Three-Body Inertia TensorWe derive a general formula for the inertia tensor of a three-body system. By employing three independent Lagrange undetermined multipliers to express the vectors corresponding to the sides in terms…June-Haak Ee, Dong-Won Jung, U-Rae Kim et al.·Jun 3, 2020SaveLearn
Analytical solutions of the simple shear problem for certain types of micromorphic continuum models -- including full derivationsTo draw conclusions as regards the stability and modelling limits of the investigated continuum, we consider a family of infinitesimal isotropic generalized continuum models (Mindlin-Eringen…Gianluca Rizzi, Geralf Hütter, Angela Madeo et al.·Jun 2, 2020SaveLearn
A Compact Pattern Reconfigurable Antenna Based on Multimode Plane Spiral OAMOrbital angular momentum (OAM) has attracted great interest in the past few decades due to its helical phase characteristics. It has been proved that Plane spiral OAM (PSOAM) has potential in pattern…Zelin Zhu, Shilie Zheng, Xiaowen Xiong et al.·May 29, 2020SaveLearn
Theoretical analysis of the non-uniform OAM source based on an equivalent source transformationOrbital angular momentum (OAM) has gradually become a research hotspot in radar, communication and other fields because of its phase distribution. However it encounters some problems in the real…Zelin Zhu, Shilie Zheng, Xiaowen Xiong et al.·May 29, 2020SaveLearn
Modeling flywheel energy storage system charge and discharge dynamicsEnergy storage technologies are of great practical importance in electrical grids where renewable energy sources are becoming a significant component in the energy generation mix. Here, we focus on…Pieter-Jan C. Stas, Sulav Ghimire, Henni Ouerdane·May 29, 2020SaveLearn
Sarong rolled around a body demonstrates the force for separating two sheets joined by folding and rolling is very largeThere are a lot of new sciences that have been inspired by common phenomena and even by old traditions practiced in our daily lives. Eventually, it may induce unexpected new technologies after deeply…Fathan Akbar, Mikrajuddin Abdullah·May 28, 2020SaveLearn
Interplay of Friction and Structural Asymmetry in Non-Reciprocal Dynamics of a Rolling PrismWe investigate how the dynamics of a hexagonal prism rolling on a floor change with friction and structural asymmetry. It is shown that the asymmetry induces the non-reciprocal dynamics where the…Shuichi Iwakiri·May 27, 2020SaveLearn
Derivation of Elastic Wave Equation from New Motion DescriptionIn classical mechanics, the motion of an object is described with Newton's three laws of motion, which means that the motion of the material elements composing a continuum can be described with…Peng Shi·May 27, 2020SaveLearn
Oscillations of a suspended slinkyThis paper discusses the oscillations of a spring (slinky) under its own weight. A discrete model, describing the slinky by N springs and N masses, is introduced and compared to a continuous…Jörg Pretz·May 25, 2020SaveLearn
Non-holonomic constraints inducing flutter insability in structures under conservative loadingsNon-conservative loads of the follower type are usually believed to be the source of dynamic instabilities such as flutter and divergence. It is shown that these instabilities (including Hopf…Alessandro Cazzolli, Francesco Dal Corso, Davide Bigoni·May 22, 2020SaveLearn
Planar motion with Fresnel integrals as components of the velocityWe analyze the two-dimensional motion of a rigid body due to a constant torque generated by a force acting on the body parallel to the surface on which the body moves extending an old note of…E. Flores-Garduno, S. C. Mancas, H. C. Rosu et al.·May 18, 2020SaveLearn
Unified anisotropic strength criterion rank two for fibrous materials like woodWood is a fibrous orthotropic material additionally characterized with sign-sensitivity. Thus, determining the universal conditions of its strength constitutes a complex task. In their work, the…Grzegorz Koczan, Paweł Kozakiewicz·May 15, 2020SaveLearn
Orthotropic cyclic stress-softening model for pure shear during repeated loading and unloadingWe derive an orthotropic model to describe the cyclic stress-softening of a carbon-filled rubber vulcanizate through multiple stress-strain cycles with increasing values of the maximum strain. We…S. R. Rickaby, N. H. Scott·May 14, 2020SaveLearn
Sommerfeld half-space problem revisited: Short-wave asymptotic solutionsA method for solving the half-space Sommerfeld problem is proposed, which allows us to obtain exact solutions in the form of Sommerfeld integrals, as well as their short-wave asymptotics. The first…Seil Sautbekov·May 14, 2020SaveLearn
Pedal coordinates, solar sail orbits, Dipole drive and other force problemsIt was shown that pedal coordinates provides natural framework in which to study force problems of classical mechanics in the plane. A trajectory of a test particle under the influence of central and…Petr Blaschke·May 11, 2020SaveLearn
Second gradient electrodynamics: Green functions, wave propagation, regularization and self-forceIn this work, the theory of second gradient electrodynamics, which is an important example of generalized electrodynamics, is proposed and investigated. Second gradient electrodynamics is a gradient…Markus Lazar·May 11, 2020SaveLearn
Effective interaction force between an electric charge and a magnetic dipole and locality (or nonlocality) in quantum effects of the Aharonov-Bohm typeClassical electrodynamics foresees that the effective interaction force between a moving charge and a magnetic dipole is modified by the time-varying total momentum of the interaction fields. We…Gianfranco Spavieri, George T. Gillies, Miguel E. Rodriguez et al.·May 9, 2020SaveLearn
The incremental bulk modulus, Young's modulus and Poisson's ratio in nonlinear isotropic elasticity: physically reasonable responseAn incremental (or tangent) bulk modulus for finite isotropic elasticity is defined which compares an increment in hydrostatic pressure with the corresponding increment in relative volume. Its…N. H. Scott·May 9, 2020SaveLearn
Thermoelasticity and Generalized Thermoelasticity Viewed as Wave HierarchiesIt is seen how to write the standardÊ form of the four partial differential equations in four unknowns of anisotropic thermoelasticity as a single equation in one variable, in terms of isothermal and…N. H. Scott·May 8, 2020SaveLearn
Green functions and propagation in the Bopp-Podolsky electrodynamicsIn this paper, we investigate the so-called Bopp-Podolsky electrodynamics. The Bopp-Podolsky electrodynamics is a prototypical gradient field theory with weak nonlocality in space and time. The…Markus Lazar·May 6, 2020SaveLearn
Zel'dovich amplification in a superconducting circuitZel'dovich proposed that electromagnetic (EM) waves with angular momentum reflected from a rotating metallic, lossy cylinder will be amplified. However, we are still lacking a direct experimental…Maria Chiara Braidotti, Andrea Vinante, Giulio Gasbarri et al.·May 5, 2020SaveLearn
Sensitivity of resonance frequency in the detection of thin layer using nano-slit structuresWe derive the formulas for the resonance frequencies and their sensitivity when the nano-slit structures are used in the detection of thin layers. For a thin layer with a thickness of H deposited…Junshan Lin, Sang-Hyun Oh, Hai Zhang·May 5, 2020SaveLearn
On relationship between trigonal and cubic symmetry classes of an elasticity tensorIn the literature, there is an ambiguity in defining the relationship between trigonal and cubic symmetry classes of an elasticity tensor. We discuss the issue by examining the eigensystems and…Filip P. Adamus·May 5, 2020SaveLearn
Amplification of waves from a rotating bodyIn 1971 Zel'dovich predicted that quantum fluctuations and classical waves reflected from a rotating absorbing cylinder will gain energy and be amplified. This key conceptual step towards the…M. Cromb, G. M. Gibson, E. Toninelli et al.·May 4, 2020SaveLearn
Rolling Polygons with Granular Material down an InclineThe present paper reports a novel behavior involving regular polygons with n sides and filled to varying degrees with granular materials. These are comprised of a set of hollow polygons produced on a…Sidney Eckert, Phillip Ingalls, J. West·May 4, 2020SaveLearn