Modelling of the motion of a Mecanum-wheeled vehicleThe present document aims at developing the formalism needed in order to describe the two-dimensional motion of a vehicle with Mecanum wheels, including the effects of resistive friction. The…Evangelos Matsinos·Nov 10, 2012SaveLearn
Generalized entropies and logarithms and their duality relationsFor statistical systems that violate one of the four Shannon-Khinchin axioms, entropy takes a more general form than the Boltzmann-Gibbs entropy. The framework of superstatistics allows one to…Rudolf Hanel, Stefan Thurner, Murray Gell-Mann·Nov 9, 2012SaveLearn
The role of the Riemann-Silberstein vector in classical and quantum theories of electromagnetismIt is shown that the use of the Riemann-Silberstein (RS) vector greatly simplifies the description of the electromagnetic field both in the classical domain and in the quantum domain. In this review…Iwo Bialynicki-Birula, Zofia Bialynicka-Birula·Nov 8, 2012SaveLearn
Blackbody Friction: Analytic expressions for velocity and positionThe equations of motion are solved analytically for speed and position for the case of blackbody friction on objects traveling at relativistic speeds with respect to observers fixed in the frame of…Joseph West·Nov 8, 2012SaveLearn
Electromagnetic momentum in a dielectric and the energy--momentum tensorThe Abraham--Minkowski momentum controversy is the outwardly visible symptom of an inconsistency in the use of the energy-momentum tensor in the case of a plane quasimonochromatic field in a simple…Michael E. Crenshaw·Nov 8, 2012SaveLearn
A Circuit-based Model for the Interpretation of Perfect Metamaterial AbsorbersA popular absorbing structure, often referred to as Perfect Metamaterial Absorber, comprising metallic periodic pattern over a thin low-loss grounded substrate is studied by resorting to an efficient…Filippo Costa, Simone Genovesi, Agostino Monorchio et al.·Nov 8, 2012SaveLearn
Half-page derivation of the Thomas precessionInstantaneous derivation of the Thomas precession with only basic vector calculus.Andrzej Dragan, Tomasz Odrzygóźdź·Nov 8, 2012SaveLearn
Splitting of self-collimated beams in two-dimensional sonic crystalsAn easy-to-implement scheme to split self-collimated acoustic beams in sonic crystals (SCs) is proposed by introducing line-defects into SCs, by which an incoming self-collimated beam can be split…Bo Li, Jun-Jun Guan, Ke Deng et al.·Nov 7, 2012SaveLearn
On the Müller paradox for thermal-incompressible mediaIn his monograph Thermodynamics, I. Müller proves that for incompressible media the volume does not change with the temperature. This Müller paradox yields an incompatibility between experimental…Henri Gouin, Augusto Muracchini, Tommaso Ruggeri·Nov 6, 2012SaveLearn
Trajectory of a body in a resistant medium: an elementary derivationA didactical exposition of the classical problem of the trajectory determination of a body, subject to the gravity in a resistant medium, is proposed. Our revisitation is aimed at showing a…Riccardo Borghi·Nov 5, 2012SaveLearn
Transverse shear warping functions for anisotropic multilayered platesIn this work, transverse shear warping functions for an equivalent single layer plate model are formulated from a variational approach. The part of the strain energy which involves the shear…Alexandre Loredo·Nov 5, 2012SaveLearn
Fan affinity laws from a collision modelThe performance of a fan is usually estimated from hydrodynamical considerations. The calculations are long and involved and the results are expressed in terms of three affinity laws. In this work we…Shayak Bhattacharjee·Nov 4, 2012SaveLearn
Eliminating Electromagnetic Scattering from Small ParticlesThis paper presents and discusses the conditions for zero electromagnetic scattering by electrically small particles. We consider the most general bi-anisotropic particles, characterized by four…Joni Vehmas, Younes Ra'di, Antti Karilainen et al.·Oct 31, 2012SaveLearn
Magnet traveling through a conducting pipe: a variation on the analytical approachWe present an analytical study of magnetic damping. In particular, we investigate the dynamics of a cylindrical neodymium magnet as it moves through a conducting tube. Owing to the very high degree…Benjamin Irvine, Matthew Kemnetz, Asim Gangopadhyaya et al.·Oct 27, 2012SaveLearn
Unintended consequences of imprecise Notation -- an example from mechanicsWe present a conundrum that results from the imprecise use of notation for partial derivatives. Taking an example from mechanics, we show that lack of proper care in representing partial derivatives…Asim Gangopadhyaya, Gordon Ramsey·Oct 27, 2012SaveLearn
Energy, Entropy, Information, and IntelligenceThe paper presents a lightweight discussion of relations between energy, entropy, information, and intelligence, based on an analysis of the energy needed for computation.Vladimir Cerny·Oct 26, 2012SaveLearn
Transformation Acoustics in Generic Elastic MediaIn this work a transformation acoustics scheme for generic elastic media is developed. Our approach starts form the decomposition of the elasticity tensor in terms of its eigentensors, an idea…Luzi Bergamin·Oct 25, 2012SaveLearn
Determining the area of convergence in Bloodstain Pattern Analysis: a probabilistic approachA complete procedure for identifying the area of convergence of blood drops originated from a single static source is presented. Both for bloodstains lying on an horizontal and on a vertical plane a…Francesco Camana·Oct 22, 2012SaveLearn
Synthetic description of the piano soundboard mechanical mobilityAn expression of the piano soundboard mechanical mobility (in the direction normal to the soundboard) depending on a small number of parameters and valid up to several kHz is given in this…Kerem Ege, Xavier Boutillon·Oct 21, 2012SaveLearn
A technique for measuring velocity and attenuation of ultrasound in liquid foamsWe describe an experimental setup specifically designed for measuring the ultrasonic transmission through liquid foams, over a broad range of frequencies (60-600 kHz). The question of determining the…Juliette Pierre, F. Elias, Valentin Leroy·Oct 19, 2012SaveLearn
Global and local synthetic descriptions of the piano soundboardUp to around 1.1 kHz, the soundboard of the piano behaves like a homogeneous plate whereas upper in frequency, it can be described as a set of waveguides defined by the ribs. In consequence: a) The…Kerem Ege, Xavier Boutillon·Oct 18, 2012SaveLearn
Electrostatic Conversion for Vibration Energy HarvestingThis chapter focuses on vibration energy harvesting using electrostatic converters. It synthesizes the various works carried out on electrostatic devices, from concepts, models and up to prototypes,…S. Boisseau, G. Despesse, B. Ahmed Seddik·Oct 16, 2012SaveLearn
Green's function for symmetric loading of an elastic sphere with application to contact problemsA compact form for the static Green's function for symmetric loading of an elastic sphere is derived. The expression captures the singularity in closed form using standard functions and quickly…A. S. Titovich, A. N. Norris·Oct 16, 2012SaveLearn
Numerical and experimental analyses of resin infusion manufacturing processes of composite materialsLiquid resin infusion (LRI) processes are promising manufacturing routes to produce large, thick, or complex structural parts. They are based on the resin flow induced, across its thickness, by a…Peng Wang, Sylvain Drapier, Jérôme Molimard et al.·Oct 16, 2012SaveLearn
The two capacitor problem revisited: simple harmonic oscillator model approachThe well-known two-capacitor problem, in which exactly half the stored energy disappears when a charged capacitor is connected to an identical capacitor is discussed based on the mechanical harmonic…Keeyung Lee·Oct 15, 2012SaveLearn