Добірка наукової літератури з теми "Toroidal rings"

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Статті в журналах з теми "Toroidal rings"

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Ley Koo, E., H. Torres-Bustamante, and A. Góngora T. "Spherical symmetry breaking in electric, magnetic and toroidal multipole moment radiations in spherical toroidal resonant cavities and optimum-efficiency antennas." Revista Mexicana de Física 67, no. 2 Mar-Apr (July 15, 2021): 174–79. http://dx.doi.org/10.31349/revmexfis.67.174.

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This Letter reports the breaking of the spherical symmetry in the complete electromagnetic multipole expansion when its sources are distributed on spherical toroidal surfaces, identifying the specic geometrical and physical changes fromthe familiar case of sources on a spherical surface. In fact, for spherical toroids dened by concentric spherical rings and symmetric conical rings, the boundary conditions at the latter are not compatible in general with integer values for the orbital angular momentum label of the multipole moments: the polar angle eigenfunctions become Legendre functions of order λ and associativity m represented as innite series with a denite parity, and their complementary associated radial functions are spherical Bessel functions of the same order λ. Consequently, the corresponding multipole sources for the electric, magnetic and toroidal moments and their connections are identied within the Debye formalism, and theappropriate outgoing wave Green functions are constructed in the new basis of eigenfunctions of the Helmholtz equation. Our familiarity with the exact solutions, for the cases of the complete sphere and of cylindrical toroids, allow us to give a preliminary account of the electromagnetic elds for the spherical toroids via the integration of their sources and the Green function for resonant cavities and optimum effciency antennas.
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Hingorani, Manju M., and Mike O'Donnell. "Toroidal proteins: Running rings around DNA." Current Biology 8, no. 3 (January 1998): R83—R86. http://dx.doi.org/10.1016/s0960-9822(98)70052-1.

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Dikpati, Mausumi, Aimee A. Norton, Scott W. McIntosh, and Peter A. Gilman. "Dynamical Splitting of Spot-producing Magnetic Rings in a Nonlinear Shallow-water Model." Astrophysical Journal 922, no. 1 (November 1, 2021): 46. http://dx.doi.org/10.3847/1538-4357/ac1359.

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Abstract We explore the fundamental physics of narrow toroidal rings during their nonlinear magnetohydrodynamic evolution at tachocline depths. Using a shallow-water model, we simulate the nonlinear evolution of spot-producing toroidal rings of 6° latitudinal width and a peak field of 15 kG. We find that the rings split; the split time depends on the latitude of each ring. Ring splitting occurs fastest, within a few weeks, at latitudes 20°–25°. Rossby waves work as perturbations to drive the instability of spot-producing toroidal rings; the ring split is caused by the “mixed stress” or cross-correlations of perturbation velocities and magnetic fields, which carry magnetic energy and flux from the ring peak to its shoulders, leading to the ring split. The two split rings migrate away from each other, the high-latitude counterpart slipping poleward faster due to migrating mixed stress and magnetic curvature stress. Broader toroidal bands do not split. Much stronger rings, despite being narrow, do not split due to rigidity from stronger magnetic fields within the ring. Magnetogram analysis indicates the emergence of active regions sometimes at the same longitudes but separated in latitude by 20° or more, which could be evidence of active regions emerging from split rings, which consistently contribute to observed high-latitude excursions of butterfly wings during the ascending, peak, and descending phases of a solar cycle. Observational studies in the future can determine how often new spots are found at higher latitudes than their lower-latitude counterparts and how the combinations influence solar eruptions and space weather events.
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Abad, M., M. Guilleumas, R. Mayol, and M. Pi. "Vortex rings in toroidal Bose-Einstein condensates." Laser Physics 18, no. 5 (May 2008): 648–52. http://dx.doi.org/10.1134/s1054660x08050162.

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Selvakumar, Krishnan, and Manoharan Subajini. "Classification of rings with toroidal Jacobson graph." Czechoslovak Mathematical Journal 66, no. 2 (June 2016): 307–16. http://dx.doi.org/10.1007/s10587-016-0257-y.

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Wu, Chunyan, Chunhua Hu, and Yuzhou Liu. "Hyperbranched polysiloxane with highly constrained rings and the effect of the attached arms on the assembly behavior." Polymer Chemistry 8, no. 42 (2017): 6490–95. http://dx.doi.org/10.1039/c7py01177f.

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Baniodeh, Amer, Nicola Magnani, Stefan Bräse, Christopher E. Anson, and Annie K. Powell. "Ligand field variations: tuning the toroidal moment of Dy6 rings." Dalton Transactions 44, no. 14 (2015): 6343–47. http://dx.doi.org/10.1039/c5dt00237k.

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Sanchez del Rio, Manuel, Kenneth A. Goldberg, Valeriy V. Yashchuk, Ian Lacey, and Howard A. Padmore. "Simulations of applications using diaboloid mirrors." Journal of Synchrotron Radiation 28, no. 4 (June 1, 2021): 1041–49. http://dx.doi.org/10.1107/s160057752100401x.

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The diaboloid is a reflecting surface that converts a spherical wave to a cylindrical wave. This complex surface may find application in new Advanced Light Source bending-magnet beamlines or in other beamlines that now use toroidal optics for astigmatic focusing. Here, the numerical implementation of diaboloid mirrors is described, and the benefit of this mirror in beamlines exploiting diffraction-limited storage rings is studied by ray tracing. The use of diaboloids becomes especially interesting for the new low-emittance storage rings because the reduction of aberration becomes essential for such small sources. The validity of the toroidal and other mirror surfaces approximating the diaboloid, and the effect of the mirror magnification, are discussed.
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Cherkasova, O. A., A. A. Skripkin, and S. A. Cherkasova. "Computer Simulation of a Radial Contactless Magnetic Suspension on a Permanent Magnet System." Vestnik Tambovskogo gosudarstvennogo tehnicheskogo universiteta 27, no. 4 (2021): 543–54. http://dx.doi.org/10.17277/vestnik.2021.04.pp.543-554.

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The distributions of magnetic induction and magnetic field strength are obtained. It was found that with a parallel arrangement of toroidal rings of elliptical cross-section in a magnetic suspension, the magnetic induction is 1.7 times higher than with a perpendicular arrangement of the same rings. The calculation of the ponderomotive and magnetomotive forces between two toroidal annular permanent magnets with a radial magnetization of an elliptical section in a contactless magnetic suspension system is carried out. Quasi-elastic stiffness coefficients and static load capacity were calculated for both models. It is shown that the rigidity of the suspension decreases monotonically with a decrease in the size of the gap, regardless of the model.
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Kalaimurugan, G., P. Vignesh, and T. Tamizh Chelvam. "On zero-divisor graphs of commutative rings without identity." Journal of Algebra and Its Applications 19, no. 12 (December 5, 2019): 2050226. http://dx.doi.org/10.1142/s0219498820502266.

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Let [Formula: see text] be a finite commutative ring without identity. In this paper, we characterize all finite commutative rings without identity, whose zero-divisor graphs are unicyclic, claw-free and tree. Also, we obtain all finite commutative rings without identity and of cube-free order for which the corresponding zero-divisor graph is toroidal.
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Дисертації з теми "Toroidal rings"

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Harris, Ashley M. "Acoustic properties of toroidal bubbles and construction of a large apparatus." Thesis, Monterey, California. Naval Postgraduate School, 2004. http://hdl.handle.net/10945/1675.

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Approved for public release, distribution is unlimited
When a burst of air is produced in water, the result can be a toroidal bubble. This thesis is concerned with experimental investigations of three acoustical properties of toroidal bubbles: (i) propagation through high-intensity noise, (ii) emission, and (iii) scattering. In (i), an attempt to observe a recent prediction of the acoustic drag on a bubble is described, which is analogous to the Einstein-Hopf effect for an oscillating electric dipole in a fluctuating electromagnetic field. No effect was observed, which may be due to insufficient amplitude of the noise. In (ii), observations of acoustic emissions of volume oscillations of toroidal bubbles are reported. Surprisingly, the emission occurs primarily during the formation of a bubble, and is weak in the case of very smooth toroidal bubbles. In (iii), we describe an experiment to observe the effect of a toroidal bubble on an incident sound field. In addition to the acoustical investigations, we describe the construction of a large hallway apparatus for further investigations and for hands-on use by the public. The tank has cross section 2 feet by 2 feet and height 6 feet, and the parameters of reservoir pressure and time between air bursts are adjustable by the observer.
Lieutenant, United States Navy
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McKinley, Arnold. "The physics and mathematical theory of nano-scaled ring resonators and loop antennas." Phd thesis, 2014. http://hdl.handle.net/1885/12369.

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This thesis is based on the realisation that no analytical theory of loop antennas and rings exists that is at once applicable to the Radio Frequency (RF), Micro-wave (MW), TeraHertz (THz), Infra-red (IR), and Optical (OR) regions. Nor is there any Electrical Engineering circuit model, rigorously developed from the results of that theory, that generates results which match numerical simulations and experimental work in the literature across all of these regimes. This thesis fills that gap. Maxwell’s equations for perfectly conducting, closed circular loops are presented, and then solved, using standard RF andMWantenna theory. The governing equation is then extended to include real, lossy metals with focus on the noble metals, gold, silver and copper. The solution to the extended equation yields results for rings in the THZ, IR and OR. Next, the governing equation is extended to include a single impedance on the periphery. The solution is studied using a capacitive reactance, in particular. These results are compared to simulations of illuminated rings with a single gap, and a relationship is developed between the width of the gap and its capacitive reactance. Primary results are these: * An analytical set of mathematical functions derived from Maxwell’s equations now exist that give the current distribution on closed and single gapped loops at all frequency regimes from the RF through OR, constructed of any metal for which the index of refraction is known. * A detailed RLC circuit model has been derived from these functions, accurate at all frequency bands, from which the total R, L and C of the loop at any frequency or wavelength, and the R, L and C of any modal resonance, can be calculated. The model yields the functions R(w), L(w), C(w) from which radiation resistance, power loss, radiation efficiency, radar cross-section, and the quality factor (Q) of any resonance can be calculated. * The input impedance of the circuit model representing the loop can be calculated as a function of wavelength for closed loops and single gap loops. * The introduction of a single gap in the periphery of a loop will cause a very high-Q resonance in the sub-wavelength region. This is due to the zero-order mode inductance of the loop resonating with a combination of the gap capacitance and the closed loop capacitance. The Q is on the order of several thousand. * Gap width and capacitance value of the gap are closely related. However, none of the simple models suggested in the literature, such as the flat-plate capacitance model, generates the correct relationship, at least for gaps in rings.
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Thoraval, Marie-Jean. "Drop impact splashing and air entrapment." Diss., 2013. http://hdl.handle.net/10754/293818.

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Drop impact is a canonical problem in fluid mechanics, with numerous applications in industrial as well as natural phenomena. The extremely simple initial configuration of the experiment can produce a very large variety of fast and complex dynamics. Scientific progress was made in parallel with major improvements in imaging and computational technologies. Most recently, high-speed imaging video cameras have opened the exploration of new phenomena occurring at the micro-second scale, and parallel computing allowed realistic direct numerical simulations of drop impacts. We combine these tools to bring a new understanding of two fundamental aspects of drop impacts: splashing and air entrapment. The early dynamics of a drop impacting on a liquid pool at high velocity produces an ejecta sheet, emerging horizontally in the neck between the drop and the pool. We show how the interaction of this thin liquid sheet with the air, the drop or the pool, can produce micro-droplets and bubble rings. Then we detail how the breakup of the air film stretched between the drop and the pool for lower impact velocities can produce a myriad of micro-bubbles.
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Книги з теми "Toroidal rings"

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Neher, Erhard. Geometric representation theory and extended affine Lie algebras. Providence, R.I: American Mathematical Society, 2011.

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India) International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory (2010 Bangalore. Recent developments in algebraic and combinatorial aspects of representation theory: International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, August 12-16, 2010, National Institute of Advanced Studies, Bangalore, India : Conference on Algebraic and Combinatorial Approaches to Representation Theory, May 18-20, 2012, University of California, Riverside, CA. Edited by Chari, Vyjayanthi, editor of compilation and Conference on Algebraic and Combinatorial Approaches to Representation Theory (2012 : Riverside, Calif.). Providence, Rhode Island: American Mathematical Society, 2013.

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Geometric representation theory and extended affine Lie algebras. Providence, R.I: American Mathematical Society, 2011.

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4

Misra, Kailash C., Milen Yakimov, Pramod N. Achar, and Dijana Jakelic. Recent advances in representation theory, quantum groups, algebraic geometry, and related topics: AMS special sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry, October 13-14, 2012, Tulane University, New Orleans, Louisiana. Providence, Rhode Island: American Mathematical Society, 2014.

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Lie algebras, lie superalgebras, vertex algebras, and related topics: Southeastern Lie Theory Workshop Series 2012-2014 : Categorification of Quantum Groups and Representation Theory, April 21-22, 2012, North Carolina State University : Lie Algebras, Vertex Algebras, Integrable Systems and Applications, December 16-18, 2012, College of Charleston : Noncommutative Algebraic Geometry and Representation Theory, May 10-12, 2013, Louisiana State Vniversity : Representation Theory of Lie Algebras and Lie Superalgebras, May 16-17, 2014, University of Georgia. Providence, Rhode Island: American Mathematical Society, 2016.

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Southeastern Lie Theory Workshop on Combinatorial Lie Theory and Applications (2009 : North Carolina State University), Southeastern Lie Theory Conference on Homological Methods in Representation Theory (2010 : University of Georgia), and Southeastern Lie Theory Workshop: Finite and Algebraic Groups (2011 : University of Virginia), eds. Recent developments in Lie algebras, groups, and representation theory: 2009-2011 Southeastern Lie Theory Workshop series : Combinatorial Lie Theory and Applications, October 9-11, 2009, North Carolina State University : Homological Methods in Representation Theory, May 22-24, 2010, University of Georgia : Finite and Algebraic Groups, June 1-4, 2011, University of Virginia. Providence, Rhode Island: American Mathematical Society, 2012.

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Alladi, Krishnaswami, Frank Garvan, and Ae Ja Yee. Ramanujan 125: International conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5--7, 2012, University of Florida, Gainesville, Florida. Providence, Rhode Island: American Mathematical Society, 2014.

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Частини книг з теми "Toroidal rings"

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"A study on structural characteristics of the ring-stiffened circular toroidal shells." In Analysis and Design of Marine Structures, 101–6. CRC Press, 2009. http://dx.doi.org/10.1201/9780203874981-16.

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Wan, Zheng-Quan, Qing-Hai Du, and Wei-Cheng Cui. "A study on structural characteristics of the ring-stiffened circular toroidal shells." In Analysis and Design of Marine Structures, 77–81. CRC Press, 2009. http://dx.doi.org/10.1201/9780203874981.ch8.

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Тези доповідей конференцій з теми "Toroidal rings"

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Lovelace, R. V. E. "Stability of large orbit, high-current particle rings." In Physics of high energy particles in toroidal systems. AIP, 1994. http://dx.doi.org/10.1063/1.46556.

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Orekhov, Viktor, Mark Yim, and Dennis Hong. "Mechanics of a Fluid Filled Everting Toroidal Robot for Propulsion and Going Through a Hole." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29053.

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Whole Skin Locomotion (WSL) is an amoeba inspired locomotion mechanism for mobile robots in which an elongated torus turns itself inside out in a single continuous motion. Since the entire surface is used as a traction surface, WSL has the potential to traverse highly unstructured terrain, and when filled with fluid with an elastic membrane skin, it has the potential to squeeze through holes smaller than its nominal diameter. Previous work has investigated the mechanics of a concentric solid tube (CST) model in which motion is generated by expanding and contracting actuator rings pushing and pulling the membrane around a solid inner tube. In this paper, we present the mechanics of a fluid filled toroid (FFT) model which replaces the solid inner tube with incompressible fluid. Locomotion using contracting ring actuation is described for the FFT model and compared to the CST model. A novel actuation scheme which exploits the chemo-mechanics of soft polymeric elastic skin is also introduced to elicit useful locomotive behavior. Chemically induced swelling in polymeric skin is demonstrated to be a viable propulsion mechanism for a toroidal membrane under pressure. Finally, preliminary analysis is presented for finding forces required for a WSL robot to squeeze through a hole of a given depth and diameter to investigate the feasibility of using contracting ring actuation and chemically induced swelling for hole traversal.
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Huang, Yao-Wei, Wei Ting Chen, Pin Chieh Wu, Yuan-Fong Chau, Din Ping Tsai, Vassili A. Fedotov, Vassili Savinov, and Nikolay I. Zheludev. "Plasmonic Toroidal Response of four U-shaped resonant rings at Optical Frequencies." In Frontiers in Optics. Washington, D.C.: OSA, 2011. http://dx.doi.org/10.1364/fio.2011.jtua37a.

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Wang, Shuang, Xiaoli Zhao, Jianyu Zhu, Song Wang, Gati Nashon, and Quan Li. "Toroidal dipole resonances based on four U-shape rings metamaterials in the terahertz regime." In International Symposium on Ultrafast Phenomena and Terahertz Waves. Washington, D.C.: OSA, 2018. http://dx.doi.org/10.1364/isuptw.2018.wi30.

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Li, Tianyi, Aravinda Kar, and Ranganathan Kumar. "Uniform and Gaussian UV Light Intensity Distribution on Droplet for Selective Area Deposition of Particles." In ASME 2020 Fluids Engineering Division Summer Meeting collocated with the ASME 2020 Heat Transfer Summer Conference and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/fedsm2020-20464.

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Abstract Particle transport through Marangoni convection inside a sessile droplet can be controlled by the UV light distribution on the surface. The photosensitive solution changes the surface tension gradient on the droplet surface and can induce clockwise and counter-clockwise circulations depending on the incident light distribution. In this paper, the stream function in the sessile drop has been evaluated in toroidal coordinates by solving the biharmonic equation. Multiple primary clockwise and counter-clockwise circulations are observed in the droplet under various concentric UV light profiles. The downward dividing streamlines are expected to deposit the particles on the substrate, thus matching the number of deposited rings on the substrate with the number of UV light rings. Moffatt eddies appear near the contact line or centerline of the droplet either due to a sharp change in the UV light profile or because the illuminated region is away from them.
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Chen, Qingguang, Zhong Xu, Yulin Wu, and Yongjian Zhang. "Three-Dimensional Simulation of Turbulent Rectangular and Square Impinging Jet Flows." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56131.

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Flow characteristics of turbulent impinging jets issuing, respectively, from a rectangular and a square nozzles have been investigated numerically through the solution of three-dimensional Navier-Strokes equations in steady state. Two geometries with two nozzle-to-plate spacings of four and eight times of hydraulic diameters of the jet pipes, and two Reynolds numbers of 20000 and 30000 have been considered with fully developed inlet boundary conditions. An RNG based k–ε turbulence model and a deferred correction QUICK scheme in conjunction with the wall function method have been applied to the prediction of the flow fields within semi-confined spaces. A common feature revealed by the computational results is the presence of a toroidal recirculation zone around the jet. An adverse pressure gradient is found at the impingement surface downstream the stagnation point. Boundary layer separation will occur if the gradient is strong enough, and the separation manifests itself as a secondary recirculation zone at the surface. In addition, three-dimensional simulations reveal the existence of two and four pronounced streamwise velocity off-center peaks at the cross-planes near to the impingement plate, respectively, in the rectangular and square impinging jet flows. These peaks are found forming at the horizontal planes where the wall jets start forming accompanied by two or four pairs of counter-rotating vortex rings. It is believed that the formation of the off-center velocity peaks is due to the vorticity diffusion along the wall jet as the jet impinges on the target plate.
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Sudan, R. N. "Injection, trapping, compression and acceleration of a field-reversed ion ring." In Physics of high energy particles in toroidal systems. AIP, 1994. http://dx.doi.org/10.1063/1.46561.

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Du, Qing-Hai, Wei-Cheng Cui, and Zheng-Quan Wan. "Nonlinear Finite Element Analysis of a Toroidal Shell With Ring-Stiffened Ribs." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-21088.

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The toroidal shell is a special type of shells of revolution, which is hardly solved by analytical method. To show the nonlinear structural characteristics of a circular toroidal shell with ring-stiffened ribs due to external pressure, both material nonlinear and geometric nonlinear Finite Element Analyses (FEA) have been presented in this paper, especially for the stability to the type of pressure hull. In the presented Finite Element Method (FEM), the elastic-plastic stress-strain relations have been adopted, and the initial deflection of toroidal shell created by manufacture was also taken into account. The analytic results eventually indicate that by nonlinear FEA such a new type of ring-stiffened circular toroidal shell could be used to a main pressure hull as the traditional ring-stiffened circular cylindrical shell, which could obtain kinds of performance in underwater engineering, such as better stability and more reserve buoyancy to the classical ring-stiffened cylindrical shell.
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Mallick, Soumyajyoti, Nitin Chourasia, Rakesh Singh, and Dibakar Roy Chowdhury. "‘All’ Bright Toroidal Metasurface." In CLEO: QELS_Fundamental Science. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/cleo_qels.2022.fm1b.4.

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Lubis, Asnawi, and Ahmad Su’udi. "Ring stability of underground toroidal tanks." In GREEN PROCESS, MATERIAL, AND ENERGY: A SUSTAINABLE SOLUTION FOR CLIMATE CHANGE: Proceedings of the 3rd International Conference on Engineering, Technology, and Industrial Application (ICETIA 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4985499.

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