Dynamic interfacial trapping of flexural waves in structured plates

The paper presents new results on the localization and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, localized waves are identified and studied at the interface boundary between the homogeneous part of the flexural plate and the part occupied by rigid pins. A formal connection has been made with the dispersion properties of flexural Bloch waves in an infinite doubly periodic array of rigid pins. Special attention is given to regimes corresponding to standing waves of different types as well as Dirac-like points that may occur on the dispersion surfaces. A single half-grating problem, hitherto unreported in the literature, is also shown to bring interesting solutions.

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Shortest-Path-Finder Algorithm in a Two-Dimensional Array of Nonlinear Electronic Circuits

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127498002011 ◽

1998 ◽

Vol 08 (12) ◽

pp. 2493-2501 ◽

Cited By ~ 5

Author(s):

Alberto P. Muñuzuri ◽

Leon O. Chua

Keyword(s):

Shortest Path ◽

Full Description ◽

Two Dimensional ◽

Electronic Circuits ◽

Dimensional Array ◽

Black And White ◽

Straight Line ◽

Intermediate States ◽

Different Types ◽

Bistable Regime

A two-dimensional array of diffusively-coupled nonlinear electronic circuits, Chua's cells, operating in a bistable regime, is used to find the shortest path connecting two points of a given image. Images are previously stored in the system by modulating the diffusion coefficients. Different types of images were considered, from black and white pictures (where 0 means no propagation and 1 propagation), to analog figures (with many intermediate states) and, in all cases, the algorithm used for such calculations succeeded to find the shortest path. The full description of the algorithm is here described and applied to nontrivial cases where the shortest path strongly differs from the straight line.

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Two-Dimensional Stress Analysis of an Infinite Plate with a Doubly Periodic Array

Transactions of the Japan Society of Mechanical Engineers ◽

10.1299/kikai1938.43.4380 ◽

1977 ◽

Vol 43 (376) ◽

pp. 4380-4380

Author(s):

Koki MIZOGUCHI ◽

Katsutoshi YAMADA

Keyword(s):

Stress Analysis ◽

Infinite Plate ◽

Periodic Array ◽

Two Dimensional ◽

Doubly Periodic Array

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Two-Dimensional Stress Analysis of an Infinite plate with a Doubly Periodic Array of Elliptic Holes

Bulletin of JSME ◽

10.1299/jsme1958.20.1515 ◽

1977 ◽

Vol 20 (150) ◽

pp. 1515-1523 ◽

Cited By ~ 3

Author(s):

Koki MIZOGUCHI ◽

Katsuyoshi YAMADA

Keyword(s):

Stress Analysis ◽

Infinite Plate ◽

Periodic Array ◽

Two Dimensional ◽

Doubly Periodic Array

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Introductory paper

Symposium - International Astronomical Union ◽

10.1017/s0074180900053031 ◽

1966 ◽

Vol 24 ◽

pp. 3-5

Author(s):

W. W. Morgan

Keyword(s):

Line Intensity ◽

Classification Scheme ◽

Two Dimensional ◽

Spectral Classification ◽

Dimensional Array ◽

Rr Lyrae ◽

Metallic Line ◽

Introductory Paper ◽

Parameter Varying ◽

Definition Of

1. The definition of “normal” stars in spectral classification changes with time; at the time of the publication of theYerkes Spectral Atlasthe term “normal” was applied to stars whose spectra could be fitted smoothly into a two-dimensional array. Thus, at that time, weak-lined spectra (RR Lyrae and HD 140283) would have been considered peculiar. At the present time we would tend to classify such spectra as “normal”—in a more complicated classification scheme which would have a parameter varying with metallic-line intensity within a specific spectral subdivision.

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