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Journal articles on the topic 'Torsion-rotation coupling'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

PAN, Y. Y., C. M. ZHANG, Y. H. ZHAO, and R. JUN. "A TETRAD DESCRIPTION ON THE DIRAC SPIN-ROTATION EFFECT." International Journal of Modern Physics D 20, no. 10 (2011): 1979–82. http://dx.doi.org/10.1142/s0218271811020044.

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Rotation and Dirac spin coupling is described by the tetrad field for a rotating system, where the rotation-spin effect is replaced by an axial torsion-spin. After constructing a rotating tetrad field, we derive the torsion quantities, by which we deal with the torsion-spin coupling.

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2

Shu-Xia, Qiu, and Shao Cheng-Gang. "Spin-Rotation Coupling in Gravitation with Torsion." Communications in Theoretical Physics 48, no. 3 (2007): 473–76. http://dx.doi.org/10.1088/0253-6102/48/3/019.

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3

ZHANG, C. M., and A. BEESHAM. "ROTATION INTRINSIC SPIN COUPLING: THE PARALLELISM DESCRIPTION." Modern Physics Letters A 16, no. 36 (2001): 2319–26. http://dx.doi.org/10.1142/s0217732301005886.

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For the Dirac particle in the rotational system, the rotation induced inertia effect is analogously treated as the modification of the "spin connection" on the Dirac equation in the flat space–time, which is determined by the equivalent tetrad. From the point of view of parallelism description of space–time, the obtained torsion axial-vector is just the rotational angular velocity, which is included in the "spin connection". Furthermore the axial-vector spin coupling induced spin precession is just the rotation-spin (1/2) interaction predicted by Mashhoon. Our derivation treatment is straightf

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4

Wanas, M. I., Mona M. Kamal, A. M. Sherif, and Sarah S. Abdelsalam. "Results of space experiments and effect of torsion." International Journal of Geometric Methods in Modern Physics 17, no. 10 (2020): 2050152. http://dx.doi.org/10.1142/s0219887820501522.

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The results of two space experiments, around the world clocks and gravity probe B, are analyzed theoretically using a field theory. The field equations of this theory are reduced to those of general relativity outside material distribution, while its equations of motion are not a geodesic one. This equation violates the weak equivalence principle because of the non-vanishing torsion in the geometry used. The predictions of the theory give rise to the time dilation measured by the first experiment and to the geodetic and frame drag effects measured by the second experiment. Furthermore, we show

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5

DE ANDRADE, L. C. GARCIA. "SPIN-ROTATION COUPLING EFFECTS ON THE STRUCTURE FORMATION IN GÖDEL UNIVERSE AND COBE DATA." International Journal of Modern Physics D 11, no. 05 (2002): 733–37. http://dx.doi.org/10.1142/s0218271802001949.

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A rotating universe represented by the Gödel metric in spacetimes with Cartan torsion is investigated. The spin–torsion coupling is shown to contribute to the structure formation in an apppreciable way only at the early stages of the universe. To demonstrate these conjectures, we have made use of a spinning fluid model in Einstein–Cartan gravity. We also show that autoparallel equation in Riemann–Cartan spacetime leads to the evolution equation of the cosmological perturbation where the spin-rotation coupling contributes to the growth of inhomogeneities through a constant term. From this idea,

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6

ZHANG, C. M. "GENERAL DESCRIPTION OF DIRAC SPIN–ROTATION EFFECT WITH RELATIVISTIC FACTOR." International Journal of Modern Physics D 16, no. 04 (2007): 737–44. http://dx.doi.org/10.1142/s0218271807009875.

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The Mashhoon rotation–spin coupling is studied by means of the parallelism description of general relativity. The relativistic rotational tetrad is exploited which results in the Minkowski metric, and the torsion axial-vector and Dirac spin coupling will give the Mashhoon rotation–spin term. For the high speed rotating cases, the tangent velocity constructed by the angular velocity Ω multiplying the distance r may exceed over the speed of light c, i.e. Ωr ≥ c, which will make the relativistic factor γ infinity or imaginary. In order to avoid this "meaningless" difficulty occurring in γ factor,

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7

Gascooke, Jason R., and Warren D. Lawrance. "The Case for Methyl Group Precession Accompanying Torsional Motion." Australian Journal of Chemistry 73, no. 8 (2020): 775. http://dx.doi.org/10.1071/ch19469.

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For molecules containing a methyl group, high precision fits of rotational line data (microwave spectra) that encompass several torsional states require considerably more constants than are required in comparable rigid molecules. Many of these additional terms are ‘torsion-rotation interaction’ terms, but their precise physical meaning is unclear. In this paper, we explore the physical origins of many of these additional terms in the case where the methyl group is attached to a planar frame. We show that torsion-vibration coupling, which has been observed in toluene and several substituted tol

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8

Marlett, Melanie L., Zhou Lin, and Anne B. McCoy. "Rotation/Torsion Coupling in H5+, D5+, H4D+, and HD4+Using Diffusion Monte Carlo." Journal of Physical Chemistry A 119, no. 35 (2015): 9405–13. http://dx.doi.org/10.1021/acs.jpca.5b05773.

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9

Heitzmann, Daniel WW, Kai Pieschel, Merkur Alimusaj, Julia Block, Cornelia Putz, and Sebastian I. Wolf. "Functional effects of a prosthetic torsion adapter in trans-tibial amputees during unplanned spin and step turns." Prosthetics and Orthotics International 40, no. 5 (2016): 558–65. http://dx.doi.org/10.1177/0309364615592698.

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Background:Shear stress at the stump in trans-tibial amputees induced by turning movements may be reduced with the use of torsion adapters in the prosthesis.Objective:Monitoring the motion and kinetic effects of a regular torsion adapter in comparison to a rigid placebo in unplanned spin and step turns.Study design:Single-blinded placebo-controlled cohort study.Methods:In total, 10 trans-tibial amputees underwent three-dimensional gait analysis in level walking and unplanned spin and step turns with a torsion adapter and with a rigid placebo.Results:Kinetic effects varied among participants. N

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10

Schaefer, Ted, Wing K. Chan, Rudy Sebastian, Robert Schurko та Frank E. Hruska. "Concerning the internal rotational barrier and the experimental and theoretical nJ(13C,13C) and nJ (1H,13C) in ethylbenzene-β-13C". Canadian Journal of Chemistry 72, № 9 (1994): 1972–77. http://dx.doi.org/10.1139/v94-252.

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The 1H nuclear magnetic resonance spectra of ethylbenzene-β-13C in CS2/C6D12 and acetone-d6 solutions yield long-range 1H,1H and 1H,13C coupling constants. The 13C {1H} NMR spectra yield 13C, 13C couplings. The conformational dependence of some of these coupling constants is compatible with two values of the barrier to internal rotation about the exocyclic Csp2—Csp3 bond. If the fourfold component of the internal rotational potential is not larger than about 20% of the twofold component and the perpendicular conformer is most stable, then the barrier height is probably less than 6 kJ/mol. Howe

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11

Ghiţescu, Marilena, Ion-Marius Ghiţescu, Paul Nicolae Borza, and Sorin Vlase. "A New Optimized Solution for a Flexible Coupling with Bolts Used in the Mechanical Transmissions." Symmetry 13, no. 2 (2021): 171. http://dx.doi.org/10.3390/sym13020171.

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The paper presents a new constructive and functional solution of flexible coupling with bolts and nonmetallic intermediary elements. The bolts have a special shape in the sense that they have a milled area on a certain length equal to the width of the non-metallic element, a cylindrical area that reduces the stress concentrators at the diameter passages. The novelty of this coupling consists of the existence of one intermediary disk between two semi couplings (driver and driven semi couplings). This is fixed by the semi-coupling on the right side, the intermediary disc having milled four locat

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12

Ross, Stephen C., Koichi M. T. Yamada, and Fumiyuki Ito. "Torsion–rotation coupling and the determination of the torsional potential energy function of HSOH." Physical Chemistry Chemical Physics 12, no. 36 (2010): 11133. http://dx.doi.org/10.1039/c001932a.

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13

Martin, James L., Robert Ishmukhametov, David Spetzler, Tassilo Hornung, and Wayne D. Frasch. "Elastic coupling power stroke mechanism of the F1-ATPase molecular motor." Proceedings of the National Academy of Sciences 115, no. 22 (2018): 5750–55. http://dx.doi.org/10.1073/pnas.1803147115.

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The angular velocity profile of the 120° F1-ATPase power stroke was resolved as a function of temperature from 16.3 to 44.6 °C using a ΔμATP = −31.25 kBT at a time resolution of 10 μs. Angular velocities during the first 60° of the power stroke (phase 1) varied inversely with temperature, resulting in negative activation energies with a parabolic dependence. This is direct evidence that phase 1 rotation derives from elastic energy (spring constant, κ = 50 kBT·rad−2). Phase 2 of the power stroke had an enthalpic component indicating that additional energy input occurred to enable the γ-subunit

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14

WANG, SHUREN, YUHAO WANG, ZELIANG WANG, JIAN GONG, and CHUNLIU LI. "ANCHORING PERFORMANCES ANALYSIS OF TENSION-TORSION GROUTED ANCHOR UNDER FREE AND NON-FREE ROTATING CONDITIONS." DYNA 96, no. 1 (2021): 166–72. http://dx.doi.org/10.6036/9985.

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For the failure mechanism of the anchor cable lags behind the practice demand for theoretical models, Abaqus technique was used to analyze the anchoring performances of the grouted anchor under the conditions of free and non-free rotating. The tension-torsion coupling characteristics and the progressive failure mechanism of the anchorage segment were studied during the pull-out test. The torsion response of the anchorage segment and the internal horizontal and vertical strain changes in the anchoring concrete were also analyzed. Results show that the proposed calculation model of the anchor ca

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15

Li, Xiang Zhen, Yi Feng Xie, and Bing Li. "Influence of the Isolated Layer Damping Distribution of the Lateral-Torsional Coupling Isolated System on Earthquake Response." Advanced Materials Research 368-373 (October 2011): 1186–91. http://dx.doi.org/10.4028/www.scientific.net/amr.368-373.1186.

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On the basis of the simplified model of lateral-torsional coupling isolated structure, dynamic equations of non-proportional damping isolated system of lateral-torsional coupling is established, and the influence of the isolated layer and the superstructure damping dynamic parameters on earthquake response is calculated and analyzed. The results show that, by reasonable adjustment of the damping distribution of the isolated layer, the torsion effect of the superstructure can be significantly reduced, and the basis displacement as well as rotation can be better suppressed, providing a basis for

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16

Richard, Erik C., Robert A. Walker, and James C. Weisshaar. "Hindered internal rotation and torsion–vibrational coupling in ortho‐chlorotoluene (S1) and ortho‐chlorotoluene+ (D0)." Journal of Chemical Physics 104, no. 12 (1996): 4451–69. http://dx.doi.org/10.1063/1.471198.

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17

Huang, S. C., and K. B. Ho. "Coupled Shaft-Torsion and Blade-Bending Vibrations of a Rotating Shaft–Disk–Blade Unit." Journal of Engineering for Gas Turbines and Power 118, no. 1 (1996): 100–106. http://dx.doi.org/10.1115/1.2816524.

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A new approach to analyzing the dynamic coupling between shaft torsion and blade bending of a rotating shaft–disk–blade unit is introduced. The approach allows the shaft to vibrate freely around its rotation axis instead of assuming a periodic perturbation of the shaft speed that may accommodate the shaft flexibility only to a limited extent. A weighted residual method is applied, and the receptances at the connections of blades and shaft–disk are formulated. Numerical examples are given for cases with between two and six symmetrically arranged blades. The results show not only coupling betwee

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18

Chiu, Yi Jui, Dar Zen Chen, and Chia Hao Yang. "Influence on Coupling Vibration of Rotor System with Grouped Blades due to Mistuned Lacing Wire." Applied Mechanics and Materials 101-102 (September 2011): 1119–25. http://dx.doi.org/10.4028/www.scientific.net/amm.101-102.1119.

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The influence on coupling vibrations among shaft-torsion and blade-bending coupling vibrations of a rotor system with grouped blades was investigated analytically. The natural frequencies and the mode shapes of the system were solved with five- and six-blade cases used as examples. First, numerical results showed how the natural frequencies varied with the wire stiffness and the lacing wire mistuned. The diagrams of the coupling mode shapes were drawn. From the results, it was found that lacing wire did not affect the SB (shaft-blades) coupling modes, but the BB (inter-blades) modes were indee

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19

Misslisch, H., and D. Tweed. "Torsional dynamics and cross-coupling in the human vestibulo-ocular reflex during active head rotation." Journal of Vestibular Research 10, no. 2 (2000): 119–25. http://dx.doi.org/10.3233/ves-2000-10207.

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Six subjects fixated an imagined space-fixed target in darkness, or a visible target against a structured visual background, while rotating their heads actively in yaw, pitch and roll at four different frequencies, from 0.3 to 2.4 Hz. We used search coils to measure the 3-dimensional rotations of the head and eye, and described the relation between them – the input-output function of the rotational vestibulo-ocular reflex (VOR) – using gain matrices. We found consistent cross-coupling in which torsional head rotation evoked horizontal eye rotation. The reason may be that the eyes are above the

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20

Yang, Chia-Hao, and Shyh-Chin Huang. "Coupling Vibrations in Rotating Shaft-Disk-Blades System." Journal of Vibration and Acoustics 129, no. 1 (2007): 48–57. http://dx.doi.org/10.1115/1.2221328.

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Applications that have coupling among shaft, disk, and blades are investigated. A shaft-disk-blades unit often seen in engineering is presented. The governing relations for shaft torsion, disk bending, and blade bending are derived. Free vibration is then studied and the results show that shaft-blade (SB), shaft-disk-blades (SDB), disk-blades (DB), and blade-blade (BB) type coupling modes exist. The SDB and DB modes are observed to be evolved from the original SB and BB modes in a previously studied case of a rigid disk case. The effects of stagger angle (β) on the coupling of the components a

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21

Xue, Xiangzhen, Qixin Huo, and Jian Liu. "Nonlinear Vibration Characteristics of the Involute Spline Coupling in Aeroengine with the Parallel Misalignment." International Journal of Aerospace Engineering 2021 (September 3, 2021): 1–19. http://dx.doi.org/10.1155/2021/6689442.

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In order to control the vibration of the involute spline coupling in aeroengine well and reduce the fretting wear, a bending–torsion coupling nonlinear vibration model of the involute spline coupling with the misalignment was proposed, and a dynamic meshing stiffness function with multiteeth engagement was established. Then, the influence of different misalignment, wear, and rotation speeds with different misalignment on the nonlinear vibration characteristics of the involute aviation spline coupling was explored. The result shows that with an increase of the parallel misalignment, the system

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22

Schaefer, Ted, Rudy Sebastian, Salman R. Salman, James D. Baleja, Glenn H. Penner, and David M. McKinnon. "The proximate coupling constant, 5J(H,CH3), and the torsional mobility of the thiomethyl group in some thioanisole derivatives." Canadian Journal of Chemistry 69, no. 4 (1991): 620–24. http://dx.doi.org/10.1139/v91-094.

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The proximate coupling constants, 5J, between ortho and methyl protons in thioanisole and 18 of its derivatives are discussed as conformational indicators. On the assumption that 5J varies as cos4θ, for 0° ≤ θ ≤ 90°, θ being the angle by which the methyl group twists out of the aromatic plane, 5J for θ = 0° follows as −0.43 (2) Hz from the known internal barrier in thioanisole in solution. A measurement of 5J in meta- or para-substituted thioanisole derivatives then yields an approximate value for the twofold barrier to rotation about the Csp2—S bond. For derivatives containing an ortho substi

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23

Huang, Jianyou, Chia-Ou Chang, and Chien-Cheng Chang. "Analysis of Structural Vibrations of Vertical Axis Wind Turbine Blades via Hamilton’s Principle — Part 1: General Formulation." International Journal of Structural Stability and Dynamics 20, no. 09 (2020): 2050098. http://dx.doi.org/10.1142/s0219455420500984.

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Energy harvesting by wind turbines is of great concern in many countries/areas, yet its safety is inevitably related to the structural vibration of the turbine system. In this study, we present a complete linear analysis of structural vibrations for vertical axis wind turbines (VAWTs) based on Euler’s beam theory by Lagrangian mechanics. The un-deformed blade is assumed to be vertically straight. There are several findings from solving the resultant equations which represent four dimensions of deformation, involving motion: lateral bending-chordwise bending-axial torsion-axial extension (BBTE)

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24

Yardimoglu, Bulent, and Daniel J. Inman. "Coupled Bending-Bending-Torsion Vibration of a Pre-Twisted Beam with Aerofoil Cross-Section by the Finite Element Method." Shock and Vibration 10, no. 4 (2003): 223–30. http://dx.doi.org/10.1155/2003/354074.

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The present study deals with a finite element model for coupled bending-bending-torsion vibration analysis of a pretwisted Timoshenko beam with varying aerofoil cross-section. The element derived in this paper has two nodes, with seven degrees of freedom at each node. The nodal variables are transverse displacements, cross-section rotations and the shear angles in two planes and torsional displacement. The advantage of the present element is the exclusion of unnecessary derivatives of fundamental nodal variables, which were included to obtain invertable square matrix by other researchers, by c

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25

Kong, Xianqi, Aaron Tang, Ruiyao Wang, Eric Ye, Victor Terskikh, and Gang Wu. "Are the amide bonds in N-acyl imidazoles twisted? A combined solid-state 17O NMR, crystallographic, and computational study." Canadian Journal of Chemistry 93, no. 4 (2015): 451–58. http://dx.doi.org/10.1139/cjc-2014-0397.

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We report synthesis of 17O-labeling and solid-state 17O NMR measurements of three N-acyl imidazoles of the type R-C(17O)-Im: R = p-methoxycinnamoyl (MCA-Im), R = 4-(dimethylamino)benzoyl (DAB-Im), and R = 2,4,6-trimethylbenzoyl (TMB-Im). Solid-state 17O NMR experiments allowed us to determine for the first time the 17O quadrupole coupling and chemical shift tensors in this class of organic compounds. We also determined the crystal structures of these compounds using single-crystal X-ray diffraction. The crystal structures show that, while the C(O)–N amide bond in DAB-Im exhibits a small twist,

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26

Gascooke, Jason R., and Warren D. Lawrance. "The toluene-Ar complex: S0 and S1 van der Waals modes, changes to methyl rotation, and torsion-van der Waals vibration coupling." Journal of Chemical Physics 138, no. 8 (2013): 084304. http://dx.doi.org/10.1063/1.4792642.

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27

Cestino, Enrico, Giacomo Frulla, Paolo Piana, and Renzo Duella. "Numerical/Experimental Validation of Thin-Walled Composite Box Beam Optimal Design." Aerospace 7, no. 8 (2020): 111. http://dx.doi.org/10.3390/aerospace7080111.

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Thin-walled composite box beam structural configuration is representative of a specific high aspect ratio wing structure. The optimal design procedure and lay-up definition including appropriate coupling necessary for aerospace applications has been identified by means of “ad hoc” analytical formulation and by application of commercial code. The overall equivalent bending, torsional and coupled stiffness are derived and the accuracy of the simplified beam model is demonstrated by the application of Altair Optistruct. A simple case of a coupled cantilevered beam with load at one end is introduc

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28

Schaefer, Ted, and Rudy Sebastian. "Remarks on the barrier to rotation about the Csp2—O bond in anisole." Canadian Journal of Chemistry 67, no. 7 (1989): 1148–52. http://dx.doi.org/10.1139/v89-173.

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Molecular orbital computations with the basis set 6-31G are reported for seven values of θ, the torsion angle about the [Formula: see text] bond in anisole. All bond angles and lengths are optimized but the atoms of the phenyl group are constrained to a plane. The relative energies are fit by V(θ)/kJ mol−1 = 7.78(5) sin2θ + 2.41(5) sin2 2θ − 0.54(5) sin2 3θ, where θ is zero when the heavy-atom skeleton is planar. Computations with the basis set 6-31G*(5D) for three values of θ can be reproduced by V(θ)/kJ mol−1 = 6.07 sin2θ + 2.68 sin2 2θ. These results are compared with experimental gas phase

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29

Woody, Robert W., and Gennaro Pescitelli. "The Role of Heme Chirality in the Circular Dichroism of Heme Proteins." Zeitschrift für Naturforschung A 69, no. 7 (2014): 313–25. http://dx.doi.org/10.5560/zna.2014-0004.

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The rotational strength (R) of the Soret transition in sperm-whale myoglobin (SW Mb), the hemoglobin from Chironomus thummi thummi (CTT Hb), and human hemoglobin (hHb) has been calculated using 20 high-resolution (< 1:5 Å) crystal structures. The intrinsic rotational strength due to heme non-planarity was calculated using π-electron theory and time-dependent density functional theory (TDDFT). Calculations on model protoporphyrins with a planar nucleus and with various torsional angles for the 2- and 4-vinyl substituents showed maximum R of ±0.70 Debye-Bohr magneton (1 DBM = 0.9273 · 10-38 c

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30

Bachschmid, N., P. Pennacchi, E. Tanzi, and S. Audebert. "Transverse Crack Modeling and Validation in Rotor Systems Including Thermal Effects." International Journal of Rotating Machinery 10, no. 4 (2004): 253–63. http://dx.doi.org/10.1155/s1023621x04000272.

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In this article, a model is described that allows one to simulate the static behavior of a transversal crack in a horizontal rotor, under the action of the weight and other possible static loads and the dynamical behavior of the rotating cracked shaft. The crack “breaths,” i.e., the mechanism of opening and closing of the crack, is ruled by the stress acting on the cracked section due to the external loads; in a rotor the stress is time-depending with a period equal to the period of rotation, thus the crack “periodically breaths.” An original simplified model is described that allows cracks of

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31

Kosmatka, J. B., H. C. Lin, and S. B. Dong. "On Saint-Venant’s Problem for an Inhomogeneous, Anisotropic Cylinder—Part II: Cross-Sectional Properties." Journal of Applied Mechanics 68, no. 3 (2000): 382–91. http://dx.doi.org/10.1115/1.1365152.

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Cross-sectional properties of a prismatic inhomogeneous, anisotropic cylinder are determined from Saint-Venant solutions for extension-bending-torsion and flexure, whose method of construction was presented in a previous paper. The coupling of extensional, bending, and twisting deformations due to anisotropy and inhomogeneity leads to some very interesting features. Herein, it is shown that for an inhomogeneous, anisotropic cylinder whose cross-sectional plane is not a material symmetry plane, distinct modulus-weighted and compliance-weighted centroids and distinct principal bending axes are p

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32

Минасян, М. А., Ц. Цзэн, and А. М. Минасян. "Method for calculating the «mamsar+a» coupling with rope-core elements." MORSKIE INTELLEKTUAL`NYE TEHNOLOGII), no. 2(52) (June 20, 2021): 96–103. http://dx.doi.org/10.37220/mit.2021.52.2.039.

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Цель представленной статьи – ознакомление читателей с оригинальной методикой расчета канатностержневой муфты «MAMSAR+A». Методика расчета канатностержневой муфты рассматривается применительно к экспериментальному дизель-генераторному агрегату мощностью 9,56 кВт при частоте вращения 1500 мин-1с дизелем 2Ч8,5/11 и генератором «КГ-5,6». Расчетная рабочая длина канатных стержней 90 мм, диаметр каната 12 мм с шестью одинаковыми прядями. Максимальный угол закручивания канатностержневой муфты принят 30°. Задача состоит в выводе уточненной зависимости угла закручивания от величины крутящего момента на

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33

GRISO, GEORGES. "ASYMPTOTIC BEHAVIOR OF STRUCTURES MADE OF CURVED RODS." Analysis and Applications 06, no. 01 (2008): 11–22. http://dx.doi.org/10.1142/s0219530508001031.

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In this paper, we study the asymptotic behavior of a structure made of curved rods of thickness 2δ when δ tends to 0. This study is carried on within the frame of linear elasticity by using the unfolding method. It is based on several decompositions of the structure displacements and on the passing to the limit in fixed domains. We show that any displacement of a structure is the sum of an elementary rods-structure displacement (e.r.s.d.) concerning the rods' cross sections and a residual one related to the deformation of the cross section. The e.r.s.d. coincides with rigid body displacements

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34

Mohamed, Tarek A., Ibrahim A. Shaaban, Usama A. Soliman, and Lee D. Wilson. "Computational (DFT and MP2) and spectral interpretations, normal coordinate analysis, force constants and barriers to internal rotations of Trimethylacetonitrile." Journal of Theoretical and Computational Chemistry 15, no. 04 (2016): 1650034. http://dx.doi.org/10.1142/s0219633616500346.

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The Raman (3500[Formula: see text]cm[Formula: see text]100[Formula: see text]cm[Formula: see text] and IR spectra (4000[Formula: see text]cm[Formula: see text]400[Formula: see text]cm[Formula: see text] of liquid trimethylacetonitrile (C5H9N, TMA) have been obtained. In addition, the 1H and [Formula: see text]C NMR spectra of TMA were obtained in DMSO-[Formula: see text] and CDCl3. The staggered conformer (C[Formula: see text] was favored using MP2 and DFT(B3LYP/[Formula: see text]B97XD) quantum mechanical calculations utilizing a 6-311[Formula: see text]G(d,p) basis set. High energy differenc

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35

Cartmell, Matthew P., James E. Faller, Nicholas A. Lockerbie, and Eva Handous. "On the modelling and testing of a laboratory-scale Foucault pendulum as a precursor for the design of a high-performance measurement instrument." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2238 (2020): 20190680. http://dx.doi.org/10.1098/rspa.2019.0680.

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An integrated study is presented on the dynamic modelling and experimental testing of a mid-length Foucault pendulum with the aim of confirming insights from the literature on the reliable operation of this device and setting markers for future research in which the pendulum may be used for the measurement of relativistic effects due to terrestrial gravity. A tractable nonlinear mathematical model is derived for the dynamics of a practical laboratory Foucault pendulum and its performance with and without parametric excitation, and with coupling to long-axis torsion is investigated numerically

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Lee, Choongkil, David S. Zee, and Dominik Straumann. "Saccades From Torsional Offset Positions Back to Listing's Plane." Journal of Neurophysiology 83, no. 6 (2000): 3241–53. http://dx.doi.org/10.1152/jn.2000.83.6.3241.

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Rapid eye movements include saccades and quick phases of nystagmus and may have components around all three axes of ocular rotation: horizontal, vertical, and torsional. In this study, we recorded horizontal, vertical, and torsional eye movements in normal subjects with their heads upright and stationary. We asked how the eyes are brought back to Listing's plane after they are displaced from it. We found that torsional offsets, induced with a rotating optokinetic disk oriented perpendicular to the subject's straight ahead, were corrected during both horizontal and vertical voluntary saccades.

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Li, Chao Feng, Shi Hua Zhou, and Jie Liu. "Numerical Simulation of a Bending-Torsion Coupling Gear Transmission System." Applied Mechanics and Materials 448-453 (October 2013): 3403–7. http://dx.doi.org/10.4028/www.scientific.net/amm.448-453.3403.

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Based on the establishment of angular contact ball bearing mechanical model, a nonlinear coupled lateral, torsional and axial dynamic model of helical gear-rotor-bearing system is established, and the dynamic differential equations of the coupled lateral-torsional-axial nonlinear vibration are deduced for imbalance rotors. The investigations are systematically carried out by oscillograms and spectrograms with rotating speed, taking into account eccentricity and nonlinear supporting by rolling bearing. The results show that the rotation frequency of the driven shaft appears in the driving shaft

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Huang, Meng, Terry A. Miller, Anne B. McCoy, Kuo-Hsiang Hsu, Yu-Hsuan Huang, and Yuan-Pern Lee. "Modeling the CH Stretch/Torsion/Rotation Couplings in Methyl Peroxy (CH3OO)." Journal of Physical Chemistry A 121, no. 50 (2017): 9619–30. http://dx.doi.org/10.1021/acs.jpca.7b10784.

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Wu, Yuanqing, and Marco Carricato. "Workspace optimization of a class of zero-torsion parallel wrists." Robotica 37, no. 7 (2018): 1174–89. http://dx.doi.org/10.1017/s0263574718000413.

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SUMMARYWe present singularity-free workspace optimization of a class of two-degree-of-freedom (2-DoF) parallel wrists with large rotation range capability. The wrists in consideration are kinematically equivalent to two families of 2-DoF homokinetic couplings. The first family comprises fully parallel wrists with N (N ≥ 3) double-universal ($\mathcal{UU}$) legs. The second family comprises spherical N-$\mathcal{UU}$ parallel wrists with interconnecting revolute ($\mathcal{R}$) joints. Both families belong to the more general class of zero-torsion parallel manipulators, and are, therefore, coll

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Mahbobian, Kamyar, and Y. Tadi Beni. "Investigation of Rotation Elastic Boundary Condition on the Pull-In Instability of Electrostatic Torsional Actuators." Advanced Materials Research 445 (January 2012): 1070–75. http://dx.doi.org/10.4028/www.scientific.net/amr.445.1070.

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In this paper, the static pull-in instability of torsional nanoelectromechanical systems (NEMS) with coupling effect between torsion and bending is investigated considering the effect of translation elastic boundary condition. A set of normalized equations governing the static actuation properties of the torsional actuator is derived to demonstrate the relationships between the parameters of static characteristics, such as torsion angle, vertical displacement, and applied voltage. The results from this model demonstrated that the real model of boundary condition (elastic boundary condition) is

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Kobelev, Vladimir. "Approximate static aeroelastic analysis of composite wings." Multidiscipline Modeling in Materials and Structures 15, no. 2 (2019): 365–86. http://dx.doi.org/10.1108/mmms-02-2018-0019.

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PurposeThe purpose of this paper is to consider divergence of composite plate wings as well as slender wings with thin-walled cross-section of small-size airplanes. The main attention is paid to establishing of closed-form mathematical solutions for models of wings with coupling effects. Simplified solutions for calculating the divergence speed of wings with different geometry are established.Design/methodology/approachThe wings are modeled as anisotropic plate elements and thin-walled beams with closed cross-section. Two-dimensional plate-like models are applied to analysis and design problem

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Kanazawa, T., A. Yoshioka, G. Lambiase, and G. Vilasi. "Scalar–tensor theories of gravity with torsion and the propagation of photons." International Journal of Geometric Methods in Modern Physics 15, no. 10 (2018): 1850176. http://dx.doi.org/10.1142/s0219887818501761.

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In this paper, we study the propagation of photons in a spacetime of a scalar–tensor screwed cosmic string. We determine the Stokes parameters and compute the rotation of the polarization angle. The latter turns out to depend on the wavelength of the propagating photons and on the cosmological redshift. We then compute the circular polarization of photons showing that, to leading order in the coupling constant, it is zero for the model under consideration.

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Kasten, W., and H. Dreizler. "Determination of a High Potential Barrier Hindering Internal Rotation from the Microwave Ground State Spectrum The Methylbarrier of Antiperiplanar and Synclinal Normal Propyl Fluoride." Zeitschrift für Naturforschung A 41, no. 7 (1986): 944–54. http://dx.doi.org/10.1515/zna-1986-0708.

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The microwave ground state spectra of antiperiplanar and synclinal normal propyl fluoride have been measured by microwave Fourier transform spectroscopy and analysed for methyl torsion fine structure. Additionally, the spectrum of the synclinal form in the first excited state of the methyl group has been investigated due to methyl torsion. The difference of the values determined for the barrier heights in the ground and first excited state of the synclinal form is discussed by an approximate treatment of the coupling of CH3 and C - C torsional motions. As high J transitions were measured a cen

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Berlioz, A., J. Der Hagopian, R. Dufour, and E. Draoui. "Dynamic Behavior of a Drill-String: Experimental Investigation of Lateral Instabilities." Journal of Vibration and Acoustics 118, no. 3 (1996): 292–98. http://dx.doi.org/10.1115/1.2888180.

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This paper focuses on laboratory tests concerned with the lateral behavior of a rod representative of part of a drill-string in the area of rotary oil drilling. The original experimental set-up takes into account the curvature of the rod, mud, stabilizers and rotation speed. The lateral behavior of the drill-string subjected to the axial excitations of the bit is governed by time varying parameter equations due to torsion-lateral and longitudinal-lateral couplings. The experimental results highlight the different kinds of lateral instabilities and they are compared either with existing experim

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Cong, Linxiao, Jianchao Mu, Qian Liu, et al. "Thermal Noise Decoupling of Micro-Newton Thrust Measured in a Torsion Balance." Symmetry 13, no. 8 (2021): 1357. http://dx.doi.org/10.3390/sym13081357.

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The space gravitational wave detection and drag free control requires the micro-thruster to have ultra-low thrust noise within 0.1 mHz–0.1 Hz, which brings a great challenge to calibration on the ground because it is impossible to shield any spurious couplings due to the asymmetry of torsion balance. Most thrusters dissipate heat during the test, making the rotation axis tilt and components undergo thermal drift, which is hysteretic and asymmetric for micro-Newton thrust measurement. With reference to LISA’s research and coming up with ideas inspired from proportional-integral-derivative (PID)

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Zdero, Rad, Alison J. McConnell, Christopher Peskun, Khalid A. Syed, and Emil H. Schemitsch. "Biomechanical Measurements of Torsion-Tension Coupling in Human Cadaveric Femurs." Journal of Biomechanical Engineering 133, no. 1 (2010). http://dx.doi.org/10.1115/1.4002937.

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The mechanical behavior of human femurs has been described in the literature with regard to torsion and tension but only as independent measurements. However, in this study, human femurs were subjected to torsion to determine if a simultaneous axial tensile load was generated. Fresh frozen human femurs (n=25) were harvested and stripped of soft tissue. Each femur was mounted rigidly in a specially designed test jig and remained at a fixed axial length during all experiments. Femurs were subjected to external and internal rotation applied at a constant angulation rate of 0.1 deg/s to a maximum

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Cooley, Christopher G., and Robert G. Parker. "Vibration of Spinning Cantilever Beams With an Attached Rigid Body Undergoing Bending-Bending-Torsional-Axial Motions." Journal of Applied Mechanics 81, no. 5 (2013). http://dx.doi.org/10.1115/1.4025791.

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A linear model for the bending-bending-torsional-axial vibration of a spinning cantilever beam with a rigid body attached at its free end is derived using Hamilton's principle. The rotation axis is perpendicular to the beam (as for a helicopter blade, for example). The equations split into two uncoupled groups: coupled bending in the direction of the rotation axis with torsional motions and coupled bending in the plane of rotation with axial motions. Comparisons are made to existing models in the literature and some models are corrected. The practically important first case is examined in deta

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Минасян, М. А., Ц. Цзэн, and А. М. Минасян. "Method for calculating the «mamsar+a» coupling with rope-core elements." MORSKIE INTELLEKTUAL`NYE TEHNOLOGII, no. 3(49) (August 13, 2020). http://dx.doi.org/10.37220/mit.2020.49.3.016.

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Цель представленной статьи – ознакомление читателей с оригинальной методикой расчета канатностержневой муфты «MAMSAR+A». Методика расчета канатностержневой муфты рассматривается применительно к экспериментальному дизель-генераторному агрегату мощностью 9,56 кВт при частоте вращения 1500 мин-1с дизелем 2Ч8,5/11 и генератором «КГ-5,6». Расчетная рабочая длина канатных стержней 90 мм, диаметр каната 12 мм с шестью одинаковыми прядями. Максимальный угол закручивания канатностержневой муфты принят 30°. Задача состоит в выводе уточненной зависимости угла закручивания от величины крутящего момента на

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