for three to four different stagger angles in the range of 0o-30o. By plotting the RMS values of measured dynamic responses with respect to stagger angle for a given rotor speed, it has been observed, perhaps for the first time in published literature, that a stagger angle of around 20o yields the maximum RMS value of strain response. A major objective of the current study has been to utilize the data generated in the tip rub impact tests for validating a predictive numerical model of the test set-up using explicit finite element analysis. To this end, a finite element model of the rotor rig inclusive of a rotor with two blades and the static frame structure is developed and analyzed using an explicit LS-DYNA solver. This model is calibrated with the test results of the three blade designs described above. In particular, it has been shown that the frequency contents of the measured dynamic strain responses agree quite well with frequencies obtained from the numerically computed responses. It has been found in the experimental responses that a given blade vibrates with two main frequencies: one corresponding to the first natural frequency of the rotor-blade system during the tip-rubbing phase (which lasts until the blade tip is in contact with the rub element which is a sector of the circular casing), and another corresponding to the first natural frequency of the blade when it vibrates freely without its tip being in contact with the rub-liner of the casing. A shortcoming of the current modeling approach is its inability to realistically represent the damping behaviors observed in the tests. For reasons of computational efficiency and consistent with the fact that there was no perceptible damage in the tested blades, an elastic constitutive behavior is specified for the blades, while the sacrificial PVC rub-liner is assumed to behave elasto-plastically. A limited study has also been carried out by assigning an elasto-plastic constitutive model to one of the blades previously represented with elastic properties only, and although incipient yielding is observed in a highly localized region at the tip of a blade (which can also be a numerical artifact), the responses under the two material behavior considerations (i.e. elastic and elasto-plastic) are found to be nearly same. Finally, this validated modeling approach is applied to the study of blades of ten distinct geometric profiles (including the three configurations already considered) at a speed of 800 rpm and the resonant speed of a given blade. Comparisons are made between the relevant responses (such as time-histories of root strain, shaft torque, blade axial displacement, bearing load and rub force) of nine blades with airfoil cross-sections (leaving aside the results for the first blade of rectangular cross-section which is only of academic interest). Based on this study, of all the blade designs, it has been found that the curve-stacked airfoils exhibit better ‘Rub-tolerant’ behavior. Both experimental and simulation results have predominantly proven the fact that adding curvature to a straight stacked blade through curve-stacked or bow result in reducing the rub induced vibration. While sweep and bow provide some aerodynamic advantages, they are not much helpful in containing the vibrations to a sustainable extent.

The diploma thesis focuses on analysing the current Railway Infrastructure Administration methodology for designing the sleeper substructure concerning the construction's deformation resistance, its comparison with the multi-layered method, which is used in the road engineering and finite element method. It deals with various methodologies of determining the deformation resistance of the track substructure.

In der vorliegenden Arbeit werden Holzwerkstoffe im statischen Biegeversuch und im Schlagbiegeversuch vergleichend geprüft. Ausgewählte Holzwerkstoffe werden thermisch geschädigt, zudem wird eine relevante Kerbgeometrie geprüft. Ziel der Untersuchungen ist die Eignung verschiedenartiger Werkstoffe für den Einsatz in sicherheitsrelevanten Anwendungen mit Schlagbelastungen zu prüfen. Hierzu werden zunächst die Grundlagen der instrumentierten Schlagprüfung und der Holzwerkstoffe erarbeitet. Der Stand der Technik wird dargelegt und bereits durchgeführte Studien werden analysiert. Darauf aufbauend wird eine eigene Prüfeinrichtung zur zeitlich hoch aufgelösten Kraft-Beschleunigungs-Messung beim Schlagversuch entwickelt. Diese wird anhand verschiedener Methoden auf ihre Eignung und die Messwerte auf Plausibilität geprüft. Darüber hinaus wird ein statistisches Verfahren zur Überprüfung auf ausreichende Stichprobengröße entwickelt und auf die durchgeführten Messungen angewendet. Anhand der unter statischer und schlagartiger Biegebeanspruchung ermittelten charakteristischen Größen, wird ein Klassenmodell zum Werkstoffvergleich und zur Werkstoffauswahl vorgeschlagen. Dieses umfasst integral die mechanische Leistungsfähigkeit der geprüften Holzwerkstoffe und ist für weitere Holzwerkstoffe anwendbar. Abschließend wird, aufbauend auf den gewonnenen Erkenntnissen, ein Konzept für die Bauteilprüfung unter Schlagbelastung für weiterführende Untersuchungen vorgeschlagen. / In the present work wood-based materials are compared under static bending load and impact bending load. Several thermal stress conditions are applied to selected materials, furthermore one relevant notch geometry is tested. The objective of these tests is to investigate the suitability of distinct wood materials for security relevant applications with the occurrence of impact loads. For this purpose the basics of instrumented impact testing and wood-based materials are acquired. The state of the technology and a comprehensive analysis of original studies are subsequently presented. On this basis an own impact pendulum was developed to allow force-acceleration measurement with high sample rates. The apparatus is validated by several methods and the achieved signals are tested for plausibility. A general approach of testing for adequate sample size is implemented and applied to the tested samples. Based on the characteristic values of the static bending and impact bending tests a classification model for material selection and comparison is proposed. The classification model is an integral approach for mechanical performance assessment of wood-based materials. In conclusion a method for impact testing of components (in future studies) is introduced.

Denna rapport inleds med övergripande genomgång av dagens gällande regelverk, Eurokod, medförklaring av olika begrepp som är relaterade till ämnet robusthet. Det görs en genomgång av huren byggnadskonstruktör bör beakta robustheten med förslag vid olika dimensioneringssituationerenligt norm. Eftersom normen inte alltid är tydlig, så redovisas en tolkning av normen (inkl. EKS11) i enlighet med fib (2012). Vidare så förtydligas även innebörden av konsekvensklasser, riskanalyser,utformning och dimensionering av förband och dragband enligt norm. I dettaexamensarbete redogörs också för de egenskaper som är viktiga för att bärverk ska kunna motståexceptionella förhållanden. Beräkningsexempel ges, med förslag på utformning och placering avförband för att uppnå en viss robusthet enligt norm. Dagens regelverk är många gångerbristfälliga och oklara. Exempelvis finns ingen dimensioneringsprocedur för hur en tillräckligrobusthet uppnås, vilket nödvändigtvis inte alltid är den minimala robustheten som normen ger.Det framgår heller inte hur bärverken bör utformas för att uppnå robusthet och redundans,speciellt för prefabricerade element-, där tillräcklig robusthet många gånger kan vara svårt elleromöjligt att uppnå. Normens dimensioneringssituationer grundar sig på statiska lastmodeller ochhuruvida dessa ger tillräcklig robusthet eller inte, läggs det ingen fokus på. Robusthetens storlekbaserar sig mer eller mindre på vedertagna schablonmässiga värden. En nackdel med detta äratt förutsättningar i byggnader kan förändras med tiden vilket kan leda till att dagensdimensionering blir otillräcklig. Detta belyser faran med att vara nöjd med dagens förenkladedimensioneringsverktyg, eftersom den bakomliggande fysiken då lätt kommer i skymundan, elleri värsta fall, faller i glömska. Ett exempel på detta är dimensionering av väsentliga bärverk (keyelement)som är avgörande för byggnadens stabilitet eller för att motverka fortskridande rasenligt SS-EN 1991-1-7. Väsentliga bärverk dimensioneras för en statiskt jämnt utbredd last på34 kN/m² som är ett uppskattat värde utifrån en olyckshändelse med en gasexplosion i RonanPoint (Storbritannien). Värdet härstammar ifrån värdet 5 psi (gasol/hushållsgas kan ge ensprängkraft på 2,5 psi) och man kan fundera på om detta värde är lämpligt att använda i Sverige,då nästan inga gasspisar används i bostäder idag. I detta examensarbete beskrivs övergripandebärverkets dynamiska respons. Det är vanligt att byggnadskonstruktörer många gånger intebesitter kunskaper om dynamiska laster, bärverkens dynamiska respons och ibland icke-linjäraanalyser. Exceptionell last som är ett samlingsnamn för flera olyckslaster så som explosion,påkörning (från fordon, tåg, fartyg etc.), brand, häftiga helikopterlandningar etc. I dettaexamensarbete har valts att lägga fokus på okända olyckslaster och en känd, vanligtförekommande olyckslast (påkörningslast). / This report begins with an overall review of the current regulations, Eurocode, and explanations ofvarious concepts related to the topic of robustness. A review of how a building designer shouldconsider the robustness with proposals for different design situations according to the guidelines isalso presented. Since the guidelines are not always clear, an interpretation of its application (incl.EKS 11) in accordance with fib (2012) is given. Furthermore, the meaning of consequence classes,risk analyzes, design of tension ties is clarified. In this thesis it is discussed what properties areimportant for the structures to withstand exceptional loads. Calculation examples and placement oftension ties to achieve a certain robustness are presented. Current regulations are often insufficientand unclear. For example, there is no procedure for how to achieve enough robustness, which isnot always the minimum robustness that the code prescribes. It is also not clear how the structuresshould be designed to achieve robustness and redundancy, especially for prefabricated elements,where enough robustness often can be difficult or impossible to achieve. The current code is basedon static load models, and whether they provide enough robustness are not considered. The robustnessis based on accepted code values. One disadvantage is that conditions in buildings can changeover time, which can cause current design methods to be insufficient. This highlights the danger ofbeing satisfied with current simplified codes and guidelines, since the underlying physics can easilyfall into oblivion. An example of this is the design of key elements that are crucial for the stabilityof buildings or to withstand progressive collapse according to SS-EN 1991-1-7. Key elementsare designed for a statically uniformly distributed load of 34 kN/m², which is an estimatedvalue from an accident, where the value reflects the explosion load from a gas explosion inRonan Point (United Kingdom). The value stands for 5 psi and one can wonder if this value issuitable to use in Sweden, since almost no gas stoves are used anymore in housing today. Thisthesis describes overall the dynamic response of a structure. It is common that building designersoften do not have knowledge of dynamic loads, the dynamic response and sometimes non-linearanalyzes. Exceptional load is a collective name for several accident loads such as explosion,collision (from vehicles, trains, ships etc.), fire, violent helicopter landings etc. In this thesisit is chosen to focus on unknown accident loads and one com-mon, known accident load (impactload.