31 resultados para Albedo boundary conditions
Resumo:
Tämän diplomityön tavoitteena oli suunnitella miehistönkuljetusajoneuvon runko. Rungosta suunniteltiin mahdollisimman hyvin energiaa absorboiva. Rakenne toteutettiin kennora-kenteena. Suunnittelussa sovellettiin koneensuunnittelun periaatteiden lisäksi energiaa ab-sorboivien rakenteiden suunnittelun periaatteita. Myös valmistustekniset näkökohdat otet-tiin huomioon. Rakenteessa hyödynnettiin Ruukki Oy:n Ramor 500 suojausterästä sekä OPTIM 500 MC terästä. Lisäksi erilaisten täyteaineiden käyttöä tutkittiin. Suunnittelun työkaluna käytettiin epälineaarista elementtimenetelmää, koska energiaa ab-sorboivien rakenteiden suunnittelussa on otettava huomioon materiaalien epälineaarinen käyttäytyminen. Rakenteen suunnittelu jakaantui viiteen vaiheeseen. Aluksi rakenteeseen kohdistuvat kuormitukset laskettiin elementtimenetelmän avulla. Esisuunnittelussa lasket-tiin plastisuusteorian avulla alustavasti tarvittavat materiaalipaksuudet. Tämän jälkeen ra-kenteen ydingeometria optimoitiin mahdollisimman hyvin energiaa absorboivaksi. Opti-moinnissa hyödynnettiin elementtimenetelmää. Seuraavassa vaiheessa varmistettiin raken-teen globaalit ominaisuudet. Lopuksi rakenteen kestävyyttä tarkasteltiin elementtimene-telmällä. Runko ei mallien mukaan kestänyt siltä vaadittuja kuormitustapauksia. Mallin kaikki ole-tukset pidettiin varmalla puolella. Reunaehdot oletettiin todellisuutta jäykemmiksi. Myös-kään materiaalin venymänopeudesta johtuvaa lujittumista ei otettu huomioon. Koska mii-naräjähdys on monimutkainen tapahtuma, rungon todellinen kestävyys joudutaan ar-viomaan räjähdystesteillä. Elementtimallien perusteella voidaan kuitenkin sanoa, että ener-giaa absorboiva ajoneuvon runko on mahdollista toteuttaa kennorakenteena. Lisäksi voi-daan todeta, että elementtimenetelmää sopii työvälineeksi tämän tyyppisten rakenteiden suunnitteluun.
Resumo:
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.
Resumo:
Työssä tutkittiin soodakattiloiden ilmakanavien hyödyntämistä jäykistävänä rakenteena. Työssä käsiteltiin yksittäisiä jäykistämättömiä ja jäykistettyjä levykenttiä ja niiden lommahduskestävyyttä Eurokoodi standardin mukaisesti ja elementtimenetelmän avulla. Lisäksi käsiteltiin lommahduksen teoriaa ja levykenttien käyttäytymistä yleisellä tasolla erilaisilla kuormituksilla ja reunaehdoilla. Työn tavoitteena oli selvittää kuinka lommahdus tutkitaan Eurokoodin mukaisesti ja elementtimenetelmää hyödyntäen, kun levykentän kuormituksena on poikittainen kuormitus tason suuntaisen kuormituksen lisäksi. Työssä tutkittiin kahden eri elementtimenetelmään pohjautuvan ratkaisuvaihtoehdon käyttöä lommahduslaskennassa. Työssä kehitettiin Eurokoodin sovellettu yhteisvaikutuskaavan käyttö lineaarisen ominaisarvotehtävän ratkaisun lisänä, jossa otetaan huomioon painekuorman vaikutus levykentän lommahduksessa. Kehitettyä menetelmää sovellettiin ilmakanavan esimerkkirakenteen mitoituksessa.
Resumo:
Extant research on consumer co-operation has acknowledged that the corporate purpose of consumer co-operatives deviates significantly from the purpose of investor-owned firms (IOFs – the dominant form in market economies and in theory development in the field of business economics) and also suggested that the management of consumer co-operatives differs from the management of IOFs. Despite this, there is a scarcity of research focusing on the management of consumer co-operatives in general and the ways this different purpose manifests in their management in particular. In other words, research on consumer cooperatives has only started to discover the importance of identifying the premises of these organizations and generating management and organization theories that take them into account. The overall objective of this study is to map out some of the implications that the purpose of consumer co-operation has for the management and governance of consumer co-operatives. To put it more precisely, by combining interview data gathered from Finnish consumer cooperatives (S Group, OP Bank Group and POP Bank) and extant literature, this study aims to generate or elaborate on definitions and outlines of the features that co-operative purpose poses for the strategic management, governance and managerial competence needed for consumer co-operatives. The study consists of two parts. The first part introduces the research topic, methods and publications, as well as discusses the overall outcomes. The second part consists of four publications that address the research questions from different viewpoints. The analyses of this study indicate that due to the purpose of consumer co-operation, the roles of locality and regionality become emphasized in their management. While locality and regionality are potential sources of competitive advantage for consumer co-operatives, geographic boundness sets significant boundary conditions for the strategic management of these organizations. Further, the purpose of consumer co-operation may pose several challenges to governance and set specific competence demands for the managers of these organizations. Associating the observations from various streams of research on management and governance with the purpose of consumer co-operation and examining these issues further, the thesis contributes to elaboration of theory in the field. While the thesis is by no means comprehensive (but instead reflects a co-operative research project in its early stages), it does shed light on some key ideas of management and governance and offers leads to theory and, thereby, will prove useful to elaborators, disseminators and appliers of knowledge on co-operation.
Resumo:
Työssä tutkitaan, kuinka pitkää moottorikaapelia on jännitevälipiiritaajuusmuuttajan kanssa mahdollista käyttää niin, että määritellyt reunaehdot vielä toteutuvat. Tavoitteena on tuottaa tietoa myynnille, markkinoinnille, tuotehallinnalle sekä tuoteylläpidolle siitä, miten taajuus-muuttaja toimii pidemmillä moottorikaapeleilla kuin valmistaja suosittelee. Tutkitut moottori-kaapelipituudet olivat 175…1025 metriä ja tutkitut laitteet nimellislähtövirroiltaan 2,4...25 A. Työssä aihetta käsitellään jänniteheijastusten näkökulmasta. Lisäksi tutkitaan moottorikaapelin pituuden vaikutusta taajuusmuuttajan eri komponenttien lämpenemiseen. Taajuusmuuttajan toiminnallisuutta arvioidaan moottorin suunnanvaihtojen avulla sekä turvallista toimintaa oikosulkutestein. Tutkittujen taajuusmuuttajien kohdalla on mahdollista käyttää taajuusmuuttajavalmistajan suositusta pidempiä moottorikaapeleita. Moottoriliittimien ylijännitteitä aiheuttavat jännite-heijastukset eivät aiheuttaneet raja-arvoja ylittäviä huippujännitteitä tutkituilla laitekokoon-panoilla. Myös lämpötilannousu oli maltillista tai jopa vähäistä taajuusmuuttajasta mitatuilla komponenteilla. Moottorisäätö havaittiin toimintakykyiseksi pidemmilläkin moottorikaape-leilla, tosin moottorin vääntömomentti heikkeni moottorikaapelien pituutta kasvatettaessa. Virranmittaus toimi hyvin myös pitkillä kaapeleilla, tuottaen vikalaukaisun kaikissa tehdyissä oikosulkutilanteissa. Moottorin ja taajuusmuuttajan melutaso nousivat moottorikaapelien pi-tuutta kasvatettaessa, vaikkakin moottorin käynti oli tasaista ja katkotonta Moottorikaapelin pituutta voidaan kasvattaa 325 metriin kaikissa tutkituissa laitteissa ilman, että mikään tutkittu ominaisuus vielä olennaisesti heikkenisi. Vielä 525 metrin moottorikaape-leita on mahdollista käyttää, mutta tällöin vääntömomentin tuotto on jo heikompaa.
Resumo:
Fireside deposits can be found in many types of utility and industrial furnaces. The deposits in furnaces are problematic because they can reduce heat transfer, block gas paths and cause corrosion. To tackle these problems, it is vital to estimate the influence of deposits on heat transfer, to minimize deposit formation and to optimize deposit removal. It is beneficial to have a good understanding of the mechanisms of fireside deposit formation. Numerical modeling is a powerful tool for investigating the heat transfer in furnaces, and it can provide valuable information for understanding the mechanisms of deposit formation. In addition, a sub-model of deposit formation is generally an essential part of a comprehensive furnace model. This work investigates two specific processes of fireside deposit formation in two industrial furnaces. The first process is the slagging wall found in furnaces with molten deposits running on the wall. A slagging wall model is developed to take into account the two-layer structure of the deposits. With the slagging wall model, the thickness and the surface temperature of the molten deposit layer can be calculated. The slagging wall model is used to predict the surface temperature and the heat transfer to a specific section of a super-heater tube panel with the boundary condition obtained from a Kraft recovery furnace model. The slagging wall model is also incorporated into the computational fluid dynamics (CFD)-based Kraft recovery furnace model and applied on the lower furnace walls. The implementation of the slagging wall model includes a grid simplification scheme. The wall surface temperature calculated with the slagging wall model is used as the heat transfer boundary condition. Simulation of a Kraft recovery furnace is performed, and it is compared with two other cases and measurements. In the two other cases, a uniform wall surface temperature and a wall surface temperature calculated with a char bed burning model are used as the heat transfer boundary conditions. In this particular furnace, the wall surface temperatures from the three cases are similar and are in the correct range of the measurements. Nevertheless, the wall surface temperature profiles with the slagging wall model and the char bed burning model are different because the deposits are represented differently in the two models. In addition, the slagging wall model is proven to be computationally efficient. The second process is deposit formation due to thermophoresis of fine particles to the heat transfer surface. This process is considered in the simulation of a heat recovery boiler of the flash smelting process. In order to determine if the small dust particles stay on the wall, a criterion based on the analysis of forces acting on the particle is applied. Time-dependent simulation of deposit formation in the heat recovery boiler is carried out and the influence of deposits on heat transfer is investigated. The locations prone to deposit formation are also identified in the heat recovery boiler. Modeling of the two processes in the two industrial furnaces enhances the overall understanding of the processes. The sub-models developed in this work can be applied in other similar deposit formation processes with carefully-defined boundary conditions.
Resumo:
Tässä työssä on tutkittu OL1/OL2-suojarakennuksen käyttäytymistä jäähdytteenmenetysonnettomuuden eli LOCA:n aikana. Onnettomuuden simulointiin on kehitetty suojarakennusmalli suomalaiseen APROS 5.09 - ohjelmistoon sisältyvällä LP-koodilla (Lumped Parameter Code). Työssä on keskitytty suojarakennuksen kannalta oleellisimpien suureiden: kaasutilavuuksien paineen sekä lämpötilan ja lauhdutusaltaan lämpötilan ja pinnankorkeuden ajalliseen käyttäytymiseen. Mallinnetut LOCA:t ovat päähöyrylinjan ja sammutetun reaktorin jäähdytysjärjestelmän putkikatkoksia. Simulointeja on tehty laitoksen täyden tehon ja kuumavalmiuden lähtötiloissa ja tarkasteltavien suureiden käyttäytymistä on tutkittu erikseen valituilla konservatiivisilla oletuksilla. Laskentatapaukset rajoittuvat lyhyeen aikaväliin 27.78 tuntia kuvitellusta putkirikosta eteenpäin. Tuloksia on verrattu OL1/OL2- laitostoimittajan, Westinghouse Electric Sweden AB:n, tekemiin lisensiointianalyyseihin. Työssä on myös kuvattu APROS-laskennan epävarmuustekijöitä. Suojarakennuksen on todettu käyttäytyvän fysikaalisesti yhtenevästi lisensiointianalyyseissä ja APROS:lla tehdyissä vertailulaskuissa.
Resumo:
Diplomityössä tutkittiin Fortumin Loviisan ydinvoimalaitoksen ulosvirtauskanaviston ja suurnopeuskosteudenerottimen toimintaa, sekä selvitettiin taustalla olevaa teoriaa ja aiemmin tehtyjä tutkimuksia. Tavoitteena oli ymmärtää ja esittää laitteiden toimintaa, sekä tutkia voiko ulosvirtauskanaviston suorituskykyä parantaa geometrian muutoksilla. Työssä luotiin tutkittaville kohteille geometriat ja laskentahilat, joiden avulla simuloitiin niiden toimintaa eri käyttötilanteissa numeerisen virtauslaskennan avulla. Laskennan reunaehdot saatiin olemassa olevasta prosessimallista ja aiemmista turbiiniselvityksistä. Ulosvirtauskanaviston suorituskyky laskettiin kolmella eri lauhdutinpaineella neljällä eri geometrialla. Geometrian muutokset vaikuttivat selkeästi ulosvirtauskanaviston suorituskykyyn ja sitä saatiin parannettua. Kaksi kolmesta muutoksesta, lisäkanavat ja oikaistu vesilippa, pa-ransivat suorituskykyä. Lokinsiipien poistaminen heikensi ulosvirtauskanaviston toi-mintaa. Suurnopeuskosteudenerottimen mallintaminen jäi lähtötietojen ja ajan puutteen takia hieman tavoitteesta. Sekä ulosvirtauskanaviston että suurnopeuskosteudenerotti-men jatkotutkimusta ja mahdollisia toimenpiteitä varten saatiin arvokasta uutta tietoa.
Resumo:
Wind energy has obtained outstanding expectations due to risks of global warming and nuclear energy production plant accidents. Nowadays, wind farms are often constructed in areas of complex terrain. A potential wind farm location must have the site thoroughly surveyed and the wind climatology analyzed before installing any hardware. Therefore, modeling of Atmospheric Boundary Layer (ABL) flows over complex terrains containing, e.g. hills, forest, and lakes is of great interest in wind energy applications, as it can help in locating and optimizing the wind farms. Numerical modeling of wind flows using Computational Fluid Dynamics (CFD) has become a popular technique during the last few decades. Due to the inherent flow variability and large-scale unsteadiness typical in ABL flows in general and especially over complex terrains, the flow can be difficult to be predicted accurately enough by using the Reynolds-Averaged Navier-Stokes equations (RANS). Large- Eddy Simulation (LES) resolves the largest and thus most important turbulent eddies and models only the small-scale motions which are more universal than the large eddies and thus easier to model. Therefore, LES is expected to be more suitable for this kind of simulations although it is computationally more expensive than the RANS approach. With the fast development of computers and open-source CFD software during the recent years, the application of LES toward atmospheric flow is becoming increasingly common nowadays. The aim of the work is to simulate atmospheric flows over realistic and complex terrains by means of LES. Evaluation of potential in-land wind park locations will be the main application for these simulations. Development of the LES methodology to simulate the atmospheric flows over realistic terrains is reported in the thesis. The work also aims at validating the LES methodology at a real scale. In the thesis, LES are carried out for flow problems ranging from basic channel flows to real atmospheric flows over one of the most recent real-life complex terrain problems, the Bolund hill. All the simulations reported in the thesis are carried out using a new OpenFOAM® -based LES solver. The solver uses the 4th order time-accurate Runge-Kutta scheme and a fractional step method. Moreover, development of the LES methodology includes special attention to two boundary conditions: the upstream (inflow) and wall boundary conditions. The upstream boundary condition is generated by using the so-called recycling technique, in which the instantaneous flow properties are sampled on aplane downstream of the inlet and mapped back to the inlet at each time step. This technique develops the upstream boundary-layer flow together with the inflow turbulence without using any precursor simulation and thus within a single computational domain. The roughness of the terrain surface is modeled by implementing a new wall function into OpenFOAM® during the thesis work. Both, the recycling method and the newly implemented wall function, are validated for the channel flows at relatively high Reynolds number before applying them to the atmospheric flow applications. After validating the LES model over simple flows, the simulations are carried out for atmospheric boundary-layer flows over two types of hills: first, two-dimensional wind-tunnel hill profiles and second, the Bolund hill located in Roskilde Fjord, Denmark. For the twodimensional wind-tunnel hills, the study focuses on the overall flow behavior as a function of the hill slope. Moreover, the simulations are repeated using another wall function suitable for smooth surfaces, which already existed in OpenFOAM® , in order to study the sensitivity of the flow to the surface roughness in ABL flows. The simulated results obtained using the two wall functions are compared against the wind-tunnel measurements. It is shown that LES using the implemented wall function produces overall satisfactory results on the turbulent flow over the two-dimensional hills. The prediction of the flow separation and reattachment-length for the steeper hill is closer to the measurements than the other numerical studies reported in the past for the same hill geometry. The field measurement campaign performed over the Bolund hill provides the most recent field-experiment dataset for the mean flow and the turbulence properties. A number of research groups have simulated the wind flows over the Bolund hill. Due to the challenging features of the hill such as the almost vertical hill slope, it is considered as an ideal experimental test case for validating micro-scale CFD models for wind energy applications. In this work, the simulated results obtained for two wind directions are compared against the field measurements. It is shown that the present LES can reproduce the complex turbulent wind flow structures over a complicated terrain such as the Bolund hill. Especially, the present LES results show the best prediction of the turbulent kinetic energy with an average error of 24.1%, which is a 43% smaller than any other model results reported in the past for the Bolund case. Finally, the validated LES methodology is demonstrated to simulate the wind flow over the existing Muukko wind farm located in South-Eastern Finland. The simulation is carried out only for one wind direction and the results on the instantaneous and time-averaged wind speeds are briefly reported. The demonstration case is followed by discussions on the practical aspects of LES for the wind resource assessment over a realistic inland wind farm.
Resumo:
Diplomityön tarkoituksena oli optimoida puukentän nosturin teräsrakenteiden kustannuksia ja selvittää halvemman valmistusmaan vaikutus nosturin kokonaiskustannukseen. Tavoitteena oli saada 15 % kokonaiskustannussäästö. Työn alussa perehdytään optimoitavan nosturin rakenteeseen ja mahdollisiin rakenteen optimoitaviin osiin. Teräsrakenteen optimointi alkoi kustannusrakenteen tarkalla selvittämisellä. Näin saatiin kuva nosturin kokonaiskustannuksesta ja mahdollisista säästökohteista. Uusien ideoiden kehittämisessä käytettiin hyväksi osatoimintojen pisteytystä ja ideamatriisia. Ideamatriisin lopputuloksena uudet rakenteet tarkastettiin nosturin kuormituksien suhteen ja valittiin kustannusten kannalta paras ratkaisu. Teräsrakenteeseen tehtiin muutoksia myös merirahdin konttien asettamien rajaehtojen mukaan. Kiinassa valmistettavalle teräsrakenteelle tehtiin rahtisuunnitelma, jossa selvitettiin optimaalinen rahtimuoto ja tarvittavien konttien lukumäärä. Tarjouskilpailun avulla saatiin halvin kuljetushinta valmistavalta tehtaalta työmaalle. Lopuksi nosturin optimoidun teräsrakenteen kustannuksia verrattiin työn alussa selvitettyyn kustannusrakenteeseen. Työn lopputuloksena päästiin 12 % potentiaaliseen kustannussäästöön, joka jäi kolme prosenttiyksikköä kustannussäästötavoitteesta.
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The aim of this work was to calibrate the material properties including strength and strain values for different material zones of ultra-high strength steel (UHSS) welded joints under monotonic static loading. The UHSS is heat sensitive and softens by heat due to welding, the affected zone is heat affected zone (HAZ). In this regard, cylindrical specimens were cut out from welded joints of Strenx® 960 MC and Strenx® Tube 960 MH, were examined by tensile test. The hardness values of specimens’ cross section were measured. Using correlations between hardness and strength, initial material properties were obtained. The same size specimen with different zones of material same as real specimen were created and defined in finite element method (FEM) software with commercial brand Abaqus 6.14-1. The loading and boundary conditions were defined considering tensile test values. Using initial material properties made of hardness-strength correlations (true stress-strain values) as Abaqus main input, FEM is utilized to simulate the tensile test process. By comparing FEM Abaqus results with measured results of tensile test, initial material properties will be revised and reused as software input to be fully calibrated in such a way that FEM results and tensile test results deviate minimum. Two type of different S960 were used including 960 MC plates, and structural hollow section 960 MH X-joint. The joint is welded by BöhlerTM X96 filler material. In welded joints, typically the following zones appear: Weld (WEL), Heat affected zone (HAZ) coarse grained (HCG) and fine grained (HFG), annealed zone, and base material (BaM). Results showed that: The HAZ zone is softened due to heat input while welding. For all the specimens, the softened zone’s strength is decreased and makes it a weakest zone where fracture happens while loading. Stress concentration of a notched specimen can represent the properties of notched zone. The load-displacement diagram from FEM modeling matches with the experiments by the calibrated material properties by compromising two correlations of hardness and strength.
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In this work we look at two different 1-dimensional quantum systems. The potentials for these systems are a linear potential in an infinite well and an inverted harmonic oscillator in an infinite well. We will solve the Schrödinger equation for both of these systems and get the energy eigenvalues and eigenfunctions. The solutions are obtained by using the boundary conditions and numerical methods. The motivation for our study comes from experimental background. For the linear potential we have two different boundary conditions. The first one is the so called normal boundary condition in which the wave function goes to zero on the edge of the well. The second condition is called derivative boundary condition in which the derivative of the wave function goes to zero on the edge of the well. The actual solutions are Airy functions. In the case of the inverted oscillator the solutions are parabolic cylinder functions and they are solved only using the normal boundary condition. Both of the potentials are compared with the particle in a box solutions. We will also present figures and tables from which we can see how the solutions look like. The similarities and differences with the particle in a box solution are also shown visually. The figures and calculations are done using mathematical software. We will also compare the linear potential to a case where the infinite wall is only on the left side. For this case we will also show graphical information of the different properties. With the inverted harmonic oscillator we will take a closer look at the quantum mechanical tunneling. We present some of the history of the quantum tunneling theory, its developers and finally we show the Feynman path integral theory. This theory enables us to get the instanton solutions. The instanton solutions are a way to look at the tunneling properties of the quantum system. The results are compared with the solutions of the double-well potential which is very similar to our case as a quantum system. The solutions are obtained using the same methods which makes the comparison relatively easy. All in all we consider and go through some of the stages of the quantum theory. We also look at the different ways to interpret the theory. We also present the special functions that are needed in our solutions, and look at the properties and different relations to other special functions. It is essential to notice that it is possible to use different mathematical formalisms to get the desired result. The quantum theory has been built for over one hundred years and it has different approaches. Different aspects make it possible to look at different things.
Resumo:
In this work we look at two different 1-dimensional quantum systems. The potentials for these systems are a linear potential in an infinite well and an inverted harmonic oscillator in an infinite well. We will solve the Schrödinger equation for both of these systems and get the energy eigenvalues and eigenfunctions. The solutions are obtained by using the boundary conditions and numerical methods. The motivation for our study comes from experimental background. For the linear potential we have two different boundary conditions. The first one is the so called normal boundary condition in which the wave function goes to zero on the edge of the well. The second condition is called derivative boundary condition in which the derivative of the wave function goes to zero on the edge of the well. The actual solutions are Airy functions. In the case of the inverted oscillator the solutions are parabolic cylinder functions and they are solved only using the normal boundary condition. Both of the potentials are compared with the particle in a box solutions. We will also present figures and tables from which we can see how the solutions look like. The similarities and differences with the particle in a box solution are also shown visually. The figures and calculations are done using mathematical software. We will also compare the linear potential to a case where the infinite wall is only on the left side. For this case we will also show graphical information of the different properties. With the inverted harmonic oscillator we will take a closer look at the quantum mechanical tunneling. We present some of the history of the quantum tunneling theory, its developers and finally we show the Feynman path integral theory. This theory enables us to get the instanton solutions. The instanton solutions are a way to look at the tunneling properties of the quantum system. The results are compared with the solutions of the double-well potential which is very similar to our case as a quantum system. The solutions are obtained using the same methods which makes the comparison relatively easy. All in all we consider and go through some of the stages of the quantum theory. We also look at the different ways to interpret the theory. We also present the special functions that are needed in our solutions, and look at the properties and different relations to other special functions. It is essential to notice that it is possible to use different mathematical formalisms to get the desired result. The quantum theory has been built for over one hundred years and it has different approaches. Different aspects make it possible to look at different things.
Resumo:
Tämän diplomityön tavoitteena on selvittää Kymenlaakson Opiston energiatehokkuuden parantamista ja tutkia onko olemassa selvästi taloudellisempi sekä ekologisempi tapa kattaa Opiston lämmitystarve verrattuna nykyisin käytössä olevaan kaukolämpöön. Työn teoriaosuudessa tehdään katsaus rakennusten energiatehokkuuteen vaikuttaviin seikkoihin, lähienergian tuotantoon ja energiatehokkuuden parantamiseen liittyvään lainsäädäntöön ja säädöksiin. Useasta rakennuksesta koostuva kansanopisto tarjoaa mielenkiintoisen pohjan selvitystyölle ja suuri lämmitystehontarve yhdistettynä monille saneerauskohteille tyypillisiin ahtaisiin teknisiin tiloihin asettaa rajoituksia lämmitysjärjestelmän suunnittelulle. Soveltavassa osuudessa määritellään reunaehdot mahdolliselle kaukolämmön korvaavalle lämmitysratkaisulle. Tutkitaan vesistölämmön hyödyntämisen mahdollisuutta ja lasketaan aurinkosähkön ja -lämmön tuotantopotentiaalia. Maalämpöjärjestelmän mitoituksessa ja taloudellisessa vertailussa käytettiin apuna maalämpöjärjestelmiä toimittavia yrityksiä. Työssä saatujen tulosten perusteella maalämpöjärjestelmä on taloudellisesti kannattava isossa kohteessa, tosin järjestelmän asennukseen liittyy ahtaiden tilojen johdosta ongelmia. Maalämpö on myös selvästi ekologisempi, kuin nykyisin käytössä oleva kaukolämpö. Aurinkosähkön tuotannolle on Kymenlaakson Opistolla hyvä potentiaali ja sähkön tuotanto kohtaa hyvin sähkön käytön.
Resumo:
Työkoneen vanteen kantavuuslaskentaan käytettävän taulukon epäiltiin tuottavan todellista huonompia kantavuuksia etenkin suurten offset-arvon vanteiden tapauksessa. Tutkimuksessa yhdestä tyypillistä kokoa edustavasta vannetyypistä valmistettiin offset-säädettävä erikoisvanne. Vanteen käytön aikaisia rasituksia seurattiin venymäliuska-antureilla koeajoradalla tavanomaisissa ajotilanteissa eri offset-arvoilla traktorilla vedettävän kuormitetun testivaunun avulla. Saatuja tuloksia vertailtiin vanteen elementtimallin tuloksiin ja käytettyjä kuormitusolettamia muutettiin. Tutkimuksen tuloksena kantavuuden laskentaan käytettävän taulukon todettiin toimivan pääosin mittauksen mukaisesti. Vanteen offset-arvolla on laskentataulukon mukaisesti merkittävä vaikutus vanteen keskiön väsymiskestävyyteen. Suurilla negatiivisilla offset-arvoilla vanteen kestoiän määrä ajo taisella alustalla, kun taas suurten positiivisten vanteiden väsymisvaurio aiheutuu pääosin kaltevalla pinnalla ajosta. Mittauksella pystyttiin osoittamaan laskentataulukon konservatiivinen olettama etenkin suurten negatiivisten offset-arvojen vanteille, jolla kyseenomaisten vanteiden väsymiskestoikää voidaan parantaa merkittävästi. Lisäksi laskentaohjelman tekemisessä käytettyjen kuormitus- ja reunaehto-olettamien vahvistettiin toimivan keskiön kannalta riittävällä tarkkuudella. Havainnolla on tärkeä rooli tulevissa elementtimenetelmään perustuvissa kantavuuslaskelmissa.