Scattering of High-Frequency Flexural Oscillations in Thin Plates

1999 ◽  
Vol 4 (4) ◽  
pp. 461-479 ◽  
Author(s):  
Gavin R. Thomson ◽  
Christian Constanda
Keyword(s):  
High Frequency ◽  
Thin Plates

High Frequency Ultrasonic Measurements

1988 ◽  
Vol 21 (5) ◽  
pp. 133-136
Author(s):  
N Zarsav
Keyword(s):  
High Frequency ◽  
Polymer Coating ◽  
Steel Sheet ◽  
Lamb Waves ◽  
Thin Plates ◽  
Design Features ◽  
Degree Of Cure ◽  
Double Probe ◽  
Ultrasonic Measurements

The use of high frequency ultrasonic Lamb waves to measure the thickness of thin plates and foils, is discussed and the feasibility of their application to the determination of the degree of cure of polymer coating on coated tin plated steel sheet (as used by the food can industry) is evaluated. The paper also discusses briefly the design features of the purpose built precision double probe ultrasonic goniometer used to carry out these measurements.

Planar inductors using NiZn ferrite thin plates and the application to high-frequency DC-DC converters

1993 ◽  
Vol 29 (6) ◽  
pp. 3231-3233 ◽  
Author(s):  
I. Sasada ◽  
T. Yamaguchi ◽  
K. Harada ◽  
Y. Notohara
Keyword(s):  
High Frequency ◽  
Thin Plates

Radiation conditions for a semi-infinite elastic strip

2005 ◽  
Vol 461 (2056) ◽  
pp. 1163-1179 ◽  
Author(s):  
E Babenkova ◽  
J Kaplunov
Keyword(s):  
High Frequency ◽  
Thin Plates ◽  
Elastic Strip ◽  
Resonance Frequencies ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Plates And Shells ◽  
High Frequency Vibrations ◽  
Thin Plates And Shells ◽  
Radiation Conditions

High-frequency vibrations of a semi-infinite elastic strip with traction-free faces are considered. The conditions on end data that are derived do not allow non-radiating in Sommerfeld's sense of polynomial modes at thickness resonance frequencies. These represent a high-frequency analogue of the well-known decay conditions in statics that agree with the classical Saint-Venant principle. The proposed radiation conditions are applied to the construction of boundary conditions in the theories of high-frequency long-wave vibrations describing slow-varying motions in the vicinity of thickness resonance frequencies. The derivation is based on the Laplace transform technique along with the asymptotic methodology that is typical for thin plates and shells.

scholarly journals Energy Flow Boundary Element Method for Vibration Analysis of One and Two Dimension Structures

2008 ◽  
Vol 15 (1) ◽  
pp. 33-50 ◽  
Author(s):  
Ho-Won Lee ◽  
Suk-Yoon Hong ◽  
Do-Hyun Park ◽  
Hyun-Wung Kwon
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
High Frequency ◽  
Energy Flow ◽  
Vibration Analysis ◽  
Thin Plates ◽  
Two Dimensional ◽  
Flow Boundary ◽  
Energy Equations ◽  
Element Method

In this paper, Energy Flow Boundary Element Method (EFBEM) was developed to predict the vibration behavior of one- and two-dimensional structures in the medium-to-high frequency ranges. Free Space Green functions used in the method were obtained from EFA energy equations. Direct and indirect EFBEMs were formulated for both one- and two-dimensional cases, and numerically applied to predict the energy density and intensity distributions of simple Euler-Bernoulli beams, single rectangular thin plates, and L-shaped thin plates vibrating in the medium-to-high frequency ranges. The results from these methods were compared with the EFA solutions to verify the EFBEM.

Thermo-viscoelastic analysis of high-frequency motions of thin plates

2000 ◽  
Vol 143 (1-2) ◽  
pp. 91-111 ◽  
Author(s):  
G. A. Altay ◽  
M. C. D�kmeci
Keyword(s):  
High Frequency ◽  
Thin Plates ◽  
Viscoelastic Analysis

TRANSMISSION OF SOUND THROUGH THIN PLATES

1939 ◽  
Vol 17a (9) ◽  
pp. 179-193 ◽  
Author(s):  
F. H. Sanders
Keyword(s):  
Satisfactory Agreement ◽  
Elastic Constants ◽  
High Frequency ◽  
Critical Angle ◽  
Wave Length ◽  
Thin Plates ◽  
Recent Theory ◽  
Transverse Waves ◽  
Longitudinal Waves ◽  
High Frequency Sound

The transmission of high frequency sound through plates of brass and nickel has been studied for angles of incidence ranging from 0 to 70 degrees, using effective plate thicknesses varying from one-twentieth of a wave-length to one wave-length. In addition to strong transmissions in the region below the normal critical angle, very sharp and intense transmission maxima are observed at angles of incidence greatly in excess of the critical angle. These transmission maxima fall within three clearly denned angular regions: (i) angles between zero and the critical angle for longitudinal waves; (ii) angles between the critical angle for longitudinal waves and the critical angle for transverse waves; and (iii) angles above the critical angle for transverse waves. In Regions (i) and (ii) the observed data are in satisfactory agreement with a recent theory advanced by Reissner, and good values of the elastic constants are obtained. By an extension of Lamb's theory for flexural vibrations in bars the results in Region (iii) can be interpreted.

High-Frequency Extensional Vibrations of Plates

1956 ◽  
Vol 23 (2) ◽  
pp. 277-283
Author(s):  
T. R. Kane ◽  
R. D. Mindlin
Keyword(s):  
Plane Stress ◽  
High Frequency ◽  
Circular Disk ◽  
Thin Plates ◽  
Axially Symmetric ◽  
Thick Plates

Abstract The equations of generalized plane stress are applicable to the extensional vibrations of plates only for the low modes of motion of thin plates. In this paper equations are derived which are applicable to both low and high modes of thin plates and to low modes of thick plates. As an example, the equations are solved for the case of axially symmetric vibrations of a circular disk and comparisons are made with the theory of generalized plane stress and with experiments.

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