Stress Analysis of a Square Elastic Body Under Biaxial Loading Using Airy Stress FunctionsThis study presents an analytical investigation of stress distributions in square-shaped elastic bodies subjected to concentrated compressive loads under uniaxial and biaxial conditions. By employing…Ryu Suzuki, Shintaro Hokada, Satoshi Takada·Aug 27, 2025SaveLearn
SNIC bifurcation and its Application to MEMSThis project focuses on a method to extract a frequency comb in mechanical means, for general interest and numerous practical applications in MEMS. The method of execution is the implementation of a…Joshua Shay Kricheli·Aug 25, 2025SaveLearn
Stability analysis of Euler's elastica ring using harmonic balanceThe stability analysis of elastic rings subjected to various loading conditions is examined, focusing on stable and unstable configurations. The harmonic balance method is employed to investigate the…Muhammad Sami Siddiqui·Aug 22, 2025SaveLearn
Comment on "Magnetic moments in the Poynting theorem, Maxwell equations, Dirac equation, and QED"The paper ``Magnetic moments in the Poynting theorem, Maxwell equations, Dirac equation, and QED", arXiv:2501.02022, by Peter J. Mohr, purports to show that Maxwell's equation,…Jerrold Franklin·Aug 21, 2025SaveLearn
Classical Dirac particle II. Interaction with an electromagnetic plane waveIn a previous work we have described the classical structure and analyzed the interaction of the classical Dirac particle with uniform and oscillating electric and magnetic fields. In the present…Juan Barandiaran, Martin Rivas·Aug 19, 2025SaveLearn
Integrals of motion on extremals of the equation Euler-LagrangeIt is shown that a chain of closed systems of first order ordinary differential equations describing the evolution of moments can be constructed using the Jacobi equation. It is shown that Wronsky…V. P. Koshcheev·Aug 15, 2025SaveLearn
Proposal for fast computational method for Hertzian contact theoryFast computational method for Hertzian contact theory is proposed. An incremental formula is introduced to calculate the ellipticity of the contact disk when two elastic bodies are in contact. This…Shintaro Hokada, Shunsuke Iizuka, Satoshi Takada·Aug 9, 2025SaveLearn
A Time-Domain Method of Auxiliary Sources for Efficient Analysis of Transient Electromagnetic Scattering by Moderately Conductive CylindersThis paper presents a time-domain implementation of the Method of Auxiliary Sources (MAS) combined with the Standard Impedance Boundary Condition (SIBC) for electromagnetic scattering problems…Minas Kouroublakis, Nikolaos L. Tsitsas, Yehuda Leviatan·Aug 7, 2025SaveLearn
A Numerical Procedure for the Determination of the Pursuit Curve of Objects with Uniformly Accelerated MotionIn this article the pursuit problem of objects that moves with different accelerations and initial speeds is studied. Initially, the situation in which the escaping object moves in a straight line is…Luis Rozas·Aug 5, 2025SaveLearn
Tight composites knots and chiralityChirality is known to play a central role in the properties of many physical systems across a wide range of spatial and temporal scales. Chemical and optical properties of materials are only two of…Samuele Faglioni·Aug 5, 2025SaveLearn
Not All Uniform B-Fields Are The Same!Set up a charged rectangular-plate capacitor in a uniform B-field. Quasi-statically turn off the B-field - what happens? We show that this seemingly simple induction problem…Benjamin K. Luna, Murray S. Daw·Aug 2, 2025SaveLearn
On the edge of complexity: The simplest not simple coupled mechanical systemWe show that during normal modes of an oscillatory system consisting of a hoop and a cylinder joining their centers by an ideal spring, its central mass does not remain at rest. This effect is due to…Gergely Nyitray·Aug 2, 2025SaveLearn
Radially Locked Sun-Ray Patterns in Autocatalytic Reaction-Diffusion-Advection SystemsTraveling fronts ubiquitous in physics, chemistry, and biology are prone to transverse cellular deformations due to diffusive or convective instabilities. Here we show both theoretically and…Surya Narayan Maharana, Luka Negrojević, Alessandro Comolli et al.·Aug 1, 2025SaveLearn
The cycloid as brachistochrone: A one-page proof, from first principles, without calculusJohann Bernoulli's optical solution of the brachistochrone problem is rebuilt on underlying (non-optical) principles. An "optical interpretation" is given afterwards.Gavin R. Putland·Jul 30, 2025SaveLearn
Scattering of Antiplane Shear Waves by Fractals in Strain Gradient ElasticityWave manipulation is essential in various applications, including seismic wave protection, sound isolation, and acoustic device design. This study examines the scattering and trapping of antiplane SH…E. Alevras, Th. Zisis, P. A. Gourgiotis·Jul 24, 2025SaveLearn
Hamiltonian treatment of non-conservative systemsWe present a novel extension of Hamiltonian mechanics to nonconservative systems built upon the Schwinger-Keldysh-Galley double-variable action principle. Departing from Galley's initial-value…Christopher Aykroyd, Adrien Bourgoin, Christophe Le Poncin-Lafitte·Jul 23, 2025SaveLearn
Ramanujan's oscillatorWe aim to show that the dimensionless unit angular frequency of a certain mechanical oscillator is realized by a condition involving the Hardy-Ramanujan number 1729. This type of coupled oscillator…Gergely Nyitray·Jul 17, 2025SaveLearn
Nonlinear transmission line: shock waves and the simple wave approximationThe transmission lines we consider are constructed from the nonlinear inductors and the nonlinear capacitors. In the first part of the paper we additionally include linear ohmic resistors. Thus, the…Eugene Kogan·Jul 16, 2025SaveLearn
Effective quality factor of mechanical resonators under complex-frequency excitationsWe investigate the dynamics of mechanical resonators subject to excitations comprising of an oscillating or harmonic part, whose amplitude decays exponentially in time. We call these complex…Wenbo Li, Skriptyan Syuhri, Pablo Tarazaga et al.·Jul 15, 2025SaveLearn
Non-Propulsive Payload Deployment for Efficient On-Orbit Servicing of Mega-ConstellationsThe prevailing assumption holds that on-orbit servicing (OOS) of mega-constellations is infeasible due to prohibitive fuel consumption incurred by multiple rendezvous maneuvers across vast and…Li Zhengrui, Feng Guanhua, Wu Xiaokun et al.·Jul 11, 2025SaveLearn
Stability of rotating magnetic levitationDynamical magnetic levitation has attracted broad interest in the realm of physics and engineering. The stability analysis of such system is of great significance for practical applications. In this…Mingjun Fan, Jinyu Chen, Yongquan Ji et al.·Jul 10, 2025SaveLearn
Comment on work of Yang and Nevels "Direct, analytic solution for the electromagnetic vector potential in any gauge" (arXiv:2507.02104)In the Comment the procedure for obtaining a solution for the electromagnetic potential, presented in the cited work arxiv:2507.02104, is analyzed. It is shown that the solution obtained by the…Vladimir Onoochin·Jul 9, 2025SaveLearn
Gedanken experiment to test Bell's spaceship paradoxIn Bell's spaceship paradox, a thread connects two spaceships moving with identical accelerations. As the ships accelerate in lockstep, the tension in the string increases due to the relativistic…Len Zane·Jul 9, 2025SaveLearn
Three-Dimensional Rigid-Body Impact Mechanics for Automobile CollisionsTwo-dimensional (planar) rigid-body impact mechanics for application in automobile collisions have been described by a number of researchers over the last several decades. Little has been discussed,…Micky Marine·Jul 9, 2025SaveLearn
Kapitza's Pendulum as a Classical Prelude to Floquet-Magnus TheoryWe present a pedagogical introduction to Floquet-Magnus theory through the classical example of Kapitza's pendulum - a simple system exhibiting nontrivial dynamical stabilization under rapid…Johannes K. Krondorfer, Maria Kainz, Matthias Diez et al.·Jul 3, 2025SaveLearn