Uniform formulation for orbit computation: the intermediate elementsWe present a new method for computing orbits in the perturbed two-body problem: the position and velocity vectors of the propagated object in Cartesian coordinates are replaced by eight orbital…Giulio Baù, Javier Roa·Nov 29, 2019SaveLearn
Inductor coil of the highest possible QThe geometry of an inductor made of a long thin wire and having the highest possible Q-factor is found by numerical optimization. As frequency increases, the Q-factor first grows linearly and then…A. Rikhter, M. M. Fogler·Nov 27, 2019SaveLearn
The integral theorem of generalized virial in the relativistic uniform modelIn the relativistic uniform model for continuous medium the integral theorem of generalized virial is derived, in which generalized momenta are used as particles momenta. This allows us to find exact…Sergey G. Fedosin·Nov 27, 2019SaveLearn
On the extended use of Backus averageBackus (1962) developed his technique for homogenization of a layered structure solely within the context of linear elastic theory. In this paper we propose an extended use of Backus average for…Andrey Melnikov·Nov 27, 2019SaveLearn
Cauchy-Maxwell equations: A unified field theory for coupled electromagnetism and elasticityA conformal gauge theory is used to describe and unify myriad electromechanical and magnetomechanical coupling effects observed in solid continua. Using a space-time pseudo-Riemannian metric in a…Pranesh Roy, Sanjeev Kumar, Debasish Roy·Nov 19, 2019SaveLearn
On equilibrium equations and their perturbations using three different variational formulations of nonlinear electroelastostaticsWe derive the equations of nonlinear electroelastostatics using three different variational formulations involving the deformation function and an independent field variable representing the electric…Prashant Saxena, Basant Lal Sharma·Nov 16, 2019SaveLearn
Some comments on Gao beam modelIn this small comment mathematical formulations concerning the nonlinear beam model published in [1] are analyzed. The beam is subjected to vertical and axial loading (at its right end). This…Jitka Machalová, Horymír Netuka·Nov 15, 2019SaveLearn
Maxwell's definition of electric polarization as displacementAfter reaffirming that the macroscopic dipolar electromagnetic equations, which today are commonly referred to as Maxwell's equations, are found in Maxwell's Treatise, we explain from his…Arthur D. Yaghjian·Nov 14, 2019SaveLearn
Electrodynamic friction of a charged particle passing a conducting plateThe classical electromagnetic friction of a charged particle moving with prescribed constant velocity parallel to a planar imperfectly conducting surface is reinvestigated. As a concrete example, the…Kimball A. Milton, Yang Li, Xin Guo et al.·Nov 14, 2019SaveLearn
Nonlocal strain gradient torsion of elastic beams: variational formulation and constitutive boundary conditionsNonlocal strain gradient continuum mechanics is a methodology widely employed in literature to assess size effects in nanostructures. Notwithstanding this, improper higher-order boundary conditions…R. Barretta, S. Ali Faghidian, F. Marotti de Sciarra et al.·Nov 14, 2019SaveLearn
The pressure underneath a skate at restThe pressure distribution is calculated underneath a skate which is pushed in the ice by the weight of a skater at rest. Due to the sharp edges of the skate the deformation is partly elastic and…J. M. J. van Leeuwen·Nov 13, 2019SaveLearn
Knots and the Maxwell EquationsIn this chapter, we review the Rañada field line solutions of Maxwell's equations in the vacuum, which describe a topologically non-trivial electromagnetic field, as well as their relation with…Ion V. Vancea·Nov 11, 2019SaveLearn
Charge Densities for Conducting EllipsoidsThe volume charge density for a conducting ellipsoid is expressed in simple geometrical terms, and then used to obtain the known surface charge density as well as the uniform charge per length along…T L Curtright, Z Cao, S Huang et al.·Nov 9, 2019SaveLearn
The rotating rigid body model based on a non-twisting frameThis work proposes and investigates a new model of the rotating rigid body based on the non-twisting frame. Such a frame consists of three mutually orthogonal unit vectors whose rotation rate around…Cristian Guillermo Gebhardt, Ignacio Romero·Nov 9, 2019SaveLearn
Study on Asymmetric Diffraction of Acoustic Parity-Time-Symmetric Gratings Using Rigorous Coupled-Wave AnalysisIn PT-symmetric gratings, asymmetric diffraction can be generated by modulating the ratio between imaginary and real refractive indices. In this paper, a rigorous coupled-wave analysis (RCWA) has…Yuzhen Yang, Han Jia, Jun Yang·Nov 9, 2019SaveLearn
Fast, robust and amplified transfer of topological edge modes on time-varying mechanical chainWe show that it is possible to successfully, rapidly and robustly transfer a topological vibrational edge mode across a time-varying mechanical chain. The stiffness values of the springs of the chain…I. Brouzos, I. Kiorpelidis, F. K. Diakonos et al.·Nov 8, 2019SaveLearn
Propagation through metamaterial temporal slabs: transmission, reflection and special casesTime-varying metamaterials are artificial materials whose electromagnetic properties change over time. Similar to a spatial medium discontinuity, a sudden change in time of the metamaterial…Davide Ramaccia, Alessandro Toscano, Filiberto Bilotti·Nov 8, 2019SaveLearn
A review of partial slip solutions for contacts represented by half-planes including bulk tension and momentsSolution procedures for establishing the regimes of stick and slip for frictional contacts capable of idealisation within the framework of half-plane elasticity and subject to complex loading regimes…Hendrik Andresen, David Hills·Nov 7, 2019SaveLearn
On the applicability of Kramers-Kronig dispersion relations to guided and surface wavesIn unbounded media, the acoustic attenuation as function of frequency is related to the frequency-dependent sound velocity (dispersion) via Kramers-Kronig dispersion relations. These relations are…Victor V. Krylov·Nov 6, 2019SaveLearn
Random number generation & distribution out of thin (or thick) airMuch scientific work has focused on the generation of random numbers as well as the distribution of said random numbers for use as a cryptographic key. However, emphasis is often placed on one of the…Nicholas Bornman, Andrew Forbes, Achim Kempf·Nov 5, 2019SaveLearn
Invariant-based inverse engineering for fast and robust load transport in a double pendulum bridge craneWe set a shortcut-to-adiabaticity strategy to design the trolley motion in a double-pendulum bridge crane. The trajectories found guarantee payload transport without residual excitation regardless of…I. Lizuain, A. Tobalina, A. Rodriguez-Prieto et al.·Nov 5, 2019SaveLearn
Representation of equatorial waves by a single scalar field and the effect of the horizontal component of the Earth's rotationA new representation for equatorial waves in terms of a single scalar field is used to demonstrate the influence of the (usually neglected) horizontal component of the earth's rotation vector…Dennis Wilson Moore·Nov 2, 2019SaveLearn
Gauge Invariance for Classical Massless Particles with SpinWigner's quantum-mechanical classification of particle-types in terms of irreducible representations of the Poincaré group has a classical analogue, which we extend in this paper. We study the…Jacob A. Barandes·Nov 1, 2019SaveLearn
Conservation laws and energy transformations in a class of common physics problemsWe analyze a category of problems that is of interest in many physical situations, including those encountered in introductory physics classes: systems with two well-delineated parts that exchange…Jonathan Bougie, Asim Gangopadhyaya·Oct 29, 2019SaveLearn
Static elastic cloaking, low frequency elastic wave transparency and neutral inclusionsNew connections between static elastic cloaking, low frequency elastic wave scattering and neutral inclusions are established in the context of two dimensional elasticity. A cylindrical core…Andrew N. Norris, William J. Parnell·Oct 28, 2019SaveLearn