Stochastic Finite Element Analysis of Thermoelastic Effects in Micro-Resonators; Golinval, Jean-Claude ![]() Conference (2006, July 17) In the design of micro-electromechanical systems (MEMS) such as micro-resonators, dissipation mechanisms may have detrimental effects on the quality factor. One of the major dissipation phenomena to ... [more ▼] In the design of micro-electromechanical systems (MEMS) such as micro-resonators, dissipation mechanisms may have detrimental effects on the quality factor. One of the major dissipation phenomena to consider in such systems is thermoelastic damping. Hence, the performance of such MEMS is directly related to their thermoelastic quality factor which has to be predicted accurately. Moreover, the performance of MEMS can vary because manufacturing processes may leave substantial uncertainty in the geometry and in the material properties of the device. The reliability of MEMS devices is affected by the inability to accurately predict the stochastic behavior of the system due to the presence of these uncertainties. The aim of this paper is to provide a framework to account for uncertainties in the finite element analysis of the thermoelastic quality factor. The present work focuses on second moment approaches, in which the first two statistical moments, i.e. the mean and the variance, are estimated. The perturbation stochastic finite element method is used in order to determine the mean and the variance of the thermoelastic quality factor of MEMS. The perturbation SFEM [1] consists in a deterministic analysis complemented by a sensitivity analysis with respect to the random parameters. This enables the development of a Taylor series expansion of the response, from which the mean and variance of the response can be derived knowing the mean and variance of the random parameters. The perturbation SFEM is applied on the analysis of the thermoelastic quality factor of a micro-beam whose elastic modulus is considered as a random variable. Due to the nature of the thermoelastic problem, this study involves the calculation of eigenvalue sensitivities of a non-symmetric damped system [2]. The mean and variance of the quality factor are compared to the results obtained by Monte-Carlo simulations. References: [1] Kleiber, M., Hien, T.D., The stochastic finite element method: basic perturbation technique and computer implementation. Wiley & Sons, Chichester, 1992. [2] Choi, K.M., Jo, H.K., Kim, W.H., Lee, I.W., Sensitivity analysis of non-conservative eigensystems, Journal of Sound and Vibration, v. 274, p. 997-1011, 2004. [less ▲] Detailed reference viewed: 28 (0 ULg) Stochastic generation of meteorological variables and effects on global models of water and carbon cycles in vegetation and soilsHubert, Benoît ; François, Louis ; Warnant, Pierre et alin Journal of Hydrology (1998), 213(1-4), 318-334 Global models of water and carbon cycles in continental vegetation and soils are usually forced with monthly mean climatic data-sets and thus neglect day to day variations of the weather. This treatment ... [more ▼] Global models of water and carbon cycles in continental vegetation and soils are usually forced with monthly mean climatic data-sets and thus neglect day to day variations of the weather. This treatment may be justified for empirical models based on parametrizations validated at a monthly timescale. Mechanistic models handling hydrological and biological processes at much shorter timescales might, however, be largely affected by such an approximation, since the various processes described are highly nonlinear. A random generator of daily precipitations and temperatures applicable at the global scale has thus been developed from worldwide meteorological data covering 6 years of observations. The probability of a wet day is correlated to the weather encountered the previous day. The amount of precipitation, the daily mean temperature and the diurnal. range of temperature are described from the statistical point of view by the cumulative distribution functions (CDF) of three random variables. The CDF's a relative to temperatures are different for rainy and dry days. This stochastically generated weather field is used as input to IBM (Improved Bucket Model) and CARAIB (CARbon Assimilation In the Biosphere), two global models of respectively soil hydrology and vegetation productivity. Large differences in both the geographical distribution and the global value of soil water, vegetation productivity and carbon stocks are obtained between the model runs using monthly uniform weather on one side and randomly generated weather on the other. The main contribution to this difference at the global scale arises from the precipitation generation occurring as a result of high degree of nonlinearity of the interception scheme used in IBM. (C) 1998 Elsevier Science B.V. All rights reserved. [less ▲] Detailed reference viewed: 15 (7 ULg) Stochastic generation of precipitation and effect on vegetation net primary productionHubert, Benoît ; François, Louis ; Warnant, Pierre ![]() in Global Energy and Water Cycle Experiment news (1995), 5 Detailed reference viewed: 5 (0 ULg) Stochastic gravito-inertial modes discovered by CoRoT in the hot Be star HD 51452; ; et al in Astronomy and Astrophysics (2012), 546 Context. Be stars are rapidly rotating stars with a circumstellar decretion disk. They usually undergo pressure and/or gravity pulsation modes excited by the κ-mechanism, i.e. an effect of the opacity of ... [more ▼] Context. Be stars are rapidly rotating stars with a circumstellar decretion disk. They usually undergo pressure and/or gravity pulsation modes excited by the κ-mechanism, i.e. an effect of the opacity of iron-peak elements in the envelope of the star. In the Milky Way, p-modes are observed in stars that are hotter than or equal to the B3 spectral type, while g-modes are observed at the B2 spectral type and cooler. <BR /> Aims: We observed a B0IVe star, HD 51452, with the high-precision, high-cadence photometric CoRoT satellite and high-resolution, ground-based HARPS and SOPHIE spectrographs to study its pulsations in great detail. We also used the lower resolution spectra available in the BeSS database. <BR /> Methods: We analyzed the CoRoT and spectroscopic data with several methods: Clean-NG, FreqFind, and a sliding window method. We also analyzed spectral quantities, such as the violet over red (V/R) emission variations, to obtain information about the variation in the circumstellar environment. We calculated a stellar structure model with the ESTER code to test the various interpretation of the results. <BR /> Results: We detect 189 frequencies of variations in the CoRoT light curve in the range between 0 and 4.5 c d[SUP]-1[/SUP]. The main frequencies are also recovered in the spectroscopic data. In particular we find that HD 51452 undergoes gravito-inertial modes that are not in the domain of those excited by the κ-mechanism. We propose that these are stochastic modes excited in the convective zones and that at least some of them are a multiplet of r-modes (i.e. subinertial modes mainly driven by the Coriolis acceleration). Stochastically excited gravito-inertial modes had never been observed in any star, and theory predicted that their very low amplitudes would be undetectable even with CoRoT. We suggest that the amplitudes are enhanced in HD 51452 because of the very rapid stellar rotation. In addition, we find that the amplitude variations of these modes are related to the occurrence of minor outbursts. <BR /> Conclusions: Thanks to CoRoT data, we have detected a new kind of pulsations in HD 51452, which are stochastically excited gravito-inertial modes, probably due to its very rapid rotation. These modes are probably also present in other rapidly rotating hot Be stars. The CoRoT space mission, launched on December 27, 2006, has been developed and is operated by CNES, with the contribution of Austria, Belgium, Brazil, ESA (RSSD, and Science Programs), Germany, and Spain. This work uses observations partly made with the HARPS instrument at the 3.6-m ESO telescope (La Silla, Chile) in the framework of the LP182.D-0356, as well as data obtained with Sophie at OHP and from the BeSS database.Table 3 is available in electronic form at <A href="http://www.aanda.org">http://www.aanda.org</A> [less ▲] Detailed reference viewed: 16 (3 ULg) Stochastic Modal Analysis of Structures with Random Shape Using X-FEM; Van Miegroet, Laurent ; Duysinx, Pierre ![]() Conference (2008, July) Detailed reference viewed: 36 (2 ULg) Stochastic modeling in mechanics: course materialArnst, Maarten ; Dell'Elce, Lamberto ![]() Learning material (2013) Detailed reference viewed: 93 (38 ULg) Stochastic modeling of the gas-liquid trickling flow through a packed bedCrine, Michel ; Marchot, Pierre ![]() in Chemical and Biochemical Engineering (1988), 2 Detailed reference viewed: 4 (1 ULg) Stochastic modelling of micro-organisms displacements in a stirred-tank bioreactorDelafosse, Angélique ; Delvigne, Frank ; Collignon, Marie-Laure et alPoster (2010) Detailed reference viewed: 29 (15 ULg) Stochastic modelling of the hydrogeological environment in low permeability sediment; ; et al in Proceedings of IAMG 2003 (2003) In Belgium, the Boom Clay is being considered as a potential host formation for the disposal of nuclear waste. Part of the safety assessment and feasibility studies of a potential nuclear waste disposal ... [more ▼] In Belgium, the Boom Clay is being considered as a potential host formation for the disposal of nuclear waste. Part of the safety assessment and feasibility studies of a potential nuclear waste disposal consists of hydrogeological modeling. In order to model the groundwater flow and possible radionuclide transport in the clay, the spatial distribution of the hydraulic conductivity of the clay has to be assessed. In this study, geostatistical methods are used to characterize the hydraulic conductivity field. More specific, direct sequential simulation of the hydraulic conductivity is carried out, using measurements of hydraulic conductivity and 4 types of soft data or secondary variables: resistivity logs, gamma ray logs, grain size measurements and descriptions of the lithology. The primary and secondary information is analyzed with geostatistical tools and combined to generate 100 fields of the hydraulic conductivity of the Boom Clay. Next, each field is input to a groundwater flow model to predict the advective travel time of constituents released from the disposed waste in the Boom Clay to the aquifers surrounding the Boom Clay. Statistical analysis of the ensemble of model predictions results in a predictive distribution for the advective travel time. This distribution reflects the uncertainty of the advective travel time that results from the uncertainty of the spatial distribution of the hydraulic conductivity of the Boom Clay [less ▲] Detailed reference viewed: 38 (6 ULg) Stochastic models to study the impact of mixing on a fed-batch culture of Saccharomyces cerevisiae.Delvigne, Frank ; Lejeune, Annick ; Destain, Jacqueline et alin Biotechnology Progress (2006), 22(1), 259-69 The mechanisms of interaction between microorganisms and their environment in a stirred bioreactor can be modeled by a stochastic approach. The procedure comprises two submodels: a classical stochastic ... [more ▼] The mechanisms of interaction between microorganisms and their environment in a stirred bioreactor can be modeled by a stochastic approach. The procedure comprises two submodels: a classical stochastic model for the microbial cell circulation and a Markov chain model for the concentration gradient calculus. The advantage lies in the fact that the core of each submodel, i.e., the transition matrix (which contains the probabilities to shift from a perfectly mixed compartment to another in the bioreactor representation), is identical for the two cases. That means that both the particle circulation and fluid mixing process can be analyzed by use of the same modeling basis. This assumption has been validated by performing inert tracer (NaCl) and stained yeast cells dispersion experiments that have shown good agreement with simulation results. The stochastic model has been used to define a characteristic concentration profile experienced by the microorganisms during a fermentation test performed in a scale-down reactor. The concentration profiles obtained in this way can explain the scale-down effect in the case of a Saccharomyces cerevisiae fed-batch process. The simulation results are analyzed in order to give some explanations about the effect of the substrate fluctuation dynamics on S. cerevisiae. [less ▲] Detailed reference viewed: 29 (8 ULg) Stochastic Targeted (STAR) Glycemic Control - Design, Safety and Performance; ; et al in Journal of Diabetes Science and Technology (2012) Detailed reference viewed: 11 (2 ULg) Stochastic Uncertainty Quantification of Eddy Currents in the Human Body by Polynomial Chaos Decomposition; ; Vazquez Sabariego, Ruth et alScientific conference (2011, July 07) Detailed reference viewed: 9 (4 ULg) Stochastic uncertainty quantification of eddy currents in the human body by polynomial chaos decomposition; ; Vazquez Sabariego, Ruth et alin IEEE Transactions on Magnetics (2012), 48(2), 451-454 Detailed reference viewed: 5 (1 ULg) Stochastic Uncertainty Quantification of Eddy Currents in the Human Body by Polynomial Chaos DecompositionGaignaire, Roman ; ; V Sabariego, Ruth et al(2011) The finite element method can be used to compute the electromagnetic fields induced into the human body by envi- ronmental extremely low frequency fields. However, the electric properties of tissues are ... [more ▼] The finite element method can be used to compute the electromagnetic fields induced into the human body by envi- ronmental extremely low frequency fields. However, the electric properties of tissues are not precisely known and may vary depending on the individual, his/her age and other physiological parameters. We propose to account for some uncertainties on the conductivities of the brain tissues and to spread them out to the induced fields by means of a non-intrusive approach based on the chaos Hermite polynomial with the finite element method as a black box [3], [4]. [less ▲] Detailed reference viewed: 21 (3 ULg) Stochastic Uncertainty Quantification of the Conductivity in EEG Source Analysis by Using Polynomial Chaos DecompositionGaignaire, Roman ; ; et alin IEEE Transactions on Magnetics (2010), 46(8), 3457-3460 The electroencephalogram (EEG) is one of the techniques used for the non-invasive diagnosis of patients suffering from epilepsy. EEG source localization identifies the neural activity, starting from ... [more ▼] The electroencephalogram (EEG) is one of the techniques used for the non-invasive diagnosis of patients suffering from epilepsy. EEG source localization identifies the neural activity, starting from measured EEG. This numerical localization procedure has a resolution, which is difficult to determine due to uncertainties in the EEG forward models. More specifically, the conductivities of the brain and the skull in the head models are not precisely known. In this paper, we propose the use of a non-intrusive stochastic method based on a polynomial chaos decomposition for quantifying the possible errors introduced by the uncertain conductivities of the head tissues. The accuracy and computational advantages of this non-intrusive method for EEG source analysis is illustrated. Further, the method is validated by means of Monte Carlo simulations. [less ▲] Detailed reference viewed: 54 (11 ULg) Stock markets,banks and long run economic growth: a panel cointegration-based analysisCavenaile, Laurent ; ; E-print/Working paper (2011) The aim of this paper is to investigate the long run relationship between the development of banks and stock markets and economic growth. We make use of the Groen and Kleibergen (2003) panel cointegration ... [more ▼] The aim of this paper is to investigate the long run relationship between the development of banks and stock markets and economic growth. We make use of the Groen and Kleibergen (2003) panel cointegration methodology to test the number of cointegrating vectors among these three variables for 5 developing countries. In addition, we test the direction of potential causality between nancial and economic development. Our results conclude to the existence of a single cointegrating vector between nancial development and growth and of causality going from nancial development to economic growth. We nd little evidence of reverse causation as well as bi-directional causality. [less ▲] Detailed reference viewed: 11 (0 ULg) Stockage de bois chablis sous bâche; Jourez, Benoît ; Riguelle, Simon ![]() in Les infos de RND (2013, March), (1er semestre), 3-5 Le samedi 24 janvier 2009, la tempête Klaus traverse le sud-ouest de la France. Tempête la plus dévastatrice depuis 1999, la forêt des Landes et ses pins maritimes paient un lourd tribut à ce phénomène ... [more ▼] Le samedi 24 janvier 2009, la tempête Klaus traverse le sud-ouest de la France. Tempête la plus dévastatrice depuis 1999, la forêt des Landes et ses pins maritimes paient un lourd tribut à ce phénomène extrême: 60% de la superficie est touchée, environ 40 millions de m3 de bois sont à terre, quatre fois la récolte annuelle. Il faudra attendre plusieurs mois avant que les aires de stockage par aspersion soient opérationnelles. Trop tard, le pin maritime montre déjà des signes de bleuissement de son bois, il est invendable sur les marchés à forte valeur ajoutée, là où l’esthétisme prime. Écarté des meilleurs débouchés, le lambris et le plancher, le manque à gagner est énorme. Un tel scénario catastrophe, notre région s’y prépare depuis 2005, tirant les enseignements des expériences étrangères et fondant son action sur les spécificités de notre forêt, de notre filière. C’est dans ce cadre que le 28 février dernier, à Eupen, des grumes d’épicéa stockées depuis presque cinq ans ont été extraites des bâches hermétiques qui les protégeaient. Comment le bois est-il ressorti de cette épreuve? Que penser de cette méthode alternative de stockage? Quelle place lui réserver ? Benoit Jourez du Laboratoire de Technologie du Bois du DEMNA (Département de l’Étude du milieu naturel et agricole) nous a apporté son éclairage et nous a conviés à l’ouverture de la poche étanche. Entre supputations et réalité des bois extraits après cinq ans, suspense… [less ▲] Detailed reference viewed: 10 (2 ULg) Stockage de bois sous bâches hermétiquesRiguelle, Simon ![]() Conference given outside the academic context (2008) Detailed reference viewed: 9 (1 ULg) Stockage de carbone et flux de gaz à effet de serre en prairie (synthèse bibliographique)Jerome, Elisabeth ; Beckers, Yves ; Bodson, Bernard et alin Biotechnologie, Agronomie, Société et Environnement = Biotechnology, Agronomy, Society and Environment [=BASE] (2013), 17(1), 103-117 Grassland carbon (C) sequestration can play an important role in mitigating total greenhouse gas (GHG) emissions of livestock production systems. An accurate inventory of livestock production system ... [more ▼] Grassland carbon (C) sequestration can play an important role in mitigating total greenhouse gas (GHG) emissions of livestock production systems. An accurate inventory of livestock production system contribution to GHG emissions requires to think in terms of global budget, by considering both the GHG sources and the mitigation potential trough grassland soil carbon sequestration. There is a huge variability in C and GHG balances of grasslands that is mainly due to management practices and climatic conditions. The present article shows that, to reduce the uncertainties of the results, long term measurements at the field scale are necessary. Also, it shows the importance of taking the fluxes of the three main GHGs (carbon dioxide, nitrous oxide, methane) into account when calculating the GHG budget. This article also highlights the need for a better understanding of the mechanisms driving the fluxes, in relation to environmental factors and management practices, in order to propose mitigation strategies able to enhance soil carbon sequestration in soils and to reduce methane and nitrous oxide emissions. [less ▲] Detailed reference viewed: 24 (7 ULg) Stockage géologique du CO2: l'étanchéité des puitsDieudonné, Anne-Catherine ![]() Master's dissertation (2011) Carbon capture and storage is an innovator approach to fight climate changes through the reduction of greenhouse gas emissions. Abandoned coal mines are currently less studied than other reservoirs but ... [more ▼] Carbon capture and storage is an innovator approach to fight climate changes through the reduction of greenhouse gas emissions. Abandoned coal mines are currently less studied than other reservoirs but could also be used for the storage of carbon dioxide. However the problem of shaft sealing appears to be central as far as the safety, economic, ecologic and health stakes of geological storage are concerned. The purpose of the present work is the study of shaft sealing in the framework of CO2 storage projects. More precisely the problem consists in the numerical study, with the LAGAMINE finite elements code, of gas transfers around a shaft seal system. A coupled hydro-mechanical model of unsaturated geomaterials is presented. The response of the flow model is first studied through a simple synthetic problem simulating the injection of gas in a concrete-made column. It stands out of this first modeling that the advection of the gas phase represents the main transfer mechanism of CO2 in highly unsaturated materials. Furthermore the setting of a bentonite barrier seal allows limiting considerably gas influx to the biosphere. A 2D axisymetric hydromechanical modeling of the Anderlues natural gas storage site is then performed. The design of the shaft seal system appears to be a determinant element to evaluate the risks of CO2 leakage. [less ▲] Detailed reference viewed: 44 (14 ULg) |
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