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A Hybrid Fem T Matrix Technique For The Analysis Of Acoustic Wave Scattering By Elastic Shells Of Revolution
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Book Synopsis A Hybrid Fem-T-Matrix Technique for the Analysis of Acoustic Wave Scattering by Elastic Shells of Revolution by : Kumar Eswaran
Download or read book A Hybrid Fem-T-Matrix Technique for the Analysis of Acoustic Wave Scattering by Elastic Shells of Revolution written by Kumar Eswaran and published by . This book was released on 1982 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hybrid finite element cum T-matrix technique is introduced for the analysis of problems involving acoustic wave scattering by shells of revolution immersed in water. The concept of a mechanical impedance or receptance is used from the theory of vibrations to provide a relationship between the velocity of the shell surface and the pressure acting upon it. This relationship is introduced in the Helmholtz integral relations for the incident and scattered fields and a T-matrix for the scattering problem is derived. The mechanical impedance is calcuated by a conventional FEM technique. Numerical results are obtained for spherical shells as a check on the numerical procedure and also for a finite capped cyclindrical shell for waves incident along the rotational axes of symmetry. The comparison with the experimental results of Dr. S. Numrich and Dr. L. Dragonette of the Naval Research Laboratory is excellent. (Author).
Book Synopsis T-Matrix Analysis of Acoustic Wave Scattering from Thin Elastic Shells by : V. V. Varadan
Download or read book T-Matrix Analysis of Acoustic Wave Scattering from Thin Elastic Shells written by V. V. Varadan and published by . This book was released on 1981 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress has been made in the study of acoustic wave scattering by elastic obstacles immersed in water using the T-matrix approach. It is understood, that in problems of interest to the Navy, scattered field data is required for long, thin bodies of revolution whose wall thickness is very small compared to the wavelength of the incident wave but whose overall dimensions are comparable and often larger than the wavelength of the incident wave. This project was begun to precisely address such problems, taking into account and exploiting the thinness of the shell. We propose to use shell theory equations rather than the full elasticity equations in region I in order to avoid some of the complications. Shell theory reduces the partial differential equations in three coordinates to a higher order equation in two coordinates. All description of the displacement and stress fields is made with respect to a reference surface in the shell. Now, it is no longer necessary to invoke integral representations to describe the elastic field in this region. One extracts from the shell equations an expression for the impedance matrix of the shell which is then interfaced with the T-matrix approach for acoustic wave scattering problems.
Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Smart Structures and Materials written by and published by . This book was released on 1995 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Annual Index by :
Download or read book Government Reports Annual Index written by and published by . This book was released on 1983 with total page 1642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1983-09 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 1460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Interference Problems on Wing-fuselage Combinations in Inviscid, Incompressible Flow by : Aeronautical Research Council (Great Britain)
Download or read book Interference Problems on Wing-fuselage Combinations in Inviscid, Incompressible Flow written by Aeronautical Research Council (Great Britain) and published by . This book was released on 1974 with total page 1212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculation of the Transition Matrix for the Scattering of Acoustic Waves from a Thin Elastic Spherical Shell Using the COMSOL Multiphysics Finite-Element Code by : Kiang Chuan Ng
Download or read book Calculation of the Transition Matrix for the Scattering of Acoustic Waves from a Thin Elastic Spherical Shell Using the COMSOL Multiphysics Finite-Element Code written by Kiang Chuan Ng and published by . This book was released on 2011 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: In acoustics, the so-called Transition, or T-matrix relates the incident and scattered acoustic pressures of an object or scatterer. The T-matrix of a thin steel spherical shell in water has been determined by the COMSOL Multiphysics Finite-Element Code. The shell has an outer radius of 0.5m and a thickness of 1cm. It is driven at a frequency of 474 Hz such that ka=1 (where k is the acoustic wave number and a is the outer radius of the shell). A standing wave, represented by a spherical Bessel function, is incident onto the shell surface and the corresponding scattering coefficient is computed. The approach is divided into three portions. Firstly, a fluid-loaded rigid sphere is modeled using the Acoustic-Shell Interaction (ACSH) physics mode to examine the functionality of COMSOL. It also explores the degree of improvement when a refined fluid mesh is applied. Secondly, a thin spherical shell is modeled in the ACSH physics mode. This will examine the credibility of COMSOL to obtain accurate results based on thin shell approximation. Finally, a true 3D finite element, employing the 3D elastic theory, is created using the Acoustic-Structure Interaction (ACSI) physics mode. The resulting diagonal T-matrix elements achieved an accuracy of 0.1% relative to the analytical T-matrix. Ultimately, these results will be applicable to the modeling of the radiation from an arbitrarily densely-packed array of sonar transducers.
Book Synopsis Acoustic, Electromagnetic, and Elastic Wave Scattering--focus on the T-matrix Approach by : V. K. Varadan
Download or read book Acoustic, Electromagnetic, and Elastic Wave Scattering--focus on the T-matrix Approach written by V. K. Varadan and published by Pergamon. This book was released on 1980 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Annual Index: Keyword A-L by :
Download or read book Government Reports Annual Index: Keyword A-L written by and published by . This book was released on 1983 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Briefs written by and published by . This book was released on 1986 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis T-matrix Scattering Analysis for an Elastic Sphere in an Acoustic Medium by : Rahul Sen
Download or read book T-matrix Scattering Analysis for an Elastic Sphere in an Acoustic Medium written by Rahul Sen and published by . This book was released on 1983 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculation of the Transition Matrix for the Scattering of Acoustic Waves from a Thin Elastic Spherical Shell Using the ATILA Finite Element Code by : Arthur Lobo da Costa Ruiz
Download or read book Calculation of the Transition Matrix for the Scattering of Acoustic Waves from a Thin Elastic Spherical Shell Using the ATILA Finite Element Code written by Arthur Lobo da Costa Ruiz and published by . This book was released on 1994 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transition matrix, relating the scattered and incident acoustic waves, for a thin elastic spherical shell in a free-field environment, has been evaluated using the ATILA finite-element code. A three-dimensional finite- element model of a 0.5-m outer radius, 1-cm thick spherical steel shell surrounded by water was developed. The ATILA code was used to calculate the scattered pressure over the surface of the shell for incident waves represented as products of radial Hankel functions and spherical harmonics. The chosen driving frequency was 474 Hz, corresponding to a value of ka=1, where k is the wavenumber of sound in water and a is the radius of the shell. The ATILA results were compared with the results of analytical thin shell theory, and were found to agree for a model which divided the spherical shell surface into 72 approximately equal area triangular regions. Also computed for each component was the modal acoustical impedance of the shell. These results agreed within two percent for the zeroth order component and thirteen percent for the first order component. Distribution Limitation(s).
Book Synopsis Calculation of the Transition Matrix for the Scattering of Acoustic Waves from a Thin Elastic Spherical Shell Using the ATILA Finite Element Code by : Arthur Lobo da Costa Ruiz
Download or read book Calculation of the Transition Matrix for the Scattering of Acoustic Waves from a Thin Elastic Spherical Shell Using the ATILA Finite Element Code written by Arthur Lobo da Costa Ruiz and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transition matrix, relating the scattered and incident acoustic waves, for a thin elastic spherical shell in a free-field environment, has been evaluated using the ATILA finite-element code. A three-dimensional finite- element model of a 0.5-m outer radius, 1-cm thick spherical steel shell surrounded by water was developed. The ATILA code was used to calculate the scattered pressure over the surface of the shell for incident waves represented as products of radial Hankel functions and spherical harmonics. The chosen driving frequency was 474 Hz, corresponding to a value of ka=1, where k is the wavenumber of sound in water and a is the radius of the shell. The ATILA results were compared with the results of analytical thin shell theory, and were found to agree for a model which divided the spherical shell surface into 72 approximately equal area triangular regions. Also computed for each component was the modal acoustical impedance of the shell. These results agreed within two percent for the zeroth order component and thirteen percent for the first order component. Distribution Limitation(s).
Book Synopsis Acoustic, Electromagnetic and Elastic Wave Scattering - Focus on the T-matrix Approach by : Vasundara V. Varadan
Download or read book Acoustic, Electromagnetic and Elastic Wave Scattering - Focus on the T-matrix Approach written by Vasundara V. Varadan and published by . This book was released on 1980 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt:
