Effects of prestress in the coating of an elastic diskAn elastic disk is coated with an elastic rod, uniformly prestressed with a tensile or compressive axial force. The prestress state is assumed to be induced by three different models of external…Matteo Gaibotti, Sofia G. Mogilevskaya, Andrea Piccolroaz et al.·Apr 9, 2024SaveLearn
A Lip Vibration Model Using Mechanical Properties of FleshThe mechanical properties of the human lip between relaxed and fully contracted are not enough to explain the full range of professional brass players. Brass players manipulate their mouth cavity and…Michael Strauss·Apr 7, 2024SaveLearn
The Stochastic GuitarStochastic physics is a central pillar of modern research in many fields, but is rarely presented to undergrad students in a hands-on experiment. Here, we demonstrate how a human-scale, simple, and…Andreas Eggenberger, Alexander Eichler·Apr 5, 2024SaveLearn
Quantity and quantitative properties in physics and metrologyI discuss various aspects of the concept of a quantity in physics and metrology and related consideration in reference documents of IUPAP, IUPAC, ISO, IEC, and JCGM.Savely G. Karshenboim·Apr 4, 2024SaveLearn
Correlation and Spectral Density Functions in Mode-Stirred Reverberation -- II. Spectral Moments, Sampling, Noise, EMI and UnderstirringIn part I, spectral moments and kurtosis were established as parameters in analytic models of correlation and spectral density functions for dynamic reverberation fields. In this part II, several…Luk R. Arnaut, John M. Ladbury·Apr 4, 2024SaveLearn
Correlation and Spectral Density Functions in Mode-Stirred Reverberation -- III. MeasurementsExperimental auto- and cross-correlation functions and their corresponding spectral density functions are extracted from measured sweep data of mode-stirred fields. These are compared with…Luk R. Arnaut, John M. Ladbury·Apr 4, 2024SaveLearn
Exact solution to Maxwell's equations for the infinite ideal solenoid with a time-dependent surface currentVery little previous literature has considered the *exact* solution to Maxwell's equations for an infinite ideal cylindrical solenoid with an arbitrary time-dependent azimuthal surface current…Edward Parker·Apr 3, 2024SaveLearn
A novel analysis method for calculating nonlinear Frequency Response FunctionsThe Frequency Response Functions (FRFs) are the most widely used functions to characterise the dynamic behaviour of structures. The natural frequencies and damping behaviour can be easily and quickly…Dario Di Maio·Apr 2, 2024SaveLearn
Correlation and Spectral Density Functions in Mode-Stirred Reverberation -- I. TheoryAuto- and cross-spectral density functions for dynamic random fields and power are derived. These are based on first- and second-order Padé approximants of correlation functions expanded in terms…Luk R. Arnaut·Apr 2, 2024SaveLearn
Revisiting the problem of existence of surface Rayleigh waves with impedance boundary conditionsThis paper considers the problem of surface waves in an isotropic elastic half-space endowed with impedance boundary conditions as first proposed by Godoy et al. [Wave Motion 49 (2012), 585-594].…Fabio Vallejo·Mar 29, 2024SaveLearn
Principle of virtual action in continuum mechanicsWe present the principle of virtual action as a foundation of continuum mechanics. Used mainly in relativity, the method has a useful application in classical mechanics and places the notion of…Henri Gouin·Mar 29, 2024SaveLearn
Symmetry criteria for the equality of interior and exterior shape factorsLienhard (2019) reported that the shape factor of the interior of a simply-connected region (Ω) is equal to that of its exterior (R2Ω) under the same boundary conditions. In…Kyle McKee, John H. Lienhard·Mar 27, 2024SaveLearn
A Generalised Coleman-Noll Procedure and the Balance Laws of Hyper-AnelasticityIt is known that the balance laws of hyperelasticity (Green elasticity), i.e., conservation of mass and balance of linear and angular momenta, can be derived using the first law of thermodynamics by…Souhayl Sadik, Arash Yavari·Mar 21, 2024SaveLearn
Flexures for Kibble balances: Minimizing the effects of anelastic relaxationWe studied the anelastic aftereffect of a flexure being used in a Kibble balance, where the flexure is subjected to a large excursion in velocity mode after which a high-precision force comparison is…Lorenz Keck, Stephan Schlamminger, René Theska et al.·Mar 20, 2024SaveLearn
On the radiation from unbaffled pistons and their dipole equivalentThe radiation efficiency from simple vibrating planar surfaces is often used as a basis to describe the sound radiation from more complex structures, having important applications in various fields…Filipe Soares, Vincent Debut·Mar 20, 2024SaveLearn
An Exact Invariant for Relativistic Linear Harmonic Oscillator with Time-dependent FrequencyIn this paper we give an exact invariant for a relativistic linear harmonic oscillator with time-dependent frequency. This is accomplished, following Eliezer and Gray EliezerGray, for the…Bhimsen Shivamoggi, Daniel Reinhart·Mar 16, 2024SaveLearn
Is the Cetaev condition inferable?In the context of holonomic constrained systems the identification of virtual displacements is clear and consolidated: this gives the possibility, once the class of displacements have been combined…Federico Talamucci·Mar 16, 2024SaveLearn
Simple circuit and experimental proposal for the detection of gauge-wavesAharonov-Bohm electrodynamics predicts the existence of traveling waves of pure potentials, with zero electromagnetic fields, denoted as gauge waves, or g-waves for short. In general, these waves…F. Minotti, G. Modanese·Mar 15, 2024SaveLearn
Rotation matrix of a charged symmetrical body: one-parameter family of solutions in elementary functionsEquations of motion of a charged symmetrical body in external constant and homogeneous electric and magnetic fields are deduced starting from the variational problem, where the body is considered as…Alexei A. Deriglazov·Mar 12, 2024SaveLearn
Can the Dirac deltas in dipole fields be ignored in classical interactions?When studying (or teaching) classical electromagnetism, one is bound to deal with the electric field of an ideal electric dipole, as well as its magnetic counterpart. A careful analysis then reveals…Thales Azevedo·Mar 8, 2024SaveLearn
Extreme wave skewing and dispersion spectra of anisotropic elastic platesGuided wave dispersion is commonly assessed by Fourier analysis of the field along a line, resulting in frequency-wavenumber dispersion curves. In anisotropic plates, a point source can generate…Daniel A. Kiefer, Sylvain Mezil, Claire Prada·Mar 8, 2024SaveLearn
Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillatorThe singular parametric oscillators obtained from the one-parameter Darboux deformation/transformation effected upon the classical harmonic oscillator are introduced and discussed in some detail…H. C. Rosu, J. de la Cruz·Mar 7, 2024SaveLearn
On minimizing cyclists' ascent timesWe prove that, given an average power, the ascent time is minimized if a cyclist maintains a constant ground speed regardless of the slope. Herein, minimizing the time is equivalent to maximizing --…Len Bos, Michael A. Slawinski, Raphaël A. Slawinski et al.·Mar 5, 2024SaveLearn
RLC resonator with diode nonlinearity: Bifurcation comparison of numerical predictions and circuit measurementsA nonlinear RLC resonator is investigated experimentally and numerically using bifurcation analysis. The nonlinearity is due to the parallel combination of a semiconductor rectifier diode and a fixed…Edward H. Hellen·Mar 4, 2024SaveLearn
Demonstrating Invalidity of Solution Methods Involved in Solving Compatibility EquationsIn the theory of elasticity, the constraint of compatibility conditions on displacement field is not equivalent to the property of displacement field. The difference may broaden the possibility of…Peng Shi·Mar 1, 2024SaveLearn