scholarly journals Main Contributors to the Baseball Bat Head Speed Considering the Generating Factor of Motion-dependent Term

2016 ◽  
Vol 147 ◽  
pp. 197-202 ◽  
Author(s):  
Sekiya Koike ◽  
Kohei Mimura
Keyword(s):  
Dependent Term

Effect of the velocity-dependent potentials on the energy eigenvalues of the Morse potential

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Asim Soylu ◽  
Orhan Bayrak ◽  
Ismail Boztosun
Keyword(s):  
Morse Potential ◽  
State Energy ◽  
Bound State ◽  
Quantum States ◽  
Bound State Energy ◽  
Energy Eigenvalues ◽  
Dependent Term ◽  
Oscillator Type ◽  
Dependent Potential ◽  
Pekeris Approximation

AbstractWe investigate the effect of the isotropic velocity-dependent potentials on the bound state energy eigenvalues of the Morse potential for any quantum states. When the velocity-dependent term is used as a constant parameter, ρ(r) = ρ 0, the energy eigenvalues can be obtained analytically by using the Pekeris approximation. When the velocity-dependent term is considered as an harmonic oscillator type, ρ(r) = ρ 0 r 2, we show how to obtain the energy eigenvalues of the Morse potential without any approximation for any n and ℓ quantum states by using numerical calculations. The calculations have been performed for different energy eigenvalues and different numerical values of ρ 0, in order to show the contribution of the velocity-dependent potential on the energy eigenvalues of the Morse potential.

A Comparison of the Effects of Nonlinear Damping on the Free Vibration of a Single-Degree-of-Freedom System

2012 ◽  
Vol 134 (2) ◽  
Author(s):  
Bin Tang ◽  
M. J. Brennan
Keyword(s):  
Free Vibration ◽  
Equations Of Motion ◽  
Nonlinear Damping ◽  
Degree Of Freedom ◽  
Damping Force ◽  
Single Degree Of Freedom ◽  
Sdof System ◽  
Single Degree ◽  
Dependent Term ◽  
Quadratic Damping

This article concerns the free vibration of a single-degree-of-freedom (SDOF) system with three types of nonlinear damping. One system considered is where the spring and the damper are connected to the mass so that they are orthogonal, and the vibration is in the direction of the spring. It is shown that, provided the displacement is small, this system behaves in a similar way to the conventional SDOF system with cubic damping, in which the spring and the damper are connected so they act in the same direction. For completeness, these systems are compared with a conventional SDOF system with quadratic damping. By transforming all the equations of motion of the systems so that the damping force is proportional to the product of a displacement dependent term and velocity, then all the systems can be directly compared. It is seen that the system with cubic damping is worse than that with quadratic damping for the attenuation of free vibration.

Effects of Angular Dependent Terms in the Interatomic Potential on Defect Properties in TiAl

1994 ◽  
Vol 364 ◽  
Author(s):  
Julia Panova ◽  
Diana Farkas
Keyword(s):  
Interatomic Potential ◽  
Stacking Faults ◽  
Core Structure ◽  
Interatomic Potentials ◽  
The Core ◽  
Embedded Atom ◽  
Dependent Term

AbstractInteratomic potentials of the Embedded Atom and Embedded Defect types were used to study the effect of the angular dependent term in the Embedded Defect potential on the properties of defects in TiAl. The defect properties were computed with interatomic potentials developed with and without angular dependent terms. It was found that the inclusion of the angular dependent terms tends to increase the energies of the APB’s and lower the energies of stacking faults. The effects of the angular term on the relaxation around vacancies and antisites in TiAl was also studied, as well as the core structure of several dislocations in this compound.

scholarly journals Techniques for Schmidt Plate Reductions with Application to GSC1.2

1998 ◽  
Vol 179 ◽  
pp. 381-383
Author(s):  
J. E. Morrison ◽  
S. Röser
Keyword(s):  
Considerable Progress ◽  
Magnitude Range ◽  
Dependent Term

Over the last few years there has been considerable progress in developing successful algorithms for obtaining astrometric quality positions from Schmidt plates which compensate for deficiencies of the polynomial approach; the sub-plate method (Taff 1989), the mask method (Taff et al. 1990), the collocation method (Bucciarelli et al. 1993) the filter method (Röser et al. 1995) and a filter weighting according to the method of infinitely overlapping circles (Morrison et al. 1996b.) However, none of these nor any other studies have investigated the magnitude dependence of the position estimates outside the magnitude range of standard reference catalogs. Often Schmidt plates cover the magnitude range from 6m to 19m (for the GSC it is 6m to 15m). Presently available reference catalogs, however, have a limiting magnitude of V ≈ 10m. Therefore, no magnitude dependent term for fainter stars can be reliably found by reducing the measurements based only on comparisons with reference stars.

Pressure- and Temperature-Dependence of the Electrical Resistivity of Some Nonmagnetic d-electron Amorphous Alloys

1982 ◽  
Vol 37 (11) ◽  
pp. 1235-1240
Author(s):  
G. Fritsch ◽  
J. Wilier ◽  
E. Lüscher
Keyword(s):  
Electrical Resistivity ◽  
Temperature Dependence ◽  
Pressure Dependence ◽  
Amorphous Alloys ◽  
Electron Gas ◽  
Temperature Dependent ◽  
Absolute Value ◽  
Volume Dependence ◽  
Dependent Term ◽  
Scattering Potential

Using the Ziman-formulation a model is derived which describes the pressure dependence of the electrical resistivity of d-electron amorphous alloys. It is shown how the volume dependence of the scattering-potential, electron-gas-properties and the Grüneisenparameter determine the P-dependence of a constant and a temperature dependent term in the resistivity. The absolute value of the resistivity is discussed.

MASSIVE FERMION AND CHIRAL GAUGE SYMMETRY

1990 ◽  
Vol 05 (31) ◽  
pp. 2607-2613 ◽  
Author(s):  
SINYA AOKI
Keyword(s):  
Gauge Symmetry ◽  
Effective Action ◽  
Gauge Theories ◽  
Opposite Sign ◽  
Chiral Anomaly ◽  
Fermion Mass ◽  
Mass Limit ◽  
Massive Fermion ◽  
Dependent Term ◽  
Mass Dependent

A mass-dependent odd-parity term in the effective action of chiral gauge theories as well as the usual mass-independent chiral anomaly have been shown to exist. In particular, this mass-dependent term is equal to the anomaly with opposite sign in the limit of infinite fermion mass, and therefore no odd-parity term remains in this limit. We also consider the different regularizations which produce the Wess-Zumino term in the infinite fermion mass limit.

Higher-Order Stress due to Self Energy of Geometrically Necessary Dislocations

2007 ◽  
Vol 340-341 ◽  
pp. 173-178
Author(s):  
Nobutada Ohno ◽  
Dai Okumura
Keyword(s):  
Size Dependence ◽  
Dislocation Cell ◽  
Higher Order ◽  
The Self ◽  
Initial Yield Stress ◽  
Self Energy ◽  
Dependent Term ◽  
Stress Changes ◽  
Order Stress ◽  
2D And 3D

The self energy of geometrically necessary dislocations (GNDs) in single crystals is considered to inevitably introduce a higher-order stress as the work conjugate to slip gradient. It is pointed out that this higher-order stress changes stepwise in response to in-plane slip gradient and thus explicitly influences the initial yielding of polycrystals. The self energy of GNDs is then incorporated into the strain gradient plasticity theory of Gurtin (2002). The resulting theory is applied to 2D and 3D model crystal grains of diameter D, leading to a D-1-dependent term with a coefficient determined by grain shape. This size effect term is verified using published experimental data of several polycrystalline metals. It is thus found that the D-1-dependent term is successful for predicting not only the grain size dependence of initial yield stress but also the dislocation cell size dependence of flow stress in the submicron to several micron range of D.

Sign in / Sign up

Export Citation Format

Share Document