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Rotating Euler-Bernoulli beams and non-homogeneous Timoshenko beams are widely used to model important engineering structures. Hence the vibration analyses of these beams are an important problem from a structural dynamics point of view. The governing differential equations of both these type of beams do not yield any simple closed form solutions, hence we look for the inverse problem approach in determining the beam property variations given certain solutions. Firstly, we look for a rotating beam, with pinned-free boundary conditions, whose eigenpair (frequency and mode-shape) is same as that of a uniform non-rotating beam for a particular mode. It is seen that for any given mode, there exists a flexural stiffness function (FSF) for which the ith mode eigenpair of a rotating beam with uniform mass distribution, is identical to that of a corresponding non-rotating beam with same length and mass distribution. Inserting these derived FSF's in a finite element code for a rotating pinned-free beam, the frequencies and mode shapes of a non-rotating pinned-free beam are obtained. For the first mode, a physically realistic equivalent rotating beam is possible, but for higher modes, the FSF has internal singularities. Strategies for addressing these singularities in the FSF for finite element analysis are provided. The proposed functions can be used as test functions for rotating beam codes and also for targeted destiffening of rotating beams. Secondly, we study the free vibration of rotating Euler-Bernoulli beams, under cantilever boundary condition. For certain polynomial variations of the mass per unit length and the flexural stiffness, there exists a fundamental closed form solution to the fourth order governing differential equation. It is found that there are an infinite number of rotating beams, with various mass per unit length variations and flexural stiffness distributions, which share the same fundamental frequency and mode shape. The derived flexural stiffness polynomial functions are used as test functions for rotating beam numerical codes. They are also used to design rotating cantilever beams which may be required to vibrate with a particular frequency. Thirdly, we study the free vibration of non-homogeneous Timoshenko beams, under fixed-fixed and fixed-hinged boundary conditions. For certain polynomial variations of the material mass density, elastic modulus and shear modulus, there exists a fundamental closed form solution to the coupled second order governing differential equations. It is found that there are an infinite number of non-homogeneous Timoshenko beams, with various material mass density, elastic modulus and shear modulus distributions, which share the same fundamental frequency and mode shape. They can be used to design non-homogeneous Timoshenko beams which may be required for certain engineering applications.

Submitted by Fabio Sobreira Campos da Costa (fabio.sobreira@ufpe.br) on 2016-04-13T12:14:28Z No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) Henrique Azevedo - Tese de Mestrado - Finalizada_Rev13_Hen_Alex_Nad_Rob_ABNT_Gus_Bib-1.pdf: 2536238 bytes, checksum: 092410d49ebfec82ff6f89b7a23f93e3 (MD5) / Made available in DSpace on 2016-04-13T12:14:28Z (GMT). No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) Henrique Azevedo - Tese de Mestrado - Finalizada_Rev13_Hen_Alex_Nad_Rob_ABNT_Gus_Bib-1.pdf: 2536238 bytes, checksum: 092410d49ebfec82ff6f89b7a23f93e3 (MD5) Previous issue date: 2015-08-28 / Desde a década de 1980, a tecnologia de energia eólica sofreu um imenso crescimento em relação tanto ao tamanho da turbina quanto à capacidade instalada a nível mundial. Como a demanda por turbinas eólicas de grande escala e de custo mais baixos de operação e manutenção continua a crescer, o interesse nos sistemas de monitoramento de condição (CMS, do inglês Condition Monitoring System) tem aumentado rapidamente. Os principais componentes (MC, do inglês Main Components) das turbinas eólicas são o foco de praticamente todos CMS já que eles provocam um elevado custo de reparo e tempo de parada. Entretanto, uma grande parte das falhas em MC é causada por danos secundários devido a uma falha de um subcomponente. O objetivo deste trabalho é apresentar e propor um método de análise para identificar defeitos em componentes principais ou subcomponentes de uma turbina eólica. O método de análise proposto se baseia em técnicas de sinais temporais de vibração, nas transformadas rápidas de Fourier e análises envelope obtidas através da transformada de Hilbert. A aplicação do método, em uma turbina eólica instalada em um parque eólico real, permitiu a identificação, com sucesso, de um defeito no rolamento, o qual foi substituído confirmando a falha. / Since the decade of 1980s, wind energy technology has undergone tremendous growth over both turbine size and worldwide installed capacity. As the demand for wind turbines of large-scale and lower cost of operation and maintenance continues to grow, interest in condition monitoring system (CMS) has increased rapidly. The main components (MC) of the wind turbines are the focus of almost all CMS since they cause a high repair cost and downtime. However, a large portion of the MC faults are caused by secondary damages due to a subcomponent failure. The objective of this work is to present and propose a method of analysis to identify defects in major components or subcomponents of a wind turbine. The proposed analysis method is based on time wave analysis, fast Fourier transforms analysis and envelope analysis through Hilbert transforms. The application of the method in a wind turbine installed in a real wind farm, identified a bearing defect successfully, which was replaced confirming the failure.

The doctoral thesis focuses on a Vold-Kalman filter (VKF). Theoretical part describes properties of VKF and other order tracking methods, namely computed order tracking (COT) and Gabor order tracking (GOT). It also characterizes requirements for rotational speed measurements as one of the key elements for correct functionality of VKF. Practical part depicts own filter implementation and its properties. Main stress is put on computational efficiency, that is in result better than in available codes. Thesis also points out possible issues with numerical instabilities within calculation caused by limited dynamic range of double data type. This is solved by restricting the inputs to prevent the instabilities. Restriction is applied also to cases where the result is numerically correct but unusable. Following part extends the comparison with methods STFT, COT and GOT, where benefits of VKF for nonstationary conditions are shown. The last section shows given information used on simulated signals. This is then applied to show mentioned techniques on experimental data, for instance from turbo engine or electric motor, where the ability of VKF in checking the accordance between speed profile and vibration data is illustrated.

This diploma thesis contains a summary of the general information about the torsion vibration of the crankshaft. The main task is to prepare a flexible model of the crankshaft in the FEM program ANSYS and the subsequent export into the MBS ADAMS / Engine. According to parameters the model of four-cylinder line tractor engine with flexible crankshaft is built. Crank mechanism is analyzed to determine the natural frequencies and natural modes. Finally the results are evaluated and compared with analytical calculations.

The choice of the topic addressed in this thesis aims to improve the service and maintenance on ceramic ball bearings in a specific test dynamometer and through an engineering approach develop tools for condition monitoring. The company connected to this thesis, AVL, is the world's largest privately owned company for development, simulation and testing technology of powertrains for passenger cars, trucks and large engines. Engine testing is a critical part of the business at AVL Sweden and unexpected bearing failure can result in long repair times and great economic losses due to loss of the testing time. In short terms, the methodological approach followed the following steps; first a thorough information retrieval regarding bearings and analysis was conducted. The search was deepened around areas such as hybrid ball bearings, bearing failure mechanisms, bearing defect frequencies, signal analysis and condition monitoring. After this a table for bearing damage detection was developed and a “step by step” guidance for condition monitoring. The tools where afterwards verified by simple testing to detect complications within the chosen system. The existing condition monitoring system that is used today revealed weaknesses as it lacked the feature of taking preventive measures. The system that is based on temperature measurements isn’t satisfactory enough, especially when it’s missing visual clarity. Service and maintenance according to specifications from the manufacturer should be scheduled to ensure operational and guarantees. Currently mounted accelerometers on the housing of the Dynas3 engine should be connected for collecting data and the total sum of energy should be calculated for simple monitoring of historical progression. This should be done by following the guidance in order to ensure proper data acquisition. The best way to implement condition monitoring showed to be by performing multi-parameter monitoring. The design of the condition monitoring system is highly connected to what to monitor and at what stage. One main consideration to keep in mind is that it’s very rare that manufacturing defects are the reason for bearing failure. Instead it derives from improper storage, transport, handling or dimensional errors and even in some cases by improperly implemented force analysis prior to bearing selection. / Huvudämnet som behandlas i detta examensarbete syftar till att förbättra service och underhåll på keramiska kullager i en viss testdynamometer och genom ett ingenjörsmässigt tillvägagångsätt utveckla verktyg för tillståndsövervakning. Företaget som är ansluten till detta examensarbete är AVL som är världens största privatägda företag för utveckling, simulering och testteknik för drivlinor för personbilar, lastbilar och stora motorer. Motorprovning är en viktig del av verksamheten vid AVL Sverige, och ett oväntat lagerhaveri kan leda till långa reparationstider och stora ekonomiska förluster på grund av utebliven test tid. I korta termer följde den metod som använts följande steg, först genomfördes en grundlig informationssökning om lager och tillhörande analyser. Efter det fördjupades sökande kring områden som hybrida kullager, lagerskademekanismer, frekvenser kopplade till lagerskador, signalanalys och tillståndsövervakning. Efter detta framställdes en tabell för detektering av lagerskador, samt en ”steg för steg” guide för tillståndsövervakning. Verktygen för tillståndsövervakning kontrolleras efteråt, genom att enkla tester genomfördes för att upptäcka komplikationer inom det valda systemet. Det övervakningssystem som används idag avslöjade svagheter genom att sakna funktionen att vidta förebyggande åtgärder. System som är baserat på temperaturmätningar är inte tillräckligt tillfredsställande, speciellt när det saknar en visuell tydlighet. Den service och underhåll som enligt tillverkarens föreskrifter påvisas bör planeras för att säkerställa drift och garantier. Nuvarande monterade accelerometrar fästa vid motorhöljet bör anslutas för att insamla data, och den totala summan av energin bör beräknas för en enkel övervakning av det historiska utvecklingsförloppet. Detta bör göras genom att följa de riktlinjer som framställts för att säkerställa korrekt datainsamling. Det bäst passande sättet att genomföra tillståndsövervakning på i detta fall visade sig vara att utföra multiparameterövervakning. Framställningen av tillståndsövervakningssystemet är starkt förknippat med vad som skall övervakas och i vilket skede. En huvudsaklig bidragande faktor att komma ihåg är att det är mycket ovanligt att fabrikationsfel är orsaken till lagerhaveri. Istället härstammar haveriet från felaktig förvaring, transportering, hantering eller dimensioneringsfel och i vissa fall av felaktigt genomförd kraftanalys inför lagerval.

<p>U ovoj disertaciji, izvršena su teorijska i eksperimentalna istraživanja dinamičkog onašanja jezgra visokih zgrada. Model je zasnovan na Vlasovoj teoriji tankozidnih nosača, kao i na metodi prenosnih matrica. Jezgro se tretira kao tankozidni nosač otvorenog poprečnog preseka, koji je na dnu uklješten u temeljnu ploču, dok je na vrhu&nbsp; slobodan.&nbsp; Duž&nbsp; ose&nbsp; smicanja,&nbsp; jezgro&nbsp; je&nbsp; podeljeno&nbsp; na&nbsp; čvorove&nbsp; u&nbsp; nivoima spratova&nbsp; u&nbsp; kojima&nbsp; su&nbsp; redukovane&nbsp; mase.&nbsp; Poseban&nbsp; naglasak&nbsp; je&nbsp; stavljen&nbsp; na&nbsp; analizu uticaja poprečnih greda, međuspratnih ploča, kao i načinu oslanjanja međuspratnih ploča po spoljašnjoj konturi na dinamičke karakteristike jezgra. Razvijeni&nbsp; numerički&nbsp; postupak&nbsp; je&nbsp; primenjen&nbsp; na&nbsp; armiranobetonskom&nbsp; jezgru petnaestospratne zgrade, koja je analizirana ranijeu radovima mnogih autora. U tu svrhu korišćen je računarski program TWBEIG, napisan primenom Visual Fortran programskog jezika. Analize su urađene i MKE, a dobijeni rezultati su upoređeni. Vrednosti sopstvenih frekvencija pokazuju dobro slaganje.<br />Ovaj rad daje detalje i o eksperimentalnoj studiji&nbsp; u kojoj se primenjuje pleksiglas model u cilju pružanja eksperimentalnih podataka zaproveru tačnosti i pouzdanosti numeričkih&nbsp; rezultata.&nbsp; Dobijeni&nbsp; rezultati&nbsp; su&nbsp; takođe&nbsp; upoređeni&nbsp; sa&nbsp; rezultatima dobijenim TWBEIG računarskim programom, kao i MKE.<br />Predstavljeni&nbsp; numerički&nbsp; metod&nbsp; nudi&nbsp; solidnu&nbsp; osnovu&nbsp; za&nbsp; formiranje&nbsp; jednostavnog modela&nbsp; proračuna,&nbsp; a&nbsp; ipak&nbsp; obezbeđuje&nbsp; odgovarajući&nbsp; nivo&nbsp; preciznosti.&nbsp; Predloženi postupak&nbsp; može&nbsp; biti&nbsp; korišćen&nbsp; i&nbsp; u&nbsp; fazi&nbsp; prethodne&nbsp; analize&nbsp; zgrade,&nbsp; kao&nbsp; i&nbsp; u&nbsp; fazi konačnog projektovanja.</p> / <p>In this dissertation, a theoretical and experimental study of the dynamic behaviour<br />of&nbsp; the&nbsp; tall&nbsp; buildings&nbsp; core&nbsp; was&nbsp; carried&nbsp; out.&nbsp; The&nbsp; model&nbsp; is&nbsp; based&nbsp; on&nbsp; the&nbsp; Vlasov&#39;s<br />theory of thin-walled beams and the transfer matrixmethod. The core is treated as<br />a thin&nbsp; wall-walled, open cross section cantilever beam. Along the shear axis the<br />core&nbsp; is&nbsp; divided&nbsp; into&nbsp; nodes,&nbsp; in&nbsp; the&nbsp; level&nbsp; of&nbsp; the&nbsp; floors,&nbsp; in&nbsp; which&nbsp; the&nbsp; masses&nbsp; are<br />reduced.&nbsp; Special&nbsp; emphasis&nbsp; was&nbsp; given&nbsp; to&nbsp; the&nbsp; analysis of&nbsp; the&nbsp; influence,&nbsp; of&nbsp; lintel<br />beams,&nbsp; floor&nbsp; slabs,&nbsp; as&nbsp; well&nbsp; as&nbsp; the&nbsp; type&nbsp; of&nbsp; restraints&nbsp; along&nbsp; the&nbsp; outer&nbsp; edge&nbsp; of&nbsp; the<br />floor slabs, on the dynamic characteristics of the core.<br />The&nbsp; developed&nbsp; numerical&nbsp; procedure&nbsp; was&nbsp; applied&nbsp; to&nbsp; the&nbsp; fifteen-storey&nbsp; reinforced<br />concrete core tall building, analyzed previously inthe papers of many authors. For<br />this&nbsp; purpose,&nbsp; the&nbsp; computer&nbsp; program&nbsp; TWBEIG&nbsp; was&nbsp; used, written&nbsp; using&nbsp; Visual<br />Fortran programming language. The analyses were also performed with FEM and<br />subsequently the results were compared. The values&nbsp; of natural frequencies show<br />significant agreement. This&nbsp; paper&nbsp; presents&nbsp; details&nbsp; about&nbsp; the&nbsp; experimental&nbsp; study&nbsp; which&nbsp; applies&nbsp; the plexiglas model in order to provide experimental data to verify the accuracy and reliability of the numerical results. The results are also compared with the results obtained with the TWBEIG computer program, as well&nbsp; as with FEM. The values of frequencies show reasonable agreement.<br />The proposed numerical&nbsp; method offers a solid base&nbsp; for the creation of a&nbsp; simple<br />calculation model, yet provides the appropriate level of precision. It can be either<br />used for preliminary analysis or for the final design.</p>

The functioning of maxillofacial complex as a one unit is an important condition of fulfilling several functions connected with this area of human body. A maxillofacial region and other parts of the body are connected through occlusion, one of the basic characteristics of which is occlusal plane. According to the number of researchers, 3D orientation of occlusal plane, its shape and possible deformation can have an influence on other anatomic structures via a system of a complex neuromuscular reactions. This theory assumes that the adjustment of occlusal plane inclination causes redistribution and redirection of the chewing forces in the adjacent structures which will subsequently manifest itself in the adjustment of the tension of different muscles. Aim The aim of an experimental part of the research was to define the influence of occlusal plane inclination on the function of maxillofacial region with the focus of jaw joints and chewing muscles. The next goal was to determine the figures of sagittal and frontal inclination of occlusal plane which can be considered as physiological. Patients and Methods The research was based on the examination of 87 people of both genders, different age groups with a complete set of teeth and without chronic diseases. The participants were divided in two groups...

Overhead cranes and rail mountings in the wall are subjected to vibrations whenlifting equipment. The purpose of this thesis is to review if the minimum frequencyvalue for cranes, according to the ISO 22986:2007 standard is conservative whendesigning overhead traveling cranes. To succeed with the purpose of this thesis,the objective is to compare measured to simulated vibration data on an overheadtraveling cranes. MSC Nastran and MATLAB were used to compare the measureddata to the simulated model. Experimental vibration data on a crane at Volvo CEwas obtained by using the program Siemens Test Lab. The experimental vibrationdata were correlated to the finite element model, by using the modal assurance criteriabetween the mode shapes of the experimental and finite element models. Thefinite element model was used to conduct a study which resembles the operationmovements of the crane. The result of the load investigation where a trolley movesalong the girder on the overhead crane, showed that the ISO 22986:2007 standard isnot conservative in regards to the displacement due to movements during operationof the crane, since the standard does not consider 13% of the displacement whichis due to the torsional modes. When considering an extreme case where the entireload of the trolley was placed on one side of the girder 51% of the displacement wasin response to the torsional modes in this study. Thereby, the minimum frequencyallowed on the overhead cranes does not consider the torsional vibration’s contributionwhich have a significant impact on the displacement when the trolley movesover the girder. / Traverser och traversrälar som är monterade i väggen, utsätts för vibrationer när delyfter utrustning. Syftet med detta examensarbete är att granska om lägsta frekvensenför traverser, enligt ISO 22986:2007 standarden är konservativ när den användssom underlag för att designa traverskranar. För att kunna undersöka detta behöveruppmätta vibrationer från en fysisk travers jämföras med vibrationsdata från enFinita-elementmodell av en travers för att validera modellen. MSC Nastran ochMATLAB användes för att jämföra uppmätta data med den simulerade modellen.Vibrationsdata uppmättes på en travers på Volvo CE Braås. För denna mätninganvändes programvaran Siemens Test Lab. Den experimentella vibrationsdatanvaliderades emot finita-elementmodellen genom att jämföra "modal assurance criterion"för den experimentellamodellen och finita-elementmodellen. Den valideradefinita-elementmodellen användes för att utföra en studie av traverskranen där driftsrörelserav kranen simuleras. Resultatet av lastutredningen där en tralla rör siglängs balken på traversen, visade att ISO 22986:2007 standarden inte är konservativmed avseende på förskjutningen på grund av rörelser. I de studerade fallen tarstandarden inte hänsyn till 13% av förskjutningen som beror på vridsvängningarna.När extremfallet analyseras där hela lasten av trallan placerades på ena sidan avtraversbalken var 51% av förskjutningen på grund av vridningssvängningarna. Denlägsta tillåtna frekvensen på traverskranarna tar därmed inte hänsyn till torsionsvibrationernasbidrag som har en betydande inverkan på förskjutningen när vagnenrör sig över balken.