Oscillation Equation of a Beam with Fixed and Pivotally Supporter Ends

In recent years, the laser fuze has been widely used in minor caliber mortar projectiles and bombs because of its high accuracy in distance measurement, strong ability to resist electromagnetic interference, high angular resolution and good concealment. As a result, it becomes an irreversible tendency to miniaturize the high power of the laser, especially in military applications. This paper aims to study the factors on the output characteristics of the microlasers. Based on the variation of the inversion density of the particle in the resonant cavity derived from the oscillation equation of the LD-pumped passively Q-switched Cr4+:YAG/ Nd:YAG laser, this paper summarizes some key factors which have impacts on the output of LD-pumped passively Q-switched subnanosecond microlasers, including the initial transmission of the absorber, the reflection of output coupler, the length of the cavity and the radius of the pumping laser beam, and gives the conclusion of the simulation, which provides the basis for the design of the passive Q-switched micro lasers which have high power, high repetition frequency and narrow pulse width.

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Mixed Characteristic Problem for a Nonlinear Oscillation Equation

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2314-8 ◽

2015 ◽

Vol 206 (4) ◽

pp. 329-340

Author(s):

R. Bitsadze

Keyword(s):

Nonlinear Oscillation ◽

Mixed Characteristic ◽

Characteristic Problem ◽

Oscillation Equation

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Oscillation equation of two adjacent dislocation segments

Journal of Physics Conference Series ◽

10.1088/1742-6596/1141/1/012071 ◽

2018 ◽

Vol 1141 ◽

pp. 012071

Author(s):

V V Dezhin

Keyword(s):

Oscillation Equation

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The study of the plasmon modes of square atomic clusters based on the eigen-oscillation equation of charge under the free-electron gas model

International Journal of Modern Physics B ◽

10.1142/s0217979218501394 ◽

2018 ◽

Vol 32 (11) ◽

pp. 1850139 ◽

Cited By ~ 5

Author(s):

Hong-Jie Xue ◽

Reng-Lai Wu ◽

Cheng-Xi Hu ◽

Ming Zhang

Keyword(s):

Electric Fields ◽

Free Electron ◽

Electron Gas ◽

Plasmon Mode ◽

Atomic Clusters ◽

Equation Method ◽

Electron Systems ◽

External Fields ◽

Oscillation Equation ◽

Plasmon Modes

In atomic clusters, plasmon modes are generally gained by the resonant responses for external fields. However, these resonant methods still carry some defects: some plasmon modes may not have been found as that may not have been excited by the external fields. Recently, by employing the extended Hubbard model to describe electron systems of atomic clusters, we have presented the eigen-oscillation equation of charge to study plasmon modes. In this work, based on the free-electron gas model, we further explore the eigen-equation method. Under different external electric fields, some of the plasmon mode spectrums with obvious differences are found, which display the defects of the resonant methods. All the plasmon modes obtained by the resonant methods are predicted by the eigen-equation method. This effectively shows that the eigen-equation method is feasible and reliable in the process of finding plasmon. In addition, various kinds of plasmons are displayed by charge distributions, and the evolution features of plasmon with system parameters are gained by the energy absorption spectrum.

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Effect of a Commercial Air Valve on the Rapid Filling of a Single Pipeline: a Numerical and Experimental Analysis

Water ◽

10.3390/w11091814 ◽

2019 ◽

Vol 11 (9) ◽

pp. 1814 ◽

Cited By ~ 6

Author(s):

Óscar E. Coronado-Hernández ◽

Mohsen Besharat ◽

Vicente S. Fuertes-Miquel ◽

Helena M. Ramos

Keyword(s):

Mathematical Model ◽

Air Water Interface ◽

Water Pipelines ◽

Polytropic Equation ◽

Pipeline Failure ◽

Air Valve ◽

Thermodynamic Variables ◽

Air Pockets ◽

The Mathematical Model ◽

Oscillation Equation

The filling process in water pipelines produces pressure surges caused by the compression of air pockets. In this sense, air valves should be appropriately designed to expel sufficient air to avoid pipeline failure. Recent studies concerning filling maneuvers have been addressed without considering the behavior of air valves. This work shows a mathematical model developed by the authors which is capable of simulating the main hydraulic and thermodynamic variables during filling operations under the effect of the air valve in a single pipeline, which is based on the mass oscillation equation, the air–water interface, the polytropic equation of the air phase, the air mass equation, and the air valve characterization. The mathematical model is validated in a 7.3-m-long pipeline with a 63-mm nominal diameter. A commercial air valve is positioned in the highest point of the hydraulic installation. Measurements indicate that the mathematical model can be used to simulate this phenomenon by providing good accuracy.

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