972 resultados para Time Integration
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We analyze folding phenomena in finely layered viscoelastic rock. Fine is meant in the sense that the thickness of each layer is considerably smaller than characteristic structural dimensions. For this purpose we derive constitutive relations and apply a computational simulation scheme (a finite-element based particle advection scheme; see MORESI et al., 2001) suitable for problems involving very large deformations of layered viscous and viscoelastic rocks. An algorithm for the time integration of the governing equations as well as details of the finite-element implementation is also given. We then consider buckling instabilities in a finite, rectangular domain. Embedded within this domain, parallel to the longer dimension we consider a stiff, layered plate. The domain is compressed along the layer axis by prescribing velocities along the sides. First, for the viscous limit we consider the response to a series of harmonic perturbations of the director orientation. The Fourier spectra of the initial folding velocity are compared for different viscosity ratios. Turning to the nonlinear regime we analyze viscoelastic folding histories up to 40% shortening. The effect of layering manifests itself in that appreciable buckling instabilities are obtained at much lower viscosity ratios (1:10) as is required for the buckling of isotropic plates (1:500). The wavelength induced by the initial harmonic perturbation of the director orientation seems to be persistent. In the section of the parameter space considered here elasticity seems to delay or inhibit the occurrence of a second, larger wavelength. Finally, in a linear instability analysis we undertake a brief excursion into the potential role of couple stresses on the folding process. The linear instability analysis also provides insight into the expected modes of deformation at the onset of instability, and the different regimes of behavior one might expect to observe.
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Most finite element packages use the Newmark algorithm for time integration of structural dynamics. Various algorithms have been proposed to better optimize the high frequency dissipation of this algorithm. Hulbert and Chung proposed both implicit and explicit forms of the generalized alpha method. The algorithms optimize high frequency dissipation effectively, and despite recent work on algorithms that possess momentum conserving/energy dissipative properties in a non-linear context, the generalized alpha method remains an efficient way to solve many problems, especially with adaptive timestep control. However, the implicit and explicit algorithms use incompatible parameter sets and cannot be used together in a spatial partition, whereas this can be done for the Newmark algorithm, as Hughes and Liu demonstrated, and for the HHT-alpha algorithm developed from it. The present paper shows that the explicit generalized alpha method can be rewritten so that it becomes compatible with the implicit form. All four algorithmic parameters can be matched between the explicit and implicit forms. An element interface between implicit and explicit partitions can then be used, analogous to that devised by Hughes and Liu to extend the Newmark method. The stability of the explicit/implicit algorithm is examined in a linear context and found to exceed that of the explicit partition. The element partition is significantly less dissipative of intermediate frequencies than one using the HHT-alpha method. The explicit algorithm can also be rewritten so that the discrete equation of motion evaluates forces from displacements and velocities found at the predicted mid-point of a cycle. Copyright (C) 2003 John Wiley Sons, Ltd.
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Subcycling, or the use of different timesteps at different nodes, can be an effective way of improving the computational efficiency of explicit transient dynamic structural solutions. The method that has been most widely adopted uses a nodal partition. extending the central difference method, in which small timestep updates are performed interpolating on the displacement at neighbouring large timestep nodes. This approach leads to narrow bands of unstable timesteps or statistical stability. It also can be in error due to lack of momentum conservation on the timestep interface. The author has previously proposed energy conserving algorithms that avoid the first problem of statistical stability. However, these sacrifice accuracy to achieve stability. An approach to conserve momentum on an element interface by adding partial velocities is considered here. Applied to extend the central difference method. this approach is simple. and has accuracy advantages. The method can be programmed by summing impulses of internal forces, evaluated using local element timesteps, in order to predict a velocity change at a node. However, it is still only statistically stable, so an adaptive timestep size is needed to monitor accuracy and to be adjusted if necessary. By replacing the central difference method with the explicit generalized alpha method. it is possible to gain stability by dissipating the high frequency response that leads to stability problems. However. coding the algorithm is less elegant, as the response depends on previous partial accelerations. Extension to implicit integration, is shown to be impractical due to the neglect of remote effects of internal forces acting across a timestep interface. (C) 2002 Elsevier Science B.V. All rights reserved.
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Post-processing a finite element solution is a well-known technique, which consists in a recalculation of the originally obtained quantities such that the rate of convergence increases without the need for expensive remeshing techniques. Postprocessing is especially effective in problems where better accuracy is required for derivatives of nodal variables in regions where Dirichlet essential boundary condition is imposed strongly. Consequently such an approach can be exceptionally good in modelling of resin infiltration under quasi steady-state assumption by remeshing techniques and with explicit time integration, because only the free-front normal velocities are necessary to advance the resin front to the next position. The new contribution is the post-processing analysis and implementation of the freeboundary velocities of mesolevel infiltration analysis. Such implementation ensures better accuracy on even coarser meshes, which in consequence reduces the computational time also by the possibility of employing larger time steps.
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Dissertation submitted in partial fulfillment of the requirements for the Degree of Master of Science in Geospatial Technologies.
Numerical Assessment of the out-of-plane response of a brick masonry structure without box behaviour
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This paper presents the assessment of the out-of-plane response due to seismic loading of a masonry structure without rigid diaphragm. This structure corresponds to real scale brick masonry specimen with a main façade connected to two return walls. Two modelling approaches were defined for this evaluation. The first one consisted on macro modelling, whereas the second one on simplified micro modelling. As a first step of this study, static nonlinear analyses were conducted to the macro model aiming at evaluating the out-of-plane response and failure mechanism of the masonry structure. A sensibility analyses was performed in order to assess the mesh size and material model dependency. In addition, the macro models were subjected to dynamic nonlinear analyses with time integration in order to assess the collapse mechanism. Finally, these analyses were also applied to a simplified micro model of the masonry structure. Furthermore, these results were compared to experimental response from shaking table tests. It was observed that these numerical techniques simulate correctly the in-plane behaviour of masonry structures. However, the
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Existing masonry structures are usually associated to a high seismic vulnerability, mainly due to the properties of the materials, weak connections between floors and load-bearing walls, high mass of the masonry walls and flexibility of the floors. For these reasons, the seismic performance of existing masonry structures has received much attention in the last decades. This study presents the parametric analysis taking into account the deviations on features of the gaioleiro buildings - Portuguese building typology. The main objective of the parametric analysis is to compare the seismic performance of the structure as a function of the variations of its properties with respect to the response of a reference model. The parametric analysis was carried out for two types of structural analysis, namely for the non-linear dynamic analysis with time integration and for the pushover analysis with distribution of forces proportional to the inertial forces of the structure. The Young's modulus of the masonry walls, Young's modulus of the timber floors, the compressive and tensile non-linear properties (strength and fracture energy) were the properties considered in both type of analysis. Additionally, in the dynamic analysis, the influences of the vis-cous damping and of the vertical component of the earthquake were evaluated. A pushover analysis proportional to the modal displacement of the first mode in each direction was also carried out. The results shows that the Young's modulus of the masonry walls, the Young's modulus of the timber floors and the compressive non-linear properties are the pa-rameters that most influence the seismic performance of this type of tall and weak existing masonry structures. Furthermore, it is concluded that that the stiffness of the floors influences significantly the strength capacity and the collapse mecha-nism of the numerical model. Thus, a study on the strengthening of the floors was also carried out. The increase of the thickness of the timber floors was the strengthening technique that presented the best seismic performance, in which the reduction of the out-of-plane displacements of the masonry walls is highlighted.
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In a world where poor countries provide weak protection for intellectual property rights (IPRs), market integration shifts technical change in favor of rich nations. Through this channel, free trade may amplify international income differences. At the same time, integration with countries where IPRs are weakly protected can slow down the world growth rate. An important implication of these results is that protection of intellectual property is most beneficial in open countries. This prediction, which is novel in the literature, is consistent with evidence from a panel of 53 countries observed in the years 1965-1990. The paper also provides empirical support for the mechanism linking North-South trade to the direction of technical change: an increase in import penetration from low-wage, low-IPRs, countries is followed by a sharp fall in R&D investment in a panel of US manufacturing sectors.
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This article presents recent WMR (wheeled mobile robot) navigation experiences using local perception knowledge provided by monocular and odometer systems. A local narrow perception horizon is used to plan safety trajectories towards the objective. Therefore, monocular data are proposed as a way to obtain real time local information by building two dimensional occupancy grids through a time integration of the frames. The path planning is accomplished by using attraction potential fields, while the trajectory tracking is performed by using model predictive control techniques. The results are faced to indoor situations by using the lab available platform consisting in a differential driven mobile robot
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In a world where poor countries provide weak protection for intellectual property rights, market integration shifts technical change in favor of rich nations. Through this channel, free trade may amplify international income differences. At the same time, integration with countries where intellectual property rights are weakly protected can slow down the world growth rate. A crucial implication of these results is that protection of intellectual property is most beneficial in open countries. This prediction, which is novel in the literature, finds support in the data on a panel of 53 countries observed in the years 1965-1990.
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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.
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In this article a two-dimensional transient boundary element formulation based on the mass matrix approach is discussed. The implicit formulation of the method to deal with elastoplastic analysis is considered, as well as the way to deal with viscous damping effects. The time integration processes are based on the Newmark rhoand Houbolt methods, while the domain integrals for mass, elastoplastic and damping effects are carried out by the well known cell approximation technique. The boundary element algebraic relations are also coupled with finite element frame relations to solve stiffened domains. Some examples to illustrate the accuracy and efficiency of the proposed formulation are also presented.
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Ajoneuvojen reititystä on tutkittu 1950-luvulta asti, alunperin etsiessä polttoainekuljetuksille optimaalisinta reittiä varastolta useille palveluasemille. Siitä lähtien ajoneuvon reititystehtäviä on tutkittu akateemisesti ja niistä on muodostettu kymmeniä erilaisia variaatioita. Tehtävien ratkaisumenetelmät jaetaan tyypillisesti tarkkoihin menetelmiin sekä heuristiikkoihin ja metaheuristiikkoihin. Konetehon ja heuristiikoissa käytettävien algoritmien kehittymisen myötä reitinoptimointia on alettu tarjota kaupallisesti. CO-SKY-projektin tavoitteena on kaupallistaa web-pohjainen tai toiminnanohjausjärjestelmään integroitava ajoneuvon reititys. Diplomityössä tutkitaan kuljetustensuunnittelu- ja reitinoptimointiohjelmistojen kaupallistamiseen vaikuttavia keskeisiä ominaisuuksia. Ominaisuuksia on tarkasteltu: 1) erityisesti pk-kuljetusyritysten tarpeiden ja vaatimusten pohjalta, ja 2) markkinoilla olevien ohjelmistojen tarjontaa arvioiden. Näiden pohjalta on myös pyritty arvioimaan kysynnän ja tarjonnan kohtaamista. Pilottiasiakkaita haastattelemalla ohjelmistolle on kyetty asettamaan vaatimuksia, mutta samalla on kuultu käyttäjien mielipiteitä optimoinnista. Lukuisia logistiikkaohjelmistojen tarjoajia on haastateltu logistiikkamessuilla sekä Suomessa että Saksassa. Haastattelujen perusteella on saatu käsitys kyseisistä ohjelmista sekä optimoinnin tarjonnasta että kysynnästä. Akateeminen tutkimus aiheesta on laajaa, koskien niin teknistä toteutusta kuin myös (kysely-)tutkimuksia tarjolla olevien ohjelmistojen ominaisuuksista ja laadusta. Kuljetusyritysten tarpeissa on vaihtelua yritys- ja alakohtaisesti. Perusongelmat ovat samoja, joita reitinoptimoinnin akateemisessa tutkimuksessa käsitellään ja joita kaupalliset ohjelmistot pystyvät ratkaisemaan. Vaikka reitinoptimoinnilla saatavat hyödyt ovat mitattavissa, suunnittelu etenkin pk-yrityksissä tehdään pääosin yhä käsin. Messuhaastattelujen ja loppukäyttäjien mielipiteiden perusteella voidaan todeta kaupallisten ratkaisujen olevan suunniteltu isommille kuljetusyrityksille: tyypillisen it-projektin hinta, käyttöönottoaika ja asennus sekä ratkaisun takaisinmaksuaika vaikuttavat pk-yritysten hankintapäätökseen. Kaupallistamiseen liittyen haasteet liittyvät erityisesti segmentointiin ja markkinointiin asiakasarvon todentamisen ja sen välittämisen kautta.
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The assembly and maintenance of the International Thermonuclear Experimental Reactor (ITER) vacuum vessel (VV) is highly challenging since the tasks performed by the robot involve welding, material handling, and machine cutting from inside the VV. The VV is made of stainless steel, which has poor machinability and tends to work harden very rapidly, and all the machining operations need to be carried out from inside of the ITER VV. A general industrial robot cannot be used due to its poor stiffness in the heavy duty machining process, and this will cause many problems, such as poor surface quality, tool damage, low accuracy. Therefore, one of the most suitable options should be a light weight mobile robot which is able to move around inside of the VV and perform different machining tasks by replacing different cutting tools. Reducing the mass of the robot manipulators offers many advantages: reduced material costs, reduced power consumption, the possibility of using smaller actuators, and a higher payload-to-robot weight ratio. Offsetting these advantages, the lighter weight robot is more flexible, which makes it more difficult to control. To achieve good machining surface quality, the tracking of the end effector must be accurate, and an accurate model for a more flexible robot must be constructed. This thesis studies the dynamics and control of a 10 degree-of-freedom (DOF) redundant hybrid robot (4-DOF serial mechanism and 6-DOF 6-UPS hexapod parallel mechanisms) hydraulically driven with flexible rods under the influence of machining forces. Firstly, the flexibility of the bodies is described using the floating frame of reference method (FFRF). A finite element model (FEM) provided the Craig-Bampton (CB) modes needed for the FFRF. A dynamic model of the system of six closed loop mechanisms was assembled using the constrained Lagrange equations and the Lagrange multiplier method. Subsequently, the reaction forces between the parallel and serial parts were used to study the dynamics of the serial robot. A PID control based on position predictions was implemented independently to control the hydraulic cylinders of the robot. Secondly, in machining, to achieve greater end effector trajectory tracking accuracy for surface quality, a robust control of the actuators for the flexible link has to be deduced. This thesis investigates the intelligent control of a hydraulically driven parallel robot part based on the dynamic model and two schemes of intelligent control for a hydraulically driven parallel mechanism based on the dynamic model: (1) a fuzzy-PID self-tuning controller composed of the conventional PID control and with fuzzy logic, and (2) adaptive neuro-fuzzy inference system-PID (ANFIS-PID) self-tuning of the gains of the PID controller, which are implemented independently to control each hydraulic cylinder of the parallel mechanism based on rod length predictions. The serial component of the hybrid robot can be analyzed using the equilibrium of reaction forces at the universal joint connections of the hexa-element. To achieve precise positional control of the end effector for maximum precision machining, the hydraulic cylinder should be controlled to hold the hexa-element. Thirdly, a finite element approach of multibody systems using the Special Euclidean group SE(3) framework is presented for a parallel mechanism with flexible piston rods under the influence of machining forces. The flexibility of the bodies is described using the nonlinear interpolation method with an exponential map. The equations of motion take the form of a differential algebraic equation on a Lie group, which is solved using a Lie group time integration scheme. The method relies on the local description of motions, so that it provides a singularity-free formulation, and no parameterization of the nodal variables needs to be introduced. The flexible slider constraint is formulated using a Lie group and used for modeling a flexible rod sliding inside a cylinder. The dynamic model of the system of six closed loop mechanisms was assembled using Hamilton’s principle and the Lagrange multiplier method. A linearized hydraulic control system based on rod length predictions was implemented independently to control the hydraulic cylinders. Consequently, the results of the simulations demonstrating the behavior of the robot machine are presented for each case study. In conclusion, this thesis studies the dynamic analysis of a special hybrid (serialparallel) robot for the above-mentioned special task involving the ITER and investigates different control algorithms that can significantly improve machining performance. These analyses and results provide valuable insight into the design and control of the parallel robot with flexible rods.
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Ce mémoire a pour objet d’étude le processus de succession dans les entreprises familiales. Pour la collecte de données, nous avons choisi d’utiliser l’entrevue semi-dirigée. Notre corpus d’analyse consiste en une petite entreprise familiale québécoise oeuvrant dans le secteur des services professionnels, qui vit présentement un transfert de la première à la deuxième génération. Au total, nous avons réalisé des entrevues avec cinq personnes : les deux propriétaires-dirigeants actuels qui sont en voie d’être succédés, leur successeure,ainsi que deux employés ayant vécu de près la succession. Nous nous sommes intéressés plus spécifiquement à la dimension communicationnelle du processus de succession, dont nous avons fait la démonstration à l’aide du modèle discursif de l’organisation de Taylor (1993). Cet exercice nous a permis d’observer deux moments clés du processus, soit l’intégration à plein temps du successeur dans l’entreprise, et le moment où le rôle de leader lui est transféré, rejoignant ainsi les conclusions de Longenecker et Schoen (1978).