Imperfections, impacts, and the singularity of Euler's diskThe motion of a rigid, spinning disk on a flat surface ends with a dissipation-induced finite-time singularity. The problem of finding the dominant energy absorption mechanism during the last phase…Tamás Baranyai, Péter L. Várkonyi·Jun 30, 2017SaveLearn
Einstein's accelerated reference systems and Fermi-Walker coordinatesWe show that the uniformly accelerated reference systems proposed by Einstein when introducing acceleration in the theory of relativity are Fermi-Walker coordinate systems. We then consider more…Josep Llosa·Jun 29, 2017SaveLearn
Towards N-mode parametric electromechanical resonancesThe ubiquity of parametric resonance is continually evident in the repeated experimental observations of this phenomenon in multiple physical systems. The elementary case of 2 mode parametric…Adarsh Ganesan, Cuong Do, Ashwin Seshia·Jun 28, 2017SaveLearn
Lorentz transformation of electromagnetic pulses derived from Hertz potentialsElectric and magnetic Hertz potentials are a formalism for obtaining solutions of Maxwell's equations from solutions of the inhomogeneous wave equation, with polarisation and magnetisation as the…Petar Andrejić·Jun 28, 2017SaveLearn
Particlelike scattering states in a microwave cavityWe realize scattering states in a lossy and chaotic two-dimensional microwave cavity which follow bundles of classical particle trajectories. To generate such particlelike scattering states we…Julian Böhm, Andre Brandstötter, Philipp Ambichl et al.·Jun 27, 2017SaveLearn
Variability response functions for statically determinate beams with arbitrary nonlinear constitutive lawsThe variability response function (VRF) is generalized to statically determinate Euler Bernoulli beams with arbitrary stress-strain laws following Cauchy elastic behavior. The VRF is a Green's…Amir Kazemi, Javad Payandehpeyman·Jun 25, 2017SaveLearn
Force and torque of a string on a pulleyEvery university introductory physics course considers the problem of Atwood's machine taking into account the mass of the pulley. In the usual treatment the tensions at the two ends of the…Thiago R. de Oliveira, Nivaldo A. Lemos·Jun 19, 2017SaveLearn
Effective gravity and effective quantum equations in a system inspired by walking droplets experimentsIn this paper we suggest a macroscopic toy system in which a potential-like energy is generated by a non-uniform pulsation of the medium (i.e. pulsation of transverse standing oscillations that the…Christian Borghesi·Jun 18, 2017SaveLearn
Problem On The Acoustic Cloak By 0 to R1 TransformationThe 0 to R1 radial spherical coordinate transformation method can be making electromagnetic (EM) invisible cloak. However the cloak by transformation optic has infinite speed and exceeding light…Jianhua Li, Feng Xie, Lee Xie et al.·Jun 17, 2017SaveLearn
Fractional Driven Damped OscillatorThe resonances associated with a fractional damped oscillator which is driven by an oscillatory external force are studied. It is shown that such resonances can be manipulated by tuning up either the…Fernando Olivar-Romero, Oscar Rosas-Ortiz·Jun 15, 2017SaveLearn
Motion of a thin elliptic plate under symmetric and asymmetric orthotropic friction forcesAnisotropy of friction force is proved to be an important factor in various contact problems. We study dynamical behavior of thin plates with respect to symmetric and asymmetric orthotropic friction.…O. A. Silantyeva, N. N. Dmitriev·Jun 14, 2017SaveLearn
Restrictions on wave equations for passive mediaMost derivations of acoustic wave equations involve ensuring that causality is satisfied. Here we explore the consequences of also requiring that the medium should be passive. This is a stricter…Sverre Holm, Martin Blomhoff Holm·Jun 14, 2017SaveLearn
Solutions of the Helmholtz equation given by solutions of the eikonal equationWe find the form of the refractive index such that a solution, S, of the eikonal equation yields an exact solution, ( i k0 S), of the corresponding Helmholtz equation.G. F. Torres del Castillo, Iraís Rubalcava-García·Jun 13, 2017SaveLearn
On the planar elastica, stress, and material stressWe revisit the classical problem of the planar Euler elastica with applied forces and moments, and present a classification of the shapes in terms of tangentially conserved quantities…H. Singh, J. A. Hanna·Jun 9, 2017SaveLearn
Electrostatic limit of the T-matrix for electromagnetic scattering: Exact results for spheroidal particlesThe T-matrix, often obtained with Waterman's extended boundary condition method (EBCM), is a widely-used tool for fast calculations of electromagnetic scattering by particles. Here we…Matt R. A. Majic, Finnian Gray, Baptiste Auguie et al.·Jun 9, 2017SaveLearn
Phase shift's influence of two strong pulsed laser waves on effective interaction of electronsThe phase shift's influence of two strong pulsed laser waves on effective interaction of electrons was studied. Considerable amplification of electrons repulsion in the certain range of phase…S. S. Starodub, S. P. Roshchupkin, V. V. Dubov·Jun 9, 2017SaveLearn
Detecting singular weak-dissipation limit for flutter onset in reversible systemsA `flutter machine' is introduced for the investigation of a singular interface between the classical and reversible Hopf bifurcations that is theoretically predicted to be generic in…Davide Bigoni, Oleg N. Kirillov, Diego Misseroni et al.·Jun 7, 2017SaveLearn
Crystalline Soda Can Metamaterial exhibiting Graphene-like Dispersion at subwavelength scaleGraphene, a honeycomb lattice of carbon atoms ruled by tight-binding interaction, exhibits extraordinary electronic properties due to the presence of Dirac cones within its band structure. These…S. Yves, F. Lemoult, M. Fink et al.·Jun 7, 2017SaveLearn
Visualization of Thomas-Wigner rotationsIt is well known that a sequence of two non-collinear pure Lorentz transformations (boosts) is not a boost again, but involves a spatial rotation, the Wigner or Thomas-Wigner rotation. The formation…G. Beyerle·Jun 6, 2017SaveLearn
Metriplectic formalism: friction and much moreThe metriplectic formalism couples Poisson brackets of the Hamiltonian description with metric brackets for describing systems with both Hamiltonian and dissipative components. The construction…Massimo Materassi, Philip J. Morrison·Jun 4, 2017SaveLearn
Limitations in the 2D description of the electromagnetic waves propagation in thin dielectric and magnetic layersThe propagation of electromagnetic waves trapped within dielectric and magnetic layers is considered. The description within the three-dimensional theory is compared with the simplified analysis in…Tomasz Radozycki, Piotr Bargiela·Jun 2, 2017SaveLearn
Micromechanics based framework with second-order damage tensorsThe harmonic product of tensors---leading to the concept of harmonic factorization---has been defined in a previous work (Olive et al, 2017). In the practical case of 3D crack density measurements on…Rodrigue Desmorat, Boris Desmorat, Marc Olive et al.·May 31, 2017SaveLearn
About the Abraham force in a conducting mediumThe article is devoted to the Abraham force in a conducting medium. From the energy-momentum tensor of the electromagnetic field interaction with moving charges the equation for the Abraham force is…Yurii A. Spirichev·May 26, 2017SaveLearn
Broadband focusing of underwater sound using a transparent pentamode lensWe report an inhomogeneous acoustic metamaterial lens based on spatial variation of refractive index for broadband focusing of underwater sound. The index gradient follows a modified hyperbolic…Xiaoshi Su, Andrew N. Norris, Colby W. Cushing et al.·May 26, 2017SaveLearn
Elastic wave control beyond band-gaps: shaping the flow of waves in plates and half-spacesIt is well known in metamaterials that local resonance and hybridization phenomena dramatically influence the shape of dispersion curves; the metasurface created by a cluster of resonators,…Andrea Colombi, Richard Craster, Daniel Colquitt et al.·May 25, 2017SaveLearn