![](/images/graphics-bg.png)
Vibration Analysis of a Postbuckled Microscale FG Beam Based on Modified Couple Stress Theory
Joint Authors
Ashrafi, M. A.
Pourashraf, T.
Ansari, R.
Hemmatnezhad, M.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-18
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
On the basis of modified couple stress theory, the postbuckling behavior of the Euler-Bernoulli microscale FG beams is investigated by means of an exact solution method.
The modified couple stress theory as a nonclassical continuum theory is capable of interpreting the size dependencies which become more significant at micro/nanoscales.
The Von-Karman type nonlinear strain-displacement relationships are employed.
The thermal effects are also incorporated into formulation.
The governing equation of motion and the corresponding boundary conditions are derived using Hamilton’s principle.
The material properties are assumed to be graded in the thickness direction according to the power-law distribution.
A closed-form solution is obtained for the postbuckling deformation which is beyond the critical buckling load.
To study the vibrations taking place in the vicinity of a buckled equilibrium position, the linear vibration problem is exactly solved around the first three buckled configurations.
The natural frequencies of the lowest vibration modes around each of the first three buckled configurations are obtained.
The influences of power-law exponent, boundary condition, length scale parameter, and thermal environment changes on the static deflection and free vibration frequencies are studied.
A comparison is also made between the present results and those obtained via the classical beam theories.
American Psychological Association (APA)
Ansari, R.& Ashrafi, M. A.& Pourashraf, T.& Hemmatnezhad, M.. 2014. Vibration Analysis of a Postbuckled Microscale FG Beam Based on Modified Couple Stress Theory. Shock and Vibration،Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-1047965
Modern Language Association (MLA)
Ansari, R.…[et al.]. Vibration Analysis of a Postbuckled Microscale FG Beam Based on Modified Couple Stress Theory. Shock and Vibration No. 2014 (2014), pp.1-20.
https://search.emarefa.net/detail/BIM-1047965
American Medical Association (AMA)
Ansari, R.& Ashrafi, M. A.& Pourashraf, T.& Hemmatnezhad, M.. Vibration Analysis of a Postbuckled Microscale FG Beam Based on Modified Couple Stress Theory. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-1047965
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1047965