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Books on the topic 'Rotation motion – Dynamics'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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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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2

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

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3

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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4

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

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5

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

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6

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

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7

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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9

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

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10

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

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11

Junkins, John L. Optimal spacecraft rotational maneuvers. Amsterdam: Elsevier, 1986.

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12

Hongjun, Wang, ed. Da xing xuan zhuan ji xie yun xing zhuang tai qu shi yu ce. Beijing: Ke xue chu ban she, 2011.

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13

Bach, Ralph E. Direct inversion of rigid-body rotational dynamics. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1990.

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14

Hoffmann, Sara. I spin. Minneapolis: Lerner Publications Co., 2013.

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15

Dvizhenie tverdogo tela v ėlektricheskikh i magnitnykh poli͡akh. Moskva: "Nauka," Glav. red. fiziko-matematicheskoĭ lit-ry, 1988.

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16

Bachmann, Hugo, and Walter Ammann. Vibrations in Structures. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 1987. http://dx.doi.org/10.2749/sed003e.

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<p>«Vibrations in Structures» concentrates on vibrations in structures as excited by human motion or machine operation. Man-induced vibrations may arise from walking, running, skipping, dancing, etc. They occur mostly in pedestrian structures, office buildings, gymnasia and sports halls, dancing and concert halls, stadia, etc. Existing publications treat by and large some isolated aspects of the problem; the present one attempts, for the first time, a systematic survey of man-induced vibrations. Machine-induced vibrations occur during the operation of all sorts of machinery and tools with rotating, oscillating or thrusting parts. The study concentrates rather on small and medium size machinery placed on floors of industrial buildings and creating a potential source of undesirable vibrations. The associated questions have rarely been tackled to date; they entail probiems similar to those of man-induced vibrations.</p> <p>The book is consciously intended to serve the practising structural engineer and not primarily the dynamic specialist. It should be noted that its aim is not to provide directions on how to perform comprehensive dynamic computations. Instead, it attempts the following:</p> <ol> <li>to show where dynamic problems could occur and where a word of caution is good advice;</li> <li>to further the understanding of the phenomena encountered as well as of the underlying principles;</li> <li>to impart the basic knowledge for assessing the dynamic behaviour of the structures or structural elements;</li> <li>to describe suitable measures, both preventive to be applied in the design stage and remedial in the case of rehabilitation.</li> </ol>

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17

Mann, Peter. Introductory Rotational Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0003.

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This chapter discusses the importance of circular motion and rotations, whose applications to chemical systems are plentiful. Circular motion is the book’s first example of a special case of motion using the laws developed in previous chapters. The chapter begins with the basic definitions of circular motion; as uniform rotation around a principle axis is much easier to consider, it is the focus of this chapter and is used to develop some key ideas. The chapter discusses angular displacement, angular velocity, angular momentum, torque, rigid bodies, orbital and spin momenta, inertia tensors and non-inertial frames and explores fictitious forces as well as transformations in rotating frames.

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18

Dürsteler, Max R., and Erika N. Lorincz. Stereo Rotation Standstill and Related Illusions. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780199794607.003.0106.

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When we fixate the center of a rotating three-dimensional structure, such as a physically rotating wheel made out of sectors, which stereo cues are encoded with a static random-dot “texture,” a rather striking global motion illusion occurs: the rotating three-dimensional wheel appears as standing still (stereo rotation standstill). Even when using a dynamic (flickering) random-dot texture, it is still impossible to gain a percept of smooth rotation. However, local motion can still be clearly perceived. When the random-dot texture “overlaying” the wheel is also rotating, the concealed wheel is perceived as rotating at the same velocity as the texture, regardless of its velocity (stereo rotation capture). Stereo complex motion standstill and capture is shown to occur for other categories of complex motions such as expanding, contracting, and spiraling motions thus providing evidence for a dominance of luminance inputs over stereo inputs for complex motion detectors in our visual system.

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19

Deruelle, Nathalie, and Jean-Philippe Uzan. Rotating systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0025.

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This chapter continues the discussion of the laws of relativistic dynamics for systems of point particles, beginning with the law of angular momentum conservation in collisions. It considers an ensemble of free particles each characterized by its (constant) momentum pa. The total momentum p = Σ‎apa does not depend on the inertial frame used, but the angular momentum will depend on the frame, because its definition involves radius vectors between an event reference point and points qa on the particle world lines. Furthermore, these are chosen to be simultaneous in a given frame. The chapter also formulates the equations of motion for particles possessing an internal rotation or ‘spin’.

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20

Atomistic Spin Dynamics: Foundations and Applications. Oxford University Press, 2017.

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21

Verron, Jacques, and Mikhail A. A. Sokolovskiy. Dynamics of Vortex Structures in a Stratified Rotating Fluid. Springer, 2016.

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22

Zeitlin, Vladimir. Getting Rid of Fast Waves: Slow Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0005.

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After analysis of general properties of horizontal motion in primitive equations and introduction of principal parameters, the key notion of geostrophic equilibrium is introduced. Quasi-geostrophic reductions of one- and two-layer rotating shallow-water models are obtained by a direct filtering of fast inertia–gravity waves through a choice of the time scale of motions of interest, and by asymptotic expansions in Rossby number. Properties of quasi-geostrophic models are established. It is shown that in the beta-plane approximations the models describe Rossby waves. The first idea of the classical baroclinic instability is given, and its relation to Rossby waves is explained. Modifications of quasi-geostrophic dynamics in the presence of coastal, topographic, and equatorial wave-guides are analysed. Emission of mountain Rossby waves by a flow over topography is demonstrated. The phenomena of Kelvin wave breaking, and of soliton formation by long equatorial and topographic Rossby waves due to nonlinear effects are explained.

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23

A computational procedure for large rotational motions in multibody dynamics. Boulder, Colo: Center for Space Structures, College of Engineering, University of Colorado, 1987.

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24

Power Mechanisms of Rotational and Cyclic Motions. Taylor & Francis Group, 2015.

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25

Klebanov, Boris M., and Morel Groper. Power Mechanisms of Rotational and Cyclic Motions. Taylor & Francis Group, 2015.

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26

Su, Wen-Chyi. Dynamic response of flexible rotating machines subjected to ground motions. 1994.

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27

A, Paielli Russell, and Ames Research Center, eds. Direct inversion of rigid-body rotational dynamics. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1990.

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28

Electron and Nuclear Spin Dynamics in Semiconductor Nanostructures. Oxford University Press, 2018.

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29

(Editor), Burkard Hillebrands, and Andre Thiaville (Editor), eds. Spin Dynamics in Confined Magnetic Structures III. Springer, 2006.

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30

Gurchenkov, Anatoly A., Vladimir I. Tsurkov, and Mikhail V. Nosov. Control of Fluid-Containing Rotating Rigid Bodies. Taylor & Francis Group, 2013.

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31

Gurchenkov, Anatoly A., Vladimir I. Tsurkov, and Mikhail V. Nosov. Control of Fluid-Containing Rotating Rigid Bodies. Taylor & Francis Group, 2013.

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32

Gurchenkov, Anatoly A., Vladimir I. Tsurkov, and Mikhail V. Nosov. Control of Fluid-Containing Rotating Rigid Bodies. Taylor & Francis Group, 2013.

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33

Gurchenkov, Anatoly A., Vladimir I. Tsurkov, and Mikhail V. Nosov. Control of Fluid-Containing Rotating Rigid Bodies. Taylor & Francis Group, 2013.

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34

Dynamics of Vortex Structures in a Stratified Rotating Fluid Atmospheric and Oceanographic Sciences Library. Springer International Publishing AG, 2013.

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35

Seven Tales of the Pendulum. Oxford University Press, 2017.

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36

Seven Tales Of The Pendulum. Oxford University Press, USA, 2011.

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37

Horing, Norman J. Morgenstern. Q. M. Pictures; Heisenberg Equation; Linear Response; Superoperators and Non-Markovian Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0003.

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Three fundamental and equivalent mathematical frameworks (“pictures”) in which quantum theory can be lodged are exhibited and their relations and relative advantages/disadvantages are discussed: (1) The Schrödinger picture considers the dynamical development of the overall system state vector as a function of time relative to a fixed complete set of time-independent basis eigenstates; (2) The Heisenberg picture (convenient for the use of Green’s functions) embeds the dynamical development of the system in a time-dependent counter-rotation of the complete set of basis eigenstates relative to the fixed, time-independent overall system state, so that the relation of the latter fixed system state to the counter-rotating basis eigenstates is identically the same in the Heisenberg picture as it is in the Schrödinger picture; (3) the Interaction Picture addresses the situation in which a Hamiltonian, H=H0+H1, involves a part H0 whose equations are relatively easy to solve and a more complicated part, H1, treated perturbatively. The Heisenberg equation of motion for operators is discussed, and is applied to annihilation and creation operators. The S-matrix, density matrix and von Neumann equation, along with superoperators and non-Markovian kinetic equations are also addressed (e.g. the intracollisional field effect).

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38

Control of Rotating Solid Bodies with Liquid. Taylor & Francis Group, 2013.

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39

Willems, P. Y. Gyrodynamics: Euromech 38 Colloquium Louvain-La-Neuve, Belgium, 3-5 September 1973. Springer, 2012.

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40

Simpson, Randall C. Long cables under steady ocean loads with coupled tension/torsion. 1987.

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41

Zeitlin, Vladimir. Rotating Shallow-Water model with Horizontal Density and/or Temperature Gradients. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0014.

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The derivation of rotating shallow-water equations by vertical averaging and columnar motion hypothesis is repeated without supposing horizontal homogeneity of density/potential temperature. The so-called thermal rotating shallow-water model arises as the result. The model turns to be equivalent to gas dynamics with a specific equation of state. It is shown that it possesses Hamiltonian structure and can be derived from a variational principle. Its solution at low Rossby numbers should obey the thermo-geostrophic equilibrium, replacing the standard geostrophic equilibrium. The wave spectrum of the model is analysed, and the appearance of a whole new class of vortex instabilities of convective type, resembling asymmetric centrifugal instability and leading to a strong mixing at nonlinear stage, is demonstrated.

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42

Yang, Yaguang. Spacecraft Modeling, Attitude Determination, and Control: Quaternion-Based Approach. Taylor & Francis Group, 2019.

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43

Yang, Yaguang. Spacecraft Modeling, Attitude Determination, and Control: Quaternion-Based Approach. Taylor & Francis Group, 2019.

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44

Spacecraft Modeling, Attitude Determination, and Control: Quaternion-Based Approach. Taylor & Francis Group, 2019.

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45

Yang, Yaguang. Spacecraft Modeling, Attitude Determination, and Control: Quaternion-Based Approach. Taylor & Francis Group, 2019.

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46

Saha, Prasenjit, and Paul A. Taylor. Schwarzschild’s Spacetime. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198816461.003.0003.

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The concept of a metric is motivated and introduced, along with the introduction of relativistic quantities of spacetime, proper time, and Einstein’s field equations. Geodesics are cast in basic form as a Hamiltonian dynamical problem, which readers are guided towards exploring numerically themselves. The specific case of the Schwarzschild metric is presented, which is applicable to space around non-rotating black holes, and orbital motion around such objects is contrasted with that of Newtonian systems. Some well-known formulas for black hole phenomena are derived, such as those for light deflection (also known as gravitational lensing) and the innermost stable orbit, and their consequences discussed.

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