Journal ArticleDOI
Acoustic eigenproblems of elliptical cylindrical cavities with multiple elliptical cylinders by using the collocation multipole method
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TLDR
In this paper, a 3D semi-analytical formulation based on a multipole expansion, directional derivative, collocation technique and singular value decomposition (SVD) is proposed for 3D elliptical cylindrical cavities with multiple elliptical cylinders.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 2014-01-01. It has received 11 citations till now. The article focuses on the topics: Multipole expansion & Mathieu function.read more
Citations
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Journal ArticleDOI
Dynamic analysis of elastic waves by an arbitrary cavity in an inhomogeneous medium with density variation
TL;DR: In this paper, an analytical solution for the dynamic stress concentration due to an arbitrary cylindrical cavity in an infinite inhomogeneous medium is investigated based on complex function theory, and two different conformal mappings are introduced to solve scattering by an arbitrary cavity for the Helmholtz equation with variable coefficient through the transformed standard Helm holz equation with a circular cavity.
Book
Analytical Methods in Marine Hydrodynamics
TL;DR: In this article, the most important geometries for hydrodynamic boundary value problems are unified, which allow for the development of analytical solutions for hydroynamics boundary value problem.
Journal ArticleDOI
Isogeometric analysis for geometric modelling and acoustic attenuation performances of reactive mufflers
TL;DR: The acoustic attenuation performances of mufflers are predicted by employing three-dimensional isogeometric analysis (IGA) and multi-patch technique for the first time by comparing with experimental approach, boundary element method and other numerical methods from available research articles.
Journal ArticleDOI
Analysis of Acoustic Characteristics of Arbitrary Triangular Prism and Quadrangular Prism Acoustic Cavities
Dongyan Shi,Ying Zhang,Lv Xiuhai +2 more
TL;DR: In this article, a method for the analysis of acoustic modals and steady-state responses of arbitrary triangular prism and quadrangular prism acoustic cavities based on the three-dimensional improved Fourier series is proposed.
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On the numerical eigenmode analysis of acoustically lined ducts with uniform mean flow
Changyong Jiang,Chunqi Wang +1 more
TL;DR: In this paper, a combined wave and finite element (WFE) method is introduced to investigate the effects of uniform mean flow on the eigenmodes and eigenvalues of the lined ducts.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
Computation of special functions
TL;DR: Bernoulli and Euler Numbers Orthogonal Polynomials Gamma, Beta, and Psi Functions Legendre Functions Bessel Functions Modified Bessel Function Integrals of Bessel function Spherical Bessel functions Kelvin Functions Airy Functions Struve Functions Hypergeometric and Confluent Hypergeometrical Functions Parabolic Cylinder Functions Mathieu Functions Spheroidal Wave Functions Error Function and Fresnel Integrals Cosine and Sine Integrals Elliptic Integrals Exponential Integrals Summary of Methods for Computing Special Functions Appendices Indexes as mentioned in this paper.
Journal ArticleDOI
The interaction of waves with arrays of vertical circular cylinders
Christopher Linton,D. V. Evans +1 more
TL;DR: In this paper, the scattering of water waves by an array of N bottom-mounted vertical circular cylinders is solved exactly (under the assumption of linear water wave theory) using the method proposed by Spring & Monkmeyer in 1974.