Academic literature on the topic 'Torsion constant'

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Journal articles on the topic "Torsion constant"

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MAHATO, PRASANTA. "GRAVITATIONAL CONSTANT AND TORSION." Modern Physics Letters A 17, no. 30 (September 28, 2002): 1991–98. http://dx.doi.org/10.1142/s0217732302008460.

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Riemann–Cartan space–time U4 is considered here. It has been shown that when we link topological Nieh–Yan density with the gravitational constant, we then obtain Einstein–Hilbert Lagrangian as a consequence.
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Ivey, Thomas A. "Minimal curves of constant torsion." Proceedings of the American Mathematical Society 128, no. 7 (March 2, 2000): 2095–103. http://dx.doi.org/10.1090/s0002-9939-00-05526-x.

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Mohazzabi, P., and B. M. Shefchik. "A universal relationship between spring constant and torsion constant." Journal of Physics and Chemistry of Solids 62, no. 4 (April 2001): 677–81. http://dx.doi.org/10.1016/s0022-3697(00)00205-5.

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Tweed, D., M. Fetter, D. Sievering, H. Misslisch, and E. Koenig. "Rotational kinematics of the human vestibuloocular reflex. II. Velocity steps." Journal of Neurophysiology 72, no. 5 (November 1, 1994): 2480–89. http://dx.doi.org/10.1152/jn.1994.72.5.2480.

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1. Gain matrices were used to quantify the three-dimensional vestibuloocular reflex (VOR) in five human subjects who were accelerated over 1 s and then spun at a constant 150 degrees/s for 29 s in darkness. Rotations were torsional, vertical and horizontal, about earth-vertical and earth-horizontal axes. 2. Elements on the main diagonal of the gain matrices were much smaller than the optimal value of -1, and torsional gain was weaker than vertical or horizontal. Off-diagonal elements, indicating cross talk, were minimal except for a small but consistent horizontal response to torsional head rotation. 3. Downward slow phases were more than twice as fast as upward at the start of rotation about both earth-vertical and earth-horizontal axes, but the asymmetry vanished later in the rotation. 4. During earth-vertical-axis rotation, all matrix elements decayed to zero. The main-diagonal torsional and vertical gains waned with time constants close to that of the cupula (6.7 and 7.3 s). Velocity storage prolonged the horizontal response to horizontal head rotation (time constant 14.2 s) but not the horizontal response to torsion (7.7 s). A simple explanation is that velocity storage acts on a central estimate of head motion that accurately distinguishes horizontal from torsional and that the inappropriate horizontal eye velocity response to torsion occurs because of cross talk downstream from velocity storage. 5. During earth-horizontal-axis rotation, the torsional, vertical, and horizontal main-diagonal elements declined, with time constants of 7.6, 8.2, and 7.9 s, to maintained nonzero values, all equal to about -0.1. Off-diagonal elements, including the horizontal response to torsion, decayed to zero, so that the otolith-driven reflex, late in the rotation, was equally strong in all dimensions and almost free of detectable cross talk. 6. The difference between gain curves over the course of earth-vertical- and earth-horizontal-axis rotations was not constant but increased with time, suggesting that the VOR response to earth-horizontal-axis rotation is not a simple sum of canal and otolith reflexes.
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Popławski, N. J. "Cosmological constant from quarks and torsion." Annalen der Physik 523, no. 4 (February 1, 2011): 291–95. http://dx.doi.org/10.1002/andp.201000162.

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Bates, Larry M., and O. Michael Melko. "On curves of constant torsion I." Journal of Geometry 104, no. 2 (July 20, 2013): 213–27. http://dx.doi.org/10.1007/s00022-013-0166-2.

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De Sabbata, Venzo, and C. Sivaram. "Torsion and the cosmological constant problem." Astrophysics and Space Science 165, no. 1 (March 1990): 51–55. http://dx.doi.org/10.1007/bf00653656.

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CALINI, ANNALISA, and THOMAS IVEY. "BÄCKLUND TRANSFORMATIONS AND KNOTS OF CONSTANT TORSION." Journal of Knot Theory and Its Ramifications 07, no. 06 (September 1998): 719–46. http://dx.doi.org/10.1142/s0218216598000383.

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The Bäcklund transformation for pseudospherical surfaces, which is equivalent to that of the sine-Gordon equation, can be restricted to give a transformation on space curves that preserves constant torsion. We study its effects on closed curves (in particular, elastic rods) that generate multiphase solutions for the vortex filament flow (also known as the Localized Induction Equation). In doing so, we obtain analytic constant-torsion representatives for a large number of knot types.
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SCHÜCKER, THOMAS, and ANDRÉ TILQUIN. "TORSION, AN ALTERNATIVE TO THE COSMOLOGICAL CONSTANT?" International Journal of Modern Physics D 21, no. 13 (December 2012): 1250089. http://dx.doi.org/10.1142/s0218271812500897.

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We confront Einstein–Cartan's theory with the Hubble diagram and obtain a negative answer to the question in the title. Contrary findings in the literature seem to stem from an error in the field equations.
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Saulnier, Michael S., and David Frisch. "Measurement of the gravitational constant without torsion." American Journal of Physics 57, no. 5 (May 1989): 417–20. http://dx.doi.org/10.1119/1.16013.

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Dissertations / Theses on the topic "Torsion constant"

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Panjwani, Hasnain. "Development of a torsion balance facility and a search for temporal variations in the Newtonian gravitational constant." Thesis, University of Birmingham, 2012. http://etheses.bham.ac.uk//id/eprint/3758/.

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The torsion balance is one of the key pieces of apparatus used in experimental searches for weak forces. In the search for an understanding of a Unified Theory, physicists have suggested a number of signatures that are detectable in laboratory measurements. This thesis describes the development of a new torsion balance facility, relocated from the BIPM (Bureau International des Poids et Mesures) [1], which has excellent environmental stability and benefits from a new compact interferometric readout for measuring angular motion which has been characterised and installed onto the torsion balance. The interferometer has sensitivities of 5 \( \times\) 10\( {-11}\) radians\(\char{cmti10}{0x2f}\)\(\sqrt{Hz}\) between 10\( {-1}\) Hz and 10 Hz, an angular range of over \(\pm\)1\( \circ\) and significantly reduces sensitivity to ground tilt. With the new facility the first experiment searching for temporal variations in the Newtonian gravitational constant has been undertaken with a null result for \( \delta\)\(\char{cmti10}{0x47}\)\(\char{cmti10}{0x2f}\)\(\char{cmti10}{0x47}\)\(_0\) for both sidereal and half sidereal signals at magnitudes greater than 5\( \times\)10\( {-6}\). These results have been used to set an upper limit on some of the parameters within the Standard Model Extension framework [2]. The thesis also reports on the design and manufacture of prototype test masses with a high electron-spin density of approximately 10\( {24}\) and negligible external magnetic field \( \leq\) 10\( {-4}\)\(\char{cmr10}{0x54}\). These test masses can be used within the facility to potentially make it sensitive enough to conduct future spin-coupling experiments.
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Svernlöv, Jonathan. "Torsion resistant chassis design for the Kalmar Cargotec empty container truck : A study to reduce swinging effect while handling elevated loads." Thesis, Karlstads universitet, Institutionen för ingenjörsvetenskap och fysik (from 2013), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-79024.

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Kalmar Cargotec is a company offering solutions for container and heavy industrial material handling. One of their products, EC-truck (empty container), lifts objects as heavy as 11 tonnes and sometimes as high as 16 meters vertically up in the air. Lifting very heavy objects high up in the air can cause the pulse to rise if unwanted movement is caused due to strong winds. This thesis was raised by Kalmar Cargotec, to study if the swinging effect of the elevated load could be reduced by increasing the torsional resistance of the truck chassis framework. The project work will be conducted at the engineering consultancy firm Citec AB in Karlstad, whom together with Kalmar Cargotec, offered the opportunity for this thesis. Concepts were generated for the chassis framework to find a new and improved design. The conceptual designs were compared both numerically, through the finite element analysis based program Mechanical, and analytically. The three best performing concepts were studied further with more variables accounted for where one was picked to be implemented in a large scale computational model. It was discovered that it is possible to reduce the swinging effect of the mast by replacing the current U-profiled beams in the chassis framework with hollow rectangular cross-sectional beams.
Kalmar Cargotec är ett företag som erbjuder lösningar till kontainer- och materialhantering i tungviktsindustrin. En av deras produkter, EC-trucken (empty container), lyfter föremål så tunga som 11 ton och ibland s˚a högt som 16 meter vertikalt upp i luften. Att lyfta så tunga föremål, så högt upp i luften kan väcka oro ifall föremålet börjar förflytta sig på grund av starka vindar. Den här masteruppsatsen presenterades av Kalmar Cargotec för att studera om svängningseffekten av det upphöjda föremålet kan reduceras genom att öka vridmotståndet i truckens chassi-ramverket. Projektet kommer att utföras på ingenjörsinriktade konsultfirman Citec AB i Karlstad, som genom Kalmar Cargotec, erbjöd möligheten för att utföra detta examensarbete. Koncept genererades på chassi-ramverket med syfte att hitta nya och förbättrade lösningar. De konceptuella utformningarna jämfördes både numeriskt, genom det finita element-baserade programmet Mechanical, och analytiskt. De tre koncept som presterade bäst valdes för vidare studier med fler variabler inräknade, där en till slut valdes för att implementeras i en större beräkningsmodell. Det visade sig vara möjligt att reducera den svängande effekten av stativet med lasten genom att byta ut de befintliga U-profil balkarna i chassi-ramverket mot balkar med rektangulärt ihåliga tvärsnitt.
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VOLF, AURELIAN. "Sur le comportement, par torsion, des constantes locales d'equations fonctionnelles de fonctions l." Paris 11, 1995. http://www.theses.fr/1995PA112383.

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Cette these est une investigation d'une conjecture enoncee par p. Deligne et g. Henniart dans l'article sur la variation, par torsion, des constantes locales d'equations fonctionnelles de fonctions l, inv. Math. 64 (1981), 88-118, qui se refere aux representations virtuelles du groupe de weil w d'un corps local. Cette conjecture donne une generalisation du fait que la constante locale du produit tensoriel des deux representations virtuelles, dont une est de dimension 0 et de determinant 1, et l'autre est tres ramifiee par rapport a la premiere, vaut 1. On prouve d'abord quelques resultats qui simplifient la preuve de cette conjecture: ainsi, on peut supposer que les representations impliquees sont galoisiennes (i. E. Se factorisent a travers un groupe fini) ; ce groupe peut meme etre suppose un p-groupe ; on peut considerer que la representation tres ramifiee est en fait un caractere, d'image finie. Ces resultats permettent de prouver la conjecture dans quelques cas simples. Ensuite on se restreint au cas ou toutes les representations se trouvent dans le premier ou deuxieme cran de la gamma-filtration de l'anneau des representations de w. Avec des estimations assez techniques des valuations qui interviennent, on prouve la validite de la conjecture dans deux cas non-triviaux. Une annexe contient une investigation du cas ou toutes les representations impliquees se factorisent a travers un seul groupe, isomorphe au groupe de heisenberg avec 27 elements. On trouve une forme explicite des elements du n-ieme cran de la gamma-filtration. A l'aide de celle-ci on montre que la preuve de la conjecture dans cette situation se reduit a un seul cas, impliquant une representation virtuelle du sixieme cran
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Ostrowski, Max [Verfasser], and Torsten [Akademischer Betreuer] Schaub. "Modern constraint answer set solving / Max Ostrowski ; Betreuer: Torsten Schaub." Potsdam : Universität Potsdam, 2018. http://d-nb.info/1218403357/34.

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Parkin, John D. "Microcantilevers : calibration of their spring constants and use as ultrasensitive probes of adsorbed mass." Thesis, University of St Andrews, 2013. http://hdl.handle.net/10023/3608.

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The dynamic properties of several rectangular and V-shaped microcantilevers were investigated. Particular attention was paid to the higher flexural eigenmodes of oscillation. The potential of the higher flexural modes was demonstrated through the use of cantilevers as standalone sensors for adsorbed mass. The mass adsorbed on the surface of a cantilever was in the form of a homogeneous water layer measured as a function of relative humidity. The minimum detectable water layer thicknesses were 13.7 Å, 3.2 Å, 1.1 Å, and 0.7 Å for the first four modes of a rectangular cantilever, clearly demonstrating enhanced accuracy for the higher eigenmodes of oscillation. These thicknesses correspond to minimum detectable masses of 33.5 pg, 7.8 pg, 2.7 pg and 1.7 pg for the first four modes. For quantitative applications the spring constants of each cantilever must be determined. Many methods exist but only a small number can calibrate the higher flexural eigenmodes. A method was developed to simultaneously calibrate all flexural modes of microcantilever sensors. The method was demonstrated for the first four eigenmodes of several rectangular and V-shaped cantilevers with nominal fundamental spring constants in the range of 0.03 to 1.75 N/m. The spring constants were determined with accuracies of 5-10 %. Spring constants of the fundamental mode were generally in agreement with those determined using the Sader method. The method is compatible with existing AFM systems. It relies on a flow of gas from a microchannel and as such poses no risk of damage to the cantilever beam, its tip, or any coating. A related method was developed for the torsional modes of oscillation. Preliminary results are shown for the fundamental mode of a rectangular cantilever. The method can be easily extended to the higher torsional modes, V-shaped cantilevers, and potentially, the flapping modes of the legs of V-shaped microcantilevers.
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Lindauer, T. Marius [Verfasser], Torsten [Akademischer Betreuer] Schaub, and Holger [Akademischer Betreuer] Hoos. "Algorithm selection, scheduling and configuration of Boolean constraint solvers / T. Marius Lindauer ; Torsten Schaub, Holger Hoos." Potsdam : Universität Potsdam, 2015. http://d-nb.info/1218398523/34.

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Lindauer, Marius [Verfasser], Torsten [Akademischer Betreuer] Schaub, and Holger [Akademischer Betreuer] Hoos. "Algorithm selection, scheduling and configuration of Boolean constraint solvers / T. Marius Lindauer ; Torsten Schaub, Holger Hoos." Potsdam : Universität Potsdam, 2015. http://d-nb.info/1218398523/34.

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Somani, Nikhil [Verfasser], Alois C. [Akademischer Betreuer] Knoll, Torsten [Gutachter] Kröger, and Alois C. [Gutachter] Knoll. "Constraint-based Approaches for Robotic Systems: from Computer Vision to Real-Time Robot Control / Nikhil Somani ; Gutachter: Torsten Kröger, Alois C. Knoll ; Betreuer: Alois C. Knoll." München : Universitätsbibliothek der TU München, 2018. http://d-nb.info/1172414947/34.

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"Torsional motion of a system of particles with graded couplings." 2006. http://library.cuhk.edu.hk/record=b5893052.

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Tsang Hing Wa = 梯度粒子系統的扭轉運動 / 曾慶華.
Thesis (M.Phil.)--Chinese University of Hong Kong, 2006.
Includes bibliographical references (leaves 66-68).
Text in English; abstracts in English and Chinese.
Tsang Hing Wa = Ti du li zi xi tong de niu zhuan yun dong / Zeng Qinghua.
Chapter 1 --- Introduction --- p.1
Chapter 1.1 --- Localization --- p.1
Chapter 1.1.1 --- Localization by Potential Confinement --- p.1
Chapter 1.1.2 --- Localization by Interference --- p.2
Chapter 1.2 --- Graded Materials --- p.2
Chapter 1.3 --- Rotational Motion --- p.3
Chapter 2 --- Torsional Motion of Rotating Particles with Graded Couplings
Chapter 2.1 --- Linear Couplings --- p.5
Chapter 2.1.1 --- Model and Formalism --- p.5
Chapter 2.1.2 --- Gradient in Coupling Constant --- p.7
Chapter 2.1.3 --- Gradient in Moment of Inertia --- p.8
Chapter 2.1.4 --- Numerical Results --- p.9
Chapter 2.1.5 --- Discussion and Conclusion --- p.14
Chapter 2.2 --- Non-Linear Couplings --- p.14
Chapter 2.2.1 --- Model and Formalism --- p.14
Chapter 2.2.2 --- Gradient in Coupling Constant --- p.16
Chapter 2.2.3 --- Gradient in Moment of Inertia --- p.16
Chapter 2.2.4 --- Numerical Results --- p.17
Chapter 2.2.5 --- Discussion and Conclusion --- p.29
Chapter 3 --- Torsional Motion of Rotating Particles with graded potential --- p.30
Chapter 3.1 --- Linear Interaction --- p.30
Chapter 3.1.1 --- Model and Formalism --- p.30
Chapter 3.1.2 --- Gradient in On-site Torsional Potential --- p.32
Chapter 3.1.3 --- Numerical Results --- p.33
Chapter 3.1.4 --- Discussion and Conclusion --- p.43
Chapter 3.2 --- Non-linear Interaction --- p.43
Chapter 3.2.1 --- Model and Formalism --- p.43
Chapter 3.2.2 --- Numerical Results --- p.45
Chapter 3.2.3 --- Chaotic Effect --- p.62
Chapter 3.2.4 --- Discussion and Conclusion --- p.64
Chapter 4 --- Conclusion --- p.65
Bibliography --- p.66
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Fahle, Torsten [Verfasser]. "Integrating concepts from constraint programming and operations research algorithms / von Torsten Fahle." 2002. http://d-nb.info/968544851/34.

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Books on the topic "Torsion constant"

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Atarod, Vida. Impact of synchronous machine constants and models on the analysis of torsional dynamics. Ottawa: National Library of Canada, 1992.

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Steigmann, David J. Some boundary-value problems for uniform isotropic incompressible materials. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198567783.003.0007.

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This chapter outlines the formulation and explicit solution of a number of simple boundary-value problems. Analysis is facilitated by the constraint of incompressibility. Examples include expansionand contraction of cylinders, torsion, azimuthal shear, and cavitation under conditions of spherical symmetry Further examples involving anti-plane shear are discussed in the Problems.
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Anders, Torsten. Compositions Created with Constraint Programming. Edited by Roger T. Dean and Alex McLean. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780190226992.013.5.

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This chapter surveys music constraint programming systems, and how composers have used them. The chapter motivates why and explains how users of such systems describe intended musical results with constraints. This approach to algorithmic composition is similar to the way declarative and modular compositional rules have successfully been used in music theory for centuries as a device to describe composition techniques. This systematic overview highlights the respective strengths of different approaches and systems from a composer’s point of view, complementing other more technical surveys of this field. This text describes the music constraint systems PMC, Score-PMC, PWMC (and its successor Cluster Engine), Strasheela, and Orchidée—most are libraries of the composition systems PWGL or OpenMusic. These systems are shown in action by discussions of the composition processes of specific works by Jacopo Baboni Schilingi, Magnus Lindberg, Örjan Sandred, Torsten Anders, Johannes Kretz, and Jonathan Harvey.
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Book chapters on the topic "Torsion constant"

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de Sabbata, Venzo, and C. Sivaram. "Torsion, Quantum Effects and the Problem of Cosmological Constant." In Gravitation and Modern Cosmology, 19–36. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-0620-5_4.

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Delobelle, P., D. Varchon, and C. Oytana. "A Biaxial Tension-Torsion, Constant Stress, Creep Testing Machine." In Techniques for Multiaxial Creep Testing, 93–101. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-3415-3_5.

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York, Jason R., John T. Foster, Erik E. Nishida, and Bo Song. "A Novel Torsional Kolsky Bar for Testing Materials at Constant-Shear-Strain Rates." In Dynamic Behavior of Materials, Volume 1, 301–5. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00771-7_36.

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Garrett, Steven L. "Modes of Bars." In Understanding Acoustics, 235–81. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44787-8_5.

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Abstract The perspectives and techniques developed in the previous chapters will now be applied to calculation of wave propagation in solids. Their application to longitudinal and shear waves will be both familiar and simple. Even more satisfying is the success of those same techniques in finding solutions for waves in a system that does not obey the wave equation and exhibit a phase speed that varies with frequency. Measurement of the frequencies of the normal modes of thin bars will be used to determine the bars’ elastic constants to high precision. The relationship between measured modal frequencies and the elastic moduli is particularly simple because the torsional, flexural, and longitudinal modes of bars can be selectively excited and detected. The technique of resonant ultrasound spectroscopy will allow the extraction of moduli from resonance frequencies even for samples with dimensions that are not as conducive as those of thin bars by a process that is significantly more computationally intensive. The flexural rigidity of wires under tension will be analyzed to determine the normal modes of a “stiff string,” and those effects will be discussed in relation to the tuning of pianos
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"THE TORSION COUPLING CONSTANT AND THE PROBLEM OF THE COSMOLOGICAL CONSTANT." In Spin and Torsion in Gravitation, 115–33. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789814327039_0006.

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"Curves with a Constant Ratio of Curvature and Torsion." In Differential Geometry and Topology of Curves, 65–68. CRC Press, 2001. http://dx.doi.org/10.1201/9781420022605.ch15.

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BANTEL, M. K., and R. D. NEWMAN. "DETERMINING THE GRAVITATIONAL CONSTANT USING A CRYOGENIC TORSION PENDULUM." In The Ninth Marcel Grossmann Meeting, 1781–82. World Scientific Publishing Company, 2002. http://dx.doi.org/10.1142/9789812777386_0383.

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Farne, Hugo, Edward Norris-Cervetto, and James Warbrick-Smith. "Left iliac fossa pain." In Oxford Cases in Medicine and Surgery. Oxford University Press, 2015. http://dx.doi.org/10.1093/oso/9780198716228.003.0023.

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In Figure 17.1 the differential diagnosis is arranged in order of likelihood in a woman of this age, with more likely diagnoses in larger font and less likely diagnoses in smaller font. Pathologies that should be excluded at the earliest possible opportunity are shown in bold. There are a number of gynaecological pathologies that can cause acute LIF pain. Some, such as ectopic pregnancy, mittelschmerz (mid-cycle pain), or haemorrhage into a functional ovarian cyst, can only occur in menstruating women. Others, such as pelvic inflammatory disease or torsion/rupture of an ovarian cyst, are far more likely to be seen in women younger than Mrs Hamilton, but can be kept in mind as rare differentials for someone of her age. Testicular torsion can cause referred pain to either the left or right iliac fossa and tends to occur in boys and young men. Haemorrhage into a testicular tumour can also cause left or right iliac fossa pain. Thus, don’t forget to examine the testes. You should ask the standard array of questions about the pain—remember the mnemonic SOCRATES: Site: Where is the pain, and has it always been there? Pain that is initially poorly localized, midline, and colicky but which then migrates to the LIF and becomes constant is highly suggestive of acute diverticulitis (akin to left-sided appendicitis). Pain that migrates down the left flank and iliac fossa is more consistent with the migration of a ureteric stone. Onset: Gradual or sudden? Sudden onset of pain is suggestive of perforation of a viscus, or of acute haemorrhage (e.g. into an ovarian cyst or from a ruptured AAA) or torsion (of an ovary or testis). Character: Is the pain colicky or constant? Is it sharp or dull? Acute diverticulitis is often preceded by colicky midline pain. Ureteric calculi may result in colicky pain. Established diverticulitis, and the other differential diagnoses from our list would all produce constant abdominal pain. Sharp pain is most suggestive of haemorrhage, perforation, or torsion. Radiation: Does the pain radiate to the groin (typical of ureteric pain)? Alleviating factors: Does anything make the pain better? Discomfort due to irritable bowel syndrome (IBS) may be relieved by defecation.
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ARMSTRONG, T. R., and M. P. FITZGERALD. "MEASUREMENTS OF THE NEWTONIAN GRAVITATIONAL CONSTANT WITH THE MSL TORSION BALANCE." In The Ninth Marcel Grossmann Meeting, 1779–80. World Scientific Publishing Company, 2002. http://dx.doi.org/10.1142/9789812777386_0382.

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GUNDLACH, JENS H., and STEPHEN M. MERKOWITZ. "MEASUREMENT OF NEWTON'S CONSTANT USING A TORSION BALANCE IN ANGULAR ACCELERATION FEEDBACK." In The Ninth Marcel Grossmann Meeting, 1783–85. World Scientific Publishing Company, 2002. http://dx.doi.org/10.1142/9789812777386_0384.

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Conference papers on the topic "Torsion constant"

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Bantel, M. K., E. C. Berg, W. D. Cross, and R. D. Newman. "Measuring the gravitational constant with a cryogenic torsion pendulum." In 2008 Conference on Precision Electromagnetic Measurements (CPEM 2008). IEEE, 2008. http://dx.doi.org/10.1109/cpem.2008.4574624.

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Heath, Patrick J., Stuart A. Allison, and J. M. Schurr. "Effect of bending strain on the torsion constant of DNA." In Laser Applications in Life Sciences: 5th International Conference, edited by Pavel A. Apanasevich, Nikolai I. Koroteev, Sergei G. Kruglik, and Victor N. Zadkov. SPIE, 1995. http://dx.doi.org/10.1117/12.197454.

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CARBONE, L., H. PANJWANI, C. C. SPEAKE, T. J. QUINN, and C. J. COLLINS. "A TORSION BALANCE SEARCH FOR TEMPORAL VARIATIONS IN THE NEWTONIAN CONSTANT." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0250.

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Berg, E. C., M. K. Bantel, and R. D. Newman. "Progress in the Measurement of the Gravitational Constant using a Cryogenic Torsion Pendulum." In 2004 Conference on Precision Electromagnetic Measurements. IEEE, 2004. http://dx.doi.org/10.1109/cpem.2004.305348.

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Yundian, Zhang, Yu Fang, Chen Yan, and Zhang Zhixiao. "Study of Constant Torsion Assembly Method of Piezoelectric Transducer Based on PC Control." In 2006 2nd IEEE/ASME International Conference on Mechatronics and Embedded Systems and Applications. IEEE, 2006. http://dx.doi.org/10.1109/mesa.2006.296932.

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He, Simon Xunnan, and Jefferson E. Howell. "Theoretical Design and Performance Improvement of the Torsion Bar in Constant Force Retractors." In International Congress & Exposition. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 1998. http://dx.doi.org/10.4271/980352.

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FABBRI, LUCA. "FROM EXTENDED GRAVITY WITH TORSION-SPIN COUPLING TO RUNNING CONSTANT FOR WEAK-LEPTONIC FORCES." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0097.

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Nanda, Aditya, and M. Amin Karami. "Flexural Frequency Bandgaps in a Foldable Metamaterial Structure." In ASME 2017 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/smasis2017-3892.

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Abstract:
This manuscript investigates the flexural wave propagation behavior of a foldable metamaterial structure. Origami-inspired foldable structures are making inroads into many engineering applications — deployable solar cell arrays, foldable telescope lenses, foldable automotive airbags, to name a few; driven primarily by some of the remarkable mechanical properties (high stiffness, negative Poisson’s ratio, bistability etc.) of these structures. The chief motivation of this research is a comprehensive analysis of flexural wave propagation in such foldable structures. The repeating unit cell of the structure consists of an Euler-Bernoulli beam and a torsion spring. Transfer Matrix (TM) method is used to analyze the vibration attenuation properties of the structure and it is shown that the structure exhibits bandgap behavior. The obtained bandgaps are validated using Finite Element Analysis (FEA). Using the characteristic equation of the transfer matrix, we derive a transcendental equation for the bandgap edge frequencies. We show that for the nth band gap, the second band edge frequency is always equal to the natural frequency of the nth modeshape of the constituent beam under the simply supported condition. This frequency, therefore, is independent of the torsion spring constant. In addition, a detailed parametric study of the variation in band edge frequencies when the geometric and material parameters of the structure (Young’s modulus of beam, torsional spring constant, width and thickness of beam etc.) are varied is conducted. It is concluded that the ratio of flexural rigidity of the beam to the torsion spring constant (EI/kt) is an important parameter affecting the width of the bandgap. For low values of the ratio, i.e., low beam flexural rigidity and high torsional stiffness, the first band edge frequency is almost equal to the second band edge and, effectively, no bandgap exists. As the stiffness ratio increases, i.e. high flexural rigidity (EI of the beam) and low torsional stiffness kt, the first band edge frequency assumes progressively lower values relative to the second band edge and we obtain a relatively large bandgap over which no flexural waves propagate. This has important ramifications for the design of foldable metamaterial structures.
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Renda, Federico, Vito Cacucciolo, Jorge Dias, and Lakmal Seneviratne. "Discrete Cosserat approach for soft robot dynamics: A new piece-wise constant strain model with torsion and shears." In 2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2016. http://dx.doi.org/10.1109/iros.2016.7759808.

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Radaelli, Giuseppe, Juan A. Gallego, and Just L. Herder. "An Energy Approach to Static Balancing of Systems With Torsion Stiffness." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28071.

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Static balance can be applied to improve energy efficiency of mechanisms. In the field of static balancing, a lack of knowledge and design methods exists that are capable of dealing with torsional stiffness. This paper presents a design approach for statically balanced mechanisms, with the focus on mechanisms with torsional stiffness. The approach is graphical of nature and it is based on the requirement of constant potential energy. The first achievements of the presented approach are presented as five conceptual designs of four different types of mechanisms. One of them is developed further into a prototype, which has been tested. The prototype has a correlation coefficient of 0.96 and a normalized mean squared error of 0.12 with respect to the mechanical model of the conceptual design.
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