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Research Papers

Effect of Semi-Geodesic Winding on the Vibration Characteristics of Filament Wound Shells of Revolution

[+] Author and Article Information
Altan Kayran1

Department of Aerospace Engineering,  Middle East Technical University, 06531 Ankara, Turkeyakayran@metu.edu.tr

Can Serkan İbrahimoğlu

Department of Aerospace Engineering,  Middle East Technical University, 06531 Ankara, Turkeye129875@metu.edu.tr

1

Corresponding author.

J. Appl. Mech 78(6), 061008 (Aug 24, 2011) (11 pages) doi:10.1115/1.4003907 History: Received April 23, 2010; Revised March 19, 2011; Published August 24, 2011

The effect of semigeodesic winding on the free vibration characteristics of filament wound shells of revolution is studied. For this purpose multisegment numerical integration technique is extended to the solution of the free vibration problem of composite shells of revolution which are wound along the semigeodesic fiber paths counting on the preset friction used during the winding process. Sample results are obtained for truncated conical and spherical shells of revolution and the effect of preset friction on the vibration characteristics of filament wound shells of revolution is particularly analyzed. Results show that when the preset friction is increased natural frequencies of higher circumferential vibration modes also increase irrespective of the initial winding angle, and the circumferential bending stiffness stands out as the dominant parameter governing the natural frequencies of higher circumferential vibration modes.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Geometry and coordinate system of shell of revolution

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Figure 2

Fiber path on the surface of a general shell of revolution

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Figure 3

Variation of the winding angle and thickness of the conical shell (α1 = 60°)

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Figure 4

Variation of extensional stiffness coefficients of the conical shell (α1  = 60°)

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Figure 7

Lateral displacement mode shape of the conical shell (w0 ); n = 1, α1= 60°, (a) Cosine part (b) Sine part

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Figure 6

Lowest natural frequency versus circumferential wave number for the conical shell (α1 = 60°), (a) Clamped-free (b) Clamped-clamped

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Figure 5

Variation of bending stiffness coefficients of the conical shell (α1 = 60°)

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Figure 8

Winding angle versus normalized meridian for the spherical shell (α1 = 65°)

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Figure 9

Thickness versus normalized meridian for the spherical shell (fst = 0.2)

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Figure 10

Lowest natural frequency frequency versus circumferential wave number for the spherical shell (α1 = 65°)

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