The surprising subtlety of electrostatic field linesElectric fields are commonly visualized with field line diagrams, which only unambiguously specify the field's direction. We consider two simple questions. First, can one deduce if an electric…Kevin Zhou, Tomas Brauner·Nov 11, 2024SaveLearn
Precession of the elastic pendulum on the rotating EarthWe present a numerical solution of the nonlinear differential equation for a pendulum with an elastic string on the rotating Earth, for different values of string stiffness at different geographic…Borut Jurčič Zlobec·Nov 11, 2024SaveLearn
A comparative view of Becker, Lomnitz, and Lambert linear viscoelastic modelsWe compare the classical viscoelastic models due to Becker and Lomnitz with respect to a recent viscoelastic model based on the Lambert W function. We take advantage of this comparison to derive new…Juan Luis Gonzales Santander, Francesco Mainardi·Nov 7, 2024SaveLearn
Deeper understandings of the gauge theory for the first order inhomogeneous linear elasticityOur previous study [1] has demonstrated that the gauge theory is a proper framework for characterizing the local temporal and spatial interactions in inhomogeneous elastic media. However, in that…Zhihai Xiang·Nov 6, 2024SaveLearn
Derivation and physical interpretation of the general solutions to the wave equations for electromagnetic potentialsThe inhomogeneous wave equations for the scalar, vector, and Hertz potentials are derived starting from retarded charge, current, and polarization densities and then solved in the reciprocal (or k-)…Valerica Raicu·Nov 5, 2024SaveLearn
A More General Linear Projectile ProblemIn a full 3D context, we study a projectile subject to linear drag, a non-uniform gravitational field, time-dependent wind, and parameterized atmospheric thinning. In this general context, we provide…Nick Lorenzo·Nov 4, 2024SaveLearn
Newtonian restricted three-body gravitational problem with positive and negative point massesThe Newtonian restricted three-body problem involving a positive primary point mass, m+, and a negative secondary point mass, m-, in a circular orbit, and a positive or negative tertiary point…K. H. Thong, A. Melatos·Nov 1, 2024SaveLearn
Magnetic levitation in the field of a rotating dipoleIt is well known that two permanent magnets of fixed orientation will either always repel or attract one another regardless of the distance between them. However, if one magnet is rotated at…Grégoire Le Lay, Sarah Layani, Adrian Daerr et al.·Oct 29, 2024SaveLearn
Shape derivatives in bi-material level-set optimization with a precise interface: a comparative studyIn this study, we investigate and compare formulations for computing shape derivatives in bi-material level-set optimization with precise modeling of the interface. The level-set function is…Majd Kosta, Oded Amir·Oct 28, 2024SaveLearn
Local Field Statistics in Linear Elastic Unidirectional Fibrous CompositesStatistical fluctuations of local tensorial fields beyond the mean are relevant to predict localized failure or overall behavior of the inelastic composites. The expression for second moments of the…Tarkes Dora Pallicity, Maximillian Krause, Thomas Böhlke·Oct 19, 2024SaveLearn
The Bouc-Wen Model for Binary Direct Collinear Collisions of Convex Viscoplastic BodiesWe study mathematical models of binary direct collinear collisions of convex viscoplastic bodies based on two incremental collision laws that employ the Bouc-Wen differential model of hysteresis to…Mihails Milehins, Dan B. Marghitu·Oct 10, 2024SaveLearn
Realization of an NMR analog in a microwave network with symplectic symmetryIn a previous paper, we realized a microwave network with symplectic symmetry simulating a spin 1/2 (Rehemanjiang et al. [Phys. Rev. Lett. 117, 064101 (2016)]), following a suggestion by Joyner et…Finn Schmidt, Tobias Hofmann, H. -J. Stöckmann et al.·Oct 9, 2024SaveLearn
On the Damped Pinney Equation from Noether Symmetry PrinciplesThere are several versions of the damped form of the celebrated Pinney equation, which is the natural partner of the undamped time-dependent harmonic oscillator. In this work these dissipative…Fernando Haas·Oct 8, 2024SaveLearn
On the Derivation of One and Two Dimensional Equations for Layered Elastic Beams and Plates with Interface SlipsMindlins systematic procedure of power series expansion for deriving one and two dimensional equations of elastic beams and plates is extended to layered beams and plates with interface slips by…Yilin Qu, Jiashi Yang·Oct 8, 2024SaveLearn
Theoretical foundations of nonlinear electromagneto-mechanical systems: applying Finsler geometry to Kibble BalancesKibble balances are energy-conversion devices currently employed to realize the metrological redefinition of the kilogram unit of mass. The authors, noticing that the literature lacks a fundamental…Pierluigi Rizza, Patrizio Ansalone·Oct 4, 2024SaveLearn
Measurement, self-similarity, and TNT equivalence of blasts from exploding wiresReduced-scale experiments offer a controlled and safe environment for studying the effects of blasts on structures. Traditionally, these experiments rely on the detonation of solid or gaseous…Ahmad Morsel, Filippo Masi, Panagiotis Kotronis et al.·Sep 30, 2024SaveLearn
Partial Complementary Energy Densities, Their Variational Principles and Applications in ElasticityPartial complementary energy densities are introduced through partial Legendre transforms from the strain energy density of linear elasticity. They have mixed components of the strain and stress…Jiashi Yang·Sep 26, 2024SaveLearn
Acceleration deforms exponential decays into generalized Zipf-Mandelbrot lawsAn exponentially decaying system looks as if its decay was a generalized power or double-exponential law, provided one takes into account the relativistic time dilation in a detector, the delay of…Marek Czachor·Sep 25, 2024SaveLearn
Nonlinear Coupling between Magnetic GearsThis study investigates the complex nonlinear coupling of magnetic gears arranged in proximity on a plane. Acknowledging the rich array of geometric and electromagnetic parameters involved, we…Tianchi Liu·Sep 24, 2024SaveLearn
Study of the asymptotic motion of a sporting projectile taking into account the Magnus forceA classic problem of the motion of a projectile thrown at an angle to the horizon is studied. Air resistance force and Magnus force are taken into account with the use of the quadratic laws. We…Peter Chudinov·Sep 23, 2024SaveLearn
Eshelby-based homogenization schemes with finite circular cylindersCommonly, for homogenization of fibrous media, fibers are approximated by ellipsoidal inclusions. Indeed, the solution of Eshelby's problem for an ellipsoid is well-known analytically. However,…A Martin·Sep 23, 2024SaveLearn
Methodology for 3D sound synthesis of directional acoustic sources by higher-order ambisonicsThis paper presents the 3D soundfield synthesis of the pressure field radiated by directional acoustic sources using both the multimodal method and higher-order ambisonics (HOA). Ambisonics is a…Philippe Thorner, Eric Bavu, Jean-Baptiste Doc et al.·Sep 19, 2024SaveLearn
Slowing and stopping the speed of soundTemporal interference between direct and surface-reflected paths induces large variation in the group speed of an acoustic signal between a source and receiver. This speed goes to zero when the…John L. Spiesberger, Ivesavega Djianto, Justin Duong et al.·Sep 18, 2024SaveLearn
Variational approach to nonholonomic and inequality-constrained mechanicsVariational principles play a central role in classical mechanics, providing compact formulations of dynamics and direct access to conserved quantities. While holonomic systems admit well-known…A. Rothkopf, W. A. Horowitz·Sep 17, 2024SaveLearn
Electromagnetic stress-energy tensor is a direct consequence of 3- and 6-dimensional left-and right-helical representations of the Lorentz groupWe review 3-d reducible representation of the Lorentz group and introduce a 6-d irreducible representation tailored for transforming 6-d electromagnetic vector, and we show that the mixture of the…M. A. Kuntman·Sep 17, 2024SaveLearn