Vibration Analysis of Thin Cylindrical Shells Using Wave Propagation Approach

Zhang, Xiao Ming; Liu, G.R.; Lam, K.Y.

doi:10.1006/jsvi.2000.3139

Cited by 192 publications

(89 citation statements)

References 11 publications

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“…Wave propagation approach has been employed by many researchers (Zhang et al [22,29,30], Natsuki et al [23], Li et al [31], Liu et al [32], and Li [28]) to evaluate the approximate solution of the shell dynamic equations. This numerical technique is used in this study as it is very simple and easily applicable to determine the shell frequencies.…”

Section: Theoretical Formulationmentioning

confidence: 99%

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

Shah

Mahmood

Arshad

2011

ISRN Mechanical Engineering

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Vibrational characteristics of functionally graded cylindrical shells filled with fluid and placed on Winkler and Pasternak elastic foundations are investigated. Love's thin-shell theory is utilized for strain-displacement and curvature-displacement relationships. Shell dynamical equations are solved by using wave propagation approach. Natural frequencies for both empty and fluid-filled functionally graded cylindrical shells based on elastic foundations are determined for simply-supported boundary condition and compared to validate the present technique. Results obtained are in good agreement with the previous studies. It is seen that the frequencies of the cylindrical shells are affected much when the shells are filled with fluid, placed on elastic foundations, and structured with functionally graded materials. The influence of Pasternak foundation is more pronounced than that of Winkler modulus.

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Section: Theoretical Formulationmentioning

confidence: 99%

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

Shah

Mahmood

Arshad

2011

ISRN Mechanical Engineering

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“…The x coordinate is taken in the longitudinal direction, where the θ and z coordinates are respectively in the circumferential and radial directions of the tube as shown in Figure 1. The equations of motion for the cylindrical shell can be written by Love's theory as [13,14] (1) where where , E is Young's modulus, ρ is the mass density, and ν is Poisson's ratio of the tube material.…”

Section: Theorymentioning

confidence: 99%

“…The resonance of the cylindrical tube can be solved by the wave propagation approach [13,14]. In this approach, the displacements of the tube can be expressed in the format of wave propagation, associated with an axial wavenumber k x and circumferential mode parameter n, and defined by (2) where U m , V m and W m are respectively the wave amplitudes in the axial x, circumferential θ, and radial z directions, and ω is the circular driving frequency.…”

Section: Theorymentioning

confidence: 99%

“…For example, k x = mπ / L is used for the simply supported-simply supported (SS-SS) boundary conditions at the ends. Recommended wavenumbers can be found in [13,14] for different boundary conditions. One advantage of the wave propagation approach is that complex boundary conditions can be easily handled which may be difficult for other analytical methods.…”

Section: Theorymentioning

confidence: 99%

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Air-coupled ultrasound stimulated optical vibrometry for resonance analysis of rubber tubes

Zhang

Kinnick

2009

Ultrasonics

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Air-coupled ultrasound stimulated optical vibrometry is proposed to generate and detect the resonances of a rubber tube in air. Amplitude-modulated (AM) focused ultrasound radiation force from a broadband air-coupled ultrasound transducer with center frequency of 500 kHz is used to generate a low frequency vibration in the tube. The resonances of several modes of the tube are measured with a laser vibrometer of 633 nm wavelength. A wave propagation approach is used to calculate the resonances of the tube from its known material properties. Theoretical and experimental resonance frequencies agree within 5%. This method may be useful in measuring the in vitro elastic properties of arteries from the resonance measurements in air. It may also be helpful in better understanding the coupling effects of surrounding tissue and interior blood on the vessel wall by measuring the resonance of the vessel in vitro and in vivo.

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“…Additional burden due to fluid factor on a physical system may cause damage to it. In the recent times, this feature has appealed to scientists doing research on dynamical properties of materials to explore more about specific strength, stiffness and super corrosion resistance [3][4][5][6][7]. It has been acquired by highly developed complex materials.…”

Section: Introductionmentioning

confidence: 99%

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

Hussain¹,

Shahzad²,

He³

2018

Computational Fluid Dynamics - Basic Instruments and Applications in Science

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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.

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Vibration Analysis of Thin Cylindrical Shells Using Wave Propagation Approach

Cited by 192 publications

References 11 publications

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

Air-coupled ultrasound stimulated optical vibrometry for resonance analysis of rubber tubes

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

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