Journal ArticleDOI
Modeling added mass effects on the vibrations of air-backed, pre-deformed membranes
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In this article, the authors focus on the vibrations of hydrostatically pre-deformed, air-backed membranes and derive the mode shapes of the membrane in vacuum using von Karman theory, and employ these mode shapes as an input to the potential flow problem.About:
This article is published in Journal of Sound and Vibration.The article was published on 2021-08-04. It has received 8 citations till now. The article focuses on the topics: Added mass & Fluid dynamics.read more
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Journal ArticleDOI
On Certain Dual Integral Equations
TL;DR: In this article, a dual integral equation involving H-functions has been solved by using the theory of Mellin transforms, analogous to that of Busbridge on solutions of dual integral equations involving Bessel functions.
Journal ArticleDOI
Analytical model of vibro-acoustic coupling between the membrane loaded with concentrated masses and the acoustic cavity
TL;DR: In this paper , the Fourier cosine series function with additional terms is used as the mode function of membrane to model the single membrane structure, which is suitable for arbitrary boundary conditions.
Journal ArticleDOI
Three-dimensional exact solution of free vibrations of a simply supported rectangular plate in contact with a fluid
TL;DR: In this paper , an exact, three-dimensional, solution to the free vibrations of a simply supported plate separating a fluid column from vacuum is proposed, which is expected to offer a basis for the design of thick panels to be used in marine structures.
Journal ArticleDOI
Coupled vibration analysis of fluid-filled baffled tank equipped with Kirchhoff plate
TL;DR: In this paper , a variational fluid-domain decomposition scheme was proposed to obtain the analytically approximate coupled plate bulging and fluid sloshing modes of a partially fluid-filled baffled tank equipped with elastic thin plate.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
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A treatise on the theory of Bessel functions
TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
Book
Introduction to perturbation techniques
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
Book
The Finite Element Method: Its Basis and Fundamentals
TL;DR: The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications.