Rasitusten älykäs seuranta

Tässä diplomityössä käsitellään monikappalesysteeminä mallinnetun toimilaitteen tai mekaanisen systeemin kappaleissa vaikuttavien rasitusten, siirtymien ja jännitysten laskentamenetelmiä. Työhön sisällytettyjen menetelmien valinta on toteutettu 2000-luvulla virtuaalisuunnittelua käsittelevissä tiedelehdissä julkaistujen artikkelien pohjalta. Työn tarkoituksena on muodostaa kirjallisuuskatsaus uusien laskentamenetelmien ominaisuuksista ja metodiikasta, mitä voidaan tarvittaessa soveltaa virtuaalisuunnittelun tarpeisiin. Kaksi esiteltävistä menetelmistä on optimointimenetelmiä (RBDO ja ESL). Muissa menetelmissä käsitellään muun muassa venymien rekonstruointia ja hankauskitkasta komponentteihin kohdistuvia jännityksiä. Moving frame-menetelmässä sovelletaan kelluvan koordinaatiston periaatetta, yksi menetelmistä perustuu selkeästi osarakennetekniikkaan ja yhdessä kappaleiden joustokäyttäytymistä mallinnetaan muotofunktioiden avulla. Lisäksi on kolme soveltavaa esimerkkiä rasitusten seurannasta teollisuuskoneissa. Laskentamenetelmät ovat luonteeltaan ja sovelluskelpoisuudeltaan erilaisia. Optimointimenetelmät ovat parhaimmillaan rakenteiden jatkokehitystyössä, siinä missä muut menetelmät soveltuvat joko olemassa olevien rakenteiden mallintamiseen tai kokonaan uusien systeemien suunnittelutyökaluiksi. Tätä eroavuutta voidaan pitää hyvänä asiana, jotta voidaan valita parhaiten omiin tarkoituksiin soveltuva menetelmä.

Liikkuvan kivimurskaimen syötinosan rakenneanalyysi osarakennetekniikan avulla

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.

Modellazione multibody di veicoli ferroviari: sviluppo ed implementazione di modelli innovativi per l'analisi del contatto ruota - rotaia

The wheel - rail contact analysis plays a fundamental role in the multibody modeling of railway vehicles. A good contact model must provide an accurate description of the global contact phenomena (contact forces and torques, number and position of the contact points) and of the local contact phenomena (position and shape of the contact patch, stresses and displacements). The model has also to assure high numerical efficiency (in order to be implemented directly online within multibody models) and a good compatibility with commercial multibody software (Simpack Rail, Adams Rail). The wheel - rail contact problem has been discussed by several authors and many models can be found in the literature. The contact models can be subdivided into two different categories: the global models and the local (or differential) models. Currently, as regards the global models, the main approaches to the problem are the so - called rigid contact formulation and the semi – elastic contact description. The rigid approach considers the wheel and the rail as rigid bodies. The contact is imposed by means of constraint equations and the contact points are detected during the dynamic simulation by solving the nonlinear algebraic differential equations associated to the constrained multibody system. Indentation between the bodies is not permitted and the normal contact forces are calculated through the Lagrange multipliers. Finally the Hertz’s and the Kalker’s theories allow to evaluate the shape of the contact patch and the tangential forces respectively. Also the semi - elastic approach considers the wheel and the rail as rigid bodies. However in this case no kinematic constraints are imposed and the indentation between the bodies is permitted. The contact points are detected by means of approximated procedures (based on look - up tables and simplifying hypotheses on the problem geometry). The normal contact forces are calculated as a function of the indentation while, as in the rigid approach, the Hertz’s and the Kalker’s theories allow to evaluate the shape of the contact patch and the tangential forces. Both the described multibody approaches are computationally very efficient but their generality and accuracy turn out to be often insufficient because the physical hypotheses behind these theories are too restrictive and, in many circumstances, unverified. In order to obtain a complete description of the contact phenomena, local (or differential) contact models are needed. In other words wheel and rail have to be considered elastic bodies governed by the Navier’s equations and the contact has to be described by suitable analytical contact conditions. The contact between elastic bodies has been widely studied in literature both in the general case and in the rolling case. Many procedures based on variational inequalities, FEM techniques and convex optimization have been developed. This kind of approach assures high generality and accuracy but still needs very large computational costs and memory consumption. Due to the high computational load and memory consumption, referring to the current state of the art, the integration between multibody and differential modeling is almost absent in literature especially in the railway field. However this integration is very important because only the differential modeling allows an accurate analysis of the contact problem (in terms of contact forces and torques, position and shape of the contact patch, stresses and displacements) while the multibody modeling is the standard in the study of the railway dynamics. In this thesis some innovative wheel – rail contact models developed during the Ph. D. activity will be described. Concerning the global models, two new models belonging to the semi – elastic approach will be presented; the models satisfy the following specifics: 1) the models have to be 3D and to consider all the six relative degrees of freedom between wheel and rail 2) the models have to consider generic railway tracks and generic wheel and rail profiles 3) the models have to assure a general and accurate handling of the multiple contact without simplifying hypotheses on the problem geometry; in particular the models have to evaluate the number and the position of the contact points and, for each point, the contact forces and torques 4) the models have to be implementable directly online within the multibody models without look - up tables 5) the models have to assure computation times comparable with those of commercial multibody software (Simpack Rail, Adams Rail) and compatible with RT and HIL applications 6) the models have to be compatible with commercial multibody software (Simpack Rail, Adams Rail). The most innovative aspect of the new global contact models regards the detection of the contact points. In particular both the models aim to reduce the algebraic problem dimension by means of suitable analytical techniques. This kind of reduction allows to obtain an high numerical efficiency that makes possible the online implementation of the new procedure and the achievement of performance comparable with those of commercial multibody software. At the same time the analytical approach assures high accuracy and generality. Concerning the local (or differential) contact models, one new model satisfying the following specifics will be presented: 1) the model has to be 3D and to consider all the six relative degrees of freedom between wheel and rail 2) the model has to consider generic railway tracks and generic wheel and rail profiles 3) the model has to assure a general and accurate handling of the multiple contact without simplifying hypotheses on the problem geometry; in particular the model has to able to calculate both the global contact variables (contact forces and torques) and the local contact variables (position and shape of the contact patch, stresses and displacements) 4) the model has to be implementable directly online within the multibody models 5) the model has to assure high numerical efficiency and a reduced memory consumption in order to achieve a good integration between multibody and differential modeling (the base for the local contact models) 6) the model has to be compatible with commercial multibody software (Simpack Rail, Adams Rail). In this case the most innovative aspects of the new local contact model regard the contact modeling (by means of suitable analytical conditions) and the implementation of the numerical algorithms needed to solve the discrete problem arising from the discretization of the original continuum problem. Moreover, during the development of the local model, the achievement of a good compromise between accuracy and efficiency turned out to be very important to obtain a good integration between multibody and differential modeling. At this point the contact models has been inserted within a 3D multibody model of a railway vehicle to obtain a complete model of the wagon. The railway vehicle chosen as benchmark is the Manchester Wagon the physical and geometrical characteristics of which are easily available in the literature. The model of the whole railway vehicle (multibody model and contact model) has been implemented in the Matlab/Simulink environment. The multibody model has been implemented in SimMechanics, a Matlab toolbox specifically designed for multibody dynamics, while, as regards the contact models, the CS – functions have been used; this particular Matlab architecture allows to efficiently connect the Matlab/Simulink and the C/C++ environment. The 3D multibody model of the same vehicle (this time equipped with a standard contact model based on the semi - elastic approach) has been then implemented also in Simpack Rail, a commercial multibody software for railway vehicles widely tested and validated. Finally numerical simulations of the vehicle dynamics have been carried out on many different railway tracks with the aim of evaluating the performances of the whole model. The comparison between the results obtained by the Matlab/ Simulink model and those obtained by the Simpack Rail model has allowed an accurate and reliable validation of the new contact models. In conclusion to this brief introduction to my Ph. D. thesis, we would like to thank Trenitalia and the Regione Toscana for the support provided during all the Ph. D. activity. Moreover we would also like to thank the INTEC GmbH, the society the develops the software Simpack Rail, with which we are currently working together to develop innovative toolboxes specifically designed for the wheel rail contact analysis.

Nonlinear dynamics of a satellite with deployable solar panel arrays

The multibody dynamics of a satellite in circular orbit, modeled as a central body with two hinge-connected deployable solar panel arrays, is investigated. Typically, the solar panel arrays are deployed in orbit using preloaded torsional springs at the hinges in a near symmetrical accordion manner, to minimize the shock loads at the hinges. There are five degrees of freedom of the interconnected rigid bodies, composed of coupled attitude motions (pitch, yaw and roll) of the central body plus relative rotations of the solar panel arrays. The dynamical equations of motion of the satellite system are derived using Kane's equations. These are then used to investigate the dynamic behavior of the system during solar panel deployment via the 7-8th-order Runge-Kutta integration algorithms and results are compared with approximate analytical solutions. Chaotic attitude motions of the completely deployed satellite in circular orbit under the influence of the gravity-gradient torques are subsequently investigated analytically using Melnikov's method and confirmed via numerical integration. The Hamiltonian equations in terms of Deprit's variables are used to facilitate the analysis. (C) 2003 Published by Elsevier Ltd.

On the requirements of interpolating polynomials for path motion constraints

In the framework of multibody dynamics, the path motion constraint enforces that a body follows a predefined curve being its rotations with respect to the curve moving frame also prescribed. The kinematic constraint formulation requires the evaluation of the fourth derivative of the curve with respect to its arc length. Regardless of the fact that higher order polynomials lead to unwanted curve oscillations, at least a fifth order polynomials is required to formulate this constraint. From the point of view of geometric control lower order polynomials are preferred. This work shows that for multibody dynamic formulations with dependent coordinates the use of cubic polynomials is possible, being the dynamic response similar to that obtained with higher order polynomials. The stabilization of the equations of motion, always required to control the constraint violations during long analysis periods due to the inherent numerical errors of the integration process, is enough to correct the error introduced by using a lower order polynomial interpolation and thus forfeiting the analytical requirement for higher order polynomials.

Railway vehicle modelling for the vehicle-track interaction compatibility analysis

Railway vehicle homologation, with respect to running dynamics, is addressed via dedicated norms. The results required, such as, accelerations and/or wheel-rail contact forces, obtained from experimental tests or simulations, must be available. Multibody dynamics allows the modelling of railway vehicles and their representation in real operations conditions, being the realism of the multibody models greatly influenced by the modelling assumptions. In this paper, two alternative multibody models of the Light Rail Vehicle 2000 (LRV) are constructed and simulated in a realistic railway track scenarios. The vehicle-track interaction compatibility analysis consists of two stages: the use of the simplified method described in the norm "UIC 518-Testing and Approval of Railway Vehicles from the Point of View of their Dynamic Behaviour-Safety-Track Fatigue-Running Behaviour" for decision making; and, visualization inspection of the vehicle motion with respect to the track via dedicated tools for understanding the mechanisms involved.

A review of squeaking in ceramic total hip prostheses

The occurrence of audible squeaking in some patients with ceramic-on-ceramic (CoC) hip prostheses is a cause for concern. Considering multifactor contributing to this phenomenon, many studies have been conducted over the last decade. Great efforts have been put on understanding the mechanics of the hip squeaking to gain a deep insight into factors resulting in sound emission from hip articulation. Disruption of fluid-film lubrication and friction were reported as main potential causes of hip squeaking, while patient and surgical factors as well as design and material of hip implants were identified as affecting factors. This review article therefore summarised the recent available literature on this subject to provide a platform for future developments. Moreover, high wear rates and ceramic liner fracture as viable consequences of hip squeaking were discussed.

Pure elastic contact force models

"Series: Solid mechanics and its applications, vol. 226"

Dissipative contact force models

"Series: Solid mechanics and its applications, vol. 226"

Paalutuskoneen vakavuuslaskennan kehittäminen

Tässä diplomityössä tutkitaan paalutuskoneen stabiliteetti- elivakavuuslaskennan toteuttamista yleisesti käytetyn monikappaledynamiikan ohjelmiston avulla. Vakavuuslaskenta kuuluu olennaisena osana paalutuskoneen suunnitteluun ja siitä saadut tulokset asettavat rajat massoille, joita paalutuskone pystyy turvallisesti käsittelemään. Tutkittavana kohteena oli uudentyyppinen poraavapaalutuskone, josta saatiin myös todellista mittaustietoa työssä laaditun simulointimallin toimivuuden arvioimiseksi. Työssä kokeiltiin erityisesti ohjelmiston tarjoamia keinoja laskentaprosessin yksinkertaistamiseksi jasimulointimallin käytön helpottamiseksi. Koska simulointimalli haluttiin säilyttää mahdollisimman yksinkertaisena, porakoneen komponentit mallinnettiin jäykkinä. Mallin ratkaisussa käytettiin staattista ja kvasistaattista analyysia. Dynaamisten voimien vaikutus porakoneeseen otettiin mallissa huomioon lisäämällä massakeskipisteisiin vastaavat pistevoimat.

Rullaussylinterin ja painotelan mallinnus kiinnirullaimen simulointiin

Diplomityössä tutkitaan kaupallisen simulointiohjelmiston soveltuvuutta nykyaikaisen kiinnirullaimen dynamiikan tutkimiseen. Kiinnostuksen kohteena on erityisesti kahden telan välinen nippi, sekä siinä tapahtuvat värähtelyt. Työssä mallinnetaan rullaussylinterin ja telapainolaitteen simulointimallit. Rullaussylinterin simulointimalli yhdistetään Lappeenrannan teknillisessä korkeakoulussa mallinnettuun tampuuritelan simulointimalliin, jolloin nippikontaktin tutkiminen on mahdollista. Simuloituja tuloksia verrataan todellisella laitteella tehtyihin mittauksiin sekä elementtimenetelmällä laskettuihin tuloksiin. Diplomityön mekaniikka mallinnetaan ADAMS-ohjelmistossa monikappaledynamiikan keinoin. Toimilaitteiden sekä säätöjärjestelmien kuvaukseen käytetään MATLAB Simulink-ohjelmistoa. Telojen joustavuuden mallinnuksessa käytetään hyväksi keskittyneiden massojen periaatetta. Järjestelmän hydraulipiirit mallinnetaan keskittyneiden paineiden teorian mukaisesti ja toimilaitteiden mallinnuksessa käytetään puoliempiiristä mallinnustekniikkaa. Työssä havaitaan monikappaledynamiikan soveltuvan kiinnirullaimen dynamiikan tutkimiseen. Kahden diplomityön tuloksena laaditun nippimallin avulla voidaan kuvata rullaustapahtumassa vaikuttavat voimat oikein. Värähtelymittausten perusteella voidaan tehdä karkeita johtopäätöksiä, mallin toimivuuden arvioimiseksi värähtelyjen kuvaamisessa, joskin mallin havaitaan vaativan lisätutkimusta ja kehitystyötä.

Sähköisen lineaariservomoottorijärjestelmän dynamiikan simulointi

Työssä johdettiin sähköisen lineaariservomoottorijärjestelmän dynaaminen malli. Lineaarimoottori on keksintönä vanha, mutta vasta viimeaikoina kestomagneettimateriaalien kehittyessä ja halvetessa lineaarimoottorista on tullut varteenotettava vaihtoehto pyörivän moottorin ja lineaarisen liikkeen toteuttavan mekanismin yhdistelmälle. Kestomagnetoituja lineaarimoottoreita käytetään sovelluksissa, joissa tarvitaan tarkkaa paikoitusta ja nopeudella ja kiihtyvyydellä on suuret vaatimukset. Moottorimalli toteutettiin vuorovaikutteisena simulointimallina. Moottorimalli, josta saatiin moottorin voima, rakennettiin MatLabâ 6.0/Simulinkâ –ohjelmalle ja moottoriin kiinnitetyn mekaniikan malli ADAMS 10.0 –ohjelmalle. Mallit on liitetty tämän jälkeen vuorovaikutteiseksi simulointimalliksi. Simuloinnista saatuja tuloksia on verrattu koneautomaation laboratorioon hankitun lineaarimoottorijärjestelmän mitattuihin vasteisiin.

In-Vessel Penetrator -käärmerobotin mallinnus ADAMS-ohjelmistolla

Työn tavoitteena oli muodostaa virtuaaliprototyyppi fuusioreaktorin huollossa käytettävästä IVP-robotista. Työssä mallinnettiin robotin mekaniikka joustavana sekä toimilaitteiden ja käyttöjen dynaamiset ominaisuudet valmistajien esitietojen ja mitoitustietojen perusteella. Käyttöjen ja mekaniikan mallit yhdistettiin ADAMS-ohjelmistossa. Mekaanisten joustojen mallinnuksessa sekä verifioinnissa käytettiin apuna ANSYS –ohjelmistoa. Virtuaaliprototyypin toimivuudesta varmistuttiin vertaamalla sitä robotin suunnittelutietoihin ja fyysiseen prototyyppiin. Robotin ohjauksessa käytettävän P-säätäjän vaikutusta tutkittiin eri vahvistuksen arvoilla sekä verrattiin mekaanisia vasteita fyysisen prototyypin dynaamisiin testeihin. Esimerkkinä robotin käyttäytymisestä todellisessa tilanteessa simuloitiin sen ajoa reaktoriin. Toteutetun simulointimallin todettiin vastaavan rakenteeltaan sekä siinä esiintyvien voimien osalta suunnitelmien mukaista konstruktiota. Käytetyillä parametreilla se toteutti hyvin robotille asetetut nopeusvaatimukset.

Täryseulan dynamiikan simulointi

Työssä selvitetään voidaanko täryseulan dynamiikkaa simuloida monikappaledynamiikkaohjelmiston avulla. Seulan simulointimallilla tutkitaan toimintaparametrien vaikutusta koneen liikerataan. Lisäksi tutkitaan voidaanko Jeffcott roottorimallin avulla simuloida yhdestä täryakselista koostuvan täryseulan liikerata. The objective of this study is to simulate dynamics of the vibrating screen using multibody dynamics. The effect of the operating parameters is studied using the simulation model. In addition the principles of Jeffcott rotor are applied to find out the trajectories of the vibrating screen consisting of single axis.

Novel Robot Solutions for Carrying out Field Joint Welding and Machining in the Assembly of the Vacuum Vessel of ITER

It is necessary to use highly specialized robots in ITER (International Thermonuclear Experimental Reactor) both in the manufacturing and maintenance of the reactor due to a demanding environment. The sectors of the ITER vacuum vessel (VV) require more stringent tolerances than normally expected for the size of the structure involved. VV consists of nine sectors that are to be welded together. The vacuum vessel has a toroidal chamber structure. The task of the designed robot is to carry the welding apparatus along a path with a stringent tolerance during the assembly operation. In addition to the initial vacuum vessel assembly, after a limited running period, sectors need to be replaced for repair. Mechanisms with closed-loop kinematic chains are used in the design of robots in this work. One version is a purely parallel manipulator and another is a hybrid manipulator where the parallel and serial structures are combined. Traditional industrial robots that generally have the links actuated in series are inherently not very rigid and have poor dynamic performance in high speed and high dynamic loading conditions. Compared with open chain manipulators, parallel manipulators have high stiffness, high accuracy and a high force/torque capacity in a reduced workspace. Parallel manipulators have a mechanical architecture where all of the links are connected to the base and to the end-effector of the robot. The purpose of this thesis is to develop special parallel robots for the assembly, machining and repairing of the VV of the ITER. The process of the assembly and machining of the vacuum vessel needs a special robot. By studying the structure of the vacuum vessel, two novel parallel robots were designed and built; they have six and ten degrees of freedom driven by hydraulic cylinders and electrical servo motors. Kinematic models for the proposed robots were defined and two prototypes built. Experiments for machine cutting and laser welding with the 6-DOF robot were carried out. It was demonstrated that the parallel robots are capable of holding all necessary machining tools and welding end-effectors in all positions accurately and stably inside the vacuum vessel sector. The kinematic models appeared to be complex especially in the case of the 10-DOF robot because of its redundant structure. Multibody dynamics simulations were carried out, ensuring sufficient stiffness during the robot motion. The entire design and testing processes of the robots appeared to be complex tasks due to the high specialization of the manufacturing technology needed in the ITER reactor, while the results demonstrate the applicability of the proposed solutions quite well. The results offer not only devices but also a methodology for the assembly and repair of ITER by means of parallel robots.