Hybrid analysis method using CFD and analytical solutions on fluid elastic vibration of circular cylinder arrays

A consistent set of equations is given for honeycomb sandwich shells, wherein each layer of the sandwich is treated separately. The theory allows for the effects of thick cores, non-constant core thickness and arbitrary anisotropic faces. Analytical solutions are obtained for constant thickness and tapered beams, a flat plate, and a circular cylinder subjected to simple loading conditions. The principal use of such solutions is in the testing of finite elements which are intended to model honeycomb sandwich construction.

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A hybrid analysis method for multi‐class queueing networks with multi‐server nodes

Decision Support Systems ◽

10.1016/j.dss.2012.05.056 ◽

2013 ◽

Vol 54 (4) ◽

pp. 1541-1547 ◽

Cited By ~ 3

Author(s):

Boualem Rabta ◽

Reinhold Schodl ◽

Gerald Reiner ◽

Johannes Fichtinger

Keyword(s):

Queueing Networks ◽

Analysis Method ◽

Hybrid Analysis ◽

Multi Server

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Analytical solutions of linear and nonlinear Klein-Fock-Gordon equation

Nonlinear Engineering ◽

10.1515/nleng-2014-0028 ◽

2015 ◽

Vol 4 (1) ◽

Cited By ~ 2

Author(s):

Najeeb Alam Khan ◽

Sajida Rasheed

Keyword(s):

Analytical Solutions ◽

Gordon Equation ◽

Series Solutions ◽

Analysis Method ◽

Auxiliary Parameter ◽

Convergence Region ◽

Relativistic Version ◽

Approximate Analytical Solutions ◽

Homotopy Analysis ◽

Linear And Nonlinear

AbstractIn this paper, we deal with some linear and nonlinear Klein-Fock-Gordon (KFG) equations, which is a relativistic version of the Schrödinger equation. The approximate analytical solutions are obtained by using the homotopy analysis method (HAM). The efficiency of the HAM is that it provides a practical way to control the convergence region of series solutions by introducing an auxiliary parameter }. Analytical results presented are in agreement with the existing results in open literature, which confirm the effectiveness of this method.

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Water Wave Diffraction and Radiation by a Submerged Horizontal Circular Cylinder in Front a Vertical Wall

Volume 6B: Ocean Engineering ◽

10.1115/omae2020-18438 ◽

2020 ◽

Author(s):

Ai-jun Li ◽

Yong Liu

Keyword(s):

Circular Cylinder ◽

Analytical Solutions ◽

Wave Diffraction ◽

Water Wave ◽

Vertical Wall ◽

Horizontal Cylinder ◽

Linear Potential ◽

Polar Coordinate ◽

Horizontal Circular Cylinder ◽

Unbounded Fluid

Abstract This article studies water wave diffraction and radiation by a submerged horizontal circular cylinder in front of a vertical wall under the assumption of linear potential flow theory. Based on the image principle, the hydrodynamic problem of a horizontal cylinder in front of a vertical wall is transformed into an equivalent problem involving symmetrical cylinders in a horizontally unbounded fluid domain. Then, analytical solutions for the present physical problem are developed using the method of multipole expansions combined with the shift of polar coordinate systems. The wave exciting forces on the cylinder as well as the added mass and radiation damping due to the cylinder oscillation are calculated. The analytical solutions converge very rapidly with the increasing truncated number of multipoles. Calculation examples are presented to examine the effects of different parameters on the hydrodynamic quantities of the cylinder. Results indicate that the hydrodynamic quantities of the cylinder in front of a vertical wall greatly differ from those in a horizontally unbounded fluid domain.

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