Log in

Relevant bibliographies by topics / Geometry Mathematical models

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers
Reports

Academic literature on the topic 'Geometry Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Geometry Mathematical models.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Geometry Mathematical models"

1

Сальков and Nikolay Sal'kov. "Geometric Simulation and Descriptive Geometry." Geometry & Graphics 4, no. 4 (2016): 31–40. http://dx.doi.org/10.12737/22841.

Full text

Abstract:

Geometric simulation is creation of a geometric model, whose properties and characteristics in a varying degree determine the subject of investigation’s properties and characteristics. The geometric model is a special case of the mathematical model. The feature of the geometric model is that it will always be a geometric figure, and therefore, by its very nature, is visual. If the mathematical model is a set of equations, which says little to an ordinary engineer, the geometric model as representation of the mathematical model and as the geometric figure itself, enables to &#34;see&#34; this set. Any geometric model can be represented graphically. Graphical model of an object is a mapping of its geometric model onto a plane (or other surface). Therefore, the graphical model can be considered as a special case of the geometric model. Graphical models are very various – these are graphics, and graphical structures of immense complexity, reflecting spatial geometric figures. These are drawings of geometric figures, simulating processes of all kinds. The simulation goes on as follows. According to known geometric and differential criteria the geometric model is executed. Then a mathematical model is composed based on the geometric model, finally a computer program is compiled on the mathematical model. As a result of consideration in this paper the process of obtaining the geometric models of surface and linear forms for auto-roads it is possible to make a following conclusion. For geometric simulation and the consequent mathematical one the descriptive geometry involvement is vital. Just the descriptive geometry is used both on the initial and final stages of design.

APA, Harvard, Vancouver, ISO, and other styles

2

Isaev, Alexander, Ramil Khamzin, Artem Ershov, and Marco Leonesio. "Mathematical Models of the Geometry of Micro Milling Cutters." EPJ Web of Conferences 248 (2021): 04003. http://dx.doi.org/10.1051/epjconf/202124804003.

Full text

Abstract:

Micromachining is an up-to-date technology widely used in different advanced areas like electronics, aerospace and medical industries. For manufacturing components with highest precision and lowest surface roughness, small-sized end mills with working diameter of less than 1 mm are often used. In this paper, in order to determine the functional relationships between structural strength, cutting properties and geometry of small-sized cutting tools, the mathematical models of working part of micro milling cutters were derived.

APA, Harvard, Vancouver, ISO, and other styles

3

Meng, Qingen, John Fisher, and Ruth Wilcox. "The effects of geometric uncertainties on computational modelling of knee biomechanics." Royal Society Open Science 4, no. 8 (2017): 170670. http://dx.doi.org/10.1098/rsos.170670.

Full text

Abstract:

The geometry of the articular components of the knee is an important factor in predicting joint mechanics in computational models. There are a number of uncertainties in the definition of the geometry of cartilage and meniscus, and evaluating the effects of these uncertainties is fundamental to understanding the level of reliability of the models. In this study, the sensitivity of knee mechanics to geometric uncertainties was investigated by comparing polynomial-based and image-based knee models and varying the size of meniscus. The results suggested that the geometric uncertainties in cartilage and meniscus resulting from the resolution of MRI and the accuracy of segmentation caused considerable effects on the predicted knee mechanics. Moreover, even if the mathematical geometric descriptors can be very close to the imaged-based articular surfaces, the detailed contact pressure distribution produced by the mathematical geometric descriptors was not the same as that of the image-based model. However, the trends predicted by the models based on mathematical geometric descriptors were similar to those of the imaged-based models.

APA, Harvard, Vancouver, ISO, and other styles

4

Dufresne, Emilie, Heather A. Harrington, and Dhruva V. Raman. "The geometry of Sloppiness." Journal of Algebraic Statistics 9, no. 1 (2018): 30–68. http://dx.doi.org/10.18409/jas.v9i1.64.

Full text

Abstract:

The use of mathematical models in the sciences often requires the estimation of unknown parameter values from data. Sloppiness provides information about the uncertainty of this task. In this paper, we develop a precise mathematical foundation for sloppiness and define rigorously its key concepts, such as `model manifold', in relation to concepts of structural identifiability. We redefine sloppiness conceptually as a comparison between the premetric on parameter space induced by measurement noise and a reference metric. This opens up the possibility of alternative quantification of sloppiness, beyond the standard use of the Fisher Information Matrix, which assumes that parameter space is equipped with the usual Euclidean and the measurement error is infinitesimal. Applications include parametric statistical models, explicit time dependent models, and ordinary differential equation models.

APA, Harvard, Vancouver, ISO, and other styles

5

Umulis, David M., and Hans G. Othmer. "The importance of geometry in mathematical models of developing systems." Current Opinion in Genetics & Development 22, no. 6 (2012): 547–52. http://dx.doi.org/10.1016/j.gde.2012.09.007.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Ståhle, Lars. "On mathematical models of microdialysis: geometry, steady-state models, recovery and probe radius." Advanced Drug Delivery Reviews 45, no. 2-3 (2000): 149–67. http://dx.doi.org/10.1016/s0169-409x(00)00108-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Келдибекова, Аида, Aida Keldibekova, Н. Селиванова, and N. Selivanova. "The Role and the Place of Geometry in the System of Mathematical School Olympiads." Scientific Research and Development. Socio-Humanitarian Research and Technology 8, no. 2 (2019): 72–76. http://dx.doi.org/10.12737/article_5cf5188ea59b11.06698992.

Full text

Abstract:

The purpose of this article is to determine the role and place of school geometry in the subject olympiad system. For this, the authors turn to the experience of Russia in organizing and conducting geometric olympiads for schoolchildren, exploring the specifics of the olympiads named after named I.F. Sharygin, named S.A. Anischenko, named A.P. Savina, Moscow and Iran olympiads. The objectives and themes of full-time, extramural, oral geometric olympiads are defined. It is revealed that the topics of topology, projective, affine, combinatorial sections of geometry constitute the content of olympiad geometry. The study showed that the tasks of the olympiad work on geometry checked mathematical skills to perform actions with geometric figures, coordinates and vectors; build and explore simple mathematical models; apply acquired knowledge and skills in practical activities. The conclusions are made about the need to include tasks of geometric content in the block of olympiad tasks for the development of spatial thinking of schoolchildren.

APA, Harvard, Vancouver, ISO, and other styles

8

Vorontsova, Valeriya Leonidovna, Alfiya Gizzetdinovna Bagoutdinova, and Almaz Fernandovich Gilemzianov. "Mathematical Models of the Ocurved Spring Tubes Surfaces." Journal of Computational and Theoretical Nanoscience 16, no. 11 (2019): 4554–59. http://dx.doi.org/10.1166/jctn.2019.8353.

Full text

Abstract:

One of the ways to intensify heat exchange processes is the creation of compact heat exchangers with a developed heat exchange surface. It is known that coil-type channels provide a developed heat exchange surface and belong to one of the most efficient and technological designs of heat exchange elements. In this regard, the authors proposed a small-size heat exchanger of the “pipe in pipe” type with an internal coil spring-twisted channel, and the authors of the proposed article developed mathematical models describing the heat-exchange surfaces of pipes of complex configurations, including coil spring-coiled channels. The equations of heat transfer surfaces are written in vector-parametric form based on the fundamental principles of analytical and differential geometry. In order to verify the adequacy and visualization of the written equations, surfaces were constructed using the Matlab application software package. The proposed mathematical models can be used in computer simulation of hydrodynamic processes during the flow of liquid media in curved channels, which will allow to explore and further optimize their internal geometry by changing the parameters of the equations. This work is a continuation of research on the creation of efficient heat exchangers.

APA, Harvard, Vancouver, ISO, and other styles

9

Mao, Jian, and Man Zhao. "Mathematical Model for Assembly Tolerance Consistence Evaluation." Applied Mechanics and Materials 401-403 (September 2013): 1610–13. http://dx.doi.org/10.4028/www.scientific.net/amm.401-403.1610.

Full text

Abstract:

An assembly is described by a geometric model of its parts and their relative placement. Assembly tolerances are the result of parts of varying shape and size being put together to make the finished product. This paper considers the case where parts have tolerance geometry. Its main contribution is to use a tensor space to describe assembly features. The mathematical models are developed. The proposed approach is based on assembly feasibility analysis of shaft and hole features.

APA, Harvard, Vancouver, ISO, and other styles

10

Aberšek, Boris, and Jože Flašker. "Review of Experimental Models for Confirmation of Mathematical Models of Gears." Key Engineering Materials 385-387 (July 2008): 345–48. http://dx.doi.org/10.4028/www.scientific.net/kem.385-387.345.

Full text

Abstract:

In order to calculate the service life as precisely and reliably as possible we need good mathematical models for describing loading, geometry, properties of materials and fracture mechanics parameters. It can be established whether a mathematical model is precise and reliable only by comparison of results of the method such as analytical methods in case of simple problems and experiment when real complex structure are deal with. Since gears and gearing belong to the second group, by correctly selected and developed test pieces and carefully planned experiments we obtained results with which we confirmed and justified the mathematical model for calculating mentioned parameters. To this end we will show in this paper series of experimental methods and test pieces used on the gears.

APA, Harvard, Vancouver, ISO, and other styles

More sources

Dissertations / Theses on the topic "Geometry Mathematical models"

1

Liu, Yang, and 劉洋. "Optimization and differential geometry for geometric modeling." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2008. http://hub.hku.hk/bib/B40988077.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Tucker, Gayle. "Mathematical modelling in neurophysiology : neuronal geometry in the construction of neuronal models." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.414405.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Chou, Chia-Peng. "A mathematical model of building daylighting based on first principles of astrometry, solid geometry and optical radiation transfer." Diss., Virginia Polytechnic Institute and State University, 1987. http://hdl.handle.net/10919/82904.

Full text

Abstract:

There is a growing recognition in design professions that lighting is a significant factor in energy consideration. This has generated an interest in daylighting; the bringing of direct and diffuse daylight into buildings to reduce the use of artificial lighting. Many methods exist for quantifying diffuse daylight distribution for use in the design of buildings, but the methods vary widely both in technique and capability. Moreover, no present method deals with direct daylight (sunshine) distribution. Additionally, none have taken advantage of improvements in computer technology that make feasible more complex mathematical computational models for dealing with direct and diffuse daylight together. This dissertation describes the theoretical development and computer implementation of a new mathematical approach to analyzing the distribution of direct and diffuse daylight. This approach examines light transfer from extraterrestrial space to the inside of a room based on the principles of astrometry, solid geometry, and radiation transfer. This study discusses and analyzes certain aspects critical to develop a mathematical model for evaluating daylight performance and compares the results of the proposed model with 48 scale model studies to determine the validity of using this mathematical model to predict the daylight distribution of a room. Subsequent analysis revealed no significant variation between scale model studies and this computer simulation. Consequently, this mathematical model with the attendant computer program, has demonstrated the ability to predict direct and diffuse daylight distribution. Thus, this approach does indeed have the potential for allowing designers to predict the effect of daylight performance in the schematic design stage. A microcomputer program has been developed to calculate the diffuse daylight distribution. The computation procedures of the program use the proposed mathematical model method. The program was developed with a menu-driven format, where the input data can be easily chosen, stored, and changed to determine the effects of different parameters. Results can be obtained through two formats. One data format provides complete material for analyzing the aperture size and location, glass transmission, reflectance factors, and room orientation. The other provides the graphic displays which represent the illuminance in plan, section, and 3-dimensional contour. The program not only offers a design tool for determining the effects of various daylighting options quickly and accurately in the early design stage, but also presents the daylight distribution with less explanation and with more rapid communication with the clients. The program is written in BASICA language and can be used with the IBM microcomputer system.<br>Ph. D.

APA, Harvard, Vancouver, ISO, and other styles

4

張麗霞 and Lai-ha Freda Cheung. "On envelopes and envelope theorem." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1991. http://hub.hku.hk/bib/B31976505.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Koehl, Christian. "Geometry of supersymmetric sigma models and D-brane solitons." Thesis, Queen Mary, University of London, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.325106.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Tran, Tat Dat. "Information Geometry and the Wright-Fisher model of Mathematical Population Genetics." Doctoral thesis, Universitätsbibliothek Leipzig, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-90508.

Full text

Abstract:

My thesis addresses a systematic approach to stochastic models in population genetics; in particular, the Wright-Fisher models affected only by the random genetic drift. I used various mathematical methods such as Probability, PDE, and Geometry to answer an important question: \"How do genetic change factors (random genetic drift, selection, mutation, migration, random environment, etc.) affect the behavior of gene frequencies or genotype frequencies in generations?”. In a Hardy-Weinberg model, the Mendelian population model of a very large number of individuals without genetic change factors, the answer is simple by the Hardy-Weinberg principle: gene frequencies remain unchanged from generation to generation, and genotype frequencies from the second generation onward remain also unchanged from generation to generation. With directional genetic change factors (selection, mutation, migration), we will have a deterministic dynamics of gene frequencies, which has been studied rather in detail. With non-directional genetic change factors (random genetic drift, random environment), we will have a stochastic dynamics of gene frequencies, which has been studied with much more interests. A combination of these factors has also been considered. We consider a monoecious diploid population of fixed size N with n + 1 possible alleles at a given locus A, and assume that the evolution of population was only affected by the random genetic drift. The question is that what the behavior of the distribution of relative frequencies of alleles in time and its stochastic quantities are. When N is large enough, we can approximate this discrete Markov chain to a continuous Markov with the same characteristics. In 1931, Kolmogorov first introduced a nice relation between a continuous Markov process and diffusion equations. These equations called the (backward/forward) Kolmogorov equations which have been first applied in population genetics in 1945 by Wright. Note that these equations are singular parabolic equations (diffusion coefficients vanish on boundary). To solve them, we use generalized hypergeometric functions. To know more about what will happen after the first exit time, or more general, the behavior of whole process, in joint work with J. Hofrichter, we define the global solution by moment conditions; calculate the component solutions by boundary flux method and combinatorics method. One interesting property is that some statistical quantities of interest are solutions of a singular elliptic second order linear equation with discontinuous (or incomplete) boundary values. A lot of papers, textbooks have used this property to find those quantities. However, the uniqueness of these problems has not been proved. Littler, in his PhD thesis in 1975, took up the uniqueness problem but his proof, in my view, is not rigorous. In joint work with J. Hofrichter, we showed two different ways to prove the uniqueness rigorously. The first way is the approximation method. The second way is the blow-up method which is conducted by J. Hofrichter. By applying the Information Geometry, which was first introduced by Amari in 1985, we see that the local state space is an Einstein space, and also a dually flat manifold with the Fisher metric; the differential operator of the Kolmogorov equation is the affine Laplacian which can be represented in various coordinates and on various spaces. Dynamics on the whole state space explains some biological phenomena.

APA, Harvard, Vancouver, ISO, and other styles

7

Mazzetti, Caterina. "A mathematical model of the motor cortex." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/15002/.

Full text

Abstract:

In this work we present a geometric model of motor cortex that generalizes an already existing model of visual cortex. The thesis opens by recalling the notions of fiber bundles, principal bundles, Lie groups and sub-Riemannian geometry. In particular, we enunciate Chow’s theorem which ensures that if the Hörmander condition holds, the space connectivity property is satisfied. Then we recall the visual cortex model proposed by Citti-Sarti, which describes the set of simple cells as a Lie group with sub-Riemannian metric. The original part of the thesis is the extension to the motor cortex. Based on neural data, collected by Georgopoulos, we study the set of motor cortical cells and we describe them as a principal bundle. The fiber contains the movement direction and shapes the hypercolumnar structure measured. Finally we determine the intrinsic coordinates of the motor cortex, studying the cellular response to the motor impulse.

APA, Harvard, Vancouver, ISO, and other styles

8

Soderquist, Hans Lars. "Automatic geometric data migration throughout views of a model fidelity family /." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1184.pdf.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Grudić, Gregory Z. "Iterative inverse kinematics with manipulator configuration control and proof of convergence." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/42018.

Full text

Abstract:

A complete solution to the inverse kinematics problem for a large class of practical manipulators, which includes manipulators with no closed form inverse kinematics equations, is presented in this thesis. A complete solution to the inverse kinematics problem of a manipulator is defined as a method for obtaining the required joint variable values to establish the desired endpoint position, endpoint orientation, and manipulator configuration; the only requirement being that the desired solution exists. For all manipulator geometries that satisfy a set of conditions (THEOREM I), an algorithm is presented that is theoretically guaranteed to always converge to the desired solution (if it exists). The algorithm is extensively tested on two complex 6 degree of freedom manipulators which have no known closed form inverse kinematics equations. It is shown that the algorithm can be used in real time manipulator control. Applications of the method to other 6 DOF manipulator geometries and to redundant manipulators are discussed.<br>Applied Science, Faculty of<br>Electrical and Computer Engineering, Department of<br>Graduate

APA, Harvard, Vancouver, ISO, and other styles

10

Schuerg, Frank. "Fractal geometry of iso-surfaces of a passive scalar in a turbulent boundary layer." Thesis, Available online, Georgia Institute of Technology, 2004:, 2003. http://etd.gatech.edu/theses/available/etd-04082004-180358/unrestricted/schuerg%5ffrank%5f200312%5fms.pdf.

Full text

APA, Harvard, Vancouver, ISO, and other styles

More sources

Books on the topic "Geometry Mathematical models"

1

Kondō, Kazuo. Higher order geometry of the brain. s.n.], 1999.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

2

Kondō, Kazuo. Higher order geometry of the brain. s.n.], 1999.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

3

Todd, Philip H. Intrinsic geometry ofbiological surface growth. Springer-Verlag, 1986.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

4

Intrinsic geometry of biological surface growth. Springer-Verlag, 1986.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

5

Balaban, Alexandru T. From chemical topology to three-dimensional geometry. Kluwer Academic, 1999.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

6

Dixon, John C. Suspension geometry and computation. Wiley, 2009.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

7

Dixon, John C. Suspension geometry and computation. Wiley, 2009.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

8

Stoi͡an, I͡Uriĭ Grigorʹevich. Matematicheskie modeli i optimizat͡sionnye metody geometricheskogo proektirovanii͡a. Nauk. dumka, 1986.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

9

Malkevitch, Joseph. Graph models. COMAP, 1995.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

10

Illert, Christopher Roy. Foundations of theoretical conchology. 2nd ed. Hadronic Press, 1995.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

More sources

Book chapters on the topic "Geometry Mathematical models"

1

do Carmo, Manfredo P., Gerd Fischer, Ulrich Pinkall, and Helmut Reckziegel. "Differential Geometry." In Mathematical Models. Springer Fachmedien Wiesbaden, 2017. http://dx.doi.org/10.1007/978-3-658-18865-8_10.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Fischer, Gerd. "Differential Geometry." In Mathematical Models. Springer Fachmedien Wiesbaden, 2017. http://dx.doi.org/10.1007/978-3-658-18865-8_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Fischer, Gerd. "Elementary Analytic Geometry." In Mathematical Models. Springer Fachmedien Wiesbaden, 2017. http://dx.doi.org/10.1007/978-3-658-18865-8_1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Fischer, Gerd. "Elementary Analytic Geometry." In Mathematical Models. Springer Fachmedien Wiesbaden, 2017. http://dx.doi.org/10.1007/978-3-658-18865-8_8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Matos, José Manuel. "Cognitive Models in Geometry Learning." In Mathematical Problem Solving and New Information Technologies. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-58142-7_7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Ambartsoumian, Gaik. "Integral Geometry and Mathematical Problems of Image Reconstruction." In Mathematical Models, Methods and Applications. Springer Singapore, 2015. http://dx.doi.org/10.1007/978-981-287-973-8_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Krueger, Ryan, Jesse Michael Han, and Daniel Selsam. "Automatically Building Diagrams for Olympiad Geometry Problems." In Automated Deduction – CADE 28. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-79876-5_33.

Full text

Abstract:

AbstractWe present a method for automatically building diagrams for olympiad-level geometry problems and implement our approach in a new open-source software tool, the Geometry Model Builder (GMB). Central to our method is a new domain-specific language, the Geometry Model-Building Language (GMBL), for specifying geometry problems along with additional metadata useful for building diagrams. A GMBL program specifies (1) how to parameterize geometric objects (or sets of geometric objects) and initialize these parameterized quantities, (2) which quantities to compute directly from other quantities, and (3) additional constraints to accumulate into a (differentiable) loss function. A GMBL program induces a (usually) tractable numerical optimization problem whose solutions correspond to diagrams of the original problem statement, and that we can solve reliably using gradient descent. Of the 39 geometry problems since 2000 appearing in the International Mathematical Olympiad, 36 can be expressed in our logic and our system can produce diagrams for 94% of them on average. To the best of our knowledge, our method is the first in automated geometry diagram construction to generate models for such complex problems.

APA, Harvard, Vancouver, ISO, and other styles

8

Penrose, R. "Time, Space and Complex Geometry." In Modern Mathematical Models of Time and their Applications to Physics and Cosmology. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5628-8_19.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Bertails-Descoubes, Florence. "Geometry and Mechanics of Fibers: Some Numerical Models." In Mathematical Progress in Expressive Image Synthesis III. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1076-7_1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Chan, Hei-Long, and Lok-Ming Lui. "Recent Development of Medical Shape Analysis via Computational Quasi-Conformal Geometry." In Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-03009-4_70-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Geometry Mathematical models"

1

Moreira, Michel Fábio de Souza, Alipio Barbosa, John Sousa, Rafael Monteiro, and HANDERSON CORREA GOMES. "COMPARISON BETWEEN SOLAR TRACKING SYSTEMS DEVELOPED FROM MATHEMATICAL MODELS OF SOLAR GEOMETRY AND LDR SENSORS." In Brazilian Congress of Thermal Sciences and Engineering. ABCM, 2018. http://dx.doi.org/10.26678/abcm.encit2018.cit18-0366.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Hamadiche, Mahmoud. "Fluid and Structure Interaction in Cochlea’s Similar Geometry." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30019.

Full text

Abstract:

A non linear mathematical model addressing the passive mechanism of the cochlea is proposed in this work. In this respect, the interaction between the basilar membrane seen as an elastic solid and fluids in both scala vestibuli and tympani is developed. Via the fluid/solid interface, a full fluid/solid interaction is taking into account. Furthermore a significant improvement of the existing models has been made in both fluid flow modelling and solid modelling. In the present paper, the flow is three dimensional and the solid is non homogeneous two dimensional membrane where the material parameters depend only on the axial distance. The problem formulation leads to a system of non linear partial differential equations. Solution of the linearized system of partial differential equations of the proposed approach is presented. The numerical results obvious a lower and upper limits of the cochlea resonance frequency versus the material parameters of the basilar membrane. It is shown that a monochromatic acoustic wave energises only a portion of the basilar membrane and the location of the excited portion depends on the frequency of the incident acoustic wave. Those results explain the ability of the cochlea in deciphering the frequency of sound with high resolution in striking similarity with the known experimental results. The mathematical model shows that the excited strip of the basilar membrane by a monochromatic acoustic wave is very small when a transverse wave exists in the basilar membrane. Thus, a transverse wave improves highly the resolution of the cochlea in deciphering the high frequency of the incident acoustic wave.

APA, Harvard, Vancouver, ISO, and other styles

3

Sigal, Ian A., Hongli Yang, Michael D. Roberts, and J. Crawford Downs. "Using Mesh Morphing to Study the Influence of Geometry on Biomechanics: An Example in Ocular Biomechanics." In ASME 2008 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2008. http://dx.doi.org/10.1115/sbc2008-193069.

Full text

Abstract:

Biomechanical response is often influenced by the geometry (shape) of a system. Numerical techniques such as the finite element (FE) method offer the possibility of incorporating geometric details of a system into a mathematical model with a greater level of detail than is generally achievable with purely analytical models. In this vein, FE models of biological structures tend to fall into two broad categories: generic models and specimen-specific models. Generic models are attractive because the geometric features of interest may be cast as variable parameters that simplify analysis of factor influence, but may be limited in what can be predicted about a specific specimen. In contrast, specimen-specific models may contain a high level of geometric detail, but analysis of the influence of geometry can be more complicated.

APA, Harvard, Vancouver, ISO, and other styles

4

de Vries, Charlotte M., and Matthew B. Parkinson. "Modeling the Variability of Glenoid Geometry in Intact Shoulders." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59934.

Full text

Abstract:

The objective of this research is to model the geometric variability of the glenoid (the “socket” component of the “ball and socket” connection of the shoulder joint) of the scapula. The model must capture the observed variability with sufficient resolution such that it informs operative and design decisions. This required the quantification of variability in landmark locations and relevant bone geometry. Landmarks were placed on the existing glenoid meshes, such that they provided enough information to represent the geometry, while being consistent across each glenoid. Additionally, the surface geometry of the glenoid vault was modeled. This required the application of existing mathematical and statistical modeling approaches, including geometric fitting, radial basis functions, and principal component analysis. The landmark identification process represented the glenoid in new manner. The work was validated against existing approaches and CT scans from 42 patients. A range of information on shoulder geometries can assist with preoperative planning, as well as implant design, for Total Shoulder Arthroplasty (TSA). Principal component analysis (PCA) was used to quantify the variability of shape across the glenoid landmarks, and synthesize new glenoid models. The process of creation of these shoulder geometries may possibly be useful for the study of other joints. The models created will help surgeons and engineers to understand the effects of osteoarthritis on bone geometry, as well as the range of variability present in healthy shoulders.

APA, Harvard, Vancouver, ISO, and other styles

5

Nakate, Prajakta, Domenico Lahaye, Cornelis Vuik, and Marco Talice. "Systematic Development and Mesh Sensitivity Analysis of a Mathematical Model for an Anode Baking Furnace." In ASME 2018 5th Joint US-European Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/fedsm2018-83131.

Full text

Abstract:

The anode baking process is developed and improved since the 1980s due to its importance in Aluminium industry. The process is characterized by multiple physical phenomena including turbulent flow, combustion process, conjugate heat transfer, and radiation. In order to obtain an efficient process with regards to quality of anodes, soot-free combustion, reduction of NOx and minimization of energy, a mathematical model can be developed. A mathematical model describes the physical phenomena and provides a deeper understanding of the process. Turbulent flow is one of the important physical phenomena in an anode baking process. In the present work, isothermal turbulent flow is studied in detail with respect to two turbulence models in COMSOL Multiphysics software. The difference between wall boundary conditions for these models and their sensitivity towards the boundary layer mesh is investigated. A dimen-sionless distance in viscous scale units is used as a parameter for comparison of models with and without a boundary layer mesh. The investigation suggests that the boundary layer mesh for both turbulence models increase the accuracy of flow field near walls. Moreover, it is observed that along with the accuracy, the numerical convergence of Spalart-Allmaras turbulence model in COMSOL Multiphysics is highly sensitive to the boundary layer mesh. Therefore, development of converged Spalart-Allmaras model for the complete geometry is difficult due to the necessity of refined mesh. Whereas, the numerical convergence of k-ε model in COMSOL Multiphysics is less sensitive to the dimen-sionless viscous scale unit distance. A converged solution of the complete geometry k-ε model is feasible to obtain even with less refined mesh at the boundary. However, a comparison of a developed solution of k-ε model with another simulation environment indicates differences which enhance the requirement of having converged Spalart-Allmaras model for complete geometry.

APA, Harvard, Vancouver, ISO, and other styles

6

Lin, Tengjiao, Hang Li, Wen Liu, and Jun Zhao. "Mathematical Modeling and Dynamic Contact Analysis of Beveloid Gear Pairs in Marine Gearbox With Small Shaft Angle." 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/detc2017-67073.

Full text

Abstract:

The research objective of this study is involute beveloid gears in marine gearbox with small shaft angle. Based on the theory of gear geometry and the generation mechanism, the mathematical models of beveloid gear pairs are derived according to the tooth surface equations of the imaginary counterpart rack. Then a parametric modeling programs of beveloid gears are developed to automatically generate exact model of tooth surface, so as to establish gear solid models. Subsequently, the assembly models are established according to the spatial geometry relation of beveloid gear pairs with intersected axis and crossed axis respectively. On this basis, the finite element models of beveloid gear pairs with intersected axis and crossed axis are established, and the dynamic contact force, dynamic stress distribution and dynamic transmission error are obtained by dynamic contact finite element analysis.

APA, Harvard, Vancouver, ISO, and other styles

7

Hamadiche, M. "Aneurysm No-Linear Unsteady Dynamic: Mathematical Modeling." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97266.

Full text

Abstract:

A second order no-linear partial differential equation is worked out to describe the interaction of the flow with an elastic shell in large deformation domain. The model intends to describe the vibration of an aneurysm in arteries and veins. Two models are presented in this work. In the first one, the shell is inserted in otherwise rigid plane channel and in the second model the shell is inserted in otherwise rigid tube. In order to allow large displacement, the shell motion is described by Lagrangian variables. The steady version of the governing equation is a second order no-linear differential equation. A formal solution of the steady no-linear equation is obtained for plane channel model. It is shown that a steady solution exists only for some values of the dimensionless parameters ϕ and λ where ϕ is the ratio of transmural pressure to the elasticity coefficient and λ is the ratio of volume flux to the elasticity coefficient. The critical curve in the plan (ϕ,λ) for some control parameters are computed. Then, an unsteady solution of the no-linear unsteady equation is obtained numerically. It is found that the time signal prescribed by the unsteady no-linear solution depends strongly on the numerical values of the rheological parameters of the system. It is suggested that these signals could be used as a non invasive method in the diagnostic of the aneurysm when its vibration could be detected by a non invasive method. The linear analysis of the cylindrical geometry model shows that the aneurysm structure can be locked with heart pulse in a resonance frequency when the wall of the aneurysm becomes soft leading eventually to its rupture.

APA, Harvard, Vancouver, ISO, and other styles

8

Yanase, Kenya, and Toshimichi Fukuoka. "Mathematical Expressions of Helical Thread Geometry and Cross Sectional Areas of Various Shaped Thread Forms and Finite Element Analysis." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97553.

Full text

Abstract:

Distinctive mechanical behavior of bolted joints is caused by the helical shape of thread geometry. Mathematical expression of the helical thread geometry of a single-thread screw has successfully been derived in the previous study. Using the derived equations, finite element models were constructed by taking account of the effect of the helix, and it is clarified how the stress distributes along the thread root and where the maximum stress occurs. Meanwhile, there are various thread forms other than a single-thread triangular screw. In this study, mathematical expressions of the helical thread geometry and the cross sectional areas of multiple-thread screws, pipe thread, trapezoidal thread and rectangular thread are derived in the same manner as in the case of a single-thread screw. Using the equations so obtained, finite element models with multiple-thread screws are constructed. From the numerical results, it is found that the maximum axial stress occurred in the bolted joints on a double-thread screw is slightly larger than the case of a single-thread screw, although the stress distribution patterns are almost identical in both types of screw geometry.

APA, Harvard, Vancouver, ISO, and other styles

9

Dmitrieva, Ilzina, Gennadiy Ivanov, and Alexey Mineev. "Geometric support of algorithms for solving Problems of higher mathematics." In International Conference "Computing for Physics and Technology - CPT2020". Bryansk State Technical University, 2020. http://dx.doi.org/10.30987/conferencearticle_5fce277310b6d4.05756248.

Full text

Abstract:

The need to improve the level of mathematical in particular geometric training of students of technical universities is due to modern technologies of computer-aided design. They are based on mathematical models of designed products, technological processes, etc., taking into account a large variety of source data. Therefore, from the first years of technical universities, when studying the cycle of mathematical disciplines, it is advisable to interpret a number of issues in terms and concepts of multidimensional geometry. At the same time, the combination of constructive (graphical) algorithms for solving problems in descriptive geometry with analytical algorithms in linear algebra and matanalysis allows us to summarize their advantages: the constructive approach provides the imagery inherent in engineering thinking, and the analytical approach provides the final result. The article shows the effectiveness of combining constructive and analytical algorithms for solving problems involving linear and nonlinear forms of many variables using specific examples.

APA, Harvard, Vancouver, ISO, and other styles

10

Yim, Soonkyu, and Hae Chang Gea. "Development of an Image-Based CAD Using Wavelet Transform." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/dac-14262.

Full text

Abstract:

Abstract Traditionally, designers describe features of objects from various geometric modeling tools. However, a geometry-based system requires complex mathematical formulations and data structures that make it very cumbersome to manipulate. Furthermore, Layered Manufacturing (LM) has become a prominent manufacturing technology in recent years. To support LM under geometry based CAD systems, users have to slice the model into layers. It is obvious that geometric characteristics of the geometry-based CAD models are destroyed during these conversions, at the same time, additional efforts and costs will be accumulated. To bridge the gap between CAD and LM, an image-based data format instead of a geometry based data format is proposed to serve as the foundation of CAD systems in this paper. A wavelet transform is used to reduce the file size and produce multi-resolution image map. To further increase the computational efficiency of the algorithm, we developed the Reduced Haar Wavelet transform and a bit-remainder index.

APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Geometry Mathematical models"

1

De Silva, K. N. A mathematical model for optimization of sample geometry for radiation measurements. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1988. http://dx.doi.org/10.4095/122732.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!