901 resultados para discrete element method


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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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Currently, the standards that deal with the determination of the properties of rigidity and strength for structural round timber elements do not take in consideration in their calculations and mathematical models the influence of the existing irregularities in the geometry of these elements. This study has as objective to determine the effective value of the modulus of longitudinal elasticity for structural round timber pieces of the Eucalyptus citriodora genus by a technique of optimization allied to the Inverse Analysis Method, to the Finite Element Method and the Least Square Method.

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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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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.

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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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The present paper describes an integrated micro/macro mechanical study of the elastic-viscoplastic behavior of unidirectional metal matrix composites (MMC). The micromechanical analysis of the elastic moduli is based on the Composites Cylinder Assemblage model (CCA) with comparisons also draw with a Representative Unit Cell (RUC) technique. These "homogenization" techniques are later incorporated into the Vanishing Fiber Diameter (VFD) model and a new formulation is proposed. The concept of a smeared element procedure is employed in conjunction with two different versions of the Bodner and Partom elastic-viscoplastic constitutive model for the associated macroscopic analysis. The formulations developed are also compared against experimental and analytical results available in the literature.

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This paper presents the development of a two-dimensional interactive software environment for structural analysis and optimization based on object-oriented programming using the C++ language. The main feature of the software is the effective integration of several computational tools into graphical user interfaces implemented in the Windows-98 and Windows-NT operating systems. The interfaces simplify data specification in the simulation and optimization of two-dimensional linear elastic problems. NURBS have been used in the software modules to represent geometric and graphical data. Extensions to the analysis of three-dimensional problems have been implemented and are also discussed in this paper.

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In this paper we present an algorithm for the numerical simulation of the cavitation in the hydrodynamic lubrication of journal bearings. Despite the fact that this physical process is usually modelled as a free boundary problem, we adopted the equivalent variational inequality formulation. We propose a two-level iterative algorithm, where the outer iteration is associated to the penalty method, used to transform the variational inequality into a variational equation, and the inner iteration is associated to the conjugate gradient method, used to solve the linear system generated by applying the finite element method to the variational equation. This inner part was implemented using the element by element strategy, which is easily parallelized. We analyse the behavior of two physical parameters and discuss some numerical results. Also, we analyse some results related to the performance of a parallel implementation of the algorithm.

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This work presents recent results concerning a design methodology used to estimate the positioning deviation for a gantry (Cartesian) manipulator, related mainly to structural elastic deformation of components during operational conditions. The case-study manipulator is classified as gantry type and its basic dimensions are 1,53m x 0,97m x 1,38m. The dimensions used for the calculation of effective workspace due to end-effector path displacement are: 1m x 0,5m x 0,5m. The manipulator is composed by four basic modules defined as module X, module Y, module Z and terminal arm, where is connected the end-effector. Each module controlled axis performs a linear-parabolic positioning movement. The planning path algorithm has the maximum velocity and the total distance as input parameters for a given task. The acceleration and deceleration times are the same. Denavit-Hartemberg parameterization method is used in the manipulator kinematics model. The gantry manipulator can be modeled as four rigid bodies with three degrees-of-freedom in translational movements, connected as an open kinematics chain. Dynamic analysis were performed considering inertial parameters specification such as component mass, inertia and center of gravity position of each module. These parameters are essential for a correct manipulator dynamic modelling, due to multiple possibilities of motion and manipulation of objects with different masses. The dynamic analysis consists of a mathematical modelling of the static and dynamic interactions among the modules. The computation of the structural deformations uses the finite element method (FEM).

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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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Tässä diplomityössä on tutkittu tehollisen lovijännityksen menetelmän soveltuvuutta ultralujien terästen korkealaatuisten hitsien väsymismitoitukseen. International Institute of Welding suosittelee käyttämään elementtimenetelmässä hitsin rajaviivoilla sekä juuressa fiktiivistä 1 mm pyöristystä, jonka avulla tehollinen lovijännitys määritetään. Kaikille liitostyypeille sovelletaan samaa, kaltevuudeltaan m = 3 olevaa SN-käyrää, jolloin maksimipääjännitystä vastaava väsymisluokka FAT saa arvon 225. Nykyisiä mitoitusohjeita on pidetty kuitenkin liian konservatiivisina, etenkin jos kyseessä on suurilujuuksisesta teräksestä valmistettu korkealaatuinen hitsi. Rajaviivalla vaikuttavaa lovijännitystä on tutkittu mallintamalla liitokset FEMAP – elementtimenetelmäohjelmalla varioimalla rajaviivan pyöristystä. Elementtimenetelmän tuloksia on verrattu analyyttisiin loven muotoluvun laskentakaavoihin. Tutkittavana on ollut Ruukin Optim 960 QC sekä Optim 1100 QC – teräksistä valmistettuja koesauvoja. Koesauvat on valmistettu sekä koestettu pääasiassa Lappeenrannan teknillisen yliopiston teräsrakenteiden laboratoriossa. Tutkittavat koesauvat ovat olleet kuormaa kantamattomia ristiliitoksia sekä päittäisliitoksia. Suurin osa koesauvoista on väsytetty käyttämällä jännityssuhdetta R < 0,11. Koesauvat on jaoteltu jännityssuhteen sekä liitostyypin mukaan. Kaikkien koekappaleiden karakteristiseksi väsymisluokan arvoksi on määritetty FAT 200. Alle 0,11 jännityssuhteella väsytettyjen koekappaleiden karakteristinen väsymisluokka on FAT 230 ja isoilla jännityssuhteilla väsytettyjen FAT 126. Tulosten perusteella nykyiset mitoitusohjeet eivät ole liian konservatiivisia. Väsymisluokkaa FAT 225 voidaan käyttää väsymislaskennassa, mikäli rakenteen kuormitusten suhde on alle 0,1. Isoilla jännityssuhteilla koestettujen koekappaleiden lukumäärä on ollut pieni, joten niiden mitoitukselle ei voida antaa tarkkoja ohjeita.

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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.