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Classical Physics papers — page 52

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Constructing the Hamiltonian from the behaviour of a dynamical system by proper symplectic decomposition
The modal analysis is revisited through the symplectic formalism, what leads to two intertwined eigenproblems. Studying the properties of the solutions, we prove that they form a canonical basis. The…
Nima Shirafkan, Pierre Gosselet, Franz Bamer et al.Apr 22, 2021
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Review and Recent Developments on the Perfectly Matched Layer (PML) Method for the Numerical Modeling and Simulation of Elastic Wave Propagation in Unbounded Domains
This review article revisits and outlines the perfectly matched layer (PML) method and its various formulations developed over the past 25 years for the numerical modeling and simulation of wave…
Florent Pled, Christophe DesceliersApr 20, 2021
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General self-similar solutions of diffusion equation and related constructions
Transport phenomena plays an important role in science and technology. In the wide variety of applications both advection and diffusion may appear. Regarding diffusion, for long times, different type…
Imre F. Barna, L. MátyásApr 19, 2021
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Deviations from Poisson statistics in the spectra of free rectangular thin plates
The counterintuitive fact that wave chaos appears in the bending spectrum of free rectangular thin plates is presented. After extensive numerical simulations, varying the ratio between the length of…
J. L. López-González, J. A. Franco-Villafañe, R. A. Méndez-Sánchez et al.Apr 15, 2021
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Modelling instabilities in electroelastic and magnetoelastic membranes: a very brief review
The current state of the art for analytical and computational modelling of deformation in nonlinear electroelastic and magnetoelastic membranes is reviewed. A general framework and a list of methods…
Prashant SaxenaApr 14, 2021
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Condition for minimal Harmonic Oscillator Action
We provide an elementary proof that the action for the physical trajectory of the one-dimensional harmonic oscillator is guaranteed to be a minimum if and only if τ< π/ω, where τ is the elapsed…
Marco MoriconiApr 13, 2021
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Thermal Radiation Equilibrium: (Nonrelativistic) Classical Mechanics versus (Relativistic) Classical Electrodynamics
Energy equipartition is appropriate only for nonrelativistic classical mechanics, but has only limited relevance for a relativistic theory such as classical electrodynamics. In this article, we…
Timothy H. BoyerApr 12, 2021
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The force as a function: Towards analytical graphic statics for spatial structures
One of the most influential early works in graphic statics is one of Maxwell, where he introduced the idea of a discontinuous stress function and the use of a 3D projective polarity for a planar…
Tamás BaranyaiApr 6, 2021
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Bound States in the Continuum in Compact Acoustic Resonators
We reveal that finite-size solid acoustic resonators can support genuine bound states in the continuum (BICs) completely localized inside the resonator. The developed theory provides the multipole…
Ilya Deriy, Ivan Toftul, Mihail Petrov et al.Apr 6, 2021
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The persistent, the anti-persistent and the Brownian: when does the Hurst exponent warn us of impending catastrophes?
The analogy between self-similar time series with given Hurst exponent H and Markovian, Gaussian stochastic processes with multiplicative noise and entropic index q (Borland, PRE 57, 6, 6634-6642,…
Andrea Di VitaApr 5, 2021
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Brachistochrone Problem and Vaconomic Mechanics
We consider different generalizations of the Brachistochrone Problem in the context of fundamental concepts of classical mechanics. The correct statement for the Brachistochrone problem for…
Oleg ZubelevichApr 5, 2021
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A dynamic high-frequency consistent continualization of beam-lattice materials
The main purpose of the present paper is to solve the thermodynamic inconsistencies that result when deriving equivalent micropolar models of periodic beam-lattice materials through standard…
Andrea Bacigalupo, Luigi GambarottaApr 5, 2021
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Visual Appearance of Extended objects in Special Relativity
The strange visual appearance of objects is one of the puzzling predictions of Einstein's relativity. This is mainly due to the distinction between measuring and seeing, where the former is…
Utkarsh BajajApr 4, 2021
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Analytical solution of the Euler-Poinsot problem
In the present paper, an analysis was performed on the torque-free motion of a rigid body, developing Euler's analytical solution and Poinsot's geometric solution. From mathematical…
Cássio MurakamiMar 30, 2021
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Spinning rigid bodies driven by orbital forcing: The role of dry friction
A "circular orbital forcing" makes a chosen point on a rigid body follow a circular motion while the body spins freely around that point. We investigate this problem for the planar motion of…
Pablo de Castro, Tiago Araújo Lima, Fernando ParisioMar 30, 2021
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Exterior dissipation, proportional decay, and integrals of motion
Given a dynamical system with m independent conserved quantities, we construct a multi-parameter family of new systems in which these quantities evolve monotonically and proportionally, and are…
M. Aureli, J. A. HannaMar 28, 2021
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Numerical analysis of grasshopper escapement
The dynamics of driven, damped pendulum as used in mechanical clocks is numerically investigated. In addition to the analysis of a well-known mechanisms such as chronometer escapement, the unusual…
David ZiemkiewiczMar 27, 2021
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Representation of incomplete contact problems by half-planes
Methods for finding the optimal choices of the applied remote loads -- the applied normal force, moment, shear force and remote bulk stresses -- needed to solve frictional contact problems in…
Hendrik Andresen, David A. Hills, Matthew R. MooreMar 26, 2021
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Looping Pendulum: Theory, Simulation, and Experiment
The looping pendulum is a simple physical system consisting of two masses connected by a string that passes over a rod. We derive equations of motion for the looping pendulum using Newtonian…
Collin Dannheim, Luke Ignell, Brendan O'Donnell et al.Mar 26, 2021
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Superintegrability of (2n+1)-body choreographies, n=1,2,3,…, ∞ on the algebraic Lemniscate by Bernoulli (inverse problem of classical mechanics)
For one 3-body and two 5-body planar choreographies on the same algebraic Lemniscate by Bernoulli we found explicitly a maximal possible set of (particular) Liouville integrals, 7 and 15,…
Alexander V. Turbiner, Juan Carlos Lopez VieyraMar 26, 2021
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A gauge-symmetrization method for energy-momentum tensors in high-order electromagnetic field theories
For electromagnetic field theories, canonical energy-momentum conservation laws can be derived from the underpinning spacetime translation symmetry according to the Noether procedure. However, the…
Peifeng Fan, Jianyuan Xiao, Hong QinMar 26, 2021
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Why do we use constants of motion while studying the motion of a heavy symmetric top?
While studying the motion of a heavy symmetric top, in general, constants of motion are used. Some students may want to understand the motion in terms of torque, which can lie on their routine based…
Vedat TanriverdiMar 23, 2021
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Deterministic and statistical methods for the characterisation of poroelastic media from multi-observation sound absorption measurements
This paper proposes a framework for the estimation of the transport and elastic properties of open-cell poroelastic media based on sound absorption measurements. The sought properties are the…
Jacques Cuenca, Peter Göransson, Laurent De Ryck et al.Mar 21, 2021
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Study of the projectile motion in the air using simple analytical formulas
A classic problem of the motion of a projectile thrown at an angle to the horizon is studied. Air resistance force is taken into account with the use of the quadratic resistance law. The projectile…
Peter ChudinovMar 20, 2021
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Exact edge landing probability for the bouncing coin toss and the three-sided die problem
Have you ever taken a disputed decision by tossing a coin and checking its landing side? This ancestral "heads or tails" practice is still widely used when facing undecided alternatives since…
Lluís Hernández-Navarro, Jordi PiñeroMar 19, 2021
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