Numerical analysis of total field propagation in linear and nonlinear single-mode tapered fibers

2003 ◽  
Author(s):  
E.A. Romanova ◽  
L.A. Melnikov ◽  
E.V. Bekker
Keyword(s):  
Numerical Analysis ◽  
Single Mode ◽  
Total Field ◽  
Linear And Nonlinear

Interpreting Proper Orthogonal Modes in Vibrations

1997 ◽  
Author(s):  
B. F. Feeny
Keyword(s):  
Distributed System ◽  
Normal Modes ◽  
Single Mode ◽  
Dominant Mode ◽  
Coordinate Space ◽  
Nonlinear Simulation ◽  
Principal Axes ◽  
Linear And Nonlinear ◽  
Proper Orthogonal Modes ◽  
Proper Orthogonal

Abstract We investigate the interpretation of proper orthogonal modes (POMs) of displacements in both linear and nonlinear vibrations. The POMs in undamped linear symmetric systems can represent linear natural modes if the mass distribution is known. This is appoximately true in a distributed system if it is discretized uniformly. If a single mode dominates, the dominant POM approximates the dominant mode. This is also true if a distributed system is discretized arbitrarily. Generally, the POMs represent the principal axes of inertia of the data in the coordinate space. For synchronous nonlinear normal modes, the dominant POM represents a best fit of the nonlinear modal curve. Linear and nonlinear simulation examples are presented.

Numerical analysis of the Raman spectrum evolution and soliton pulse generation in single-mode fibers

1991 ◽  
Vol 8 (8) ◽  
pp. 1626 ◽  
Author(s):  
E. A. Golovchenko ◽  
P. V. Mamyshev ◽  
A. N. Pilipetskii ◽  
E. M. Dianov
Keyword(s):  
Raman Spectrum ◽  
Numerical Analysis ◽  
Single Mode ◽  
Pulse Generation ◽  
Soliton Pulse

Numerical Analysis of Single Mode Panel Flutter in a Viscous Gas Flow

2010 ◽  
Author(s):  
Vasily V. Vedeneev
Keyword(s):  
Numerical Analysis ◽  
Gas Flow ◽  
Single Mode ◽  
Panel Flutter ◽  
Viscous Gas ◽  
Analytical Results ◽  
Require Solution ◽  
Mach Numbers

In this paper single mode panel flutter, which occurs at low supersonic Mach numbers, is studied. Numerical analysis which does not require solution of coupled FSI problem has been conducted. Flutter boundaries obtained are compared with previously known analytical results.

Application of Data Visualization and Numerical Analysis for Evaluating Propagation of Uncertainty

2011 ◽  
Vol 103 ◽  
pp. 343-347
Author(s):  
Xin Bian ◽  
Xin Zhou ◽  
Hong Fang ◽  
Ke Liu ◽  
Xiao Chuan Gan ◽  
...  
Keyword(s):  
Quantitative Analysis ◽  
Numerical Analysis ◽  
Data Visualization ◽  
Appropriate Use ◽  
Propagation Of Uncertainty ◽  
Use Of Data ◽  
Accurate Quantitative Analysis ◽  
Key Factor ◽  
Linear And Nonlinear ◽  
Using Data

Propagation of uncertainty is a key factor in uncertainty evaluation. We propose a method using data visualization and numerical analysis for evaluating propagation of uncertainty. In this paper, the main stages of the method are described. Then, the implementation of the method in linear and nonlinear model is illustrated through some examples. These examples show appropriate use of data visualization and numerical analysis can be helpful to provide a concise qualitative overview and accurate quantitative analysis for the uncertainty.

Stability of Elastic Orthotropic Circular Cylindrical Vessels

2010 ◽  
Author(s):  
Krzysztof Magnucki ◽  
Leszek Wittenbeck
Keyword(s):  
Numerical Analysis ◽  
Critical Pressure ◽  
Linear Analysis ◽  
External Pressure ◽  
Second Step ◽  
Nonlinear Buckling ◽  
Post Buckling ◽  
Analytical Formulas ◽  
Linear And Nonlinear ◽  
Nonlinear Buckling Analysis

This paper is devoted to stability investigation of orthotropic circular cylindrical vessels subjected to external pressure. An untypical orthotropic structure that consist of two layers: smooth-external and corrugated-internal is proposed. The investigation is divided into two steps. In first one analytical formulas describing buckling behaviour are derived. In second step numerical analysis is performed by using FEM to obtain the correlation between analytical and numerical results. Authors also considered linear and nonlinear buckling analysis. During the linear analysis the influence of vessel geometry on critical pressure is determined. Nonlinear analysis is carried out to create equilibrium paths which show the behaviour of vessels in post-buckling state. The results of the analysis are presented in figures.

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