Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
International Journal for Multiscale Computational Engineering
Factor de Impacto: 1.016 Factor de Impacto de 5 años: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2015012014
pages 311-319

FREE VIBRATION ANALYSIS OF ANNULAR FLEXURAL MICRO-PLATES USING C2 QUADRILATERAL FINITE ELEMENTS

Ali R. Ahmadi
Kerman Graduate University of Technology, Kerman, IRAN

SINOPSIS

Using higher continuity C2 finite elements, vibration of annular flexural micro-plates (FMP) is studied here. The invariant form of the governing equation for micro-plates, with nonlocal effects, based on "modified couple stress theory" is extended for vibration analysis of annular FMP. Nonlocal effects are incorporated in the development of the governing equation by employing the constitutive equation of the strain gradient model which contains only one constant. The resulting sixth-order linear differential equation, cast in polar coordinates, is solved by employing its Galerkin weak form and finite element methodology. The corresponding weak form requires the finite element solution to be at least second-order continuous over the global domain; hence, a new C2 finite element is formulated to accomplish the required global continuity. Natural frequencies of the annular micro-plates with various boundary conditions are computed using new C2 finite elements. In order to verify the computational procedure and new element basis, results obtained from the proposed methodology are compared to the closed form solution for simply supported annular plate. Studies of annular FMPs conducted here indicate that incorporation of an internal length parameter can increase the natural frequencies by up to 100% depending on boundary conditions and ratio of the inner and outer radii.


Articles with similar content:

BUCKLING ANALYSIS OF RECTANGULAR FLEXURAL MICROPLATES USING HIGHER CONTINUITY P-VERSION FINITE-ELEMENT METHOD
International Journal for Multiscale Computational Engineering, Vol.10, 2012, issue 3
H. Farahmand , S. Arabnejad, A. R. Ahmadi
The Thin Dielectric Coating of the Smooth Metallic Cylinder High-frequency Excitation by the E-polarized Field of the Point Source
Telecommunications and Radio Engineering, Vol.54, 2000, issue 5-6
Victor Filippovich Apel'tsin
OPEN RESONANT SYSTEM WITH A FOCUSING MIRROR COMPOSED OF SEVERAL REFLECTORS HAVING CYLINDRICAL SURFACE
Telecommunications and Radio Engineering, Vol.74, 2015, issue 7
E.A. Kovalyov, V. S. Miroshnichenko
THE BURGERS EQUATION AS AN ELECTRODYNAMIC MODEL IN PLASMA PHYSICS
High Temperature Material Processes: An International Quarterly of High-Technology Plasma Processes, Vol.11, 2007, issue 4
Olivier Vallee, Eric Moreau
SIZE-DEPENDENT POSTBUCKLING OF ANNULAR NANOPLATES WITH DIFFERENT BOUNDARY CONDITIONS SUBJECTED TO THE AXISYMMETRIC RADIAL LOADING INCORPORATING SURFACE STRESS EFFECTS
International Journal for Multiscale Computational Engineering, Vol.14, 2016, issue 1
M. Faghih Shojaei, R. Ansari, V. Mohammadi, Raheb Gholami