Vibration Spectrum of Copper by Dayal's Secular Determinant

1962 ◽  
Vol 37 (7) ◽  
pp. 1576-1577 ◽  
Author(s):  
B. B. Tripathi
Keyword(s):  
Vibration Spectrum ◽  
Secular Determinant

Vibration spectrum of silver based on metallic interaction

1962 ◽  
Vol 270 (1341) ◽  
pp. 212-218 ◽  
Keyword(s):  
Vibration Spectrum ◽  
Dispersion Relations ◽  
Matrix Elements ◽  
Specific Heats ◽  
The Third ◽  
The Matrix ◽  
Electrostatic Contribution ◽  
Set Up ◽  
Experimental Values ◽  
Secular Determinant

A secular determinant for silver has been set up, in which the ion-ion force constants have been derived from known expressions appearing in the theory of metallic cohesion. The matrix elements have been represented as the sum of three terms. One of these arises from the Coulomb interaction of the ions and has been taken from Kellermann’s work on sodium chloride. The second mainly owes its origin to the exchange forces but includes any effect due to the non-spherical nature of the Fermi surface. It has been calculated from the experimental values of the shear constants after subtracting the electrostatic contribution. The third term is due to the volume forces and has been evaluated by means of two dispersion relations given respectively by de Launay and Bhatia. For this purpose, the bulk modulus for the volume forces has been calculated by Dayal & Tripathi’s method. Vibration frequencies and the specific heats have been calculated separately by the use of both the dispersion relations. Both the theoretical 0-T curves agree with the experimental curve at all temperatures within the accuracy of the calculations.

Quantum chemical prediction of 2H-pyran vibration spectrum

1990 ◽  
Vol 55 (1) ◽  
pp. 10-20 ◽  
Author(s):  
Stanislav Böhm ◽  
Josef Kuthan
Keyword(s):  
Vibrational Spectrum ◽  
Ab Initio ◽  
Quantum Chemical ◽  
Vibration Spectrum ◽  
Equilibrium Geometry ◽  
Heterocyclic Molecule ◽  
Vibrational Transitions ◽  
Correlation Corrections

Ab initio MO optimalization of the 2H-pyran molecule leads to a defined equilibrium geometry of this so far not identified heterocyclic molecule and to a physical justification of its existence. More advanced nonempirical wavefunctions and temperature corrections indicate that heterocyclic molecule I is energetically less stable than non-cyclic isomers II and III. Wavenumbers of fundamental vibrational transitions of heterocycle I and also known (2E)-2,4-pentadienal (IIIb were calculated using 3-21 G wavefunctions. The vibrational spectrum of compound I is predicted on the basis of correlation corrections.

Vibration Analysis of a Screw Pump Unit

2013 ◽  
Vol 753-755 ◽  
pp. 1727-1730
Author(s):  
Yue Zhang ◽  
You Hong Xiao ◽  
Jun Weng ◽  
Wan You Li
Keyword(s):  
Mathematical Method ◽  
Vibration Analysis ◽  
Vibration Spectrum ◽  
Vibration Response ◽  
Fe Model ◽  
Force Response ◽  
Pump Unit ◽  
Surface Integral ◽  
Screw Pump

In this paper, the vibration of a three screw pump was studied. Firstly the vibration response of the pump was tested. Then the FE model of the pump was constructed and the modals of it were calculated. The exactness of the result was confirmed by the testing modals and the reasonable of the FE model was verified at the same time. Finally, the force acted on rotors due to pressure was calculated by the mathematical method of surface integral. The force was loaded on the FE model and the force response was predicted, which represented the basic vibration of the screw pump. Based on the work above, the vibration spectrum of the screw pump was analyzed.

Modeling the Effects of Underwater Detonation Wave

2013 ◽  
Vol 588 ◽  
pp. 175-183
Author(s):  
Andrzej Grządziela
Keyword(s):  
Vibration Spectrum ◽  
Water Environment ◽  
Underwater Explosion ◽  
Impulse Loading ◽  
Structure Model ◽  
Measuring Systems ◽  
Shaft Line ◽  
Hull Structure ◽  
On Line ◽  
Vibration Measuring

Minehunters are subjected to specific sea loads due to waving and dynamical impacts associated with underwater explosion. Sea waving can be sufficiently exactly modeled by means of statistical methods. Much more problems arise from modeling impacts due to underwater explosion. Knowledge of a character of impulse loading which affects ship shaft line can make it possible to identify potential failures by means of on-line vibration measuring systems. The problem of influence of sea mine explosion on hull structure is complex and belongs to more difficult issues of ship dynamics. Underwater explosion is meant as a violent upset of balance of a given system due to detonation of explosives in water environment. A paper presents a proposal of identification of a degree of hazard the ships hull forced from underwater explosion. A theoretical analysis was made of influence of changes of hull structure in vicinity of hull. The main problem of naval vessels is a lack of dynamical requirements of stiffness of the hull. Modeled signals and hull structure were recognized within sensitive symptoms of three sub models: model of hull structure, model of impact and model of propulsion system. All sub models allow testing forces and their responses in vibration spectrum using SIMULINK software and FEM models.

Thermal vibration spectrum for the Ba1−xKxBiO3 lattice

1991 ◽  
Vol 174 (1-4) ◽  
pp. 360-363 ◽  
Author(s):  
M.G. Zemlyanov ◽  
P.P. Parshin ◽  
P.I. Soldatov ◽  
N.V. Anshukova ◽  
A.I. Golovashkin ◽  
...  
Keyword(s):  
Vibration Spectrum ◽  
Thermal Vibration

Accurate Potential Energy Curve for B2. Ab Initio Elucidation of the Experimentally Elusive Ground State Rotation-Vibration Spectrum

2012 ◽  
Vol 116 (7) ◽  
pp. 1717-1729 ◽  
Author(s):  
Laimutis Bytautas ◽  
Nikita Matsunaga ◽  
Gustavo E. Scuseria ◽  
Klaus Ruedenberg
Keyword(s):  
Potential Energy ◽  
Ab Initio ◽  
Ground State ◽  
Potential Energy Curve ◽  
Vibration Spectrum ◽  
Energy Curve

An investigation of tool wear and the vibration spectrum in milling

Wear ◽  
1983 ◽  
Vol 91 (2) ◽  
pp. 219-234 ◽  
Author(s):  
N.K. Mehta ◽  
P.C. Pandey ◽  
G. Chakravarti
Keyword(s):  
Tool Wear ◽  
Vibration Spectrum
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