Optimizing helical disc dynamoWe present an optimized design of our recently realized helical disc dynamo. Like the original set-up, the optimized dynamo consists of a flat multi-arm spiral coil and a co-axially placed disc which…J. Priede, R. A. Avalos-Zúñiga·Jun 8, 2023SaveLearn
Lost work and exergy: two views of the same conceptWe present the fundamental equation for a system and for a process, and by considering irreversibility within the system, we show that the lost work concept emerges naturally from the formalism. We…Joaquim Anacleto·Jun 6, 2023SaveLearn
Lagrange top: integrability according to Liouville and examples of analytic solutionsEquations of a heavy rotating body with one fixed point can be deduced starting from a variational problem with holonomic constraints. When applying this formalism to the particular case of a…Alexei A. Deriglazov·Jun 4, 2023SaveLearn
High-order alloharmonics produced by nonperiodic driversHigh-order harmonics are ubiquitous in nature and present in electromagnetic, acoustic, and gravitational waves. They are generated by periodic nonlinear processes or periodic high-frequency pulses.…M. S. Pirozhkova, K. Ogura, A. Sagisaka et al.·Jun 1, 2023SaveLearn
A simple approach to nonlinear nonholonomic systems with several examplesThe main theme of the article is the study of discrete systems of material points subjected to constraints not only of a geometric type (holonomic constraints) but also of a kinematic type…Federico Talamucci·May 29, 2023SaveLearn
Brachistochrone and Sliding with FrictionMotions of a material point along a set of parabolas are studied, taking into account the forces of Coulomb friction. The obtained results are compared with similar motions along the cycloid. The…A. V. Kurilin·May 26, 2023SaveLearn
Eliminating Infinite Self-Energies From Classical ElectrodynamicsThe theory of point-particles in classical electrodynamics has a well-known problem of infinite self-energy, and the same is true of quantum electrodynamics. Instead of concluding that there is no…Andrew T. Hyman·May 24, 2023SaveLearn
Neighbourhood watch in mechanics: non-local models and convolutionThis paper is intended to serve as a low-hurdle introduction to non-locality for graduate students and researchers with an engineering mechanics or physics background who did not have a formal…Thomas Nagel, Tymofiy Gerasimov, Dominik Kern·May 20, 2023SaveLearn
DC Power Transported by Two Infinite Parallel WiresThis paper presents the calculation of the electrical power transported by the electromagnetic fields of two parallel wires carrying opposite DC currents. The Poynting vector is developed in bipolar…Marc Boulé·May 19, 2023SaveLearn
All-dielectric meta-waveguides for flexible polarization control of guided lightGuided waves are the perfect carriers of electromagnetic signals in planar miniaturized devices due to their high localization and controlled propagation direction. However, it is still a challenge…Syuzanna Asadulina, Andrey Bogdanov, Stanislav Glybovski et al.·May 17, 2023SaveLearn
Graded quasiperiodic metamaterials perform fractal rainbow trappingThe rainbow trapping phenomenon of graded metamaterials can be combined with the fractal spectra of quasiperiodic waveguides to give a metamaterial that performs fractal rainbow trapping. This is…Bryn Davies, Gregory J. Chaplain, Timothy A. Starkey et al.·May 17, 2023SaveLearn
Discrete Molecular DynamicsComputer simulation of the time evolution in a classical system is a standard numerical method, used in numerous scientific articles in Natural Science. Almost all the simulations are performed by…S. Toxvaerd·May 17, 2023SaveLearn
Numerical and Experimental Investigation of A Three-Axis Free Rotation Wind Tunnel ModelThe current need of improving performance in terms of control and aerodynamic efficiency of ammunitions leads to the necessity of performing accurate flying geometry characterizations. Therefore, new…Laurène Muller, Michel Libsig, Bastien Martinez et al.·May 15, 2023SaveLearn
Noether theorem in fluid mechanicsInvariance theorems in analytical mechanics, such as Noether's theorem, can be adapted to continuum mechanics. For this purpose, it is useful to give a functional representation of the motion and…Henri Gouin·May 15, 2023SaveLearn
Brillouin Klein space and half-turn space in three-dimensional acoustic crystalsThe Bloch band theory and Brillouin zone (BZ) that characterize wave behaviors in periodic mediums are two cornerstones of contemporary physics ranging from condensed matter to topological physics.…Zhenxiao Zhu, Linyun Yang, Jien Wu et al.·May 15, 2023SaveLearn
A coordinate-free guide to the mechanics of thin shellsIn this tutorial, we provide a coordinate-free derivation of the system of equations that govern equilibrium of a thin shell that can undergo shear. This system involves tensorial fields representing…Giuseppe Tomassetti·May 14, 2023SaveLearn
Analytical model for predicting folding stable state of bistable deployable composite boomThe bistable deployable composite boom (Bi-DCB) can achieve bistable function by storing and releasing strain energy, which has a good application prospect in space field. For example, it serves as…Tian-Wei Liu, Jiang-Bo Bai, Nicholas Fantuzzi·May 14, 2023SaveLearn
Singular Azimuthally Propagating Electromagnetic FieldsWe study the characteristics of azimuthally propagating electromagnetic fields in a cylindrical cavity. It is found that under certain conditions, the transverse components of the electromagnetic…Mustafa Bakr, Smain Amari·May 11, 2023SaveLearn
Cetaev condition for nonlinear nonholonomic systems and homogeneous constraintsWe first present a way to formulate the equations of motion for a nonholonomic system with nonlinear constraints with respect to the velocities. The formulation is based on the Cetaev condition which…Federico Talamucci·May 10, 2023SaveLearn
Experimental and numerical investigation on folding stable state of bistable deployable composite boomThe bistable deployable composite boom (Bi-DCB) can realize the bistable function by storing and releasing strain energy, which has a good application prospect in the aerospace field. In this paper,…Tian-Wei Liu, Jiang-Bo Bai, Hao-Tian Xi et al.·May 9, 2023SaveLearn
Phonon Bloch OscillationsThe classical motion of a one-dimensional chain of atoms coupled through a specific force function that depends on position shows features very similar to the Wannier-Stark problem of a quantum…R. Merlin·May 8, 2023SaveLearn
On the Origin of Acoustic Spin and Elastic Spin: Uncovering Hidden Wave Spin of Scalar Fields with Higher-Order Derivative LagrangianScalar field should have no spin angular momentum according to conventional understandings in classical field theory. Yet, recent studies demonstrate the undoubted existence of wave spin endowed by…Shuo Xin, Jie Ren·May 8, 2023SaveLearn
Radiation of a variable charge flying into mediumWe study an electromagnetic radiation of a small bunch having a variable charge value and crossing a flat interface between two media. Both media are homogeneous, stationary, and isotropic. They may…Xingzhen Fan, Andrey V. Tyukhtin·May 7, 2023SaveLearn
Interference aided finite resonant response in an undamped forced oscillatorWe apply perturbative techniques to a driven undamped sinusoidal oscillator at resonance. The angular displacement, θ, obeys the dynamics θ + ω2 θ = Hωt. The linearized…Shihabul Haque, Jayanta K. Bhattacharjee·May 6, 2023SaveLearn
Exact Transient Analysis of a Biconical Antenna of Arbitrary Length and Cone AngleStarting from a new factorization of the frequencydomain modal expansion coefficients, we generate analytical expressions in time-domain for the various quantities of interest of a biconical antenna…Ramakrishna Janaswamy·May 5, 2023SaveLearn