Academic literature on the topic 'Global analysis (mathematics) engineering mechanic'
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Journal articles on the topic "Global analysis (mathematics) engineering mechanic"
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Healey, Timothy J., and Henry C. Simpson. "Global Continuation in Nonlinear Elasticity." Archive for Rational Mechanics and Analysis 143, no. 1 (1998): 1–28. http://dx.doi.org/10.1007/s002050050098.
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Bouchitté, Guy, Irene Fonseca, and Luisa Mascarenhas. "A Global Method for Relaxation." Archive for Rational Mechanics and Analysis 145, no. 1 (1998): 51–98. http://dx.doi.org/10.1007/s002050050124.
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Kapania, R. K., S. G. Haryadi, and R. T. Haftka. "Global/local analysis of composite plates with cutouts." Computational Mechanics 19, no. 5 (1997): 386–96. http://dx.doi.org/10.1007/s004660050187.
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Auchmuty, Giles. "The global branching of rotating stars." Archive for Rational Mechanics and Analysis 114, no. 2 (1991): 179–93. http://dx.doi.org/10.1007/bf00375402.
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Alexander, J. C., and Giles Auchmuty. "Global bifurcations of phase-locked oscillators." Archive for Rational Mechanics and Analysis 93, no. 3 (1986): 253–70. http://dx.doi.org/10.1007/bf00281500.
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Hu, Xianpeng, and Nader Masmoudi. "Global Solutions to Repulsive Hookean Elastodynamics." Archive for Rational Mechanics and Analysis 223, no. 1 (2016): 543–90. http://dx.doi.org/10.1007/s00205-016-1039-2.
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Montanaro, Adriano. "Global Equivalence for Deformable Theormoeleastic Bodies." Archive for Rational Mechanics and Analysis 143, no. 4 (1998): 375–400. http://dx.doi.org/10.1007/s002050050110.
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Xiao, Hai-bin. "Global analysis of Ivlev’s type predator-prey dynamic systems." Applied Mathematics and Mechanics 28, no. 4 (2007): 461–70. http://dx.doi.org/10.1007/s10483-007-0406-1.
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Alonso, Diego M., Eduardo E. Paolini, and Jorge L. Moiola. "Global Bifurcation Analysis of a Controlled Underactuated Mechanical System." Nonlinear Dynamics 40, no. 3 (2005): 205–25. http://dx.doi.org/10.1007/s11071-005-6188-z.
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Fiedler, Bernold. "Global Hopf bifurcation of two-parameter flows." Archive for Rational Mechanics and Analysis 94, no. 1 (1986): 59–81. http://dx.doi.org/10.1007/bf00278243.
Full textDissertations / Theses on the topic "Global analysis (mathematics) engineering mechanic"
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Juha, Mario Jesus. "Minimal and Symmetric Global Partition Polynomials for Reproducing Kernel Elements." Scholar Commons, 2011. http://scholarcommons.usf.edu/etd/3176.
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The Reproducing Kernel Element Method is a numerical technique that combines finite element and meshless methods to construct shape functions of arbitrary order and continuity, yet retains the Kronecker-d property. Central to constructing these shape functions is the construction of global partition polynomials on an element. This dissertation shows that asymmetric interpolations may arise due to such things as changes in the local to global
node numbering and that may adversely affect the interpolation capability of the method. This issue arises due to the use in previous formulations of incomplete polynomials that are subsequently non-affine invariant. This dissertation lays out the new framework for generating general, symmetric, truly minimal and complete affine invariant global partition polynomials for triangular and tetrahedral elements. It is shown that this new class of
reproducing kernel element solves the asymmetry issue that affected previous developed elements. The interpolation capabilities of this new class of reproducing kernel elements is studied in problems of surface representations and in solving problems of bending of thin plates using a Galerkin approach. Optimal convergence rates were observed in the solution
of Kirchhoff plate problems with rectangular domains. Furthermore, it is shown that the new proposed two-dimensional elements out perform the previous elements with the addition of only a few internal degrees of freedom.
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Casero, Cañas Ramón. "Left ventricle functional analysis in 2D+t contrast echocardiography within an atlas-based deformable template model framework." Thesis, University of Oxford, 2008. http://ora.ox.ac.uk/objects/uuid:b17b3670-551d-4549-8f10-d977295c1857.
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This biomedical engineering thesis explores the opportunities and challenges of 2D+t contrast echocardiography for left ventricle functional analysis, both clinically and within a computer vision atlas-based deformable template model framework. A database was created for the experiments in this thesis, with 21 studies of contrast Dobutamine Stress Echo, in all 4 principal planes. The database includes clinical variables, human expert hand-traced myocardial contours and visual scoring. First the problem is studied from a clinical perspective. Quantification of endocardial global and local function using standard measures shows expected values and agreement with human expert visual scoring, but the results are less reliable for myocardial thickening. Next, the problem of segmenting the endocardium with a computer is posed in a standard landmark and atlas-based deformable template model framework. The underlying assumption is that these models can emulate human experts in terms of integrating previous knowledge about the anatomy and physiology with three sources of information from the image: texture, geometry and kinetics. Probabilistic atlases of contrast echocardiography are computed, while noting from histograms at selected anatomical locations that modelling texture with just mean intensity values may be too naive. Intensity analysis together with the clinical results above suggest that lack of external boundary definition may preclude this imaging technique for appropriate measuring of myocardial thickening, while endocardial boundary definition is appropriate for evaluation of wall motion. Geometry is presented in a Principal Component Analysis (PCA) context, highlighting issues about Gaussianity, the correlation and covariance matrices with respect to physiology, and analysing different measures of dimensionality. A popular extension of deformable models ---Active Appearance Models (AAMs)--- is then studied in depth. Contrary to common wisdom, it is contended that using a PCA texture space instead of a fixed atlas is detrimental to segmentation, and that PCA models are not convenient for texture modelling. To integrate kinetics, a novel spatio-temporal model of cardiac contours is proposed. The new explicit model does not require frame interpolation, and it is compared to previous implicit models in terms of approximation error when the shape vector changes from frame to frame or remains constant throughout the cardiac cycle. Finally, the 2D+t atlas-based deformable model segmentation problem is formulated and solved with a gradient descent approach. Experiments using the similarity transformation suggest that segmentation of the whole cardiac volume outperforms segmentation of individual frames. A relatively new approach ---the inverse compositional algorithm--- is shown to decrease running times of the classic Lucas-Kanade algorithm by a factor of 20 to 25, to values that are within real-time processing reach.
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Ben, Gharbia Ibtihel. "Résolution de problèmes de complémentarité. : Application à un écoulement diphasique dans un milieu poreux." Phd thesis, Université Paris Dauphine - Paris IX, 2012. http://tel.archives-ouvertes.fr/tel-00776617.
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Les problèmes de complémentarité interviennent dans de nombreux domaines scientifiques : économie, mécanique des solides, mécanique des fluides. Ce n'est que récemment qu'ils ont commencé d'intéresser les chercheurs étudiant les écoulements et le transport en milieu poreux. Les problèmes de complémentarité sont un cas particulier des inéquations variationnelles. Dans cette thèse, on offre plusieurs contributions aux méthodes numériques pour résoudre les problèmes de complémentarité. Dans la première partie de cette thèse, on étudie les problèmes de complémentarité linéaires 0 6 x ⊥ (Mx+q) > 0 où, x l'inconnue est dans Rn et où les données sont q, un vecteur de Rn, et M, une matrice d'ordre n. L'existence et l'unicité de ce problème est obtenue quand la matrice M est une P-matrice. Une méthode très efficace pour résoudre les problèmes de complémentarité est la méthode de Newton-min, une extension de la méthode de Newton aux problèmes non lisses.Dans cette thèse on montre d'abord, en construisant deux familles de contre-exemples, que la méthode de Newton-min ne converge pas pour la classe des P-matrices, sauf si n= 1 ou 2. Ensuite on caractérise algorithmiquement la classe des P-matrices : c'est la classe des matrices qui sont telles que quel que, soit le vecteur q, l'algorithme de Newton-min ne fait pas de cycle de deux points. Enfin ces résultats de non-convergence nous ont conduit à construire une méthode de globalisation de l'algorithme de Newton-min dont nous avons démontré la convergence globale pour les P-matrices. Des résultats numériques montrent l'efficacité de cet algorithme et sa convergence polynomiale pour les cas considérés. Dans la deuxième partie de cette thèse, nous nous sommes intéressés à un exemple de problème de complémentarité non linéaire concernant les écoulements en milieu poreux. Il s'agit d'un écoulement liquide-gaz à deux composants eau-hydrogène que l'on rencontre dans le cadre de l'étude du stockage des déchets radioactifs en milieu géologique. Nous présentons un modèle mathématique utilisant des conditions de complémentarité non linéaires décrivant ces écoulements. D'une part, nous proposons une méthode de résolution et un solveur pour ce problème. D'autre part, nous présentons les résultats numériques que nous avons obtenus suite à la simulation des cas-tests proposés par l'ANDRA (Agence Nationale pour la gestion des Déchets Radioactifs) et le GNR MoMaS. En particulier, ces résultats montrent l'efficacité de l'algorithme proposé et sa convergence quadratique pour ces cas-tests
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Hameed, Maysoun Ayad. "Evaluating Global Sensitivity Analysis Methods for Hydrologic Modeling over the Columbia River Basin." PDXScholar, 2015. https://pdxscholar.library.pdx.edu/open_access_etds/2398.
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Global Sensitivity Analysis (GSA) approach helps to identify the effectiveness of model parameters or inputs and thus provides essential information about the model performance. The effects of 14 parameters and one input (forcing data) of the Sacramento Soil Moisture Accounting (SAC-SMA) model are analyzed by using two GSA methods: Sobol' and Fourier Amplitude Sensitivity Test (FAST). The simulations are carried out over five sub-basins within the Columbia River Basin (CRB) for three different periods: one-year, four-year, and seven-year. The main parameter sensitivities (first-order) and the interactions sensitivities (second-order) are evaluated in this study. Our results show that some hydrological processes are highly affected by the simulation length. In other words, some parameters reveal importance during the short period simulation (e.g. one-year) while other parameters are effective in the long period simulations (e.g. four-year and seven-year). Moreover, the reliability of the sensitivity analysis results is compared based on 1) the agreement between the two sensitivity analysis methods (Sobol' and FAST) in terms of highlighting the same parameters or input as the most influential parameters or input and 2) how the methods are cohered in ranking these sensitive parameters under the same conditions (sub-basins and simulation length). The results show that the coherence between the Sobol' and FAST sensitivity analysis methods. Additionally, it is found that FAST method is sufficient to evaluate the main effects of the model parameters and inputs. This study confirms that the Sobol' and FAST methods are reliable GSA methods that can be applied in different scientific applications. Finally, as a future work, we suggest to study the uncertainty associated with the sensitivity analysis approach regarding the reliability of evaluating different sensitivity analysis methods.
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Bompard, Manuel. "MODÈLES DE SUBSTITUTION POUR L'OPTIMISATION GLOBALE DE FORME EN AÉRODYNAMIQUE ET MÉTHODE LOCALE SANS PARAMÉTRISATION." Phd thesis, Université Nice Sophia Antipolis, 2011. http://tel.archives-ouvertes.fr/tel-00771799.
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L'optimisation aérodynamique de forme est un domaine de recherche très actif ces dernières années, en raison notamment de l'importance de ses applications industrielles. Avec le développement de la méthode adjointe, il est aujourd'hui possible de calculer rapidement, et indépendamment du nombre de paramètres de forme, le gradient des fonctions d'intérêt par rapport à ces paramètres. Cette étude concerne l'utilisation des dérivées ainsi obtenues pour perfectionner les algorithmes d'optimisation locale et globale. Dans une première partie, il s'agit d'utiliser ces gradients pour la construction de modèles de substitution, et de profiter de ces modèles pour réduire le coût des méthodes d'optimisation globale. Plusieurs types de modèles sont présentés et combinés à un algorithme de type " évolution différentielle " en utilisant la méthode EGO (Efficient Global Optimization). Cette procédure est appliquée à l'optimisation de fonctions mathématiques, puis à des cas test d'optimisation aérodynamique autour de profils d'aile. Les résultats sont concluants : l'utilisation d'un modèle de substitution permet de réduire sensiblement le nombre d'évaluations nécessaire du modèle physique, et la prise en compte des gradients accentue ce résultat. Dans la seconde partie de ce travail, la méthode adjointe est utilisée pour calculer le gradient des fonctions d'intérêt par rapport aux coordonnées des noeuds de la surface du profil. Un algorithme d'optimisation locale est alors appliqué en utilisant ces points comme paramètres de l'optimisation et le champ de gradient lissé comme direction de descente. Si l'étude est encore à approfondir, les résultats sont encourageants.
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Vyazmina, Elena. "Bifurcations d'un écoulement tournant." Phd thesis, Ecole Polytechnique X, 2010. http://tel.archives-ouvertes.fr/tel-00538944.
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Cette thèse presente une étude numérique et analytique de la stabilité d'un écoulement incompressible de type jet tournant. L'entraînement du fluide externe par le jet est modélisé numériquement par l'hypothèse de frontières latérales et de sortie ouvertes, les conditions d'entrée correspondant à un profile de Grabowski. L'effet d'une faible viscosité dans le voisinage du nombre de swirl critique est étudié via une analyse asymptotique couplée à des simulations numériques axisymétriques. Un algorithme de continuation basé sur une méthode de projection récursive (RPM) a été implémenté pour capturer les états stationnaires et suivre ces branches de solutions dans l'espace de paramètres ainsi que leur stabilité. La continuation des solutions stationnaires vis-à-vis du paramètre de swirl montre l'existence d'une bifurcation pour les nombres de Reynolds assez grands. L'analyse asymptotique confirme ces résultats numériques. Le diagramme de bifurcation d'un jet tournant possédant une région de recirculation est déterminé dans le cas axisymétrique. Il est montré que l'état stationnaire subit une bifurcation de Hopf supercritique. Enfin, la stabilité globale tridimensionnelle d'un jet tournant avec une région de recirculation est étudiée numériquement par une méthode d'Arnoldi. L'état éclaté axisymétrique apparaît instable vis-à-vis de perturbations tridimensionnelles hélicoïdales. L'effet d'un gradient d'une pression extérieur sur le diagramme de bifurcation est étudié numériquement. Pour un nombre de Reynolds Re=1000, la branche colonnaire (solutions sans recirculation) existe dans le cas d'un gradient de pression favorable pour les grnads paramètres de swirl, mais disparaît quand le gradient de pression est zero. Ce résultat ouvre des perspectives pour une stratégie de contrôle pour retarder l'apparition de l'éclatement tourbillonnaire.
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Bolton, Hermanus Petrus Johannes. "Parallel competing algorithms in global optimization." Diss., 2001. http://hdl.handle.net/2263/22980.
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Specialized techniques are needed to solve global optimization problems, due to the existence of multiple local optima or numerical noise in the objective function. The complexity of the problem is aggravated when discontinuities and constraints are present, or when evaluation of the objective function is computationally expensive. The global (minimization) programming problem is defined as finding the variable set for which the objective function obtains not only a local minimum, but also the smallest value, the global minimum. From a mathematical point of view, the global programming problem is essentially unsolvable, due to a lack of mathematical conditions characterizing the global optimum. In this study, the unconstrained global programming problem is addressed using a number of novel heuristic approaches. Firstly, a probabilistic global stopping criterion is presented for multi-start algorithms. This rule, denoted the unified Bayesian stopping criterion, is based on the single mild assumption that the probability of convergence to the global minimum is comparable to the probability of convergence to any other local minimum. This rule was previously presented for use in combination with a specific global optimization algorithm, and is now shown to be effective when used in a general multi-start approach. The suitability of the unified Bayesian stopping criterion is demonstrated for a number of algorithms using standard test functions. Secondly, multi-start global optimization algorithms based on multiple local searches, com¬bined with the unified Bayesian stopping criterion, are presented. Numerical results reveal that these simple multi-start algorithms outperform a number of leading contenders. Thirdly, parallelization of the sequential multi-start algorithms is shown to effectively re¬duce the apparent computational time associated with solving expensive global programming problems. Fourthly, two algorithms simulating natural phenomena are implemented, namely the rel¬atively new particle swarm optimization method and the well known genetic algorithm. For the current implementations, numerical results indicate that the computational effort associated with these methods is comparable. Fifthly, the observation that no single global optimization algorithm can consistently out¬perform any other algorithm when a large set of problems is considered, leads to the de¬velopment of a parallel competing algorithm infrastructure. In this infrastructure different algorithms, ranging from deterministic to stochastic, compete simultaneously for a contri¬bution to the unified Bayesian global stopping criterion. This is an important step towards facilitating an infrastructure that is suitable for a range of problems in different classes. In the sixth place, the constrained global programming problems is addressed using con¬strained algorithms in the parallel competing algorithm infrastructure. The developed methods are extensively tested using standard test functions, for both serial and parallel implementations. An optimization procedure is also presented to solve the slope stability problem faced in civil engineering. This new procedure determines the factor of safety of slopes using a global optimization approach.<br>Dissertation (MEng (Mechanical Engineering))--University of Pretoria, 2006.<br>Mechanical and Aeronautical Engineering<br>unrestricted
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Onunka, Chiemela. "Autonomous sea craft for search and rescue operations : marine vehicle modelling and analysis." Thesis, 2011. http://hdl.handle.net/10413/5122.
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Marine search and rescue activities have been plagued with the problem of risking the lives of rescuers in
rescue operations. With increasing developments in sensor technologies, it became a necessity in the
marine search and rescue community to develop an autonomous marine craft to assist in rescue
operations. Autonomy of marine craft requires a robust localization technique and process. To apply
robust localization to marine craft, GPS technology was used to determine the position of the marine craft
at any given point in time. Given that the operational environment of the marine was at open air, river, sea
etc. GPS signal was always available to the marine craft as there are no obstructions to GPS signal.
Adequate cognizance of the current position and states of an unmanned marine craft was a critical
requirement for navigation of an unmanned surface vehicle (USV). The unmanned surface vehicle uses
GPS in conjunction with state estimated solution provided by inertial sensors. In the absence of the GPS
signal, navigation is resumed with a digital compass and inertial sensors to such a time when the GPS
signal becomes accessible.
GPS based navigation can be used for an unmanned marine craft with the mathematical modelling of the
craft meeting the functional requirements of an unmanned marine craft. A low cost GPS unit was used in
conjunction with a low cost inertial measurement unit (IMU) with sonar for obstacle detection. The use of
sonar in navigation algorithm of marine craft was aimed at surveillance of the operational environment of
the marine craft to detect obstacles on its path of motion. Inertial sensors were used to determine the
attitude of the marine craft in motion.<br>Thesis (M.Sc.Eng.)-University of KwaZulu-Natal, Durban, 2011.
Books on the topic "Global analysis (mathematics) engineering mechanic"
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Smith, Donald R. An Introduction to Continuum Mechanics - after Truesdell and Noll. Springer Netherlands, 1993.
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Hu, Haiyan. Dynamics of Controlled Mechanical Systems with Delayed Feedback. Springer Berlin Heidelberg, 2002.
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Allaire, Grégoire. Shape Optimization by the Homogenization Method. Springer New York, 2002.
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Kang, Feng. Mathematical Theory of Elastic Structures. Springer Berlin Heidelberg, 1996.
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International Symposium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics (2000 Yamaguchi-ken, Japan). Mathematical modeling and numerical simulation in continuum mechanics: Proceedings of the International Symposium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics, September 29-October 3, 2000, Yamaguchi, Japan. Edited by Babuška Ivo, Ciarlet Philippe G, and Miyoshi Tetsuhiko. Springer, 2002.
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Ehlers, Wolfgang. Porous Media: Theory, Experiments and Numerical Applications. Springer Berlin Heidelberg, 2002.
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Altenbach, Holm. Generalized Continua from the Theory to Engineering Applications. Springer Vienna, 2013.
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Hackl, Klaus. IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials: Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Bochum, Germany, September 22-26, 2008. Springer Science+Business Media B.V., 2010.
Find full textBook chapters on the topic "Global analysis (mathematics) engineering mechanic"
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Vinduja, P., Vijisha K. Rajan, Swathi Krishna, and K. Muraleedharan. "A Computational Modeling of the Structure, Frontier Molecular Orbital (FMO) Analysis, and Global and Local Reactive Descriptors of a Phytochemical ‘Coumestrol’." In Mathematics Applied to Engineering in Action. Apple Academic Press, 2020. http://dx.doi.org/10.1201/9781003055174-2.
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Maurya, Rakesh Kumar, and Akhil Nekkanti. "Combustion Instability Analysis Using Wavelets in Conventional Diesel Engine." In Mathematical Concepts and Applications in Mechanical Engineering and Mechatronics. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-1639-2.ch019.
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Combustion instability affects the drivability, power, engine performance and efficiency. Elimination of combustion instabilities leads to increase in power for the same fuel economy. Effective controller can reduce combustion instabilities by understanding patterns in the cyclic variations. In this study, cyclic variations of combustion parameters were analyzed in a diesel engine using wavelet analysis. The experiments were conducted at varying loads and compression ratios at 1500 rpm. At steady state condition, cylinder pressure data of 2000 consecutive combustion cycles was measured. Continuous Wavelet Transform was used to capture non-stationary or transient features that might not have been detected using other transforms. Wavelet Power Spectrum (WPS) and Global Wavelet Spectrum were further used to determine the relationship between fluctuations in combustion parameters. Contour Plots were plotted based on WPS for visualizing the intensity and frequency of cyclic Variations. It was found that cyclic variability decreases with increase in engine load and compression ratio.
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Burgess, Melissa. "Using Second Life to Support Student Teachers’ Socio-Reflective Practice." In Cases on Interdisciplinary Research Trends in Science, Technology, Engineering, and Mathematics. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2214-2.ch006.
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Two congruent, yet converging phenomena are taking place in teacher preparation programs. The first centers on the integration and use of social technologies in collaborative learning, and the second focuses on the shifting of student-teacher reflective practices from private activities to interactive and social practices. The catalytic nature of social technologies provides opportunities to explore relationships between discourse and interactivity. Our global society pleads for educational institutions to prepare teachers who can navigate between cultures, deal with uncertainty, and share and question real-life issues toward structured dialogues, which, in turn, will elicit critical reflection. This mixed-methods analysis fuses social technology use with the Multi User Virtual Environment (MUVE), Second Life, with the social practice of reflection among student teachers during their field experience placements.
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Rochester, Ramonia R. "A Comparative Analysis of Single-Sex Education in the United Kingdom and Australia." In Handbook of Research on Education and Technology in a Changing Society. IGI Global, 2014. http://dx.doi.org/10.4018/978-1-4666-6046-5.ch088.
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Single-gender education or Single-Sex Education (SSE) has reemerged in the educational reform discussion as experts seek to establish clearer pathways to literacy in the 21st century. SSE discusses how students learn best in a convergent global model of emergent literacy practices. Views of single-gender education in the UK and Australia differ with respect to motivational underpinnings and perceptions of the efficacy of SSE. Central to the SSE debate in both countries is the widening achievement gap between boys and girls, particularly in the Science, Technology, Engineering, and Mathematics (STEM) disciplines. Both countries are moving toward a parallel model of SSE, offering gender-differentiated instruction in single-gender classrooms within co-educational schools. The chapter compares SSE in the two countries with respect to gender perspectives in curriculum and pedagogy; cultural, religious, and socio-economic motivations in school orientations; and the perceived returns on education for students schooled in a single-sex environment.
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"An Applied Mathematical Model for Business Transformation and Enterprise Architecture." In Using Applied Mathematical Models for Business Transformation. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1009-4.ch006.
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This chapter proposes a cross-business domain holistic mathematical model (HMM) that is the result of a lifetime of research on business transformations, applied mathematics, software modelling, business engineering, financial analysis, and global enterprise architecture. This research is based on an authentic and proprietary mixed research method that is supported by an underlining mainly qualitative holistic reasoning model module. The proposed HMM formalism attempts to mimic some functions of the human brain, which uses empirical processes that are mainly based on the beam-search, like heuristic decision-making process. The HMM can be used to implement a decision-making system or an expert system that can integrate the enterprise's business, information, and communication technology environments.
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Grenander, Ulf, and Michael I. Miller. "Introduction." In Pattern Theory. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198505709.003.0002.
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This book is to be an accessible book on patterns, their representation, and inference. There are a small number of ideas and techniques that, when mastered, make the subject more accessible. This book has arisen from ten years of a research program which the authors have embarked upon, building on the more abstract developments of metric pattern theory developed by one of the authors during the 1970s and 1980s. The material has been taught over multiple semesters as part of a second year graduate-level course in pattern theory, essentially an introduction for students interested in the representation of patterns which are observed in the natural world. The course has attracted students studying biomedical engineering, computer science, electrical engineering, and applied mathematics interested in speech recognition and computational linguistics, as well as areas of image analysis, and computer vision. Now the concept of patterns pervades the history of intellectual endeavor; it is one of the eternal followers in human thought. It appears again and again in science, taking on different forms in the various disciplines, and made rigorous through mathematical formalization. But the concept also lives in a less stringent form in the humanities, in novels and plays, even in everyday language. We use it all the time without attributing a formal meaning to it and yet with little risk of misunderstanding. So, what do we really mean by a pattern? Can we define it in strictly logical terms? And if we can, what use can we make of such a definition? These questions were answered by General Pattern Theory, a discipline initiated by Ulf Grenander in the late 1960s [1–5]. It has been an ambitious effort with the only original sketchy program having few if any practical applications, growing in mathematical maturity with a multitude of applications having appeared in biology/medicine and in computer vision, in language theory and object recognition, to mention but a few. Pattern theory attempts to provide an algebraic framework for describing patterns as structures regulated by rules, essentially a finite number of both local and global combinatory operations. Pattern theory takes a compositional view of the world, building more and more complex structures starting from simple ones. The basic rules for combining and building complex patterns from simpler ones are encoded via graphs and rules on transformation of these graphs.
Conference papers on the topic "Global analysis (mathematics) engineering mechanic"
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Baxter, Sarah C., and Philip A. Voglewede. "Probabilistic Analysis of a Metamorphic Mechanism Based on a Global Sensitivity Analysis: A Preliminary Study." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67322.
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Mathematical modeling is an important part of the engineering design cycle. Most models require application specific input parameters that are established by calculation or experiment. The accuracy of model predictions depends on underlying model assumptions as well as how uncertainty in knowledge of the parameters is transmitted through the mathematical structure of the model. Knowledge about the relative impact of individual parameters can help establish priorities in developing/choosing specific parameters and provide insight into a range of parameters that produce ‘equally good’ designs. In this work Global Sensitivity Analysis (GSA) is examined as a technique that can contribute to this insight by developing Sensitivity Indices, a measure of the relative importance, for each parameter. The approach is illustrated on a kinematic model of a metamorphic 4-bar mechanism. The model parameters are the lengths of the four links. The results of this probabilistic analysis highlight the synergy that must exist between all four link lengths to create a design that can follow the desired motion path. The impact of individual link lengths, however, rises and falls depending on where the mechanism is along its motion path.
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Brown, Ashland O. "Undergraduate Finite Element Instruction Using Commercial Finite Element Software Tutorials and the Kolb Learning Cycle." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-60756.
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As background, the Kolb learning cycle describes an entire cycle around which a learning experience progresses [1]. The goal, therefore, is to structure learning activities that will proceed completely around this cycle, providing the maximum opportunity for full student comprehension of the course material. This model has been used previously to evaluate and enhance teaching in engineering [2, 3, and 4]. Most college education is geared toward abstract conceptualiztion, but complete learning is enhanced by the use of all four learning stages Abstract Hypothesis and Conceptualization, Active Experimentation, Concrete Experience and Reflective Observation. Some parts of this paper were presented at an earlier conference [13]. The Finite Element (FE) method is a numerical procedure that is widely used to analyze engineering problems accurately and quickly in many corporations. It has become an essential and powerful analytical tool in designing products with ever-shorter development cycles [5, 6, and 7]. The use of commercial finite element software tutorials along with the Kolb model of learning has been used for the past three years to instruct undergraduate students in an introductory FE course. This paper provides outlines of the use of the commercial software tutorials using two Kolb learning cycles, a global learning cycle for the course and a micro learning cycle for the FE tutorials. The commercial FE software tutorials provide an excellent method to reinforce student’s retention of this complex numerical procedure. The software tutorials provide hands-on learning experiences that students need to reinforce the theoretical concepts covered in the lectures. The students are provided “Abstract Hypothesis/Conceptual Theory” that begins with the background of the FE method, fundamental mathematics of FE, move through the concept of “stiffness-analysis,” one-dimensional direct stiffness analysis of various structures, the topology of the various finite elements, error analysis of FE results, and concludes with engineering analysis of a typical engineering problem. These activities are interlaced with the hands-on MSC.Nastran1 software tutorials that begin stating the proposed problem in a manner that is “real-world” in nature then the student is supplied with background theory for the analysis they will attempt. The tutorials provide specific instructions on how to build the FE model of the problem using this commercial FEM code. The tutorial includes a step-by-step outline of the problem modeling with text and illustrations. The student then performs the analysis. Instead of doing this in a blind manner, the tutorial provides a connection to the abstract theory of FE and asks the student to perturb certain parameters in the model to predict the results apriori. This causes the students to make connections between the modeling techniques and the IMECE2004-60756 Undergraduate Finite Element Instruction using Commercial Finite Element Software Tutorials and the Kolb Learning Cycle underlying physics. This focuses in on the “Active Experimentation” part of Kolb’s cycle. After the student performs the analysis, they are asked to attempt to explain the differences between the FEM modeling and theoretical results. This requires students to engage in the “Reflective Observation” portion of Kolb’s cycle. In designing the learning experiences to completely transverse the Kolb cycle, students are fully engaged to understand the fundamentals of FE modeling and maximize the learning experience the tutorials provide. Near the conclusion of this course students are asked to develop prototype models of designs for engineering problems using FE and then asked to conduct experiments to verify their FE analysis. The Kolb model describes an entire cycle around which learning experiences progress Abstract Hypothesis and Conceptualization, Active Experimentation, Concrete Experience and Reflective Observation, and is shown below in Figure 1.
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Chen, Taicong, and Cheng Su. "Global parametric sensitivity analysis in cantilever erection practice of bridges." In 2010 International Conference on Mechanic Automation and Control Engineering (MACE). IEEE, 2010. http://dx.doi.org/10.1109/mace.2010.5536339.
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Ciocci, R. C., I. Abu-Mahfouz, and S. S. E. H. Elnashaie. "Analysis to Develop Hydrogen Production From Bio-Oils." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43225.
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The United States economy’s dependence on fossil fuels has historical significance but lacks vision for a long-lasting fuel consumption policy. Political complications, economic instabilities, supply shortages, and continued pollution contributions pose significant obstacles to continued reliance on oil. Alternative technologies based on renewable resources offer much more promise for a sustainable approach to meeting global energy needs. Recent research and applications have established hydrogen as a viable clean fuel source. Those applications, including fuel cells, have shown promise for the eventual migration from a fossil-fuel economy to one based on renewable energy sources. Air pollution, specifically contributions to greenhouse gases, is a major environmental hazard due to the use of fossil fuel-related hydrocarbons for fuel and industrial applications. An alternative, hydrogen, offers significant advantages as an ultra-clean fuel of the future when it is burned directly or processed through fuel cells. Currently, the main process for hydrogen production is catalytic steam reforming of natural gas. This process is relatively inefficient and does not allow the use of a wide range of feedstock materials including renewable sources. The objective of impending research is to develop this new, ultra-clean and efficient process, which converts a wide range of hydrocarbons, including renewable bio-oils, into pure hydrogen suitable for fuel cells and which also converts CO2 emission into syngas. The main impact is clearly on air pollution and global warming through the minimization of greenhouse gas emission and the economical production of pure hydrogen to foster the hydrogen economy. This new process will achieve considerable increase in hydrogen productivity and considerable decrease in the energy consumed to produce it. The technology will center on a circulating fluidized bed (CFB) that will separate hydrogen from bio-oils in an efficient process that greatly reduces polluting hydrocarbons compared to traditional fossil fuel processing. Early studies will include the mathematical modeling of computational fluid dynamics to identify process parameters. Eventually, a pilot plant will be used to verify/modify the mathematical model, for a wide range of conditions and renewable feedstocks. Testing the pilot plant will lead to the development of reliable design equations suitable for replication, build, and tight control of this novel process.
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Moatsos, Ioannis, and Purnendu K. Das. "Assessment of Structural Reliability of Ships Under Combined Loading Including Extreme Diurnal Temperature Effects." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51316.
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Research communities of various engineering and physical science fields have in the last year placed a lot of emphasis on modelling the ways climate change affects different engineering systems and therefore influences the methods by which these systems are designed. With a progressive change of our global climate to warmer and more variable conditions worldwide the effects of extreme weather changes are becoming now, more than ever, evident to our everyday lives and affect our safety. It is this effect of climate change that engineers now face the task of incorporating in their design of engineering systems, especially in the ship and offshore-related fields. In such cases of mathematical modelling and analysis variations of more than one variable that is climate dependent can significantly affect the design. The fact that ship structures do encounter temperature conditions that induce thermal stresses and deformation of practical importance has been recognized for some time. The need to develop efficient techniques of modelling extreme environmental phenomena is hence now more relevant than ever in the history of this type of research. A large amount of research exists in the area of extreme wave phenomena and their effects but in terms of extreme temperature and the effect of diurnal temperature changes research published has been very limited. This paper places emphasis on the modelling of loads for use in reliability analysis. Load combination methodology is used for the combination of wave bending, still water, slamming and thermal loads using various stochastic methods for load combination. A case study of an FPSO/Tanker vessel is analysed and diurnal temperature cycles, on structures already in operation in the North Sea/West of Shetland area, are modelled using these load combination techniques. Load combination factors are then introduced for calculating the total hull girder bending moment. Corrosion effects on the structure are modelled using a simple mathematical model derived from actual vessel measurements, statistical analysis and published research. Reliability analysis using a FORM-SORM component approach provides Partial Safety Factors and probabilities of failure.
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Yu, Qing, and Jer-Fang Wu. "Multi-Scale Finite Element Simulation of Progressive Damage in Composite Structures." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92064.
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A methodology for analyzing progressive damage accumulation on multiple spatial scales (micro- and macro-scale) in composite materials is presented in this paper. Idealization (homogenization) of heterogeneous media and evolution of damage on micro- and macro-scales are considered simultaneously at each incremental analysis step. The classical mathematical homogenization theory is extended to account for damage effects on distinct spatial scales through the introduction of an asymptotic expansion of damage parameter (or damage tensor in general). Local solutions on micro-scale provide the homogenized material properties that a global structure behaves on the macro-scales. The responses in the local fields, i.e. microscopic phases, can be reconstructed through the scale linking relations along with the global responses as input. The application of this multi-scale simulation method to composite patch repair for offshore structures is demonstrated by numerical examples.
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Eke, Christopher Ifeanyi, Azah Norman, Liyana Shuib, Faith B. Fatokun, and Isaiah Omame. "The Significance of Global Vectors Representation in Sarcasm Analysis." In 2020 International Conference in Mathematics, Computer Engineering and Computer Science (ICMCECS). IEEE, 2020. http://dx.doi.org/10.1109/icmcecs47690.2020.246997.
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Badami, Marco, Marco Cipriano, Gregory Kowalski, Armando Portoraro, and Mansour Zenouzi. "Molten Carbonate Fuel Cells for Carbon Capture From a Cogeneration System: A Comparative Analysis of Performance to Other Separation Technologies." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-70519.
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This paper develops a mathematical model for the performance assessment and optimization of a small-scale molten carbonate fuel cell (MCFC) stack for the CO2 capture and liquefaction from the exhausts coming from an Internal Combustion Engine (ICE) cogenerator. An internal heat exchangers network has been developed for enhancing heat recovery, optimizing the efficiency of the global system. The model is innovative because, even though similar studies are reported in literature, they have never focused on a small-scale applications of a cogeneration system or compared the global performance to other means of carbon capture and storage (CCS). The energetic performance of the system has been compared to that of a monoethanolamine (MEA) adsorption system, which today is the most common technology for the carbon capture in large scale power plants. The results of the simulation show a carbon capture percent of about 81.3%, while the electrical output of the MCFC is around 280 kW with a conversion efficiency of 54%. The overall efficiency of the cogenerator and CCS system is about 37%. In the investigated MCFC technology the CCS system has a high carbon capture efficiency and produces a net power output unlike competing technologies.
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Lu, Xiaoxiao, and Justin Seipel. "A Rotary-Leg Robot Model That Predicts Both Leg Revolution and Oscillation Behavior." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-65649.
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The Clock-Torqued Spring-Loaded Inverted Pendulum (CT-SLIP) model is extended to predict both leg revolution and oscillation behaviors. With this model we demonstrate that the center-of-mass locomotion dynamics of both leg revolution and oscillation cases have identical local stability with respect to small perturbations, while global stability (with respect to large perturbations) shows differences. This extension of the CT-SLIP model and comparative analysis has potential benefits in robot path planning where there may be a choice between a leg revolution or oscillation. Further, this analysis helps relate mathematical models and physical models based on leg revolution to animal locomotion that is dependent on leg retraction and oscillation.
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Roberts-Smith, Da’Janel, and Landon Onyebueke. "Determining Compatibility of Battery Storage Systems With Hybrid PV-Wind-Diesel Energy Systems." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-86256.
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Renewable energy is the only known source that can suffice the global demand in a sustainable way while preserving human and environmental health. Fossil fuels offer an unparalleled ability to robustly transform simple ideas into lucrative businesses and operations despite its inherent devastation imposed to the ecosystem and energy security. Together, fossil fuels, renewable energy and battery storage technology, offer great promise for an improved quality of life inclusive of global access to environmentally pristine, uninterrupted energy. Hybrid systems can be designed to deliver clean, portable energy cost-effectively, efficiently and reliably while minimizing present-day economic and environmental impact. An improvement in battery storage technology is of paramount importance to design an optimal hybrid system necessary to meet peak demands and compensate for intermittency within renewable energy resources. Various battery types have been developed as the technology of choice for renewable energy applications but compatibility issues of different battery systems to renewable energy sources remain. This study provides a comparative analysis of battery storage systems and introduces a mathematical model for a photovoltaic-wind-diesel hybrid system integrating optimization and performance techniques along with an economic analysis that will be used for further study and future simulation.