Demonstration of wave propagation in a periodic structure

1985 ◽  
Vol 53 (6) ◽  
pp. 563-567 ◽  
Author(s):  
Rodney C. Cross
Keyword(s):  
Wave Propagation ◽  
Periodic Structure

Magnetostatic wave propagation in a periodic structure

1976 ◽  
Vol 29 (6) ◽  
pp. 388-391 ◽  
Author(s):  
C. G. Sykes ◽  
J. D. Adam ◽  
J. H. Collins
Keyword(s):  
Wave Propagation ◽  
Periodic Structure ◽  
Magnetostatic Wave

scholarly journals Free Vibration Characteristics of Cylindrical Shells Using a Wave Propagation Method

2001 ◽  
Vol 8 (2) ◽  
pp. 71-84 ◽  
Author(s):  
A. Ghoshal ◽  
S. Parthan ◽  
D. Hughes ◽  
M.J. Schulz
Keyword(s):  
Cylindrical Shell ◽  
Wave Propagation ◽  
Free Vibration ◽  
Periodic Structure ◽  
Natural Frequencies ◽  
Vibration Characteristics ◽  
Structural Element ◽  
Lower Bounding ◽  
Nodal Points ◽  
Wave Propagation Method

In the present paper, concept of a periodic structure is used to study the characteristics of the natural frequencies of a complete unstiffened cylindrical shell. A segment of the shell between two consecutive nodal points is chosen to be a periodic structural element. The present effort is to modify Mead and Bardell's approach to study the free vibration characteristics of unstiffened cylindrical shell. The Love-Timoshenko formulation for the strain energy is used in conjunction with Hamilton's principle to compute the natural propagation constants for two shell geometries and different circumferential nodal patterns employing Floquet's principle. The natural frequencies were obtained using Sengupta's method and were compared with those obtained from classical Arnold-Warburton's method. The results from the wave propagation method were found to compare identically with the classical methods, since both the methods lead to the exact solution of the same problem. Thus consideration of the shell segment between two consecutive nodal points as a periodic structure is validated. The variations of the phase constants at the lower bounding frequency for the first propagation band for different nodal patterns have been computed. The method is highly computationally efficient.

Transverse magneto-plasma wave propagation in a periodic structure

1969 ◽  
Vol 2 (4) ◽  
pp. 619-628 ◽  
Author(s):  
A C Baynham ◽  
A D Boardman
Keyword(s):  
Wave Propagation ◽  
Plasma Wave ◽  
Periodic Structure

Helicon-wave propagation in a periodic structure

1987 ◽  
Vol 35 (14) ◽  
pp. 7334-7337 ◽  
Author(s):  
B. N. Narahari Achar
Keyword(s):  
Wave Propagation ◽  
Periodic Structure ◽  
Helicon Wave

A wavelet-based model of one-dimensional periodic structure for wave-propagation analysis

2009 ◽  
Vol 466 (2113) ◽  
pp. 263-281 ◽  
Author(s):  
Parikshit Sonekar ◽  
Mira Mitra
Keyword(s):  
Wave Propagation ◽  
Frequency Domain ◽  
Periodic Structure ◽  
Stiffness Matrix ◽  
Dynamic Stiffness ◽  
Fe Model ◽  
Loading Conditions ◽  
Dynamic Stiffness Matrix ◽  
One Dimensional ◽  
Propagation Analysis

In this paper, a wavelet-based method is developed for wave-propagation analysis of a generic multi-coupled one-dimensional periodic structure (PS). The formulation is based on the periodicity condition and uses the dynamic stiffness matrix of the periodic cell obtained from finite-element (FE) or other numerical methods. Here, unlike its conventional definition, the dynamic stiffness matrix is obtained in the wavelet domain through a Daubechies wavelet transform. The proposed numerical scheme enables both time- and frequency-domain analysis of PSs under arbitrary loading conditions. This is in contrast to the existing Fourier-transform-based analysis that is restricted to frequency-domain study. Here, the dispersion characteristics of PSs, especially the band-gap features, are studied. In addition, the method is implemented to simulate time-domain wave response under impulse loading conditions. The two examples considered are periodically simply supported beam and periodic frame structures. In all cases, the responses obtained using the present periodic formulation are compared with the response simulated using the FE model without the periodicity assumption, and they show an exact match. This validates the accuracy of the periodic assumption to obtain the time- and frequency-domain wave responses up to a high-frequency range. Apart from this, the proposed method drastically reduces the computational cost and can be implemented for homogenization of PSs.

Attenuation of wave propagation in a novel periodic structure

2011 ◽  
Vol 18 (2) ◽  
pp. 438-443 ◽  
Author(s):  
Ling Zheng ◽  
Yi-nong Li ◽  
A. Baz
Keyword(s):  
Wave Propagation ◽  
Periodic Structure

scholarly journals WAVE PROPAGATION IN ELECTRIC PERIODIC STRUCTURE IN SPACE WITH MODULATION IN TIME (2D+1)

2021 ◽  
Vol 104 ◽  
pp. 145-158
Author(s):  
Jose De Jesus Salazar-Arrieta ◽  
Peter Halevi
Keyword(s):  
Wave Propagation ◽  
Periodic Structure
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