Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports Article Swipe

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Muzamal Hussain , Aamir Shahzad , Muhammad Nawaz Naeem , Maogang He ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.5772/intechopen.72172

Vibration analysis of fluid-filled functionally graded material (FGM) cylindrical shells (CSs) is investigated with ring supports. The shell problem is formulated by deriving strain and kinetic energies of a vibrating cylindrical shell (CS). The method of variations of Hamiltonian principle is utilized to change the shell integral problem into the differential equation (DE) expression. Three differential equations (DE) in three unknown for displacement functions form a system of partial differential equations (PDEs). The shells are restricted along the thickness direction by ring supports. The polynomial functions describe the influence of the ring supports and have the degree equal to the number of ring supports. Fluid loaded terms (FLT) are affixed with the shell motion equations. The acoustic wave equation states the fluid pressure designated by the Bessel functions of first kind. Axial modal deformation functions are specified by characteristic beam functions which meet end conditions imposed on two ends of the shell. The Galerkin method is employed to get the shell frequency equation. Natural frequency of FGM cylindrical shell is investigated by placing the ring support at different position with fluid for a number of physical parameters. For validity and accuracy, results are obtained and compared with the data in open literature. A good agreement is achieved between two sets of numerical results.

Related Topics

Vibration

Bessel Function

Differential Equation

Mathematical Analysis

Partial Differential Equation

Finite Element Method

Concepts

Shell (structure) Vibration Galerkin method Bessel function Differential equation Mathematical analysis Partial differential equation Equations of motion Mathematics Ring (chemistry) Ordinary differential equation Hamilton's principle Physics Mechanics Classical mechanics Materials science Finite element method Composite material Acoustics Thermodynamics Chemistry Organic chemistry

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Type: book-chapter
Language: en
Landing Page: https://doi.org/10.5772/intechopen.72172
PDF: https://www.intechopen.com/citation-pdf-url/58018
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Cited By: 12
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DOI: https://doi.org/10.5772/intechopen.72172

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Title: Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

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Language: en

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Publication year: 2018

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Publication date: 2018-02-14

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Authors: Muzamal Hussain, Aamir Shahzad, Muhammad Nawaz Naeem, Maogang He

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Landing page: https://doi.org/10.5772/intechopen.72172

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Concepts: Shell (structure), Vibration, Galerkin method, Bessel function, Differential equation, Mathematical analysis, Partial differential equation, Equations of motion, Mathematics, Ring (chemistry), Ordinary differential equation, Hamilton's principle, Physics, Mechanics, Classical mechanics, Materials science, Finite element method, Composite material, Acoustics, Thermodynamics, Chemistry, Organic chemistry

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Cited by: 12

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