Numerical simulation of two-chamber plasma sources using finite element method

Numerical simulation of plasma sources is very important. Such models allows to vary different plasma parameters with high degree of accuracy. Moreover, they allow to conduct measurements not disturbing system balance.Recently, the scientific and practical interest increased in so-called two-chamber plasma sources. In one of them (small or discharge chamber) an external power source is embedded. In that chamber plasma forms. In another (large or diffusion chamber) plasma exists due to the transport of particles and energy through the boundary between chambers.In this particular work two-chamber plasma sources with argon and oxygen as active mediums were onstructed. This models give interesting results in electric field profiles and, as a consequence, in density profiles of charged particles.

Simulation and material calibration of ultra high strength steel (UHSS) S960 welded joint under static tensile test utilizing finite element method (FEM)

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.

Fractional slot permanent magnet synchronous motors for low speed applications

This study compares different rotor structures of permanent magnet motors with fractional slot windings. The surface mounted magnet and the embedded magnet rotor structures are studied. This thesis analyses the characteristics of a concentrated two-layer winding, each coil of which is wound around one tooth and which has a number of slots per pole and per phase less than one (q < 1). Compared to the integer slot winding, the fractional winding (q < 1) has shorter end windings and this, thereby, makes space as well as manufacturing cost saving possible. Several possible ways of winding a fractional slot machine with slots per pole and per phase lessthan one are examined. The winding factor and the winding harmonic components are calculated. The benefits attainable from a machine with concentrated windingsare considered. Rotor structures with surface magnets, radially embedded magnets and embedded magnets in V-position are discussed. The finite element method isused to solve the main values of the motors. The waveform of the induced electro motive force, the no-load and rated load torque ripple as well as the dynamic behavior of the current driven and voltage driven motor are solved. The results obtained from different finite element analyses are given. A simple analytic method to calculate fractional slot machines is introduced and the values are compared to the values obtained with the finite element analysis. Several different fractional slot machines are first designed by using the simple analytical methodand then computed by using the finite element method. All the motors are of thesame 225-frame size, and have an approximately same amount of magnet material, a same rated torque demand and a 400 - 420 rpm speed. An analysis of the computation results gives new information on the character of fractional slot machines.A fractional slot prototype machine with number 0.4 for the slots per pole and per phase, 45 kW output power and 420 rpm speed is constructed to verify the calculations. The measurement and the finite element method results are found to beequal.

Effect of Mechanical and Geometric Mismatching on Fatigue and Damage of Welded Joints

The future of high technology welded constructions will be characterised by higher strength materials and improved weld quality with respect to fatigue resistance. The expected implementation of high quality high strength steel welds will require that more attention be given to the issues of crack initiation and mechanical mismatching. Experiments and finite element analyses were performed within the framework of continuum damage mechanics to investigate the effect of mismatching of welded joints on void nucleation and coalescence during monotonic loading. It was found that the damage of undermatched joints mainly occurred in the sandwich layer and the damageresistance of the joints decreases with the decrease of the sandwich layer width. The damage of over-matched joints mainly occurred in the base metal adjacent to the sandwich layer and the damage resistance of the joints increases with thedecrease of the sandwich layer width. The mechanisms of the initiation of the micro voids/cracks were found to be cracking of the inclusions or the embrittled second phase, and the debonding of the inclusions from the matrix. Experimental fatigue crack growth rate testing showed that the fatigue life of under-matched central crack panel specimens is longer than that of over-matched and even-matched specimens. Further investigation by the elastic-plastic finite element analysis indicated that fatigue crack closure, which originated from the inhomogeneousyielding adjacent to the crack tip, played an important role in the fatigue crack propagation. The applicability of the J integral concept to the mismatched specimens with crack extension under cyclic loading was assessed. The concept of fatigue class used by the International Institute of Welding was introduced in the parametric numerical analysis of several welded joints. The effect of weld geometry and load condition on fatigue strength of ferrite-pearlite steel joints was systematically evaluated based on linear elastic fracture mechanics. Joint types included lap joints, angle joints and butt joints. Various combinations of the tensile and bending loads were considered during the evaluation with the emphasis focused on the existence of both root and toe cracks. For a lap joint with asmall lack-of-penetration, a reasonably large weld leg and smaller flank angle were recommended for engineering practice in order to achieve higher fatigue strength. It was found that the fatigue strength of the angle joint depended strongly on the location and orientation of the preexisting crack-like welding defects, even if the joint was welded with full penetration. It is commonly believed that the double sided butt welds can have significantly higher fatigue strength than that of a single sided welds, but fatigue crack initiation and propagation can originate from the weld root if the welding procedure results in a partial penetration. It is clearly shown that the fatigue strength of the butt joint could be improved remarkably by ensuring full penetration. Nevertheless, increasing the fatigue strength of a butt joint by increasing the size of the weld is an uneconomical alternative.

Materiaalimallin määrityksestä kylmämuovattujen putkipalkkien K-liitosten FE-analyysissä

Työssä on tutkittu kylmämuovattujen nelikulmaisten putkipalkkien K-liitosten mallinnusta epälineaarisella elementtimenetelmällä. Työn tärkeimpänä tavoitteena on ollut kehittää putkipalkin osien materiaalimalleja siten, että liitosten kestävyyttä voidaan tutkia laboratoriokokeiden ohella luotettavasti myös elementtimenetelmällä. Toisena tavoitteena on ollut tutkia, voidaanko putkipalkkien liitosten mitoitusohjeita turvallisesti soveltaa kylmämuovatuille putkipalkeille, joissa valmistusprosessi aiheuttaa muutoksia materiaaliominaisuuksiin, erityisesti muodonmuutoskykyyn. Työssä tehtyjen laboratoriokokeiden ja elementtianalyysien perusteella elementti-menetelmä on käyttökelpoinen työkalu putkipalkkiliitosten staattista kestävyyttä määritettäessä, kun materiaalimallit on määritetty oikein. Erityisesti liitoksen käyttö-rajatilan mukaisen kestävyyden laskennassa elementtimenetelmällä saadaan hyvin laboratoriokokeita vastaavia tuloksia. Tehdyt laboratoriokokeet osoittavat myös, että Eurocode 3:n mukaisia putkipalkkien liitosten mitoitusohjeita voi turvallisesti käyttää kylmämuovatuille putkipalkeille.

Assessment of meshing techniques for fatigue analysis of load carrying welded joints using the effective notch approach

The effective notch stress approach for the fatigue strength assessment of welded structures as included in the Fatigue Design Recommendation of the IIW requires the numerical analysis of the elastic notch stress in the weld toe and weld root which is fictitiously rounded with a radius of 1mm. The goal of this thesis work was to consider alternate meshing strategies when using the effective notch stress approach to assess the fatigue strength of load carrying partial penetration fillet-welded cruciform joints. In order to establish guidelines for modeling the joint and evaluating the results, various two-dimensional (2D) finite element analyses were carried out by systematically varying the thickness of the plates, the weld throat thickness, the degree of bending, and the shape and location of the modeled effective notch. To extend the scope of this work, studies were also carried out on the influence of

Trukkitraktorin rungon suunnittelu ja laskenta

Tässä työssä suunniteltiin lappeenrantalaisen Astex Oy:n tilauksesta liikkuvan työkoneen runkorakenne. Työ tehtiin Lappeenrannan teknillisen yliopiston teräsrakenteiden laboratoriossa. Suunniteltava rakenne kuului linkkuohjattuun, noin 5000 kg painoiseen trukkitraktoriin. Lähtökohtana rakenteen suunnittelulle olivat tilaajan asettamat rakenteen geometriaan ja suorituskykyyn liittyvät reunaehdot ja rajoitteet. Uuden rakenteen suunnittelussa hyödynnettiin myös tilaajatahon kehittelemää vastaavan tyyppistä prototyyppirakennetta. Rakenteen suunnitteluprosessi koostui neljästä eri vaiheesta. Suunniteltavan rakenteen lähtökohtana olleelle prototyyppirakenteelle suoritettiin koneen käytönaikaisia venymäliuskamittauksia rakenteen kuormitushistorian selvittämiseksi. Mittauksista saatujen tulosten perusteella määritettiin kuormitukset uudelle suunniteltavalle rakenteelle. Määritettyjä kuormituksia hyödyntäen ideoitiin, suunniteltiin ja mallinnettiin uusi tilaajan vaatimuksia vastaava rakenne. Uudelle rakenteelle suoritettiin lujuusanalyysit FE-analyysiä hyödyntäen. Uuden rakenteen suunnittelussa kiinnitettiin huomiota rakenteen hyvään valmistettavuuteen ja suunniteltiin rakenneratkaisut tilaajataholle mahdollisimman optimaalisiksi. Suunnittelu- ja mallinnustyö tehtiin Solidworks 2014 ohjelmistolla. Rakenteen lujuustekniset tarkastelut sisälsivät rakennedetaljien analyyttistä mitoitusta ja laskentaa. FE-laskennalla selvitettiin rakenteen ääri- ja väsymiskestävyys. Laskenta sisälsi koko rakenteen globaaleja tarkasteluja, sekä eri kriittisten rakennedetaljien yksityiskohtaisempia analyysejä. FE-laskennan pääpaino oli rakenteen väsymisanalyyseissä, jotka toteutettiin Hot-Spot- ja särönkasvumenetelmillä. Rakenteen FE-analyysien suorittamisessa käytettiin Femap, NxNastran ja Abaqus-ohjelmistoja.

Effect of loading type on the fatigue strength of symmetric and asymmetric welded joints made of ultra high strength steel

In this study, finite element analyses and experimental tests are carried out in order to investigate the effect of loading type and symmetry on the fatigue strength of three different non-load carrying welded joints. The current codes and recommendations do not give explicit instructions how to consider degree of bending in loading and the effect of symmetry in the fatigue assessment of welded joints. The fatigue assessment is done by using effective notch stress method and linear elastic fracture mechanics. Transverse attachment and cover plate joints are analyzed by using 2D plane strain element models in FEMAP/NxNastran and Franc2D software and longitudinal gusset case is analyzed by using solid element models in Abaqus and Abaqus/XFEM software. By means of the evaluated effective notch stress range and stress intensity factor range, the nominal fatigue strength is assessed. Experimental tests consist of the fatigue tests of transverse attachment joints with total amount of 12 specimens. In the tests, the effect of both loading type and symmetry on the fatigue strength is studied. Finite element analyses showed that the fatigue strength of asymmetric joint is higher in tensile loading and the fatigue strength of symmetric joint is higher in bending loading in terms of nominal and hot spot stress methods. Linear elastic fracture mechanics indicated that bending reduces stress intensity factors when the crack size is relatively large since the normal stress decreases at the crack tip due to the stress gradient. Under tensile loading, experimental tests corresponded with finite element analyzes. Still, the fatigue tested joints subjected to bending showed the bending increased the fatigue strength of non-load carrying welded joints and the fatigue test results did not fully agree with the fatigue assessment. According to the results, it can be concluded that in tensile loading, the symmetry of joint distinctly affects on the fatigue strength. The fatigue life assessment of bending loaded joints is challenging since it depends on whether the crack initiation or propagation is predominant.

Terässiilojen mitoitusohjelman kehittäminen

Siiloja käytetään jauhemaisten ja rakeisten aineiden varastointiin ja annosteluun maataloudessa sekä mm. lasi-, laasti- ja tasoiteteollisuudessa. Tällaiset laitokset toimitetaan usein kokonaistoimituksina, joissa tavanomaisten teräsrakenteiden kustannusvaikutus voi olla jopa 30 % koko toimituksen arvosta. Niinpä osaltaan siilojen tehokkaalla mitoituksella ja erilaisiarakenneratkaisuja vertailemalla voidaan alentaa toimitusten kokonaiskustannuksia. Tässä diplomityössä perehdyttiin siilojen rakenteisiin ja niiden lujuustekniseen mitoitukseen etenkin tuentaratkaisujen osalta. Mitoituksen osalta työssä perehdyttiin pääasiassa uusiin Eurooppalaisiin standardeihin SFS-EN 1991-4 ja SFS-EN 1993-4-1. Niiden mukaan määritetään mitoituskuormat sekä tehdään lujuustekninen mitoitus. Työn tuloksena laadittiin Microsoft Excel -pohjainen mitoitusohjelma, jolla voidaan nopeasti mitoittaa siilojen olennaisimmat teräsrakenteet. Ohjelmalla voidaan määrittää mitoitus koskien siilon lieriön ja kartion seinämiä sekä tuentaratkaisuja. Ohjelma nopeuttaa erityisesti tarjousvaiheen suunnittelua ja antaa pohjan varsinaiselle siilojen yksityiskohtaiselle mitoittamiselle ja suunnittelulle.

Tuulikuormien vaikutus teleskooppimaston toimintaan

Tämä diplomityö on tehty Patria Vehicles Oy:n toimeksiannosta. Patria Vehicles Oy:n tuotantoon kuuluvat vaativiin maasto-olosuhteisiin soveltuvat sotilasajoneuvot sekä teleskooppimastot. Tutkimuksen tarkoituksena oli mallintaa mastoperävaunusta joustava malli, johon vaikuttavat tuulikuormat. Mallin avulla voidaan tutkia maston siirtymiä, kallistumia sekä kiertymiä. Tutkimuksessa on käytetty ADAMS-simulointiohjelmistoa sekä I-DEAS- FEM ohjelmistoa. Dynaamisten ongelmien ratkaisemiseksi on ymmärrettävä rakenteiden käyttäytymistä. Tuulikuormien mallintamisen edellytyksenä on tuulikuormien syntymisen ymmärtäminen. Tämän työn peruslähtökohtana on mallintaa kaikki maston jäykkyyteen vaikuttavat komponentit joustavina FE-menetelmän avulla. Luodaan superelementit Craig-Bamptonin ominaismuotojen superponointimenetelmällä. Nämä superelementit liitetään toisiinsa ja asetetaan niille tuulikuormat. Luodaan kosketukset puomien, sekä maan ja maston välille. Pienennetään joustavien osien ominaismuotojen määrää, jotta saataisiin nopeammat analyysit. Parametrisoidaan malli, jolloin voidaan analysoida mallilla useampia tapauksia. Verifioidaan malli varmistaaksemme sen oikeellisuuden. Taulukoidaan tulokset.

High-Speed Solid-Rotor Induction Machine – Electromagnetic Calculation and Design

Within the latest decade high-speed motor technology has been increasingly commonly applied within the range of medium and large power. More particularly, applications like such involved with gas movement and compression seem to be the most important area in which high-speed machines are used. In manufacturing the induction motor rotor core of one single piece of steel it is possible to achieve an extremely rigid rotor construction for the high-speed motor. In a mechanical sense, the solid rotor may be the best possible rotor construction. Unfortunately, the electromagnetic properties of a solid rotor are poorer than the properties of the traditional laminated rotor of an induction motor. This thesis analyses methods for improving the electromagnetic properties of a solid-rotor induction machine. The slip of the solid rotor is reduced notably if the solid rotor is axially slitted. The slitting patterns of the solid rotor are examined. It is shown how the slitting parameters affect the produced torque. Methods for decreasing the harmonic eddy currents on the surface of the rotor are also examined. The motivation for this is to improve the efficiency of the motor to reach the efficiency standard of a laminated rotor induction motor. To carry out these research tasks the finite element analysis is used. An analytical calculation of solid rotors based on the multi-layer transfer-matrix method is developed especially for the calculation of axially slitted solid rotors equipped with wellconducting end rings. The calculation results are verified by using the finite element analysis and laboratory measurements. The prototype motors of 250 – 300 kW and 140 Hz were tested to verify the results. Utilization factor data are given for several other prototypes the largest of which delivers 1000 kW at 12000 min-1.

Calculation of the critical crack size for cold form rectangular hollow section tube (CRHS) under bending load at -40º C temperature

To predict the capacity of the structure or the point which is followed by instability, calculation of the critical crack size is important. Structures usually contain several cracks but not necessarily all of these cracks lead to failure or reach the critical size. So, defining the harmful cracks or the crack size which is the most leading one to failure provides criteria for structure’s capacity at elevated temperature. The scope of this thesis was to calculate fracture parameters like stress intensity factor, the J integral and plastic and ultimate capacity of the structure to estimate critical crack size for this specific structure. Several three dimensional (3D) simulations using finite element method by Ansys program and boundary element method by Frank 3D program were carried out to calculate fracture parameters and results with the aid of laboratory tests (loaddisplacement curve, the J resistance curve and yield or ultimate stress) leaded to extract critical size of the crack. Two types of the fracture which is usually affected by temperature, Elastic and Elasti-Plastic fractures were simulated by performing several linear elastic and nonlinear elastic analyses. Geometry details of the weldment; flank angle and toe radius were also studied independently to estimate the location of crack initiation and simulate stress field in early stages of crack extension in structure. In this work also overview of the structure’s capacity in room temperature (20 ºC) was studied. Comparison of the results in different temperature (20 ºC and -40 ºC) provides a threshold of the structure’s behavior within the defined range.

Development of beam and plate finite elements based on the absolute nodal coordinate formulation

The focus of this dissertation is to develop finite elements based on the absolute nodal coordinate formulation. The absolute nodal coordinate formulation is a nonlinear finite element formulation, which is introduced for special requirements in the field of flexible multibody dynamics. In this formulation, a special definition for the rotation of elements is employed to ensure the formulation will not suffer from singularities due to large rotations. The absolute nodal coordinate formulation can be used for analyzing the dynamics of beam, plate and shell type structures. The improvements of the formulation are mainly concentrated towards the description of transverse shear deformation. Additionally, the formulation is verified by using conventional iso-parametric solid finite element and geometrically exact beam theory. Previous claims about especially high eigenfrequencies are studied by introducing beam elements based on the absolute nodal coordinate formulation in the framework of the large rotation vector approach. Additionally, the same high eigenfrequency problem is studied by using constraints for transverse deformation. It was determined that the improvements for shear deformation in the transverse direction lead to clear improvements in computational efficiency. This was especially true when comparative stress must be defined, for example when using elasto-plastic material. Furthermore, the developed plate element can be used to avoid certain numerical problems, such as shear and curvature lockings. In addition, it was shown that when compared to conventional solid elements, or elements based on nonlinear beam theory, elements based on the absolute nodal coordinate formulation do not lead to an especially stiff system for the equations of motion.

Fatigue study of the fillet weld waving on weld toe and the penetration in the weld root based on the effective notch stress approach

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.