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Free vibration analysis of truncated conical fiber metallaminate (FML) shells

Published online by Cambridge University Press:  18 December 2013

Faramarz Ashenai Ghasemi ,
Reza Ansari  and
Rahim Bakhodai Paskiabi
Faramarz Ashenai Ghasemi*
Affiliation:
Department of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), 16788-15811 Lavizan, Tehran, Iran
Reza Ansari
Affiliation:
Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran
Rahim Bakhodai Paskiabi
Affiliation:
Department of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), 16788-15811 Lavizan, Tehran, Iran
*
⋆ Corresponding author:Faramarzashenaighasemi@yahoo.com
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Abstract

In this paper, an analytical solution is developed for free vibration analysis of conicalfiber metal shells. In order to find constitutive relations, the assumptions of thinshells are used and the governing equations are based on Love’s theory. The Galerkin methodis employed to solve the governing equations in which beam functions are used toapproximate the mode shapes. Using beam functions enables us to assess the effects ofdifferent boundary conditions on the frequency response of the shells. Numericalcomparisons of the present and previously published results confirm the accuracy of thecurrent approach. Additionally, the influences of geometrical parameters and embeddingaluminum plies in different layers of the structure on natural frequency of the conicalshells with various boundary conditions are investigated. It can be observed that the morethe aluminum plies are used, the greater natural frequency of the structure will bereached. Except the clamped-free boundary conditions, the results also indicate that ifthe aluminum plies are embedded in the top and bottom layers of the laminate, naturalfrequency reaches its maximum value.

Keywords

Conical shellfree vibrationGalerkin methodbeam function
Type
Research Article
Information
Mechanics & Industry , Volume 14 , Issue 5 , 2013 , pp. 367 - 382
Copyright
© AFM, EDP Sciences 2013

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