74 resultados para thin plate spline finite element method


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Työn tavoitteena oli luoda työkalu kestomagneettikoneiden roottoreiden väsymisen analysointia varten. Työkalu toteutettiin siten, että siihen voidaan liittää oikeasta koneesta mitattu kuormitusdata, sekä tarvittavat materiaalitiedot. Kuormitusdata muunnetaan työkalussa jännityshistoriaksi käyttämällä elementtimenetelmän avulla laskettavaa skaalauskerrointa. Kestoiän laskemiseen analyysityökalu käyttää jännitykseen perustuvaa menetelmää sekä rainflowmenetelmää ja Palmgren-Minerin kumulatiivista vauriosääntöä. Lisäksi työkalu tekee tutkittavalle tapaukselle Smithin väsymislujuuspiirroksen. Edellä mainittujen menetelmien lisäksi työn teoriaosassa esiteltiin väsymisanalyysimenetelmistä myös paikalliseen venymään perustuva menetelmä sekä murtumismekaniikka. Nämä menetelmät jäivät monimutkaisuutensa vuoksi toteuttamatta työkalussa. Väsymisanalyysityökalulla laskettiin kestoiät kahdelle esimerkkitapaukselle. Kummassakin tapauksessa saatiin tulokseksi ääretön kestoikä, mutta aksiaalivuokoneen roottorin dynaaminen varmuus oli pieni. Vaikka tulokset vaikuttavat järkeviltä, ne olisi vielä hyvä verifioida esimerkiksi kaupallisen ohjelmiston avulla täyden varmuuden saamiseksi.

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Sementti on yksi eniten maailmassa käytetty rakennusmateriaali ja Suomessa sementin valmistuksesta vastaa Finnsementti Oy kahden tehtaan voimin. Lappeenrannan tehtaalle investoitiin uusi uunilinja vuonna 2007, joka on aikansa kehittyneintä tekniikkaa. Järjes-telmän esilämmitysvaiheen laitteissa, erityisesti kalsinaattorissa, on esiintynyt luvattoman paljon plastisoitumista ja murtumia. Tässä työssä tutkittiin lämpötilan ja sen vaihtelun vaikutusta järjestelmässä syntyneisiin siirtymiin ja murtumiin. Työn alussa luotiin katsaus erilaisiin murtumisilmiöihin ja niiden syntyyn. Vuorauksessa käytettyihin tiilien käyttäytymistä tutkittiin myös, koska ne ovat olennainen osa esilämmi-tysjärjestelmää. Työn kokeellisessa osuudessa aluksi määriteltiin järjestelmässä käytetylle teräkselle lujuusominaisuudet tutkimalla mikrorakennetta sekä suorittamalla veto- että kovuuskokeet materiaalille. Toisessa osiossa mitattiin järjestelmän alasajon aikana tapah-tuneet siirtymät. Laskennallisessa osuudessa tutkittiin väsymismurtuman mahdollisuutta sekä määritettiin kuoressa esiintyvän särön vaikutusta puhkeamis- ja murtumiskuormituk-seen. FEM- analyysissä tarkasteltiin lämpötilan vaikutusta siirtymien suuruuksiin ja pyrittiin löytämään perusteluita, miksi rakenne on todellisuudessa siirtynyt eri suuntiin kuin alun perin oli tarkoitettu. Lisäksi analysoitiin FEM- mallit tiilihyllystä ja kalsinaattorin kuoren tukikehästä, joista tutkittiin lämpökuorman aiheuttamia jännityksiä. Materiaalin osalta selvisi, että kyseessä oli hyvin yleinen rakenneteräs S235 tai sitä vas-taava teräslaatu. Teräs ei ominaisuuksiltaan sovellu kuumiin olosuhteisiin, jonka vuoksi järjestelmässä käytettävän eristevuorauksen kunto on erityisen tärkeä rakenteen käyttöiän kannalta. Vuorauksen kunnosta riippuu, kuinka suuren lämpökuorman teräskuori saa. Väsymismurtuman mahdollisuus jäi minimaalisen pieneksi lämpötilan muutoksen vaiku-tuksesta. Analysoinnin tulosten perusteella voitiin todeta, että lämpötilan hitaasti mutta kohtalaisen suurella vaihteluvälillä sekä tiilien turpoamisen vaikutuksella on erittäin suuri merkitys järjestelmässä esiintyviin murtumiin.

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Direct-driven permanent magnet synchronous generator is one of the most promising topologies for megawatt-range wind power applications. The rotational speed of the direct-driven generator is very low compared with the traditional electrical machines. The low rotational speed requires high torque to produce megawatt-range power. The special features of the direct-driven generators caused by the low speed and high torque are discussed in this doctoral thesis. Low speed and high torque set high demands on the torque quality. The cogging torque and the load torque ripple must be as low as possible to prevent mechanical failures. In this doctoral thesis, various methods to improve the torque quality are compared with each other. The rotor surface shaping, magnet skew, magnet shaping, and the asymmetrical placement of magnets and stator slots are studied not only by means of torque quality, but also the effects on the electromagnetic performance and manufacturability of the machine are discussed. The heat transfer of the direct-driven generator must be designed to handle the copper losses of the stator winding carrying high current density and to keep the temperature of the magnets low enough. The cooling system of the direct-driven generator applying the doubly radial air cooling with numerous radial cooling ducts was modeled with a lumped-parameter-based thermal network. The performance of the cooling system was discussed during the steady and transient states. The effect of the number and width of radial cooling ducts was explored. The large number of radial cooling ducts drastically increases the impact of the stack end area effects, because the stator stack consists of numerous substacks. The effects of the radial cooling ducts on the effective axial length of the machine were studied by analyzing the crosssection of the machine in the axial direction. The method to compensate the magnet end area leakage was considered. The effect of the cooling ducts and the stack end area effects on the no-load voltages and inductances of the machine were explored by using numerical analysis tools based on the three-dimensional finite element method. The electrical efficiency of the permanent magnet machine with different control methods was estimated analytically over the whole speed and torque range. The electrical efficiencies achieved with the most common control methods were compared with each other. The stator voltage increase caused by the armature reaction was analyzed. The effect of inductance saturation as a function of load current was implemented to the analytical efficiency calculation.

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The aim of this study was to simulate blood flow in thoracic human aorta and understand the role of flow dynamics in the initialization and localization of atherosclerotic plaque in human thoracic aorta. The blood flow dynamics in idealized and realistic models of human thoracic aorta were numerically simulated in three idealized and two realistic thoracic aorta models. The idealized models of thoracic aorta were reconstructed with measurements available from literature, and the realistic models of thoracic aorta were constructed by image processing Computed Tomographic (CT) images. The CT images were made available by South Karelia Central Hospital in Lappeenranta. The reconstruction of thoracic aorta consisted of operations, such as contrast adjustment, image segmentations, and 3D surface rendering. Additional design operations were performed to make the aorta model compatible for the numerical method based computer code. The image processing and design operations were performed with specialized medical image processing software. Pulsatile pressure and velocity boundary conditions were deployed as inlet boundary conditions. The blood flow was assumed homogeneous and incompressible. The blood was assumed to be a Newtonian fluid. The simulations with idealized models of thoracic aorta were carried out with Finite Element Method based computer code, while the simulations with realistic models of thoracic aorta were carried out with Finite Volume Method based computer code. Simulations were carried out for four cardiac cycles. The distribution of flow, pressure and Wall Shear Stress (WSS) observed during the fourth cardiac cycle were extensively analyzed. The aim of carrying out the simulations with idealized model was to get an estimate of flow dynamics in a realistic aorta model. The motive behind the choice of three aorta models with distinct features was to understand the dependence of flow dynamics on aorta anatomy. Highly disturbed and nonuniform distribution of velocity and WSS was observed in aortic arch, near brachiocephalic, left common artery, and left subclavian artery. On the other hand, the WSS profiles at the roots of branches show significant differences with geometry variation of aorta and branches. The comparison of instantaneous WSS profiles revealed that the model with straight branching arteries had relatively lower WSS compared to that in the aorta model with curved branches. In addition to this, significant differences were observed in the spatial and temporal profiles of WSS, flow, and pressure. The study with idealized model was extended to study blood flow in thoracic aorta under the effects of hypertension and hypotension. One of the idealized aorta models was modified along with the boundary conditions to mimic the thoracic aorta under the effects of hypertension and hypotension. The results of simulations with realistic models extracted from CT scans demonstrated more realistic flow dynamics than that in the idealized models. During systole, the velocity in ascending aorta was skewed towards the outer wall of aortic arch. The flow develops secondary flow patterns as it moves downstream towards aortic arch. Unlike idealized models, the distribution of flow was nonplanar and heavily guided by the artery anatomy. Flow cavitation was observed in the aorta model which was imaged giving longer branches. This could not be properly observed in the model with imaging containing a shorter length for aortic branches. The flow circulation was also observed in the inner wall of the aortic arch. However, during the diastole, the flow profiles were almost flat and regular due the acceleration of flow at the inlet. The flow profiles were weakly turbulent during the flow reversal. The complex flow patterns caused a non-uniform distribution of WSS. High WSS was distributed at the junction of branches and aortic arch. Low WSS was distributed at the proximal part of the junction, while intermedium WSS was distributed in the distal part of the junction. The pulsatile nature of the inflow caused oscillating WSS at the branch entry region and inner curvature of aortic arch. Based on the WSS distribution in the realistic model, one of the aorta models was altered to induce artificial atherosclerotic plaque at the branch entry region and inner curvature of aortic arch. Atherosclerotic plaque causing 50% blockage of lumen was introduced in brachiocephalic artery, common carotid artery, left subclavian artery, and aortic arch. The aim of this part of the study was first to study the effect of stenosis on flow and WSS distribution, understand the effect of shape of atherosclerotic plaque on flow and WSS distribution, and finally to investigate the effect of lumen blockage severity on flow and WSS distributions. The results revealed that the distribution of WSS is significantly affected by plaque with mere 50% stenosis. The asymmetric shape of stenosis causes higher WSS in branching arteries than in the cases with symmetric plaque. The flow dynamics within thoracic aorta models has been extensively studied and reported here. The effects of pressure and arterial anatomy on the flow dynamic were investigated. The distribution of complex flow and WSS is correlated with the localization of atherosclerosis. With the available results we can conclude that the thoracic aorta, with complex anatomy is the most vulnerable artery for the localization and development of atherosclerosis. The flow dynamics and arterial anatomy play a role in the localization of atherosclerosis. The patient specific image based models can be used to diagnose the locations in the aorta vulnerable to the development of arterial diseases such as atherosclerosis.

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The aim of this thesis is to utilize the technology developed at LUT and to provide an easy tool for high-speed solid-rotor induction machine preliminary design. Computer aided design tool MathCAD has been chosen as the environment for realizing the calculation program. Four versions of the design program have been made depending on the motor rotor type. The first rotor type is an axially slitted solid-rotor with steel end rings. The next one is an axially slitted solid-rotor with copper end rings. The third machine type is a solid rotor with deep, rectangular copper bars and end rings (squirrel cage). And the last one is a solid-rotor with round copper bars and end rings (squirrel cage). Each type of rotor has its own specialties but a general thread of design is common. This paper follows the structure of the calculating program and explains some features and formulas. The attention is concentrated on the difference between laminated and solid-rotor machine design principles. There is no deep analysis of the calculation ways are presented. References for all solution methods appearing during the design procedure are given for more detailed studying. This thesis pays respect to the latest innovations in solid-rotor machines theory. Rotor ends’ analytical calculation follows the latest knowledge in this field. Correction factor for adjusting the rotor impedance is implemented. The purpose of the created design program is to calculate the preliminary dimensions of the machine according to initial data. Obtained results are not recommended for exact machine development. Further more detailed design should be done in a finite element method application. Hence, this thesis is a practical tool for the prior evaluating of the high-speed machine with different solid-rotor types parameters.

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The fatigue failure of structures under fluctuating loads in fillet weld joints raises a demand to determine the parameters related to this type of loading. In this study, the stress distribution in the susceptible area of weld toe and weld root in fillet welded models analyzed by finite element method applying FEMAP software. To avoid the geometrical singularity on the path of analytical stress analysis in the toe and root area of a weld model the effective notch stress approach applied by which a proper fictitious rounding that mostly depend on the material of structure is applied. The models with different weld toe waving width and radius are analyzed while the flank angle of weld varied in 45 and 30 degrees. The processed results shows that the waving compare to the straight weld toe makes differences in the value of stress and consequently the stress concentration factor between the tip and depth of the waves in the weld toe which helps to protect the crack of propagation and gives enough time and tools to be informed of the crack initiation in the structure during the periodical observation of structure. In the weld root study the analyses among the models with the welding penetration percentage from non-penetration to the full-penetration shows a slightly increase in the root area stress value which comparing with the stiffening effect of penetration conclude that the half-penetration can make an optimization between the stress increase and stiffening effect of deep penetration.

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Modern machine structures are often fabricated by welding. From a fatigue point of view, the structural details and especially, the welded details are the most prone to fatigue damage and failure. Design against fatigue requires information on the fatigue resistance of a structure’s critical details and the stress loads that act on each detail. Even though, dynamic simulation of flexible bodies is already current method for analyzing structures, obtaining the stress history of a structural detail during dynamic simulation is a challenging task; especially when the detail has a complex geometry. In particular, analyzing the stress history of every structural detail within a single finite element model can be overwhelming since the amount of nodal degrees of freedom needed in the model may require an impractical amount of computational effort. The purpose of computer simulation is to reduce amount of prototypes and speed up the product development process. Also, to take operator influence into account, real time models, i.e. simplified and computationally efficient models are required. This in turn, requires stress computation to be efficient if it will be performed during dynamic simulation. The research looks back at the theoretical background of multibody dynamic simulation and finite element method to find suitable parts to form a new approach for efficient stress calculation. This study proposes that, the problem of stress calculation during dynamic simulation can be greatly simplified by using a combination of floating frame of reference formulation with modal superposition and a sub-modeling approach. In practice, the proposed approach can be used to efficiently generate the relevant fatigue assessment stress history for a structural detail during or after dynamic simulation. In this work numerical examples are presented to demonstrate the proposed approach in practice. The results show that approach is applicable and can be used as proposed.

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Työn tarkoituksena oli selvittää, miten osarakennetekniikkaa voidaan soveltaa siirrettävän kivimurskaimen syötinosan simuloinnissa. Tätä tutkittiin luomalla kahdella eri ohjelmistolla simulaatiomalli syötinosasta ja mallintamalla syötinosan runko joustavaksi kappaleeksi osarakennetekniikan avulla. Luotujen simulointimallien tarkkuutta selvitettiin vertaamalla niistä saatuja rungon jännityksiä tutkittavan rakenteen rungosta mitattuihin jännityksiin. Työn tarkoituksena oli myös tutkia, miten hyvin simulaatiomallit soveltuvat käytettäväksi syötinosan tuotekehityksessä. Tässä työssä käytettiin syötinosan simulaatiomallin luomiseen ANSYS-ohjelmistoa ja ADAMS-ohjelmistoa. Simulaatiomalleihin lisättiin tutkittavasta järjestelmästä mitattu ohjaussignaali sekä syötinosan jousien arvot. Järjestelmän rakenneominaisuudet saatiin suoraan valmistajan luovuttamista tiedoista. ADAMS-ohjelmistolla mallinnetussa simulaatiomallissa runko mallinnettiin joustavaksi ANSYS-ohjelmistossa, josta se siirrettiin ADAMS-ohjelmistoon. Saaduista tuloksista kävi ilmi, että osarakennetekniikkaa voidaan hyödyntää syötinosan joustavan rungon simuloinnissa. Tutkittavasta järjestelmästä mitatuissa jännityksissä ja simulaatiomalleista saaduissa jännityksissä oli eroja, mutta jännityshistorian muodot ja suuruusluokat vastasivat pääosin toisiaan. Tulosten parantamiseksi tulee selvittää lisää alkuarvoja tutkittavasta järjestelmästä ja varmistua nyt saatujen jousiparametrien oikeellisuudesta.

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Tässä diplomityössä esitetään voimalaitoksen kanavien kannakkeiden rakennesuunnittelussa tarvittavat laskentamenetelmät. Työssä rakenteiden suunnitteluun ja mitoitukseen käytetään pääasiassa Eurokoodi 3 teräsrakenteiden suunnittelustandardin mukaista rajatilamitoitusta. Lisäksi kehitetään mitoitustyökaluja tärkeimpien kanavakannakkeiden suunnitteluun. Toteutettujen mitoitustyökalujen toiminta verifioidaan lujuusopin elementtimenetelmällä tehtävin tarkistuslaskelmin. Laskentatyökalujen analyyttisen ratkaisun verifioitiin olevan varmalla puolella kaikissa tutkituissa ilmiöissä. Työssä verifioituja menetelmiä voidaan soveltaa myös muiden vastaavien rakenteiden mitoittamiseen. Työssä luotujen laskentatyökalujen sisältämät laskentamenetelmät mahdollistavat monenlaisten rakenteiden vaatimustenmukaisen suunnittelun.

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Työssä tutkittiin turveperävaunun renkaan kiinnitysrakenteen väsymiskestävyyttä. Väsymiskestävyyden parantamiseksi renkaiden kiinnityskohdan muotoilu ja mitoitus suunniteltiin uudelleen. Suunnittelussa keskityttiin ensisijaisesti nimellisten ja rakenteellisten jännitysheilahdusten pienentämiseen. Sekä vanhan, että uuden rakenneratkaisun väsymiskestoikiä tarkasteltiin käyttämällä hot spot – menetelmää.

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Middle section module of InnoTrackTM moving walk was re-engineered according to value analysis process. Self-supporting steel structure for moving walk was created as a result of this process. Designed structure was verified and validated by prototype tests and finite element method calculations. Self-supporting steel structure replaces the original design of middle section module in InnoTrackTM. Designed structure provides higher satisfaction to customers’ needs and at the same time, it uses less resources. The redesigned middle section module provides higher value to the customer.

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Tässä työssä tutkittiin vääntökuormitettua hitsattua koteloprofiilipuomia. Vääntökuormitus aiheuttaa koteloprofiiliin vinouttavan voimasysteemin, joka aiheuttaa kotelopalkkiin sekä poikittaisia taivutusjännityksiä että pitkittäisiä jännityksiä. Vinoutumisen aiheuttamia lisära-situksia on tutkittu analyyttisesti BEF-analogian avulla sekä elementtimenetelmää apuna käyttäen. Lisäksi vääntökuormitus aiheuttaa puomiin estetyn väännön jännityksiä. Väsymiskestoikää tutkittiin laboratoriossa suoritettujen väsytyskokeiden avulla sekä las-kennallisesti. Kestoikälaskennassa käytettiin tehollisen lovijännityksen menetelmää hitsin juuren puolen väsymisen arvioinnissa sekä hot spot- jännityksen menetelmää hitsin rajavii-van väsymisen arvioinnissa. Teholliset lovijännitykset sekä hot spot jännitykset ovat määri-tetty elementtimenetelmän avulla. Laboratoriokokeiden ja elementtimenetelmä laskennan perusteella saatiin rakenteen kes-toiän kannalta kriittiset detaljit määritettyä. Kriittiset detaljit sijaitsevat puomin päädyn rakenteissa. Tutkimuksessa saatiin selville, että kriittisten detaljien rakenteellisilla ja valmis-tusteknisillä ratkaisuilla on merkittävä vaikutus lopullisen tuotteen väsymiskestoikään.

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Vibrations in machines can cause noise, decrease the performance, or even damage the machine. Vibrations appear if there is a source of vibration that excites the system. In the worst case scenario, the excitation frequency coincides with the natural frequency of the machine causing resonance. Rotating machines are a machine type, where the excitation arises from the machine itself. The excitation originates from the mass imbalance in the rotating shaft, which always exists in machines that are manufactured using conventional methods. The excitation has a frequency that is dependent on the rotational speed of the machine. The rotating machines in industrial use are usually designed to rotate at a constant rotational speed, the case where the resonances can be easily avoided. However, the machines that have a varying operational speed are more problematic due to a wider range of frequencies that have to be avoided. Vibrations, which frequencies equal to rotational speed frequency of the machine are widely studied and considered in the typical machine design process. This study concentrates on vibrations, which arise from the excitations having frequencies that are multiples of the rotational speed frequency. These vibrations take place when there are two or more excitation components in a revolution of a rotating shaft. The dissertation introduces four studies where three kinds of machines are experiencing vibrations caused by different excitations. The first studied case is a directly driven permanent magnet generator used in a wind power plant. The electromagnetic properties of the generator cause harmonic excitations in the system. The dynamic responses of the generator are studied using the multibody dynamics formulation. In another study, the finite element method is used to study the vibrations of a magnetic gear due to excitations, which frequencies equal to the rotational speed frequency. The objective is to study the effects of manufacturing and assembling inaccuracies. Particularly, the eccentricity of the rotating part with respect to non-rotating part is studied since the eccentric operation causes a force component in the direction of the shortest air gap. The third machine type is a tube roll of a paper machine, which is studied while the tube roll is supported using two different structures. These cases are studied using different formulations. In the first case, the tube roll is supported by spherical roller bearings, which have some wavinesses on the rolling surfaces. Wavinesses cause excitations to the tube roll, which starts to resonate at the frequency that is a half of the first natural frequency. The frequency is in the range where the machine normally operates. The tube roll is modeled using the finite element method and the bearings are modeled as nonlinear forces between the tube roll and the pedestals. In the second case studied, the tube roll is supported by freely rotating discs, which wavinesses are also measured. The above described phenomenon is captured as well in this case, but the simulation methodology is based on the flexible multibody dynamics formulation. The simulation models that are used in both of the last two cases studied are verified by measuring the actual devices and comparing the simulated and measured results. The results show good agreement.