Vol. 11, No. 2, 2016

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
Author index
To appear
Other MSP journals
The effect of small scale on the free vibration of functionally graded truncated conical shells

Yaghoub Tadi Beni and Fahimeh Mehralian

Vol. 11 (2016), No. 2, 91–112

In this paper, the FG thin truncated conical shell formulation is developed using the modified couple stress theory. The material distributions in FG conical shell are assumed to vary continuously along shell thickness according to volume fraction of constituents based on power law distribution. The governing equations and boundary conditions are derived using Hamilton’s principle, and, in the special case, the free vibration of the simply supported FG conical nanoshell is investigated using Galerkin method. Finally, the effects of parameters such as dimensionless length scale parameter, apex angle, gradient index and length on the natural frequency are examined. According to the studies conducted, the modified couple stress theory predicts the stiffness of conical nanoshell with higher accuracy than the classical continuum theory. Besides, the increasing effect of the length scale parameter on increase in natural frequency caused by decrease in length and increase in circumferential and axial wave numbers is investigated as well.

free vibration, modified couple stress theory, thin shell model, functionally graded material, truncated conical shell, length scale parameter
Received: 6 January 2015
Revised: 2 October 2015
Accepted: 16 December 2015
Published: 23 February 2016
Yaghoub Tadi Beni
Mechanical Engineering
Shahrekord University
Rahbar Boulevard
Shahrekord 88581
Fahimeh Mehralian
Mechanical Engineering
Shahrekord University
Rahbar Boulevard
Shahrekord 88581