Дисертації з теми "Equilibrium stability"
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Matros, Alexander. "Stochastic stability and equilibrium selection in games." Doctoral thesis, Stockholm : Economic Research Institute, Stockholm School of Economics (Ekonomiska forskningsinstitutet vid Handelshögsk.) (EFI), 2001. http://www.hhs.se/efi/summary/571.htm.
Liu, Ying, and 劉影. "Limit equilibrium methods for slope stability analysis." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B42576684.
Lennon, Bernard Andrew. "Equilibrium and stability of inflatable membrane structures." Thesis, University of Cambridge, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.620672.
Liu, Ying. "Limit equilibrium methods for slope stability analysis." Click to view the E-thesis via HKUTO, 2002. http://sunzi.lib.hku.hk/hkuto/record/B42576684.
Sofer, Miguel Marcelo. "On equilibrium, stability and nonlocality in elasticity theory /." [S.l.] : [s.n.], 1991. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=9420.
Huang, Yi-Min. "Magnetohydrodynamic equilibrium and stability of centrifugally confined plasmas." College Park, Md. : University of Maryland, 2004. http://hdl.handle.net/1903/1774.
Thesis research directed by: Physics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
Howell, David Frederick. "The stability of Z-pinches with equilibrium flows." Thesis, Imperial College London, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.313803.
Galletly, Diana Archer. "Modelling the equilibrium and stability of slit tubes." Thesis, University of Cambridge, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.620186.
Hakkarainen, S. Pekka (Simo Pekka). "Equilibrium and stability studies of strongly shaped Tokamaks." Thesis, Massachusetts Institute of Technology, 1988. http://hdl.handle.net/1721.1/14374.
Melville, J. P. "The equilibrium and stability of solar coronal magnetic fields." Thesis, Edinburgh Napier University, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383676.
Lin, Bor-Chyuan. "Performance and stability of non-equilibrium MHD disk generators." Thesis, Massachusetts Institute of Technology, 1990. http://hdl.handle.net/1721.1/42185.
Wilson, Fiona. "Equilibrium and stability properties of collisionless current sheet models." Thesis, University of St Andrews, 2013. http://hdl.handle.net/10023/3548.
Aryal, Krishna Prasad. "Slope Stability Evaluations by Limit Equilibrium and Finite Element Methods." Doctoral thesis, Norwegian University of Science and Technology, Department of Civil and Transport Engineering, 2006. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-1868.
This thesis deals with slope stability evolutions carried out by commonly used limit equilibrium (LE) and finite element (FE) methods. The study utilizes two LE based software (SLOPE/W and SLIDE) and one FE based software (PLAXIS). The principal difference between these two analyses approaches is that the LE methods are based on the static of equilibrium whereas FE methods utilise the stress‐strain relationship or constitutive law.
To fulfil one of the aims of the study, the LE based methods are compared based on the factor of safety (FOS) obtained for various load combinations. The comparison is mainly based on simplified slope geometry and assumed input parameters. Among the LE methods, the Bishop simplified (BS), Janbu simplified (JS) and Janbu GPS methods are compared with the Morgenstern‐Price method (M-PM). The two latter methods satisfy both force and moment equilibriums. In addition, M-PM allows a variable interslice force function. These LE methods are well established for many years, and thus some of them are still commonly used in practice for stability analysis. Simplicity and relatively good results are the advantages of these methods.
The comparative study among the LE methods shows that BSM is as good as M-PM for normal condition in circular shear surface (SS) analysis. Similarly, JSM is as good as M‐PM for plane SS analysis. Moreover, the study shows that BSM is insensitive to interslice forces in circular SS analysis, whereas JSM is insensitive to interslice forces in plane SS analysis.This is true for the analyses without any external forces acting in slopes. With some external forces, both methods may be sensitive to the interslice force function, and thus the analyses may result in either higher or lower FOS compared with M-PM. Even if the M-PM assumes an interslice force function in analysis, the method is found suitable, because the method satisfies both force and moment equilibrium conditions. The comparison between Janbu’s GPS method and the M‐PM shows a very good agreement with nominal difference (<2%) in the FOS.
Moreover, the M-PM has been compared with results from the FE analyses. Compared with the FE (PLAXIS) analyses, the LE (M-PM) analyses may estimate 5 – 14% higher FOS, depending on the conditions of a dry slope and a fully saturated slope with hydrostatic pore pressure distributions. For fully saturated conditions in the slope, inaccurate computation of stresses in LE methods may have resulted in larger difference in the computed FOS.
Since, the FE software is based on stress-strain relationship, stress redistributions are surely better computed even for a complicated problem. This has been found one of the advantages in FE simulations. A parameter study shows that the application of a positive dilatancy angle in FE analysis can significantly improve the FOS (4 - 10%). On contrast, the shear surface optimization in LE (M-PM in SLOPE/W) analysis results in lower FOS, and thus minimizing the difference in FOS compared with FE analysis. Thus, the optimisation of the circular SS in LE analyses and application of dilatancy angle in FE analyses may provide very good agreement in FOS keeping the variations less than 5%.
Instability of natural and built-in slopes has been a serious geotechnical challenge, particularly in mountainous countries like Nepal, where a large number of water-induced disasters are experienced every year. Since the country lies in a relatively active earthquake zone, earthquake events may adversely affect the long-term stability of slopes along the highways, around hydropower installations and elsewhere. The selected case study from the Middle Marsyangdi Hydroelectric Project (MMHEP) in Nepal was carried out, focusing on both the groundwater and earthquake effects on long-term stability of slopes. In addition, the analyses were performed for pore pressure distributions by seepage analyses and pseudo-static and dynamic earthquake events imposed in the case slopes.
Another important contribution of this study has been the investigations of the shear strength parameters for the case study slopes. The investigation ranges from the basic index tests, which were carried out to characterize material properties and establish a basis for building-in the test specimens, to the most advanced triaxial tests. Additionally, both consolidated drained and undrained triaxial tests were conducted, aiming to find any differences in the strength parameters. A total of twenty-four triaxial tests from four different soil samples, taken from the case study slopes, were conducted to define the Mohr-Coulomb failure envelope, and thus obtained the effective shear strength parameters (c’, φ’) for stability evaluations. In addition, the coefficients of permeability were investigated as an important input for seepage analyses.
Two slopes, one located at the dam site and the other at the powerhouse of the MMHEP, were evaluated for long-term stability conditions. The study, carried out using the monitored groundwater table, reveals that the groundwater is the potential destabilizing factor in the slopes. Both hydrostatic pore pressure distributions with phreatic surface correction and seepage analysis were carried out in the stability analysis. The pore pressure distributions from the seepage analyses indicated critically stable slopes particularly at the toe areas. However, a significant improvement in the FOS was found with lowered groundwater table. Moreover, the study, carried out for the pseudo-static analysis with the selected earthquake acceleration coefficient, shows that otherwise stable slopes become critical in earthquake events. However, the case slopes were found to have higher FOS than the recommended minimum value for such conditions. The dynamic earthquake simulations indicate both positive excess pore pressure and suction developed during the earthquakes. The applied earthquake acceleration of 0.15g (35% of PGA, where PGA = 4.2 m/s2)) shows critical conditions in the slopes. Moreover, larger accumulated displacements were found close to the slope surface compared to the inner side of the slopes. In addition, the dynamic analyses further indicate plastic points all over the slopes and increased shear strains in a particular location.
Nevertheless, the difference in FOS found from the LE and FE analyses may have a little interest, if there is a large uncertainty in the input parameters. Therefore, priority should be given to investigate the shear strength parameters and precise mapping of the slope geometry before selecting an appropriate analysis method. Most preferably, a slope should be analyzed by FE methods, else otherwise by LE based M‐PM or GPS method with investigated input parameters.
Zou, Jieping. "Nonlinear stability and statistical equilibrium of forced and dissipated flow." Thesis, University of British Columbia, 1991. http://hdl.handle.net/2429/32124.
Science, Faculty of
Earth, Ocean and Atmospheric Sciences, Department of
Graduate
Potgieter, Jean-Timothy. "Finite element versus limit equilibrium stability analyses for surface excavations." Diss., University of Pretoria, 2017. http://hdl.handle.net/2263/63001.
Dissertation (MEng)--University of Pretoria, 2017.
Civil Engineering
MEng
Unrestricted
Culverwell, Ian Dennis. "Resistive Z-pinch equilibria and stability." Thesis, Imperial College London, 1990. http://hdl.handle.net/10044/1/47833.
St-Amour, Amelie. "Equilibrium configurations of three-body tethered satellite systems and their stability." Thesis, McGill University, 2002. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=33995.
HOLANDA, AUREA SILVA DE. "ANALYSIS OF THE EQUILIBRIUM AND STABILITY OF PLATES WITH CONTACT CONSTRAINTS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2000. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=2002@1.
Neste trabalho é desenvolvida uma metodologia baseada no Método dos Elementos Finitos para estudar o equilíbrio e a estabilidade de placas apoiadas em fundações elásticas. A formulação utilizada para a análise de placas é válida para a análise linear e não-linear de placas isotrópicas ou ortotrópicas, perfeitas ou inicialmente imperfeitas. Esta formulação é baseada nas teorias de placas de Mindlin e von Kármán e na teoria de cascas abatidas proposta por Marguerre. As placas podem estar apoiadas em fundações lineares ou não-lineares, que são modeladas utilizando elementos finitos isoparamétricos. A fundação não-linear contém termos cúbicos e quadráticos, de modo a permitir uma representação mais realista do seu comportamento. Na obtenção dos caminhos não-lineares de equilíbrio das estruturas, diferentes métodos incrementais-iterativos são utilizados. Com o objetivo de considerar o problema de contato unilateral, duas formulações que utilizam técnicas de Programação Matemática são implementadas, sendo uma para a análise linear e outra para a análise não-linear. Além dessas formulações, o problema de contato unilateral pode ser tratado através do uso de um modelo constitutivo de fundação não resistente à tração também implementado neste trabalho. Exemplos de equilíbrio e de estabilidade são apresentados e, quando possível, os resultados são comparados com os existentes na literatura. Através destes exemplos, estuda-se a influência da não-linearidade da placa e da fundação, das imperfeições geométricas iniciais e do tipo de contato (unilateral ou bilateral) na capacidade de carga e estabilidade da placa. Também é discutida a influência do uso de diferentes malhas de elementos finitos nestes resultados, bem como a eficiência computacional das metodologias utilizadas para lidar com o contato unilateral.
In this work, a finite element formulation to study the equilibrium and the stability of plates on elastic foundations is developed. This formulation can be used for linear and nonlinear analyses of isotropic or orthotropic, perfect or initially imperfect plates. It is based on Mindlin`s and von Kármán`s plate theories and on the shallow shell theory proposed by Marguerre.The plates can be on linear or non-linear foundations modeled using isoparametric finite elements. The non-linear foundation contains cubic and quadratic terms to allow a more realistic representation of its behavior. In order to obtain the equilibrium path of the structure, different incremental-iterative methods are employed.Two different strategies are implemented to solve the unilateral contact problem. In the first one, two formulations that use optimization techniques are developed, one for the linear analysis and the other one for non-linear analysis. The second strategy modifies the constitutive relation of the foundation in order to simulate its tensionless behavior.Equilibrium and stability examples are presented and, whenever possible, the results are compared with the ones found in the literature. In these examples, the influence of the non-linearities of the plate and the foundation, of initial geometric imperfections, and of the type of contact (unilateral or bilateral) on the load capacity and stability of the plate is studied. The influence of different finite element meshes on the results and the computational efficiency of the methodologies used to solve the unilateral contact problem are also discussed.
En este trabajo se desarrolla una metodología basada en el Método de los Elementos Finitos para estudiar el equilibrio y la estabilidad de placas apoyadas en fundaciones elásticas. La formulación utilizada para el análisis de placas es válida para el análisis lineal y no lineal de placas isotrópicas o ortotrópicas, perhechas o inicialmente imperhechas. Esta formulación tiene como base las teorías de placas de Mindlin y von Kármán y en la teoría propuesta por Marguerre. Las placas pueden estar apoyadas en fundaciones lineales o no lineales, que son modeladas utilizando elementos finitos isoparamétricos. La fundación no lineal contiene términos cúbicos y cuadráticos, de modo que permita una representación más realista del su comportamiento. En la obtención de los caminos no lineales de equilibrio de las extructuras, se utilizaron diferentes métodos incrementales iterativos. Con el objetivo de considerar el problema de contacto unilateral, se implementan dos formulaciones que utilizan técnicas de Programación Matemática, una para el análisis lineal y otra para el análisis no lineal. Además de esas formulaciones, el problema de contacto unilateral puede ser tratado a través del uso de un modelo constitutivo de fundación no resistente a la tracción, que también es implementado en este trabajo. Se presentan ejemplos de equilíbrio y de estabilidad y, cuando posible, se comparan los resultados con los existentes en la literatura. A través de estos ejemplos, se estudia la influencia de la no linealidad de la placa y de la fundación, de las imperfecciones geométricas iniciales y del tipo de contacto (unilateral o bilateral) en la capacidad de carga y la estabilidad de la placa. También se discute la influencia del uso de diferentes mallas de elementos finitos em estos resultados, así como la eficiencia computacional de las metodologías utilizadas para tratar el contacto unilateral.
Caleo, Andrea. "Differential rotation, radiative equilibrium, and local hydrodynamic stability in stellar interiors." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:b7521f19-0dd0-4dc0-985d-0934d673c9cc.
Warren, Sean N. "Limit equilibrium stability analysis utilizing geotechnical data at Mount Baker, Washington /." abstract and full text PDF (UNR users only), 2008. http://0-gateway.proquest.com.innopac.library.unr.edu/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1461537.
"December 2008." Includes bibliographical references (leaves 109-112). Library also has microfilm. Ann Arbor, Mich. : ProQuest Information and Learning Company, [2009]. 1 microfilm reel ; 35 mm. Online version available on the World Wide Web. Library also has electronic version on CD-ROM
Chen, Xing 1956. "Hot electron plasma equilibrium and stability in the Constance B mirror experiment." Thesis, Massachusetts Institute of Technology, 1988. http://hdl.handle.net/1721.1/14580.
Maeda, Takashi. "Phase equilibrium and beta stability in Ti-rich Ti-V-Al alloys." Thesis, Imperial College London, 1988. http://hdl.handle.net/10044/1/47166.
Sedin, Victor. "Stability Analysis of Equilibrium Points and Symmetry Curves in Discrete Cosmological Models." Thesis, KTH, Fysik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-208202.
Ichiguchi, Katsuji. "Numerical Studies of Three-Dimensional Equilibrium and Stability for Stellarator/Heliotron Configurations." Kyoto University, 1989. http://hdl.handle.net/2433/74743.
Paul, Pascal. "Essays on financial stability and monetary policy." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:49999782-6173-4e2b-8645-cab0b1561595.
Мірошниченко, Ганна Олександрівна, Анна Александровна Мирошниченко та Hanna Oleksandrivna Miroshnychenko. "Основи взаємозв’язку понять "рівновага", "стійкість" і "стабільність" банківської системи". Thesis, Українська академія банківської справи Національного банку України, 2010. http://essuir.sumdu.edu.ua/handle/123456789/62235.
Given that the study of the concept of equilibrium of the economic system is central to the structure of economic knowledge and is an important condition for the development of the national economy, there is a problem of understanding this concept. Thus, it is advisable to explore the basics of the relationship between such basic economic concepts as equilibrium, stability and stability of the banking system.
Should investigate the basis of the relationship between basic economic concepts such as balance, stability and stability of the banking system.
Martínez, Sepulveda Juan Francisco. "Essays in financial stability under financial frictions." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:4e2a5663-c0a5-43dc-8fe7-f6fa05048e76.
Firat, Seyhan. "Critical assessment of existing slope stability formulae and application to slope stabilisation." Thesis, University of South Wales, 1998. https://pure.southwales.ac.uk/en/studentthesis/critical-assessment-of-existing-slope-stability-formulae-and-application-to-slope-stabilisation(339ddd93-e0c1-466d-8278-143beca4fb20).html.
Celli, Michele <1980>. "Stability, viscous dissipation and local thermal non-equilibrium in fluid saturated porous media." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2010. http://amsdottorato.unibo.it/2485/1/Celli_Michele_PhD_Thesis.pdf.
Celli, Michele <1980>. "Stability, viscous dissipation and local thermal non-equilibrium in fluid saturated porous media." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2010. http://amsdottorato.unibo.it/2485/.
Medina, Ruiz Hamlet. "TCP and network coding : equilibrium and dynamic properties." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112165.
Communication networks today share the same fundamental principle of operation: information is delivered to their destination by nodes intermediate in a store-and-forward manner.Network coding (NC) is a technique that allows intermediate nodes to send out packets that are linear combinations of previously received information. The main benefits of NC are the potential throughput improvements and a high degree of robustness, which is translated into loss resilience. These benefits have motivated deployment efforts for practical applications of NC, e.g., incorporating NC into congestion control schemes such as TCP-Reno to get a TCP-NC congestion protocol. In TCP-NC, TCP-Reno throughput is improved by sending a fixed amount of redundant packets, which mask part of the losses due, e.g., to channel transmission errors. In this thesis, we first analyze the dynamics of TCP-NC with random early detection (RED) as active queue management (AQM) using tools from convex optimization and feedback control. We study the network equilibrium point and the stability properties of TCP-Reno when NC is incorporated into the TCP/IP protocol stack. The existence and uniqueness of an equilibrium point is proved, and characterized in terms of average throughput, loss rate, and queue length. Our study also shows that TCP-NC/RED becomes unstable when delay or link capacities increases, but also, when the amount of redundant packets added by NC increases. Using a continuous-time model and neglecting feedback delays, we prove that TCP-NC is globally stable. We provide a sufficient condition for local stability when feedback delays are present. The fairness of TCP-NC with respect to TCP-Reno-like protocols is also studied. Second, we propose an algorithm to dynamically adjust the amount of redundant linear combinations of packets transmitted by NC. In TCP-NC with adaptive redundancy (TCP-NCAR), the redundancy is adjusted using a loss differentiation scheme, which estimates the amount of losses due to channel transmission errors and due to congestion. Simulation results show that TCP-NCAR outperforms TCP-NC in terms of throughput. Finally, we analyze the equilibrium and stability properties of TCP-NCAR/RED. The existence and uniqueness of an equilibrium point is characterized experimentally. The TCP-NCAR/RED dynamics are modeled using a continuous-time model. Theoretical and simulation results show that TCP-NCAR tracks the optimal value for the redundancy for small values of the packet loss rate. Moreover, simulations of the linearized model around equilibrium show that TCP-NCAR increases the size of the TCP-Reno stability region. We show that this is due to the compensator effect of the redundancy adaptation dynamics to TCP-Reno. These characteristics of TCP-NCAR allow the congestion window adaptation mechanism of TCP-Reno to react in a smooth way to channel losses, avoiding some unnecessary rate reductions, and increasing the local stability of TCP-Reno
Albataineh, Nermeen. "SLOPE STABILITY ANALYSIS USING 2D AND 3D METHODS." University of Akron / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=akron1153719372.
Badasyan, Narine. "Game Theoretic Models of Connectivity Among Internet Access Providers." Diss., Virginia Tech, 2004. http://hdl.handle.net/10919/11193.
Ph. D.
Scapello, Justin Thomas. "Solvent extraction of a polar solute using colloidal liquid aphrons : stability, equilibrium and mass transfer." Thesis, Imperial College London, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.265955.
Karim, Ishtak. "Equilibrium and stability studies of plasmas confined in a dipole magnetic field using magnetic measurements." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/41294.
Includes bibliographical references (p. 185-188).
The Levitated Dipole Experiment (LDX) is the first experiment of its kind to use a levitated current ring to confine a plasma in a dipole magnetic field. Unlike most other confinement devices, plasma compressibility stabilizes and allows the plasma to attain a peak beta on the order of unity. Various magnetic sensors have been designed, calibrated, installed, and operated to reconstruct the plasma pressure profile through least-squares fitting to model profiles. Although both isotropic and anisotropic models are used, the latter is critical in deducing the correct beta values for the electron cyclotron resonance heated (ECRH), anisotropic LDX plasmas. The simpler isotropic models give accurate spatially integrated quantities of the pressure profile. The reconstruction of LDX plasmas requires overcoming unique obstacles. Because the floating coil is superconducting, care must be taken when interpreting magnetic signals, which measure the sum of the plasma current and the decrease in the floating coil current. The coupling of these two quantities, in addition to the large physical distances between the sensors and the plasma, makes the magnetic measurements sensitive mostly to the plasma dipole moment. A family of current and pressure profiles with the same dipole moment can therefore fit the measurements equally well. The ambiguity in determining the pressure profile is resolved by supplementing the magnetics with X-ray emissivity data. Internal flux loops close to the plasma will be added in the future to resolve higher order moments.
(cont.) A peak beta of more than 26 % has been measured by the magnetic sensors to date. The high beta plasmas are shown to have supercritical pressure profiles that exceed the MHD limit. The finding confirms that the ECRH produced hot electrons that carry most of the pressure are minimally sensitive to the limit. The MHD gradient limit is slightly increased by incorporating pressure anisotropy, but magnetic data routinely gives a best fit profile that substantially exceeds even the anisotropic limit. It has yet to be seen whether the kinetic analog of the MHD interchange mode, or the hot electron interchange mode (HEI), plays a significant role in limiting the hot electron density gradient. The HEI's have been magnetically measured and shown to correlate with drops in flux measurements. Lastly, it is revealed that LDX plasmas display a linear scaling of stored energy with plasma current (known as the D-P-S relation), much like magnetospheric plasmas. This scaling is used to estimate the energy confinement time of LDX plasmas with different heating frequency compositions.
by Ishtak Karim.
Sc.D.
Loehr, John Erik. "Development of a hybrid limit equilibrium-finite element procedure for three-dimensional slope stability analysis /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.
Arhinful, Daniel Andoh. "Lorenzův systém: cesta od stability k chaosu." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-417087.
McClung, Nigel. "Essays in Regime Switching Policy and Adaptive Learning in Dynamic Stochastic General Equilibrium." Thesis, University of Oregon, 2018. http://hdl.handle.net/1794/23707.
Patel, Keyurkumar S. "Automatic generation of global phase equilibrium diagram from equation of state." [Tampa, Fla] : University of South Florida, 2007. http://purl.fcla.edu/usf/dc/et/SFE0002327.
Fournier, Mathew. "Investigations into the Shear Strength Reduction method using distinct element models." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/2492.
Nsabimana, Adelit. "Stability of the money demand function and monetary inflation in the East African community." Thesis, Nelson Mandela Metropolitan University, 2015. http://hdl.handle.net/10948/9163.
Vyambwera, Sibaliwe Maku. "Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education." Thesis, University of Western Cape, 2014. http://hdl.handle.net/11394/3360.
HIV/AIDS is nowadays considered as the greatest public health disaster of modern time. Its progression has challenged the global population for decades. Through mathematical modelling, researchers have studied different interventions on the HIV pandemic, such as treatment, education, condom use, etc. Our research focuses on different compartmental models with emphasis on the effect of public health education. From the point of view of statistics, it is well known how the public health educational programs contribute towards the reduction of the spread of HIV/AIDS epidemic. Many models have been studied towards understanding the dynamics of the HIV/AIDS epidemic. The impact of ARV treatment have been observed and analysed by many researchers. Our research studies and investigates a compartmental model of HIV with treatment and education campaign. We study the existence of equilibrium points and their stability. Original contributions of this dissertation are the modifications on the model of Cai et al. [1], which enables us to use optimal control theory to identify optimal roll-out of strategies to control the HIV/AIDS. Furthermore, we introduce randomness into the model and we study the almost sure exponential stability of the disease free equilibrium. The randomness is regarded as environmental perturbations in the system. Another contribution is the global stability analysis on the model of Nyabadza et al. in [3]. The stability thresholds are compared for the HIV/AIDS in the absence of any intervention to assess the possible community benefit of public health educational campaigns. We illustrate the results by way simulation The following papers form the basis of much of the content of this dissertation, [1 ] L. Cai, Xuezhi Li, Mini Ghosh, Boazhu Guo. Stability analysis of an HIV/AIDS epidemic model with treatment, 229 (2009) 313-323. [2 ] C.P. Bhunu, S. Mushayabasa, H. Kojouharov, J.M. Tchuenche. Mathematical Analysis of an HIV/AIDS Model: Impact of Educational Programs and Abstinence in Sub-Saharan Africa. J Math Model Algor 10 (2011),31-55. [3 ] F. Nyabadza, C. Chiyaka, Z. Mukandavire, S.D. Hove-Musekwa. Analysis of an HIV/AIDS model with public-health information campaigns and individual with-drawal. Journal of Biological Systems, 18, 2 (2010) 357-375. Through this dissertation the author has contributed to two manuscripts [4] and [5], which are currently under review towards publication in journals, [4 ] G. Abiodun, S. Maku Vyambwera, N. Marcus, K. Okosun, P. Witbooi. Control and sensitivity of an HIV model with public health education (under submission). [5 ] P.Witbooi, M. Nsuami, S. Maku Vyambwera. Stability of a stochastic model of HIV population dynamics (under submission).
Hagerfors, Jonas. "Jämförelse av beräkningsprogrammen Novapoint Geosuite Stability och Geoslope SLOPE/W med avseende på släntstabilitet." Thesis, Uppsala universitet, Institutionen för geovetenskaper, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-384294.
Föreliggande examensarbete behandlar skillnaden mellan två beräkningsprogram när det kommer till släntstabilitet, nämligen Geoslope SLOPE/W och Novapoint GeoSuite Stability. Syftet med examensarbetet är att jämföra de båda beräkningsprogrammen avseende vid undersökning av släntstabilitet, samt de två programmens hantering av data. De två beräkningsprogrammen använder sig av liknande Limit equilibrium-metoder för att beräkna säkerhetsfaktor samt glidytor för slänter. Man kan förvänta sig att resultatet bör vara varandra likt då dels att de både beräkningsprogrammen använder sig av liknande Limit equilibrium-metoder, men också då stora skillnader i både säkerhetsfaktor och kritisk glidyta ger opålitligt resultat. Examensarbetet kommer även ta upp de faktorer som kan ligga bakom att ett eventuellt brott ska ske i en slänt, då det ger ökad förståelse för de analyser som gjorts. Arbetet utfördes genom att slänter med identiska geometriska relationer samt identiska materialegenskaper modellerades i de båda beräkningsprogrammen, en säkerhetsfaktor samt kritisk glidyta för slänterna togs fram för båda programmen och jämfördes sedan med varandra.
Gerhardsson, Andreas. "Stability of monoatomic nanowires : a first-principles study." Thesis, Linköpings universitet, Teoretisk Fysik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-68764.
Franca, Paulo Ricardo Behrens da. "Analysis of slope stability using limit equilibrium and numerical methods with case examples from the Águas Claras Mine, Brazil." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq20637.pdf.
Nookhwun, Nuwat. "An analysis of the relationship between monetary policy, business cycles and financial stability." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:d56b4883-1eee-4d26-9b12-554414791969.
Ferrara, Marco Ph D. Massachusetts Institute of Technology. "Axisymmetric equilibrium and stability analysis in Alcator C-Mod, including effects of current profile, measurement noise and power supply saturation." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/53265.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 147-150).
The vertical position of elongated tokamak plasmas is unstable on the time scale of the eddy currents in the axisymmetric conducting structures. In the absence of feedback control, the plasma would drift vertically and quench on the wall, a situation known as Vertical Displacement Event (VDE), with serious consequences for machine integrity. As tokamaks approach reactor regimes, VDE's cannot be tolerated: vertical feedback control must be robust against system uncertainty and the occurrence of noise and disturbances. At the same time, adaptive routines should be in place to handle unexpected events. The problem of robust control of the vertical position can be formulated in terms of identifying which variables affect vertical stability and which ones are not directly controlled/controllable; identifying the physical region of these variables, and the corresponding most unstable equilibria; and designing the control system to stabilize all equilibria with sufficient margin. The margin should be enough to allow the system to tolerate realistic scenarios of noise and disturbances. A set of metrics is introduced to characterize the problem of vertical stability: the stability margin describes the plasma-wall interaction and the open-loop growth rate; the maximum controllable displacement looks at the vertical stabilization power supplies and their ability to handle noise and off-normal events; the gain and phase margins quantify the linear stability of the feedback control loop.
(cont.) The dependence of these metrics on relevant plasma parameters is proven with analytic calculations and numerical simulations: in particular, it is shown that the stability margin is a decreasing function of the plasma internal inductance, for a given plasma elongation. An upper bound of the value of the internal inductance is derived and validated with database analysis, which describes the most unstable equilibrium for given values of the external elongation and the edge safety factor. The stability metrics are evaluated for typical and ITER-like C-Mod plasmas to give an example of the C-Mod operational space and of feasible control conditions. The vertical stabilization system should be able to tolerate realistic scenarios of noise and disturbances. The main sources of noise and pick-ups in Alcator C-Mod are identified and their effects on the measurement and control of the vertical position are evaluated. Broadband noise may affect controllability of C-Mod plasmas at limit elongations and may become an issue with high-order controllers, therefore two applications of Kalman filters are investigated. A Kalman filter is compared to a state observer based on the pseudo-inverse of the measurement matrix and proves to be a better candidate for state reconstruction for vertical stabilization, provided adequate models of the system, the inputs, the intrinsic and measurement noise and an adequate set of diagnostic measurements are available. A single-input single-output application of the filter for the vertical observer rejects high frequency noise without destabilizing high-elongation plasmas, however does not match the performance of an optimized low-pass filter.
(cont.) Aggressive control targets and large off-normal events can cause a control current to rail. The magnetic topology is consequently perturbed and the plasma might become uncontrollable. An adaptive anti-saturation control routine is demonstrated which avoids an impending saturation by interpolating in real-time to a safe equilibrium. This approach becomes necessary when poor redundancy of control coils may require mid-shot pulse rescheduling, as opposed to an adaptation in control.
by Marco Ferrara.
Ph.D.
JADANZA, RICCARDO DANILO. "Morse index and linear stability of relative equilibria in singular mechanical systems." Doctoral thesis, Politecnico di Torino, 2015. http://hdl.handle.net/11583/2599754.
Chakrabarti, Subhadip. "Network Formation and Economic Applications." Diss., Virginia Tech, 2004. http://hdl.handle.net/10919/11256.
Ph. D.
Vereen, Kalimah. "An SCIR Model of Meningococcal Meningitis." VCU Scholars Compass, 2008. http://scholarscompass.vcu.edu/etd/710.