THE RESIDUAL VARIABLE METHOD APPLIED TO ACOUSTIC-WAVE PROPAGATION FROM A SPHERICAL SURFACE

Date

1993-01-01

Author

AKKAS, N
ERDOGAN, F

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

225
views

0
downloads

The classical wave equation in spherical coordinates is expressed in terms of a residual potential applying the Residual Variable Method. This method essentially eliminates the second derivative of the potential with respect to the radial coordinate from the wave equation. Thus, the dynamic pressure distribution on the surface of a spherical cavity can be studied by considering the cavity surface only. Moreover, the Residual Variable Method, being amenable to ''marching'' solutions in a finite-difference implementation, is very suitable for the analysis of acoustic wave propagation into the finite medium from the cavity surface. The propagation of the wave from the internal surface can be followed numerically. There is no need to discretize the infinite domain in its entirety at all. The propagation analysis can be terminated at any point in the radial direction without having to consider the rest.

Subject Keywords

Mechanical Engineering, Acoustics and Ultrasonics, Mechanics of Materials

URI

https://hdl.handle.net/11511/66105

Journal

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME

DOI

https://doi.org/10.1115/1.2930318

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

A modal superposition method for non-linear structures Kuran, B; Özgüven, Hasan Nevzat (Elsevier BV, 1996-01-25) The dynamic response of multi-degree of freedom (MDOF) non-linear structures is usually determined by the numerical integration of equations of motion. This is computationally very costly for steady state response analysis. In this study, a powerful and economical method is developed for the harmonic response analysis of non-linear structures. In this method, the equations of motion are first converted into a set of non-linear algebraic equations, and then the number of equations to be solved is reduced by ...
THE HARMONIC RESPONSE OF UNIFORM BEAMS ON MULTIPLE LINEAR SUPPORTS - A FLEXURAL WAVE ANALYSIS MEAD, DJ; Yaman, Yavuz (Elsevier BV, 1990-09-22) A wave approach is developed for the exact analysis of the harmonic response of uniform finite beams on multiple supports. The beam may be excited by single or multi-point harmonic forces or moments; its supports may have general linear characteristics which may include displacement-rotation coupling. Use is made of the harmonic response function for an infinite beam subjected to a single-point harmonic force or moment. The unknowns of the finite beam problem are the support reaction forces/moments and the ...
A METHOD FOR THE CALCULATION OF NATURAL FREQUENCIES OF ORTHOTROPIC AXISYMMETRICALLY LOADED SHELLS OF REVOLUTION Kayran, Altan; ARDIC, ES (ASME International, 1994-01-01) A methodology is presented for the calculation of the natural frequencies of orthotropic axisymmetrically loaded shells of revolution including the effect of transverse shear deformation. The fundamental system of equations governing the free vibration of the stress-free shells of revolution are modified such that the initial stresses due to the axisymmetric loading are incorporated into the analysis. The linear equations on the vibration about the deformed state are solved by using the transfer matrix meth...
A refined dynamic theory for viscoelastic cylindrical shells and cylindrical laminated composites, Part 2: An application Birlik, G.A.; Mengi, Yalçın (Elsevier BV, 1989-4) In this study, the general approximate theory developed in Part 1 for shells is assessed for axially symmetric elastic waves propagating in a closed circular cylindrical shell (hollow rod). The spectra predicted by zeroth and second order approximate theories are determined for various values of shell thicknesses and the Poisson ratios and they are compared with those of exact theory. It is found that the agreement between the two is good. Approximate and exact cut-off frequencies match almost exactly. The ...
A NEW METHOD FOR HARMONIC RESPONSE OF NONPROPORTIONALLY DAMPED STRUCTURES USING UNDAMPED MODAL DATA Özgüven, Hasan Nevzat (Elsevier BV, 1987-09-08) A method of calculating the receptances of a non-proportionally damped structure from the undamped modal data and the damping matrix of the system is presented. The method developed is an exact method. It gives exact results when exact undamped receptances are employed in the computation. Inaccuracies are due to the truncations made in the calculation of undamped receptances. Numerical examples, demonstrating the accuracy and speed of the method when truncated receptance series are used are also presented. ...

Citation Formats

N. AKKAS and F. ERDOGAN, “THE RESIDUAL VARIABLE METHOD APPLIED TO ACOUSTIC-WAVE PROPAGATION FROM A SPHERICAL SURFACE,” JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, pp. 75–80, 1993, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66105.