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Classical Physics papers — page 117

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Synchronization of a forced self-sustained Duffing oscillator
We study the dynamics of a mechanical oscillator with linear and cubic forces -the Duffing oscillator- subject to a feedback mechanism that allows the system to sustain autonomous periodic motion…
Damián H. Zanette, Sebastián I. ArroyoDec 10, 2014
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Fast and slow dynamics in a nonlinear elastic bar excited by longitudinal vibrations
Heterogeneous materials, such as rocks and concrete, have a complex dynamics including hysteresis, nonlinear elasticity and viscoelasticity. It is very sensitive to microstructural changes and…
Nicolas Favrie, Bruno Lombard, Cédric PayanDec 9, 2014
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Vertical dipole above a dielectric or metallic half-space - energy flow considerations
The emission pattern from a classical dipole located above and oriented perpendicular to a metallic or dielectric half space is calculated for a dipole driven at constant amplitude. This is a problem…
P. R. Berman, S. Zandbergen, G. KhitrovaDec 8, 2014
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Numerical investigation of acoustic solitons
Acoustic solitons can be obtained by considering the propagation of large amplitude sound waves across a set of Helmholtz resonators. The model proposed by Sugimoto and his coauthors has been…
Bruno Lombard, Jean-François Mercier, Olivier RichouxDec 5, 2014
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Stable Orbits of Rigid, Rotating, Precessing, Massive Rings
The dynamics of a rigid, rotating, precessing, massive ring orbiting a point mass within the perimeter of the ring are considered. It is demonstrated that orbits dynamically stable against…
Edward D. RippertDec 5, 2014
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Terminal retrograde turn of rolling rings
We report an unexpected reverse spiral turn in the final stage of the motion of rolling rings. It is well known that spinning disks rotate in the same direction of their initial spin until they stop.…
Mir Abbas Jalali, Milad S. Sarebangholi, Reza AlamDec 4, 2014
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The four particles paradox in special relativity
We present a novel paradox in special relativity together with its solution. We call it the four particles paradox. The purpose of this paradox is pedagogical and therefore directed towards students…
J. Manuel Garcia-IslasDec 2, 2014
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Boundary Conditions and Modes of the Vertically Hanging Chain
The hanging chain is a very instructive system for demonstrating more advanced methods and ideas for the analysis of normal modes of one-dimensional systems, beyond the standard ordinary (horizontal)…
Y. VerbinDec 1, 2014
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How a charge conserving alternative to Maxwells displacement current entails a Darwin like approximation to the solutions of Maxwells equations
Though sufficient for local conservation of charge, Maxwells displacement current is not necessary. An alternative to the Ampere-Maxwell equation is exhibited and the alternatives electric and…
Alan M. WolskyNov 27, 2014
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A truly elementary proof of Bertrand's theorem
An elementary proof of Bertrand's theorem is given by examining the radial orbit equation, without needing to solve complicated equations or integrals.
Siu A. ChinNov 25, 2014
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On the Functional Relation Between Quality Factor and Fractional Bandwidth
The functional relation between the fractional band-width and the quality factor of a radiating system is investigated in this note. Several widely used definitions of the quality factor are compared…
Miloslav Capek, Lukas Jelinek, Pavel HazdraNov 21, 2014
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Experiments on Maxwell's Fish-eye dynamics in elastic plates
We experimentally demonstrate that a Duraluminium thin plate with a thickness profile varying radially in a piecewise constant fashion as h(r)=h(0)(1+(r/Rmax)), with h(0)=0.5 mm, h(Rmax)=2 mm and…
Gautier Lefebvre, Marc Dubois, Romain Beauvais et al.Nov 21, 2014
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Resonance enhancement by suitably chosen frequency detuning
In this Letter we report new effects of resonance detuning on various dynamical parameters of a generic 3-wave system. Namely, for suitably chosen values of detuning the variation range of amplitudes…
Denys Dutykh, Elena TobischNov 20, 2014
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Modeling and Characterization of Charged Particle Trajectories in an Oscillating Magnetic Field
A constant magnetic field has frequently been discussed and has been known that it can cause a charged particle to form interesting trajectories such as cycloid and helix in presence of electric…
Dani Irawan, Sparisoma Viridi, Siti Nurul Khotimah et al.Nov 19, 2014
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A multilayered plate theory with transverse shear and normal warping functions
A multilayered plate theory which takes into account transverse shear and normal stretching is presented. The theory is based on a seven-unknowns kinematic field with five warping functions. Four…
A. LoredoNov 17, 2014
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Compatibility of Larmor's formula with radiation reaction for a radiating charge
It is shown that the well-known disparity in classical electrodynamics between the power losses calculated from the radiation reaction and that from Larmor's formula, is succinctly understood…
Ashok K. SingalNov 17, 2014
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Study on acoustic radiation impedance at aperture of a waveguide with circular cross section taking account of interaction between different guided modes
In this paper we simulated self- and mutual- acoustic impedances of guided modes at the aperture and estimated accuracy of the piston radiation approximation. We used the Rayleigh integral to…
Kyong-Su Won, Myong-Jin Kim, Song-Jin ImNov 17, 2014
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Determination of the Riemann modulus and sheet resistance of a sample with a hole by the van der Pauw method
The van der Pauw method for two-dimensional samples of arbitrary shape with an isolated hole is considered. Correlations between extreme values of the resistances allow one to determine the specific…
Krzysztof Szymański, Kamil Łapiński, Jan L. CieślińskiNov 13, 2014
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Third order equations of motion and the Ostrogradsky instability
It is known that any nondegenerate Lagrangian containing time derivative terms higher than first order suffers from the Ostrogradsky instability, pathological excitation of positive and negative…
Hayato Motohashi, Teruaki SuyamaNov 13, 2014
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Acoustic (Ultrasonic) Non-Diffracting Beams: Some theory, and Proposals of Acoustic Antennas for several purposes
On the basis of suitable theoretical grounds, we study and propose Antennas for the generation, in Acoustics, of Non-Diffracting Beams of ultrasound. We start considering for instance a frequency of…
Michel Zamboni-Rached, Erasmo RecamiNov 12, 2014
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Observation of a single-beam gradient force acoustical trap for elastic particles: acoustical tweezers
We demonstrate the trapping of elastic particles by the large gradient force of a single acoustical beam in three dimensions. Acoustical tweezers can push, pull and accurately control both the…
Diego Baresch, Jean-Louis Thomas, Régis MarchianoNov 7, 2014
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Unidirectional propagation of designer surface acoustic waves
We propose an efficient design route to generate unidirectional propagation of the designer surface acoustic waves. The whole system consists of a periodically corrugated rigid plate combining with a…
Jiuyang Lu, Chunyin Qiu, Manzhu Ke et al.Nov 7, 2014
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Compact Reflection-Type Phaser Using Quarter-Wavelength Transmission Line Resonators
A compact reflection-type phaser composed of quarter-wavelength transmission line resonators interconnected by alternating K- and J-inverters is proposed. A design method is also presented. To…
Weiwei Liao, Qingfeng Zhang, Yifan Chen et al.Nov 7, 2014
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Birth and Death in Lineland or A Purely Geometric model of Creation and Annihilation of Particles in Low Dimension
We consider a simple model of a one dimensional universe embedded in the Euclidean plane. In this model, a circle travelling at constant speed intersects the line in a pair of points which first…
T. Platini, R. LowNov 6, 2014
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Reestablishing Keplers first two laws for planets from the nonstationary Earth
The Earth itself is not stationary but keeps revolving, and its motion further satisfies the law of equal area according to the heliocentric doctrine. That satisfaction can be used to construct the…
W. Y. Hsiang, H. C. Chang, H. Yao et al.Nov 5, 2014
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