Geometric-acoustics analysis of singly scattered, nonlinearly evolving waves by circular cylinders

2020 ◽  
Vol 147 (6) ◽  
pp. 4153-4161
Author(s):  
Michael B. Muhlestein ◽  
Carl R. Hart
2020 ◽  
Author(s):  
Michael Muhlestein ◽  
Carl Hart

Geometric acoustics, or acoustic ray theory, is used to analyze the scattering of high-amplitude acoustic waves incident upon rigid circular cylinders. Theoretical predictions of the nonlinear evolution of the scattered wave field are provided, as well as measures of the importance of accounting for nonlinearity. An analysis of scattering by many cylinders is also provided, though the effects of multiple scattering are not considered. Provided the characteristic nonlinear distortion length is much larger than a cylinder radius, the nonlinear evolution of the incident wave is shown to be of much greater importance to the overall evolution than the nonlinear evolution of the individual scattered waves.


2011 ◽  
Vol 42 (7) ◽  
pp. 595-612
Author(s):  
Masome Heidary ◽  
Mousa Farhadi ◽  
Kurosh Sedighi ◽  
Mostafa Nourollahi

Author(s):  
Carmen Popa ◽  
Violeta Anghelina ◽  
Octavian Munteanu

Abstract The descriptive geometry constitues the foundation of the engineering sciences, so necessary to the specialists of this field. The aim of this paper is to establish the intersection curve between two cylinders and their unfoldings, by using the programmes:AutoCAD and Mathematica. We used the classical method and we first establish the intersection curve and then the cylinders unfoldings. To do this, we used the AutoCAD program. The same unfoldings can be obtained by introducing directly the curve equations (which are inferred) in Mathematica program.


1990 ◽  
Vol 10 (1Supplement) ◽  
pp. 35-40 ◽  
Author(s):  
Kazuo OHMI ◽  
Kensaku IMAICHI ◽  
Ei-ichi TADA

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