Dispersion studies of a single-mode triangular-index fiber with a trench by the vector mode analysis

1990 ◽  
Vol 29 (36) ◽  
pp. 5343 ◽  
Author(s):  
Gar Lam Yip ◽  
Jingwen Jiang
Keyword(s):  
Single Mode ◽  
Mode Analysis ◽  
Vector Mode

Vibration of Nonuniform Beams Under Moving Point Loads: An Approximate Analytical Solution in Time Domain

2017 ◽  
Vol 17 (03) ◽  
pp. 1750035 ◽  
Author(s):  
C. P. Sudheesh Kumar ◽  
C. Sujatha ◽  
K. Shankar
Keyword(s):  
Approximate Analytical Solution ◽  
Time Integration ◽  
Single Mode ◽  
Mode Analysis ◽  
Moving Loads ◽  
The Finite Element Method ◽  
Require Time ◽  
Analytical Formulae ◽  
Clamped Beams ◽  
Forced Responses

The forced-free responses of nonuniform beams under moving point loads are analyzed in this paper. Simple approximate analytical formulae for the forced responses of undamped nonuniform beams, derived using the fundamental mode by the Rayleigh–Ritz (R–R) method, are presented. The responses of both simply supported and clamped–clamped beams are analyzed. The responses are also determined by the finite element method (FEM) in which nonuniform elements are used for fast convergence. It is found that the present method yields results that are very close to those obtained by the FEM. As this method does not require time integration, it is faster and computationally more efficient. Though the single-mode analysis of forced vibration of uniform beams under moving loads has been done by several researchers, its application to nonuniform beams has not been reported.

scholarly journals Single-mode analysis of Yb-doped double-cladding distributed spectral filtering photonic crystal fibers

2010 ◽  
Vol 18 (26) ◽  
pp. 27197 ◽  
Author(s):  
Enrico Coscelli ◽  
Federica Poli ◽  
Thomas T. Alkeskjold ◽  
Davide Passaro ◽  
Annamaria Cucinotta ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Photonic Crystal Fibers ◽  
Single Mode ◽  
Mode Analysis ◽  
Spectral Filtering ◽  
Crystal Fibers

Expanded-core channel waveguides: Single-mode analysis and application

2008 ◽  
Vol 281 (15-16) ◽  
pp. 3980-3984
Author(s):  
Yeng-Cheng Hu ◽  
Likarn Wang
Keyword(s):  
Single Mode ◽  
Mode Analysis ◽  
Channel Waveguides

scholarly journals Simplified VIV Response of Partially Strake-Covered Pipe Spans

2021 ◽  
Author(s):  
Ralf Peek ◽  
Decao Yin ◽  
Jie Wu ◽  
Malcolm Carr ◽  
Sze Yu Ang ◽  
...  
Keyword(s):  
Response Function ◽  
Single Mode ◽  
Added Mass ◽  
Mode Analysis ◽  
Frequency Domain Method ◽  
Assessment Practice ◽  
Damping Parameter ◽  
Wave Effects ◽  
Mass Functions ◽  
Forward Extension

A simplified method for the fatigue assessment for partially strake-covered pipeline spans is provided and calibrated so that for the bare pipe case it is consistent with the current DNVGL Recommended Practice (DNVGL-RP-F105). It is based on a Rayleigh-Ritz approximation using the first undamped mode shape. In that sense it is equivalent to a single-mode analysis using Shear7, except that it accounts for frequency-dependent added mass, and the formulation is presented in a compact and convenient non-dimensional form. The method presented may also be considered a simplification of that in Vivana in that it does not account for propagating wave effects, and is therefore named “Sivana”.Like any frequency-domain method Sivana is based on the assumption of harmonic response. This requires excitation and added mass functions that define a harmonic hydrodynamic force as a function of the harmonic motion. On the other hand, current practice by DNVGL-RP-F105 is based on a response function, which gives VIV amplitude as function of reduced velocity and the Scruton mass-damping parameter Ks. To bridge this gap, an inversion technique is developed whereby the excitation function for bare pipe is derived from the DNVGL-RP-F105 response function, such that for bare pipe the Sivana calculation will lead to the same response amplitudes as DNVGL-RP-F105. The Sivana method is illustrated by an example involving a single span with different degrees of strake coverage centered at midspan.Although the Sivana method might be considered a natural and straight-forward extension of current span assessment practice to include partial strake coverage, caution is in order for certain approximations in the DNVGL-RP-F105 response function may be less appropriate for the use in this paper, than for the use envisioned by the developers of the DNVGL guidance.

Phase partition and identification based on a two-step method for batch process

2018 ◽  
Vol 40 (16) ◽  
pp. 4472-4483 ◽  
Author(s):  
Runxia Guo ◽  
Na Zhang ◽  
Jiaqi Wang ◽  
Jiankang Dong
Keyword(s):  
Fault Diagnosis ◽  
Principal Component ◽  
Single Mode ◽  
Batch Process ◽  
Mode Analysis ◽  
Step Method ◽  
Phase Partition ◽  
And Performance ◽  
Different Characteristics ◽  
Ap Clustering

The batch process is a batch-repeated production process, which shows a multiple modal switching within the batch. This makes it difficult to use a single-mode analysis method to achieve accurate modeling and fault diagnosis. Therefore, a novel two-step phase partition idea is proposed based on improved affinity propagation (AP) clustering and sub-phase similarity diminishing scan (PSDS) method. In order to capture the dynamic characteristics of the modes switching, the improved AP clustering is used for phase preliminary partition, in which an effective method that is more suitable for complex batch process is proposed to calculate the similarity. For sub-phases generated by the phase preliminary partition, the internal process of each sub-phase also varies obviously with the development of duration, so an innovative method PSDS is proposed to implement phase fine partition. Then each sub-phase scanned by the PSDS method is identified and divided into stable parts and transition parts, which further reflects the change trend within the sub-phase. For the outliers and misclassification points that may arise during the process of phase partition, the solutions are put forward, respectively. Thus, the partition results with different characteristics are modeled and monitored separately by using the method of principal component analysis (PCA). A practical application on batch process, aircraft steering engine platform fault diagnosis experiment, is given to conform the feasibility and performance of the proposed method.

Vector mode analysis of a Young interferometer

2006 ◽  
Vol 31 (7) ◽  
pp. 858 ◽  
Author(s):  
Franco Gori ◽  
Massimo Santarsiero ◽  
Riccardo Borghi
Keyword(s):  
Mode Analysis ◽  
Vector Mode
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