Academic literature on the topic 'Torsion'

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Journal articles on the topic "Torsion"

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Lythe, G. R., and D. Surry. "Wind-induced torsional loads on buildings." Canadian Journal of Civil Engineering 19, no. 4 (August 1, 1992): 711–23. http://dx.doi.org/10.1139/l92-079.

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This paper examines the mean and peak torsional wind loads on tall buildings using two data bases of torsion measured experimentally in wind tunnel tests: the first, a large data base of mean torsional loads; and the second, a smaller data base of peak torsions. Although the mean load constitutes only a part of the total peak load required for design, it provides considerable insight into the aerodynamics of torsion, while improvement in its estimation also improves the estimation of the total peak load, using empirical gust factor methods. Comparisons between experimental results and the corresponding provisions of the 1985 National Building Code of Canada and Commentary indicate that, while the NBCC is a good estimator of mean shear loads, it significantly underestimates the mean torsional loads on tall buildings. The experimental data are further analysed to provide an improved estimation method for both the mean and the peak torsion. For mean torsion, this involves evaluating various definitions of the torsion coefficient and classifying building shapes in order to decrease the variability of the associated coefficients. This process leads to some notion of those shapes susceptible to large torsional loads and the most important building parameters on which to base predictions. This insight, along with the data base of peak torsion, is used to simplify and improve an existing method for estimating peak torsion, which was developed using a smaller data base. Key words: torsion, wind loading, codes, wind tunnel tests, tall buildings.
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Mohamed, Osama Ahmed, and Mohamed Sherif Mehana. "Assessment of Accidental Torsion in Building Structures Using Static and Dynamic Analysis Procedures." Applied Sciences 10, no. 16 (August 9, 2020): 5509. http://dx.doi.org/10.3390/app10165509.

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This article presents the findings of a study on assessment of the increase in building’s response due to accidental torsion when subjected to seismic forces. Critical stiffness and geometrical parameters that define buildings torsional response are examined including: (1) the ratio, Ω, between uncoupled torsional frequency ωθ to uncoupled translation frequencies in the direction of ground motion ωx or ωy, (2) floor plan aspect ratio, b/r, which is a function of the floor dimension and radius of gyration. The increased response is assessed on symmetric multi-storey buildings using both static and dynamic analysis methods specified by ASCE-7 and considering parameters affecting the torsional response. It was concluded that static and dynamic analysis procedures predict different accidental torsion responses. Static analysis based on the Equivalent Lateral Force (ELF) method predicts more conservative accidental torsions responses for flexible structures with Ω < 0.7~0.80, while the responses are less conservative for stiffer buildings. The conservativism in static analysis method is attributed to the response amplification factor, Ax. Floor plans and their lateral support system having frequency ratio Ω = 1 will also have a torsional radius equal to radius of gyration, and will experience drop in torsional response relative to more torsionally flexible buildings. This article presents a procedure to overcome the shortcomings of static and dynamic analysis procedures in terms of estimating accidental torsion response of symmetric building structures.
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Li, Xin, and Li Liang. "Experimental and Numerical Study on Torsional Behavior of Precast Concrete Screw Pile Body." Applied Mechanics and Materials 188 (June 2012): 137–43. http://dx.doi.org/10.4028/www.scientific.net/amm.188.137.

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Precast concrete screw pile is a new kind of pile foundation. Because the pile bears very large torsion in construction, the torsional properties of pile body including cracking torsion, ultimate torsion and torsional deformation were studied in this paper in order to improve the anti-torsional ability of precast concrete screw pile. Experimental method and numerical method are used to research the torsional behavior of precast concrete pile body. Experimental and numerical results of cracking torsion, ultimate torsion and relationship between torsion and angle of twist per unit length of different specimens are obtained. In addition, five factors of strength level of concrete, degree of prestress, distance of spiral hoop, concrete cover and diameter of spiral hoop influencing on torsional behavior of precast concrete pile body are researched by orthogonal numerical test. The rational finite element model and solution method are concluded for calculating the torsional behavior of concrete pile. Moreover, the rational pile type and design parameters of precast concrete screw pile are obtained.
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Nguyen, Thai Son, Ted Stathopoulos, and Lucia Tirca. "Wind-induced shear and torsion in low-rise and medium-rise buildings: Provisions of National Building Code of Canada 2015." Canadian Journal of Civil Engineering 45, no. 5 (May 2018): 339–50. http://dx.doi.org/10.1139/cjce-2017-0107.

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This paper discusses the shear and torsion induced in low-rise and medium-rise buildings, according to wind load specifications provided in NBCC 2015. Results from experimental studies, carried out in wind tunnels were compared with corresponding NBCC 2015 provisions under different upstream roughness conditions. These comparisons demonstrated notable discrepancies for the case of torsion in low-rise buildings. Further, comparisons between the wind load specifications given in NBCC 2015 and ASCE/SEI 7-10 standard were carried out. Following both sets of provisions, wind-induced shear and torsion were computed and compared for five low-rise and medium-rise buildings with the same horizontal dimensions but different heights. Emphasis was directed towards the cases that create maximum shear forces and (or) maximum torsions to reflect critical design conditions. For low-rise buildings, the ASCE/SEI-7-10 and NBCC-2015 yield similar shear coefficients but quite different torsional coefficients; while for medium-rise buildings, clear agreement was found, for both shear and torsion. The diversity of the results is discussed and some suggestions for improvement of code provisions are made. A definition for medium-rise buildings was provided.
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Pan, Wen-Hao, Chuan-Hao Zhao, Yuan Tian, and Kai-Qi Lin. "Exact Solutions for Torsion and Warping of Axial-Loaded Beam-Columns Based on Matrix Stiffness Method." Nanomaterials 12, no. 3 (February 4, 2022): 538. http://dx.doi.org/10.3390/nano12030538.

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The typically-used element torsional stiffness GJ/L (where G is the shear modulus, J the St. Venant torsion constant, and L the element length) may severely underestimate the torsional stiffness of thin-walled nanostructural members, due to neglecting element warping deformations. In order to investigate the exact element torsional stiffness considering warping deformations, this paper presents a matrix stiffness method for the torsion and warping analysis of beam-columns. The equilibrium analysis of an axial-loaded torsion member is conducted, and the torsion-warping problem is solved based on a general solution of the established governing differential equation for the angle of twist. A dimensionless factor is defined to consider the effect of axial force and St. Venant torsion. The exact element stiffness matrix governing the relationship between the element-end torsion/warping deformations (angle and rate of twist) and the corresponding stress resultants (torque and bimoment) is derived based on a matrix formulation. Based on the matrix stiffness method, the exact element torsional stiffness considering the interaction of torsion and warping is derived for three typical element-end warping conditions. Then, the exact element second-order stiffness matrix of three-dimensional beam-columns is further assembled. Some classical torsion-warping problems are analyzed to demonstrate the established matrix stiffness method.
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Shen, Kongjian, Shui Wan, YL Mo, and Xiayuan Li. "A softened membrane model for prestressed concrete composite box girders with corrugated steel webs under pure torsion." Advances in Structural Engineering 22, no. 2 (August 3, 2018): 384–401. http://dx.doi.org/10.1177/1369433218788597.

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Torsion can be regarded as a principal factor in some cases, such as in curved girders and eccentrically loaded girders, when conducting the structural analysis of prestressed concrete composite box girders with corrugated steel webs. Recently, a rational model, called the softened membrane model for torsion, was proposed for the torsional analysis of reinforced concrete members; thereafter, this model was extended to prestressed concrete members under pure torsion and called softened membrane model for torsion prestressed concrete. This article presents a modified model, the softened membrane model for torsion prestressed concrete for prestressed concrete composite box girders with corrugated steel webs, to analyze full torsional behavior. To build the model, the softened membrane model for torsion in reinforced concrete members is first extended to perform the torsional analysis of prestressed concrete composite box girders with corrugated steel webs by incorporating the torsional contribution of corrugated steel webs. Afterward, the initial stresses and strains due to prestressing are considered to extend the softened membrane model for torsion to softened membrane model for torsion prestressed concrete for prestressed concrete composite box girders with corrugated steel webs by modifying the equilibrium equations, convergence criteria, and constitutive laws of materials. The modified model is validated by experimental data and is proven to be capable of predicting the overall torque–twist curve, especially the precracked branch and postcracked ascending branch. In addition, a comparison between the softened membrane model for torsion and softened membrane model for torsion prestressed concrete indicates that the torque values before and after concrete cracking will be overestimated and underestimated, respectively, without considering the effect of the initial stresses and strains. Finally, another comparison shows that the softened membrane model for torsion prestressed concrete is superior to the rotating-angle truss model for torsion in its ability to predict the precracked branch of the torque–twist curve.
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Gao, Hua Bin, and Yong Sheng Zhang. "Determination of Torsional Mode and Analysis of Torsional Resistance." Applied Mechanics and Materials 204-208 (October 2012): 1242–46. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.1242.

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At present, structural designers have many different views on determination of torsional mode. This paper adopts the structural mode factor and the mass participation factor method to determine structure torsional mode. Use the shear correction to simplify the calculation of structure torsion, derivate the relevant formulas of torsional effect, it has guide significance for manual calculation of structural torsion; Analysis of structural torsion resistant measures finally.
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Qi, Zhiqiang, Cheng Zhang, Liang Qiao, Jian Qin, and Shunling Wang. "The Test Study on Tension-torsion Coupling Effect of ACSR in Overhead Transmission Lines." Journal of Physics: Conference Series 2731, no. 1 (March 1, 2024): 012027. http://dx.doi.org/10.1088/1742-6596/2731/1/012027.

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Abstract In order to analyze the relationship between the tensile and torsional characteristics of the Aluminum Conductor Steel Reinforced (ACSR), test research on the coupling effect of tension and torsion in conductors was carried out. A conductor tension-torsion coupling test device was designed, and selected the JL/G1A-630/45-45/7 ACSR as sample which is commonly used in ultra-high voltage AC engineering. The relationship between conductor tension, torque, and tensile strain, torsional strain was measured. And obtain the stiffness coefficients of conductor tension, torsion, and tension-torsion coupling. The testing results show that the tension and torque of the conductor gradually change from non-linear to linear under the action of tension or torsion deformation; The torsional stiffness Kφφ and tension-torsion coupling stiffness Kεφ when the conductor is turned to the right are greater than the corresponding stiffness when it is turned to the left.
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Humar, J. L., and P. Kumar. "Torsional motion of buildings during earthquakes. II. Inelastic response." Canadian Journal of Civil Engineering 25, no. 5 (October 1, 1998): 917–34. http://dx.doi.org/10.1139/l98-032.

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In a previous study on the elastic torsional response of building models subjected to earthquake motion, it was shown that the current provisions of the National Building Code of Canada for design against torsion induced by earthquakes are quite conservative for the flexible edge of the building, but may be inadequate for the stiff edge. Based on the results of studies on the elastic response, a new set of design provisions was suggested. The present study deals with the inelastic torsional response of single- and multi-storey buildings designed according to the suggested provisions. Effects of both the natural and the accidental torsion are considered. It is shown that, given the complexity of inelastic response, particularly that of multistorey buildings, the suggested provisions can reasonably be used for the torsion design of single-storey buildings, as well as of multistorey buildings that are asymmetric in plan, but otherwise fairly regular.Key words: earthquake response, natural torsion, accidental torsion, inelastic torsional response, design for torsion.
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Jeong, Byeong-Woo. "Transitional Failure of Carbon Nanotube Systems under a Combination of Tension and Torsion." Journal of Nanomaterials 2012 (2012): 1–6. http://dx.doi.org/10.1155/2012/847307.

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Transitional failure envelopes of single- and double-walled carbon nanotubes under combined tension-torsion are predicted using classical molecular dynamics simulations. The observations reveal that while the tensile failure load decreases with combined torsion, the torsional buckling moment increases with combined tension. As a result, the failure envelopes under combined tension-torsion are definitely different from those under pure tension or torsion. In such combined loading, there is a multitude of failure modes (tensile failure and torsional buckling), and the failure consequently exhibits the feature of transitional failure envelopes. In addition, the safe region of double-walled carbon nanotubes is significantly larger than that of single-walled carbon nanotubes due to the differences in the onset of torsional buckling.
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Dissertations / Theses on the topic "Torsion"

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KOEHLER, KAI. "Torsion analytique complexe." Paris 11, 1993. http://www.theses.fr/1993PA112158.

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Dans cette these, on etudie plusieurs aspects de la torsion complexe de ray-singer et de ses generalisations. Cette torsion est un nombre reel associe a un fibre vectoriel hermitien holomorphe sur une variete complexe compacte munie d'une metrique hermitienne. Elle est un determinant generalise du laplacien de hodge-kodaira. La premiere partie traite des formes de torsion analytique superieures. On montre que ces formes permettent de construire un morphisme d'image directe dans le k-theorie arithmetique de gillet et soule. La deuxieme partie porte sur une generalisation equivariante de la torsion pour les varietes munies d'une action d'un groupe. On calcule cette torsion equivariante pour le fibre trivial sur les espaces projectifs complexes. Dans la troisieme partie, on definit les formes de torsion pour des fibres en tores, qui ne definissent pas necessairement des submersions kahleriennes. On les calcule explicitement et on determine certaines proprietes de ces formes
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Volkin, Ronald S. "Estimation of rotor blade torsional deformations from measured blade torsion moments." Thesis, Monterey, California. Naval Postgraduate School, 2002. http://hdl.handle.net/10945/6003.

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The strain pattern analysis (SPA) method is applied to estimate rotor blade torsional deflections. The SPA technique requires calculated mode shapes for the tested rotor blade and strain measurements from the rotor's wind tunnel or flight test. The Holzer method is developed to calculate the required mode shapes from rotor blade stiffness and mass properties and the torsional equation of motion. The Holzer method is tested with numerous theoretical and experimental cases and is proven accurate. The strain measurements are from wind tunnel tests conducted by the Army, NASA, United Technologies Research Center (UTRC) and Sikorsky at DNW with a (1:5.73) model-scale UH-60A rotor blade with an advance ratio of 0.301, an advancing tip Mach number of 0.8224 and an average Reynolds number of 1,278,729. The SPA method predicts slightly larger torsional deflections that compare well with the overall trend and range of UTRC static method integrated deflections. The SPA method was evaluated to determine the tolerance to change in the number of measurements and the modes applied, errors in the measurements, and errors in rotor blade stiffness and mass properties. The method is tolerant to all effects except a decrease in the number of measurements and modes.
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Charalambides, Stelios, and n/a. "Topics in torsion theory." University of Otago. Department of Mathematics & Statistics, 2006. http://adt.otago.ac.nz./public/adt-NZDU20070216.161043.

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The purpose of this thesis is to generalize to the torsion-theoretic setting various concepts and results from the theory of rings and modules. In order to accomplish this we begin with some preliminaries which introduce the main ideas used in torsion theory, the major ones being [tau]-torsion and [tau]-torsionfree modules as well as [tau]-dense and [tau]-pure submodules. In the first chapter we also introduce a new concept, that of a [tau]-compact module, which is basic enough to deserve a place among the preliminaries. The results that we obtain fall into three areas which are to a certain degree interrelated. The first area is on [tau]-Max modules, which we introduce as a torsion-theoretic analogue of Max modules. The main aim is to generalize a well-known result by Shock which characterizes Noetherian rings by using the socle, the radical and Max modules. All of these concepts have torsion-theoretic counterparts which we utilize in our generalization. Furthermore, we define and characterize left [tau]-Max rings and apply the torsion-theoretic version of Shock�s theorem to obtain a characterization of [tau]-short modules motivated by a recent article in which short modules were introduced. The second area deals with various flavours of [tau]-injectivity, some known and some new. We introduce [tau]-M-injective and s-[tau]-M-injective modules and examine their relationship with the known concepts of [tau]-injective and [tau]-quasi-injective modules. We then provide an improved version of the Generalized Fuchs Criterion which characterizes s-[tau]-M-injective modules, and give a generalization of Azumaya�s Lemma. We also prove that every M-generated module has a [tau]-M-injective hull which is unique up to isomorphism and show how this is linked to the [tau]-quasi-injective hull. We then examine [Sigma]-[tau]-injectivity, generalizing well-known results by Faith, Albu and Năstăsescu and Cailleau which provide necessary and sufficient conditions for the [Sigma]-[tau]-injective property, the [Sigma]-s-[tau]-M-injective property and for a direct sum of [Sigma]-s-[tau]-M-injective modules to be [Sigma]-s-[tau]-M-injective. In the third area we introduce a couple of new concepts with the aim of bringing to the torsion-theoretic setting the concept of a CS or extending module. The approach is twofold. The first is via [tau]-CS modules which serve as a generalization of CS modules as well as [tau]-quasi-continuous, [tau]-quasi-injective and [tau]-injective modules, and the second is via s-[tau]-CS modules which are a special case of CS modules. Our motivation is to provide a torsion-theoretic analogue of a well-known result by Okado which characterizes Noetherian modules. We have some partial results using s-[tau]-CS modules and a nice torsion-theoretic analogue, albeit without the use of [tau]-CS or s-[tau]-CS modules. We also examine the relationship between our relative versions of CS modules with those of other authors and obtain refinements to some of their results.
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Briginshaw, James Andrew. "Conical singularities with torsion." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.625050.

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Burnett, J. "Coframes, spinors and torsion." Thesis, University College London (University of London), 2011. http://discovery.ucl.ac.uk/1335617/.

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This thesis is based on five articles, four of which have been published in the Journal of Mathematical Physics, Physical Review D, Modern Physics Letters A and Journal of High Energy Physics. The fifth has been submitted to Mathematika. In these works we study several distinct problems within the broad subject area of Mathematical Physics. The common feature is that all these works deal with rotations of one form or another. In particular, we show an equivalence between the massless and massive Dirac equations and models based on the concept of rotating material points. We also solve an open problem in Einstein-Cartan theory, namely, we find a natural matter source for a non-trivial spin angular momentum tensor. Finally, we construct a complete class of non-standard (non-local) spinor field theories and examine their possible applications in Cosmology.
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Whiteley, Rodney John. "Humeral torsion and throwing." Thesis, The University of Sydney, 2009. https://hdl.handle.net/2123/28206.

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This thesis is concerned with the act of throwing, and particularly with a variation of a skeletal feature — humeral retrotorsion — which has been shown to be associated with high level throwing. In the introductory chapters 1 to 3, the importance of throwing is established, followed by a description of humeral torsion, and an account of the development of humeral torsion. It is noted that there is a lack of consistency in the description and measurement of humeral torsion, along with some technical and practical difficulties in the currentlyemployed methods of its quantification. In the chapter 4 the rationale for an alternate method of measuring humeral torsion using the relation between the bicipital groove and the orientation of the humeral head is proposed. In the first of a series of experiments, the inter-rater reliability of two methods of measuring humeral torsion both of which involve standardising the position of the deepest portion of the bicipital groove and measuring the inclination of the ulna are explored. In the first method direct palpation of the bicipital groove is employed, and this is compared to ultrasound-assisted visualisation. Excellent inter-rater reliability is demonstrated for the ultrasound-assisted method in the dominant and non-dominant arms of 16 non-athletic adult subjects (ICC2_1=0.98, and 0.94) while the reliability of the palpation method was seen to be poor (ICC2,1=0.51 and 0.49). For the remainder of the experiments, the ultrasound-assisted method of visualisation was employed to measure humeral torsion. The next experiment investigated the side-to-side difference in humeral torsion in a group of throwing athletes (85 adult males, 16 adult females, 35 adolescent males, and 37 adolescent females), swimmers (l9 adolescent females, and 10 adolescent males), and 16 non-athletic adults. Greater dominant arm retrotorsion (11.90 :I: 105°) was displayed in the arms of the throwers irrespective of age or gender. The swimmers showed a lesser inclination toward increased dominant arm retrotorsion (6.4° d: 9.9°), and the non-athletic adults showed no detectable sidedness effect (13° :|: 89°). A wide range of between-subject variation was displayed in this data, with values for the throwing athletes varying from a maximum of 38° greater dominant arm retrotorsion to 18° greater dominant arm antetorsion. In the following experiment, the relation between humeral torsion and obtained proprioception was examined in 16 high-level adolescent male baseball players. In the non-dominant arm, a strong (F088) and significant (p<0.001) relationship was established with increasing retrotorsion being correlated with better proprioceptive acuity. In the non-dominant arm the relationship was weaker (0.41) and did not reach significance (p=0.120). It is hypothesised that the described relation for the non-dominant arm is suggestive of an underlying physiological effect that is masked by prodromal injury to the proprioceptive systems in the dominant arm.
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Ferreira, Ana Cristina Castro. "Riemannian geometry with skew torsion." Thesis, University of Oxford, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.526550.

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Hassell, Andrew. "Analytic surgery and analytic torsion." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/32611.

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Nyirenda, Darlison. "Torsion points on elliptic curves." Thesis, Stellenbosch : Stellenbosch University, 2013. http://hdl.handle.net/10019.1/80120.

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Thesis (MSc)--Stellenbosch University, 2013.
ENGLISH ABSTRACT: The central objective of our study focuses on torsion points on elliptic curves. The case of elliptic curves over finite fields is explored up to giving explicit formulae for the cardinality of the set of points on such curves. For finitely generated fields of characteristic zero, a presentation and discussion of some known results is made. Some applications of elliptic curves are provided. In one particular case of applications, we implement an integer factorization algorithm in a computer algebra system SAGE based on Lenstra’s elliptic curve factorisation method.
AFRIKAANSE OPSOMMING: Die hoofdoel van ons studie is torsiepunte op elliptiese krommes. Ons ondersoek die geval van elliptiese krommes oor ‘n eindige liggaam met die doel om eksplisiete formules vir die aantal punte op sulke krommes te gee. Vir ‘n eindig-voortgebringde liggaam met karakteristiek nul bespreek ons sekere bekende resultate. Sommige toepassings van elliptiese krommes word gegee. In een van hierdie toepassings implementeer ons ‘n heeltallige faktoriseringalgoritme in die rekenaar-algebrastelsel SAGE gebaseer op Lenstra se elliptiese krommefaktoriseeringmetode.
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Krantz, Thomas. "Holonomie des connexions sans torsion." Nancy 1, 2007. http://docnum.univ-lorraine.fr/public/SCD_T_2007_0030_KRANTZ.pdf.

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Dans une premier temps nous étudions les représentations de dimension finie des algèbres de Lie en rapport avec le treillis des sous-représentations. Nous considérons le cas où la représentation laisse invariant deux paires de sous-espaces supplémentaires. Nous montrons que la représentation peut être décomposée dans ce cas en une somme de trois sous-représentations canoniques que nous caractérisons. Nous précisons les résultats dans le cas d'une représentation préservant deux sous-espaces supplémentaires et une forme réflexive, et aussi dans le cas métrique. Dans une deuxième partie géométrique nous appliquons les résultats précédents à l'étude des représentations d'holonomie d'une variété munie d'une connexion sans torsion ou en particulier réflexive ou pseudo-Riemannienne. Enfin nous examinons de plus près les représentations de type ‘ somme directe de V et V dual ‘, respectivement ‘V tenseur la représentation triviale de dimension 2’ , qui apparaissent dans le cadre de cette étude, et nous caractérisons les connexions sans torsion admettant une telle représentation d'holonomie
We study the finite-dimensional Lie algebra representations in connection with their lattice of subrepresentations. We consider the case where the representation admits two pairs of supplementary invariant subspaces. We show that in this case the representation admits a canonical decomposition in three subrepresentations with well defined caracteristics. We strengthen the results for the situation where the representation admits a pair of supplementary invariant subspaces and an invariant reflexive form, respectively an invariant metric. In the geometric part we apply the preceding results to the study of the holonomy representations of a manifold equipped with a torsion-free connection or in particular a pseudo-Riemannian manifold. Finally we have a closer look at representations of type ‘direct sum of V and V dual’ or ‘V tensor the trivial representation of dimension 2’, which appear in this context, and we caracterize the torsion-free connections admitting a holonomy representation of this kind
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Books on the topic "Torsion"

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Fitzenreiter, Wilfried. Wilfried Fitzenreiter: Torso und Torsion. Münster: Grau-Verlag, 2011.

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Bland, Paul E. Topics in torsion theory. Berlin, F.R.G: Wiley-VCH, 1998.

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Call, Frederick W. Torsion theoretic algebraic geometry. Kingston, Ont. Canada: Queen's University, 1989.

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Rajagopalan, Krishnaiyengar. Torsion of Thin Walled Structures. Singapore: Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-7458-7.

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Teßmer, Pascal. Äquivariante Torsion auf Kontakt-Mannigfaltigkeiten. Wiesbaden: Springer Fachmedien Wiesbaden, 2017. http://dx.doi.org/10.1007/978-3-658-17794-2.

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Calegari, Frank. A torsion Jacquet-Langlands correspondence. Paris: Société Mathématique de France, 2019.

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Lott, John. Diffeomorphisms and noncommutative analytic torsion. Providence, RI: American Mathematical Society, 1999.

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Brandal, Willy. Torsion theories over commutative rings. Moscow, Idaho: BCS Associates, 1996.

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Jerzy, Jezierski, ed. Nielsen theory and reidemeister torsion. Warszawa: Institute of Mathematics, Polish Academy of Sciences, 1999.

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C, Sivaram, ed. Spin and torsion in gravitation. Singapore: World Scientific, 1994.

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Book chapters on the topic "Torsion"

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Shu, Xin, Guohua Li, and Jun Dong. "Hamiltonian-Jacobi Equation for Torsional Problems of Corrugated Steel Web Box Girders." In Lecture Notes in Civil Engineering, 714–19. Singapore: Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-4355-1_71.

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AbstractDue to the use of corrugated steel plate in the web, the torsional performance of the beam body will be weakened to a certain extent. In this paper, the Hamiltonian-Jacobian equation is used to analyze the torsion of the corrugated steel web composite box girder. The Lagrangian function of the system is obtained by taking the warping function and the relative torsion angle of the cross-section as the two generalized coordinates, and the Hamiltonian-Jacobian equation for the torsion problem is established by using the regular transformation. The accuracy of the proposed method is verified by comparing the obtained results with the literature values, and the fact that the torsional performance of the beam is weakened by using corrugated steel plate is verified by using the results of this paper.
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Gross, Dietmar, Wolfgang Ehlers, and Peter Wriggers. "Torsion." In Formeln und Aufgaben zur Technischen Mechanik 2, 109–38. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03088-8_4.

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Dankert, Helga, and Jürgen Dankert. "Torsion." In Technische Mechanik, 343–67. Wiesbaden: Vieweg+Teubner Verlag, 1995. http://dx.doi.org/10.1007/978-3-322-94111-4_21.

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Lubliner, Jacob, and Panayiotis Papadopoulos. "Torsion." In Introduction to Solid Mechanics, 313–43. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6768-7_7.

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Dankert, Jürgen, and Helga Dankert. "Torsion." In Technische Mechanik, 361–84. Wiesbaden: Vieweg+Teubner, 2011. http://dx.doi.org/10.1007/978-3-8348-9840-1_21.

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Gere, James M., and Stephen P. Timoshenko. "Torsion." In Mechanics of Materials, 158–219. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3124-5_3.

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Gross, Dietmar, Werner Hauger, Walter Schnell, Jörg Schröder, and Wolfgang A. Wall. "Torsion." In Technische Mechanik 2, 175–205. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19984-4_6.

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Zilch, K., and Gerhard Zehetmaier. "Torsion." In Bemessung im konstruktiven Betonbau, 295–311. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-70638-0_8.

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Gross, Dietmar, Werner Hauger, Jörg Schröder, and Wolfgang A. Wall. "Torsion." In Technische Mechanik 2, 175–205. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-40966-0_5.

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Gross, Dietmar, Wolfgang Ehlers, Peter Wriggers, Jörg Schröder, and Ralf Müller. "Torsion." In Formeln und Aufgaben zur Technischen Mechanik 2, 111–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-40985-1_4.

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Conference papers on the topic "Torsion"

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McDonald, Sean, Hadi Suroor, Jim Malachowski, Qi Wang, and Xinhai Qi. "Analysis of Subsea Foundations Subjected to Significant Torsion." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-24192.

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The interest in the adequacy of shallow foundations to withstand the forces in the subsea realm is growing. Subsea structures such as PLETs and PLEMs often experience significant torsion loads in addition to vertical, horizontal and moment loads which are typically supported by shallow foundations. In this paper, the interactions between torsional and sliding loads for shallow foundations on sand were evaluated using available analytical methods as well as by a comprehensive 3-dimensional finite element analysis (FEA). The calculated pure sliding and pure torsional resistances of un-skirted mudmat calculated by simple analytical method compared well with FEA results. There appears to be a lack of analytical methods to include torsional resistance generated by skirts. It was evident from FEA that even shallow mudmat skirts can contribute significant torsional resistances. The FEA results indicate that torsional load on foundation can significantly reduce pure sliding resistance, and the foundation design should consider sliding (H) – torsion (T) interaction, particularly when significant torsion load is present. Finally, a case history is presented involving existing shallow foundations that were deemed inadequate to support the new torsional and sliding forces. Additional clump weights required to improve overall foundation stability were determined considering H-T interactions. A comprehensive ABAQUS model of an existing PLEM foundation under combined uplift, compression, sliding forces, torsion and bending moments was analyzed to confirm the improvement in foundation stability.
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CAPOZZIELLO, S., V. F. CARDONE, S. CARLONI, and A. TROISI. "TORSION Λ TERM." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702999_0039.

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AROS, RODRIGO. "TORSION INDUCES GRAVITY." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0141.

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Fujiwara, Hiroyuki, Tadashi Tsuji, and Osami Matsushita. "Vibration of Bending-Torsion Coupled Resonance in a Rotor." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12778.

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In certain rotor systems, bending-torsion coupled resonance occurs when the rotational speed Ω (= 2π Ωrps) is equal to the sum/difference of the bending natural frequency ωb (= 2π fb) and torsional natural frequency ωθ(= 2πfθ). This coupling effect is due to an unbalance in the rotor. In order to clarify this phenomenon, an equation was derived for the motion of the bending-torsion coupled 2 DOF system, and this coupled resonance was verified by numerical simulations. In stability analyses of an undamped model, unstable rotational speed ranges were found to exist at about Ωrps = fb + fθ. The conditions for stability were also derived from an analysis of a damped model. In rotational simulations, bending-torsion coupled resonance vibration was found to occur at Ωrps = fb − fθ and fb + fθ. In addition, confirmation of this resonance phenomenon was shown by an experiment. When the rotor was excited in the horizontal direction at bending natural frequency, large torsional vibration appeared. On the other hand, when the rotor was excited by torsion at torsional natural frequency, large bending vibration appeared. Therefore, bending-torsion coupled resonance was confirmed.
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Bothwell, Christopher, Ramesh Chandra, and Inderjit Chopra. "Torsional actuation with extension-torsion composite coupling and magnetostrictive actuators." In Adaptive Structures Forum. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-1760.

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Merino, He´ctor E. M., Jose´ Renato M. de Sousa, Carlos Magluta, and Ney Roitman. "Numerical and Experimental Study of a Flexible Pipe Under Torsion." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20902.

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The torsional behavior of a 4″ flexible pipe is here studied. The pipe was subjected to clockwise and anticlockwise torsion and also to torsion combined with tension. For pure torsion, two different boundary conditions were considered: ends free to elongate and prevented from elongating. When tensional and torsional loads are imposed to the pipe, only analyses with ends prevented from elongating are carried out. In all cases, the response of the pipe is predicted with a three-dimensional nonlinear finite element (FE) model and with a classical analytical model. Experimental tests performed at COPPE/UFRJ are also employed to validate the theoretical estimations. The obtained results point out that the pipe is torque balanced for clockwise torsion, but it is not balanced for anti-clockwise torsion. Moreover, analytical models for axissymetric analyses assume that the layers of a flexible pipe are subjected to the same twist and elongation, but the FE results state that this hypothesis holds only for anti-clockwise torsion. Therefore, some differences were found between the FE and analytical models mainly when clockwise torsion is considered. Finally, due to its ability to deal with friction and adhesion between layers, the FE estimations agreed quite well with the experimental measures.
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Ouyang, Zhenyu, Wei Xu, Gefu Ji, Guoqiang Li, H. Dwayne Jerro, and Su-Seng Pang. "Nonlinear Model of Torsional Fracture in Adhesive Pipe Joints." In ASME 2010 Pressure Vessels and Piping Division/K-PVP Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/pvp2010-25717.

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Adhesively bonded pipe joints are extensively used in pipelines. In the present work, Cohesive Zone Model (CZM) based analytical solutions are derived for the bonded pipe joints under torsional loading. A general expression of interfacial fracture resistance for adhesive pipe joints is derived which is suitable for arbitrary type of nonlinear interfacial laws under torsional loading. It is found that, when the bond length of the pipe joint is sufficiently long, the torsion load capacity is indeed independent of the shape of cohesive laws and the bond length. It is interesting to note that the maximum torsion load capacity is achieved when the torsion stiffness of the pipe and coupler are identical. A good agreement with the previous finite element analysis (FEA) result indicates that the current model works well. This model deepens the understanding of the interfacial debonding problem of bonded joints under torsional loading. The fracture energy based formulas of the torsion load capacity derived in the present work can be directly used in the design of adhesively bonded pipe joints.
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RUSSELL, NEIL. "LORENTZ VIOLATION AND TORSION." In Proceedings of the Fourth Meeting. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812779519_0044.

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Colladay, D. "Lorentz Violation from Torsion." In Ninth Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2023. http://dx.doi.org/10.1142/9789811275388_0025.

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Sitarz, Andrzej, and Flavio Mercati. "Noncommutative Geometry with Torsion." In Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity. Trieste, Italy: Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.127.0030.

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Reports on the topic "Torsion"

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Zund, J. D. Differential Geodesy of the Eotvos Torsion Balance. Fort Belvoir, VA: Defense Technical Information Center, April 1989. http://dx.doi.org/10.21236/ada208711.

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Yazdani, Nur, and Jennifer Ach. Behavior of Thin Precast Spandrels in Torsion. Precast/Prestressed Concrete Institute, 2000. http://dx.doi.org/10.15554/pci.rr.comp-020.

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Azam, Aishah, Paul S. Sidhu, and Simon Freeman. Point-of-care ultrasound for testicular torsion. BJUI Knowledge, December 2022. http://dx.doi.org/10.18591/bjuik.0761.

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López-Martínez, Samuel Isaí, Jesús Gerardo Sánchez-Valadez, María Andrea Tijerina-Torres, Rodrigo Melendez-Coral, and Javier Jesús Onofre-Castillo. Ultrasonographic Diagnosis of Left-sided Ovarian Torsion in a Twin Pregnancy at 24 weeks: A Case-Report. Science Repository, November 2022. http://dx.doi.org/10.31487/j.crogr.2022.02.01.

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We describe a case report of ovarian torsion in a Korean-speaking woman with a 24-week twin pregnancy who attended a Spanish- and English-speaking institution. Ovarian torsion represents a diagnostic challenge for clinicians and radiologists because of its lack of pathognomonic symptoms and imaging findings. Ultrasonography may show unilateral ovarian enlargement without color Doppler flow and free fluid; however, clinical data should be mandatory for management decisions.
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Canfora, Fabrizio. Some Solutions with Torsion in Chern-Simons Gravity and Observable Effects. GIQ, 2012. http://dx.doi.org/10.7546/giq-10-2009-143-157.

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Canfora, Fabrizio. Some Solutions with Torsion in Chern-Simons Gravity and Observable Effects. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-13-2009-9-24.

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Lini, Carlo R., and Julio A. Ramirez. On the Design for Torsion of Precast/Prestressed Concrete Spandrel Girders. Precast/Prestressed Concrete Institute, 2004. http://dx.doi.org/10.15554/pci.rr.comp-014.

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House, William. Fuzzy Logic as a Tool to Compare Reliability of Torsion Bar System. Fort Belvoir, VA: Defense Technical Information Center, December 2009. http://dx.doi.org/10.21236/ada513266.

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Burns, Timothy J. A mechanism for shear band formation in the high strain rate torsion test. Gaithersburg, MD: National Institute of Standards and Technology, 1989. http://dx.doi.org/10.6028/nist.ir.89-4121.

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Velikov, Toni, Elena Kinova, Bozhidar Krastev, Emilia Stoyanova, Tsvetelina Velikova, and Assen Goudev. Left Ventricular Function Assessed by Myocardial Deformation and Torsion in Chronic Hemodialysis Patients. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, October 2020. http://dx.doi.org/10.7546/crabs.2020.10.16.

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