The propagation of acoustic or ultrasonic pulses and waves in 1-D media with continuous inhomogeneities due to spatial variations in density, Young modulus, and/or cross section of the propagation medium is discussed. A semianalytical approach leads to a general form of the solution, which can be described by a function, whose Taylor expansion is absolutely convergent. The special case of a periodic inhomogeneity is studied in detail and the dispersion law is found. It is also shown that a finite width pulse is generally not broken down by the inhomogeneity, even though its law of motion is perturbed. A numerical treatment based on the Local Interaction Simulation Approach (LISA) is also considered, and the results of the simulations compared with the semianalytical ones. (C) 1998 Acoustical Society of America. [S0001-4966(98)00807-8].
Ultrasonic pulse propagation in inhomogeneous one-dimensional media / Cretu, N; Delsanto, PIER PAOLO; Nita, G; Rosca, C; Scalerandi, Marco; Sturzu, I.. - In: THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA. - ISSN 0001-4966. - 104:(1998), pp. 57-63. [10.1121/1.423283]
Ultrasonic pulse propagation in inhomogeneous one-dimensional media
DELSANTO, PIER PAOLO;SCALERANDI, MARCO;
1998
Abstract
The propagation of acoustic or ultrasonic pulses and waves in 1-D media with continuous inhomogeneities due to spatial variations in density, Young modulus, and/or cross section of the propagation medium is discussed. A semianalytical approach leads to a general form of the solution, which can be described by a function, whose Taylor expansion is absolutely convergent. The special case of a periodic inhomogeneity is studied in detail and the dispersion law is found. It is also shown that a finite width pulse is generally not broken down by the inhomogeneity, even though its law of motion is perturbed. A numerical treatment based on the Local Interaction Simulation Approach (LISA) is also considered, and the results of the simulations compared with the semianalytical ones. (C) 1998 Acoustical Society of America. [S0001-4966(98)00807-8].Pubblicazioni consigliate
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https://hdl.handle.net/11583/1405556
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