scholarly journals Exact solution for the acoustical impulse response of a line source above an absorbing plane

2018 ◽  
Vol 144 (3) ◽  
pp. 1539-1549 ◽  
Author(s):  
Martin Ochmann
Keyword(s):  
Exact Solution ◽  
Impulse Response ◽  
Line Source

Diffraction of impulsive elastic waves by a fluid cylinder

1974 ◽  
Vol 75 (3) ◽  
pp. 391-404 ◽  
Author(s):  
Ramanand Jha
Keyword(s):  
Exact Solution ◽  
Circular Cylinder ◽  
Elastic Medium ◽  
Elastic Waves ◽  
Line Source ◽  
Inviscid Fluid ◽  
Geometrical Theory ◽  
Shadow Zone ◽  
Integral Transformations ◽  
Geometrical Theory Of Diffraction

AbstractIn this paper, the problem of diffraction of an impulsive P wave by a fluid circular cylinder has been considered. The cylinder is embedded in an unbounded isotropic homogeneous elastic medium and it is filled with inviscid fluid material. The line source, giving rise to the incident front, is situated outside the cylinder parallel to its axis.The exact solution of the problem is obtained by using the method of dual integral transformations. The solution is evaluated approximately to obtain the motion on the wave front in the shadow zone of the elastic medium. Further, we interpret the approxi mate solutions in terms of Keller's geometrical theory of diffraction. Our result also gives a correction to an earlier investigation of the similar problem by Knopoff and Gilbert(s).

Vertex generated waves outside metallic wedges

1961 ◽  
Vol 57 (2) ◽  
pp. 393-400 ◽  
Author(s):  
W. E. Williams ◽  
L. Rosenhead
Keyword(s):  
Exact Solution ◽  
Difference Equation ◽  
Boundary Value Problem ◽  
Surface Impedance ◽  
Line Source ◽  
Complete Agreement ◽  
Magnetic Line ◽  
Arbitrary Angle ◽  
Surface Reactance ◽  
The Waves

ABSTRACTA study is made of the waves generated by a magnetic line source placed at the vertex of a wedge of high conductivity and arbitrary angle. The boundary-value problem is reduced to the solution of a difference equation and an exact solution obtained. The method is also applied to the case of dielectric coated wedges where the surface reactance and resistance are arbitrary, and the propagation of surface waves along such surfaces is considered briefly. The forms of the solution for large and small values of the surface impedance are obtained and show complete agreement with the known results available for a right-angled wedge and a plane.

On cylindrical waves in stratified media: high frequency refraction and diffraction at a plane interface

1970 ◽  
Vol 67 (1) ◽  
pp. 133-161 ◽  
Author(s):  
I. Roebuck
Keyword(s):  
Exact Solution ◽  
Wave Equation ◽  
High Frequency ◽  
Line Source ◽  
Dielectric Medium ◽  
Plane Interface ◽  
Stratified Media ◽  
Cylindrical Waves ◽  
Cylindrical Obstacle ◽  
High Frequency Waves

Introduction. The problem of the scattering of high-frequency waves, which emanate from a line source in a homogeneous isotropic dielectric medium and impinge upon a cylindrical obstacle, has been attacked in a variety of ways. In certain cases, where both the shape of the obstacle and the conditions to be satisfied on its boundary are particularly convenient, an exact solution may be found by separation of the wave equation (see, for example, Marcuvitz (l)), but in general some form of approximation is necessary to obtain an explicit answer.

scholarly journals Exact Solution of Impulse Response to a Class of Fractional Oscillators and Its Stability

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Ming Li ◽  
S. C. Lim ◽  
Shengyong Chen
Keyword(s):  
Exact Solution ◽  
Closed Form ◽  
Impulse Response ◽  
Fractional Order ◽  
System Analysis ◽  
Stability Behavior ◽  
Single Degree ◽  
Fractional Oscillator ◽  
The Stability ◽  
Typical Model

Oscillator of single-degree-freedom is a typical model in system analysis. Oscillations resulted from differential equations with fractional order attract the interests of researchers since such a type of oscillations may appear dramatic behaviors in system responses. However, a solution to the impulse response of a class of fractional oscillators studied in this paper remains unknown in the field. In this paper, we propose the solution in the closed form to the impulse response of the class of fractional oscillators. Based on it, we reveal the stability behavior of this class of fractional oscillators as follows. A fractional oscillator in this class may be strictly stable, nonstable, or marginally stable, depending on the ranges of its fractional order.

Exact solution to line source scattering by an ideal left-handed wedge

2005 ◽  
Vol 72 (5) ◽  
Author(s):  
Cesar Monzon ◽  
Donald W. Forester ◽  
Peter Loschialpo
Keyword(s):  
Exact Solution ◽  
Line Source ◽  
Left Handed

A Method for the Analysis of Transient Motion of a Kelvin-Voigt Half-Space

2003 ◽  
Vol 19 (1) ◽  
pp. 247-256 ◽  
Author(s):  
Chau-Shioung Yeh ◽  
Wen-I Liao ◽  
Tsung-Jen Teng ◽  
Wen-Shinn Shuy
Keyword(s):  
Exact Solution ◽  
Half Space ◽  
Transient Response ◽  
Line Source ◽  
Elastic Half Space ◽  
Steepest Descent ◽  
Transient Motion ◽  
Modified Method ◽  
Causal Condition ◽  
Method Of Steepest Descent

ABSTRACTIn this paper, a modified version of method of steepest descent combining with Durbin's method is proposed to study the transient motion in either an elastic or a viscoelastic half-space. The causal condition is satisfied based on the Durbin's method while the wavenumber integral for any range of frequency is evaluated by applying the modified method of steepest descent. The validity and accuracy of the proposed method is tested by studying the transient response generated by a buried dilatational line source in an elastic half-space, for which the exact solution (Garvin's solution) can be obtained. Then the same formalism is extended to Kelvin-Voigt half-space, and the transient surface motions in elastic or viscoelastic half-spaces media are studied and discussed in details.

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