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Relevant bibliographies by topics / Rotation motion – Dynamics

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Academic literature on the topic 'Rotation motion – Dynamics'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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Journal articles on the topic "Rotation motion – Dynamics"

1

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 (April 1, 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 axis of torsional head rotation, and therefore may translate horizontally during the head motion, so the VOR rotates them horizontally to compensate. Torsional gain was lower than horizontal or vertical, more variable from subject to subject and decreased at low frequencies. One reason for the low gain may be that torsional head rotation produces little retinal slip near the fovea; hence little compensatory eye motion is needed, and so the VOR reduces its torsional gain to save energy or to approximate Listing's law by keeping ocular torsion near zero. In addition, the human VOR has little experience with purely torsional head rotations and so its adaptive networks may be poorly trained for such stimuli. The drop in torsional gain at low frequencies can be explained based on the leak in the neural integrator that helps convert torsional eye-velocity commands into eye-position commands.

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Banerjee, A. K., and M. E. Lemak. "Multi-Flexible Body Dynamics Capturing Motion-Induced Stiffness." Journal of Applied Mechanics 58, no. 3 (September 1, 1991): 766–75. http://dx.doi.org/10.1115/1.2897262.

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This paper presents a multi-flexible-body dynamics formulation incorporating a recently developed theory for capturing motion-induced stiffness for an arbitrary structure undergoing large rotation and translation accompanied by small vibrations. In essence, the method consists of correcting dynamical equations for an arbitrary flexible body, unavoidably linearized prematurely in modal coordinates, with generalized active forces due to geometric stiffness corresponding to a system of 12 inertia forces and 9 inertia couples distributed over the body. Computation of geometric stiffness in this way does not require any iterative update. Equations of motion are derived by means of Kane’s method. A treatment is given for handling prescribed motions and calculating interaction forces. Results of simulations of motions of three flexible spacecraft, involving stiffening during spinup motion, dynamic buckling, and a slewing maneuver, demonstrate the validity and generality of the theory.

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Bubenchikov, M. A., A. M. Bubenchikov, and D. V. Mamontov. "ROTATIONS AND VIBRATIONS OF FULLERENES IN THE MOLECULAR COMPLEX C20@C80." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 71 (2021): 35–48. http://dx.doi.org/10.17223/19988621/71/4.

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The aim of this work is to apply classical mechanics to a description of the dynamic state of C20@C80 diamond complex. Endohedral rotations of fullerenes are of great interest due to the ability of the materials created on the basis of onion complexes to accumulate energy at rotational degrees of freedom. For such systems, a concept of temperature is not specified. In this paper, a closed description of the rotation of large molecules arranged in diamond shells is obtained in the framework of the classical approach. This description is used for C20@C80 diamond complex. Two different problems of molecular dynamics, distinguished by a fixing method for an outer shell of the considered bimolecular complex, are solved. In all the cases, the fullerene rotation frequency is calculated. Since a class of possible motions for a single carbon body (molecule) consists of rotations and translational displacements, the paper presents the equations determining each of these groups of motions. Dynamic equations for rotational motions of molecules are obtained employing the moment of momentum theorem for relative motions of the system near the fullerenes’ centers of mass. These equations specify the operation of the complex as a molecular pendulum. The equations of motion of the fullerenes’ centers of mass determine vibrations in the system, i.e. the operation of the complex as a molecular oscillator.

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McPhee, J. J., and R. N. Dubey. "Dynamics of Multibody Systems With Known Configuration Changes." Journal of Applied Mechanics 58, no. 1 (March 1, 1991): 215–21. http://dx.doi.org/10.1115/1.2897153.

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The equations of motion are derived for a system with inertial properties that are varying in time as a result of known relative motions between the rigid bodies comprising the system. This vector-dyadic formulation has been encoded into a computer program, making use of the conformal rotation vector for the representation of rotations. The numerical simulation of two different physical systems is presented in order to illustrate the dynamic effects of the changing inertial properties, and the usefulness of the encoded formulation for modeling these effects.

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Dais, Photis, and George Fainos. "Motional behavior of "asperlin" in solution. A 13C spin-lattice relaxation study." Canadian Journal of Chemistry 64, no. 3 (March 1, 1986): 560–65. http://dx.doi.org/10.1139/v86-090.

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l3C nuclear magnetic resonance spin-lattice relaxation times (T1) have been used to probe the motional behavior of 5-acetoxy-5,6-dihydro-6-(1,2-epoxypropyl)-2-pyrone ("asperlin") in dimethyl sulfoxide solution. This molecule offers structural features suited to a study of internal motions, i.e., epoxypropyl and methyl internal motions superimposed on an anisotropic overall reorientation. The rigidity of the pyrone ring and its semiplanar conformation result in an overall ellipsoidal shape, and hence the rotational dynamics of asperlin are adequately approximated by the diffusion of a prolate ellipsoid with the major axis passing through the C(2)—H(2) bond. The description of the internal motion of the epoxypropyl ring is strongly model dependent. Furthermore, the relaxation data for the oxirane ring carbons do not uniquely define a dynamic model. Due to similarities in the activation energies of the overall and internal motions, based on temperature-dependent measurements, it has not been feasible to interpret the relaxation data by a single type of motion. Internal rotation of the epoxymethyl substituent is rationalized by applying the stochastic diffusion model of multiple internal rotations

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EISENGA, A. H. M., R. VERZICCO, and G. J. F. VAN HEIJST. "Dynamics of a vortex ring moving perpendicularly to the axis of a rotating fluid." Journal of Fluid Mechanics 354 (January 10, 1998): 69–100. http://dx.doi.org/10.1017/s0022112097007702.

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The dynamics of a vortex ring moving orthogonally to the rotation vector of a uniformly rotating fluid is analysed by laboratory experiments and numerical simulations. In the rotating system the vortex ring describes a curved trajectory, turning in the opposite sense to the system's anti-clockwise rotation. This behaviour has been explained by using the analogy with the motion of a sphere in a rotating fluid for which Proudman (1916) computed the forces acting on the body surface. Measurements have revealed that the angular velocity of the vortex ring in its curved trajectory is opposite to the background rotation rate, so that the vortex has a fixed orientation in an inertial frame of reference and that the curvature increases proportionally to the rotation rate.The dynamics of the vorticity of the vortex ring is affected by the background rotation in such a way that the part of the vortex core in clockwise rotation shrinks while the anti-clockwise-rotating core part widens. By this opposite forcing on either side of the vortex core Kelvin waves are excited, travelling along the toroidal axis of the vortex ring, with a net mass flow which is responsible for the accumulation of passive scalars on the anti-clockwise-rotating core part. In addition, the curved motion of the vortex ring modifies its self-induced strain field, resulting in stripping of vorticity filaments at the front of the vortex ring from the anti-clockwise-rotating core part and at the rear from the core part in clockwise rotation. Vortex lines, being deflected by the main vortex ring due to induction of relative vorticity, are stretched by the local straining field and form a horizontally extending vortex pair behind the vortex ring. This vortex pair propagates by its self-induced motion towards the clockwise-rotating side of the vortex ring and thus contributes to the deformation of the ring core. The deflection of vortex lines from the main vortex ring persists during the whole motion and is responsible for the gradual erosion of the coherent toroidal structure of the initial vortex ring.

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Dong, Ruo-Yu, and Bing-Yang Cao. "Superhigh-speed unidirectional rotation of a carbon nanotube in a sheared fluid and its decoupled dynamics." RSC Advances 5, no. 108 (2015): 88719–24. http://dx.doi.org/10.1039/c5ra18901b.

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O’Reilly, O. M. "On the Computation of Relative Rotations and Geometric Phases in the Motions of Rigid Bodies." Journal of Applied Mechanics 64, no. 4 (December 1, 1997): 969–74. http://dx.doi.org/10.1115/1.2789008.

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In this paper, expressions are established for certain relative rotations which arise in motions of rigid bodies. A comparison of these results with existing relations for geometric phases in the motions of rigid bodies provides alternative expressions of, and computational methods for, the relative rotation. The computational aspects are illustrated using several examples from rigid-body dynamics: namely, the moment-free motion of a rigid body, rolling disks, and sliding disks.

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Banerjee, A. K., and T. R. Kane. "Dynamics of a Plate in Large Overall Motion." Journal of Applied Mechanics 56, no. 4 (December 1, 1989): 887–92. http://dx.doi.org/10.1115/1.3176187.

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Equations of motion are formulated for a thin elastic plate that is executing small motions relative to a reference frame undergoing large rigid body motions (three-dimensional rotation and translation) in a Newtonian reference frame. As an illustrative example, a spin-up maneuver for a simply-supported rectangular plate is examined, and the vibration modes of such a plate are used to show that the present theory captures the phenomenon of dynamic stiffening.

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Gozdźiewski, Krzysztof. "Rotational Dynamics of Janus and Epimetheus." International Astronomical Union Colloquium 165 (1997): 269–74. http://dx.doi.org/10.1017/s0252921100046662.

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AbstractWe investigate simplified models of flat rotational motion of the coorbital satellites of Saturn, Janus and Epimetheus. We try to verify the hypothesis of chaotic rotation of the moons, caused by gravitational interaction between them. The possibility of parametric resonance in the librations of Janus is also investigated.

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Dissertations / Theses on the topic "Rotation motion – Dynamics"

1

Budiman, Benny S. "Dynamics of an unbalanced ring spinning on a rough horizontal surface." Thesis, This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-11102009-020140/.

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Jayne, Allen A. "Inelastic rotation requirements of two-span continuous bridge girders." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file 7.08 Mb., p. 153, 2005. http://proquest.umi.com/pqdlink?did=1042538801&Fmt=7&clientId=8331&RQT=309&VName=PQD.

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Dawadi, Mahesh B. "Spectroscopy and Dynamics of Small Molecules with Large Amplitude Motion." University of Akron / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=akron1404824783.

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Ortiz, Luanna Gomez. "Identifying and addressing student difficulties with rotational dynamics /." Thesis, Connect to this title online; UW restricted, 2001. http://hdl.handle.net/1773/9659.

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Cowan, John D. "A billiard model for a gas of particles with rotation /." Thesis, Connect to Dissertations & Theses @ Tufts University, 2004.

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Thesis (Ph.D.)--Tufts University, 2004.
Adviser: Boris Hasselblatt. Submitted to the Dept. of Mathematics. Includes bibliographical references (leaves 61-62). Access restricted to members of the Tufts University community. Also available via the World Wide Web;

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Jonnalagadda, V. R. Prasad. "A derivation of rotor blade equations of motion in forward flight and their solution." Diss., Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/12963.

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Zhang, Qiang. "Ultrafast spin dynamics in half-metallic ferromagnetic thin film /." View online version; access limited to Brown University users, 2005. http://wwwlib.umi.com/dissertations/fullcit/3174709.

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Horton, Bryan. "Rotational motion of pendula systems for wave energy extraction." Thesis, Available from the University of Aberdeen Library and Historic Collections Digital Resources, 2009. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=25873.

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Fisk, Justin Paul. "Development and Validation of a Computational Musculoskeletal Model of the Elbow Joint." VCU Scholars Compass, 2007. http://hdl.handle.net/10156/2094.

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Cao, Yue. "Magnetic resonance studies of spin dynamics in conducting polymers /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487330761219724.

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Books on the topic "Rotation motion – Dynamics"

1

Hartnagel, Bryan A. Pier moment-rotation of compact and noncompact HPS70W I-girders. Fargo, N.D: Mountain-Plains Consortium, 2003.

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Spectroscopic techniques and hindered molecular motion. Boca Raton: CRC Press, 2012.

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Greenspan, Donald. Conservative motion of a discrete, nonsymmetric, hexahedral gyroscope. Arlington, Tex: University of Texas at Arlington, Dept. of Mathematics, 1997.

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Rimrott, F. P. J. Introductory Attitude Dynamics. New York, NY: Springer New York, 1989.

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Rimrott, F. P. J. Introductory attitude dynamics. Thornhill, Ont: Science Press, 1985.

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Introductory attitude dynamics. Berlin: Springer-Verlag, 1988.

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Rimrott, F. P. J. Introductory attitude dynamics. New York: Springer-Verlag, 1989.

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8

A, Storozhenko V., Temchenko M. E, and Klimov D. M, eds. Vrashchenie tverdogo tela na strune i smezhnye zadachi. Moskva: Nauka, 1991.

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Chelnokov, I︠U︡ N. Kvaternionnye modeli i metody dinamiki, navigat︠s︡ii i upravlenii︠a︡ dvizheniem. Moskva: Fizmatlit, 2011.

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Greenspan, Donald. Conservative motion of discrete, tetrahedral tops and gyroscopes. Arlington: Dept. of Mathematics, University of Texas at Arlington, 1996.

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Book chapters on the topic "Rotation motion – Dynamics"

1

Aldridge, Keith D., and W. H. Cannon. "A Search for Evidence of Short Period Polar Motion in VLBI and Supergravimetry Observations." In Dynamics of Earth's Deep Interior and Earth Rotation, 17–24. Washington, D. C.: American Geophysical Union, 2013. http://dx.doi.org/10.1029/gm072p0017.

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2

Matthews, Clifford. "Motion and Dynamics." In Engineers' Guide to Rotating Equipment, 65–70. Chichester, UK: John Wiley & Sons, Ltd, 2014. http://dx.doi.org/10.1002/9781118903100.ch3.

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Davies, Matthew A., and Tony L. Schmitz. "Transient Rotational Motion of Mechanical Systems." In System Dynamics for Mechanical Engineers, 123–63. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-9293-1_5.

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Szeto, Anthony M. K. "Inner Core Motions: Implications on Earth Rotation." In Dynamics of Earth's Deep Interior and Earth Rotation, 31–33. Washington, D. C.: American Geophysical Union, 2013. http://dx.doi.org/10.1029/gm072p0031.

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Davies, Matthew A., and Tony L. Schmitz. "Combined Rectilinear and Rotational Motions: Transmission Elements." In System Dynamics for Mechanical Engineers, 165–204. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-9293-1_6.

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Stille, W., and G. R. Strobl. "Dynamics of Rotational Motion in Liquid Crystalline Systems." In Disorder Effects on Relaxational Processes, 725–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-78576-4_26.

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Klioner, Sergei A., and Michael Soffel. "Rotational Motion of Celestial Bodies in the Relativistic Framework." In Impact of Modern Dynamics in Astronomy, 435–36. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4527-5_69.

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Klioner, Sergei A. "On the Problem of Post-Newtonian Rotational Motion." In Dynamics and Astrometry of Natural and Artificial Celestial Bodies, 383–90. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5534-2_54.

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Lauterbach, Reiner. "Heteroclinic Cycles and Fluid Motions in Rotating Spheres." In Dynamo and Dynamics, a Mathematical Challenge, 347–54. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0788-7_41.

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Forte, Alessandro M., Adam M. Dziewonski, and Robert L. Woodward. "Aspherical Structure of the Mantle, Tectonic Plate Motions, Nonhydrostatic Geoid, and Topography of the Core-Mantle Boundary." In Dynamics of Earth's Deep Interior and Earth Rotation, 135–66. Washington, D. C.: American Geophysical Union, 2013. http://dx.doi.org/10.1029/gm072p0135.

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Conference papers on the topic "Rotation motion – Dynamics"

1

Ghosh, S., and D. Roy. "A Family of Runge-Kutta Based Explicit Methods for Rotational Dynamics." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-41396.

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The present paper develops a family of explicit algorithms for rotational dynamics and presents their comparison with several existing methods. For rotational motion the configuration space is a non-linear manifold, not a Euclidean vector space. As a consequence the rotation vector and its time derivatives correspond to different tangent spaces of rotation manifold at different time instants. This renders the usual integration algorithms for Euclidean space inapplicable for rotation. In the present algorithms this problem is circumvented by relating the equation of motion to a particular tangent space. It has been accomplished with the help of already existing relation between rotation increments which belongs to two different tangent spaces. The suggested method could in principle make any integration algorithm on Euclidean space, applicable to rotation. However, the present paper is restricted only within explicit Runge-Kutta enabled to handle rotation. The algorithms developed here are explicit and hence computationally cheaper than implicit methods. Moreover, they appear to have much higher local accuracy and hence accurate in predicting any constants of motion for reasonably longer time. The numerical results for solutions as well as constants of motion, indicate superior performance by most of our algorithms, when compared to some of the currently known algorithms, namely ALGO-C1, STW, LIEMID[EA], MCG, SUBCYC-M.

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Peng, Tao, and Teik C. Lim. "Dynamics of Hypoid Gears With Emphasis on Effect of Shaft Rotation on Vibratory Response." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34025.

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The effect of large displacement rotational motion of the shafting system on the higher frequency, small displacement vibratory motion primarily excited by gear transmission error and variation of gear mesh stiffness is examined in this paper. Traditional hypoid gear dynamic analysis based on a pure vibration model assumes that the system perturbs about its mean position without coupling to the large displacement rotational motion. To improve on this approach and understanding of the influences of the dynamic interaction, a coupled multi-body dynamic and vibration simulation of the hypoid geared rotor system is performed. In the proposed formulation, a multi-degrees-of-freedom, multi-body hypoid geared rotor system dynamic model is developed to calculate the combined motion of the large displacement rotation of the shaft and small vibratory motion of the gear pair. The formulation may be generalized to other forms of gearing because hypoid gears have more complicated geometry and time-varying mesh characteristics when compared to parallel axis gears. Numerical simulation results are compared to those derived from the classical analytical method that only considers pure vibration effect. The proposed theory also provides new approaches to investigate both steady-state and transient geared rotor system dynamics.

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Huang, Yii-Mei, and Ming-Shang Lin. "On the Dynamics of a Beam Rotating at Nonconstant Speed." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0240.

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Abstract The response and its stability of a beam rotating at nonconstant angular speed are studied. The rotating speed is assumed to be the combination of a constant angular speed and a small periodic perturbation. The axial and flexural deformations due to rotation are considered simultaneously. Thus, the rotating team at nonconstant speed yields a set of parametric excited partial differential equations of motion. Extended Galerkin’s method is employed for obtaining the discrete equations of motion. Then, the solution and the its stability are found by using the method of multiple scale.

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Wasfy, Tamer. "Modeling Spatial Rigid Multibody Systems Using an Explicit-Time Integration Finite Element Solver and a Penalty Formulation." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57352.

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A new technique for modeling rigid bodies undergoing spatial motion using an explicit time-integration finite element code is presented. The key elements of the technique are: (a) use of the total rotation matrix relative to the inertial frame to measure the rotation of the rigid bodies; (b) time-integration of the rotational equations of motion in a body fixed (material) frame, with the resulting incremental rotations added to the total rotation matrix; (c) penalty formulation for creating connection points (virtual nodes which do not add extra degrees of freedom) on the rigid-body where joints can be placed. The use of the rotation matrix along with incremental rotation updates circumvents the problem of singularities associated with other types of three and four parameter rotation measures. Benchmark rigid multibody dynamics problems are solved to demonstrate the accuracy of the present technique.

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Yin, Xiuxing, Xiaofan Li, Vicky Boontanom, and Lei Zuo. "Mechanical Motion Rectifier Based Efficient Power Takeoff for Ocean Wave Energy Harvesting." In ASME 2017 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/dscc2017-5198.

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This paper proposes a novel mechanical-motion-rectifier (MMR) based power-takeoff (PTO) for ocean wave energy harvesting. The proposed PTO directly converts irregular oscillatory wave motion into regular unidirectional rotation of the generator. It is mainly composed of two ball screws, three bevel gears, two one-way clutches, and a generator. The two one-way clutches and the bevel gears change the bi-directional rotation of the two ball screws into unidirectional ration of the generator. The MMR rectifies the irregular reciprocating motion into unidirectional rotation; similar to the way the electric voltage rectifier regulates an AC voltage. The proposed PTO can be integrated into a heaving point wave energy converter (WEC). The dynamics and modelling of the PTO are presented. The frequency-domain dynamics of the WEC are then formulated for operating condition and control. The power generation capability of the proposed WEC has been evaluated in MATLAB and WAMIT. The simulation results demonstrate that the power generation capability can be improved by using the MMR method.

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Manhartsgruber, Bernhard. "The Dynamics of Leakage in Bent Axis Units Without Timing Gear." In BATH/ASME 2016 Symposium on Fluid Power and Motion Control. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/fpmc2016-1781.

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Bent axis hydraulic pumps and motors are extremely popular due to their high efficiency and large speed range. A number of different concepts exist with respect to kinematic restraints on the cylinder barrel motion. Some manufacturers rely upon a timing gear for precise synchronization of the shaft and barrel speeds while other companies have successfully introduced bent axis units without such a mechanism. The paper analyses the dynamics of bent axis machines with tapered pistons driving the cylinder barrel. A rotation of the pistons inside the corresponding bores is proposed to result in changing cylinder chamber to case drain leakages. The reported phenomenon is shown to have a significant effect on the low frequency part of pressure and flow pulsations. In this way, frequency components far below the fundamental frequency associated with the shaft revolution are generated.

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Gopakumar, Ramachandran, Rahul Belur Vishwanath, Jasmeet Singh, Ankit Dutta, and Swetaprovo Chaudhuri. "On the Dynamics of Instability Mitigation by Actuating Swirler Motion in a Lean Premixed Turbulent Combustor." In ASME 2017 Gas Turbine India Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gtindia2017-4710.

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In this paper, we present a novel initial attempt on analysis of the mitigation mechanism of instability by rotating the otherwise static swirler in a lean premixed, swirl stabilized, labscale combustor. It has been reported in our previous work that increasing the swirler rotation rate mitigates the self-excited thermoacoustic instability in a model lab-scale combustor, over a range of conditions. Here, it is found that for a given period of observation, instead of a continuous and gradual decrease in the time localized pressure amplitude from the fully unstable state towards the fully mitigated state, the fraction of the time during which instability is present is reduced. With increasing swirler rotation rates, the instability becomes more intermittent with progressive reduction in frequency of their occurrence. High speed PIV results are also presented along with simultaneous pressure signals which support this claim. Such an intermittent route to instability mitigation could be attributed to the background turbulent flow field and is reminiscent of the intermittent opposite transition (implemented by changing the Reynolds number) from a fully chaotic state to a fully unstable state as recently discovered in Nair, Thampi and Sujith [1]. An attempt is made to model the behavior of pressure oscillations using the well established mean-field Kuramoto model. The variation of the order parameter r, which is the parameter for the measurement of synchronization between the oscillators provides critical insights on the transition from the unstable, intermittent to stable states.

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Tsuchiya, Katsumi. "Dynamics of Bubble Motion and Gas-Liquid Interfacial Phenomena." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45676.

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Two aspects of the dynamics associated with oscillating bubbles are discussed in this paper: oscillatory motion of bubble itself and bubble-surface wave. The primary issue here is whether it is the case that the surface wave occurs in sychronization with the bubble’s oscillatory motion. The dynamic process of wave formation and propagation along the surface of an oscillating bubble is studied based on high-speed imaging, through which the wave characteristics such as wavelength and phase/propagation speed are evaluated as mostly the vertical projection of rather regularly generated bubble-surface ripples. The bubble oscillating motion is characterized quantitatively by the bubble-gyration (or edge-rotation) frequency, diameter and velocity. In addition, dynamics of mass transfer across gas–liquid interface in a gas-dispersed (continuous liquid) system are examined via high-sensitivity, high-speed imaging. The dispersive dynamics of the dissolved component from the gas into the liquid phase are visualized using laser-induced fluorescence (LIF) with pH-sensitive pyrene (HPTS) for both a single and multi-bubble systems. The coupling between these dynamics of surface/interfacial flow and mass transfer is attempted towards better understanding of such complex phenomena prevailing in the vicinity of the fluctuating gas–liquid interface. Enhancement of the mass transfer is found to be associated with the (nonlinear) wave formation, influence of which could be included in modeling the mass-transfer coefficient, apart from an physical account of the near-surface concentration gradient. Due to significant bubble–bubble interactions in a multi-bubble system, the dispersive pattern of low-pH region arising from gas dissolution becomes extremely complex; the visual estimate of time variation in fluorescence level is then mainly made over a fixed space in the gas–liquid flow system.

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Al-Bedoor, B. O., and Y. A. Khulief. "Dynamic Analysis of Mechanical Systems With Elastic Telescopic Members." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0274.

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Abstract A dynamic model for the vibrational motion of an elastic beam-like telescopic member is presented. In addition to translation, the elastic member is allowed to execute large reference rotation. The Lagrangian approach in conjunction with the assumed modes technique are employed in deriving the equations of motion. The developed model accounts for all the dynamic coupling terms, as well as the stiffening effect due to the beam reference rotation. The tip mass dynamics is included together with the associated dynamic coupling between the modal degrees of freedom. In addition, the devised dynamic model takes into account the gravitational effects, thus permitting motions in either vertical or horizontal planes. Numerical simulation of a mechanical system with an elastic telescopic member is presented.

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Maeda, Takao, Takeshi Ozaki, Shintaro Matsui, and Susumu Hara. "Simulation and Experimental Validation on Touchdown Dynamics of Lunar and Planetary Lander with Translation-Rotation Motion Converting Mechanism." In AIAA SPACE 2016. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-5354.

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