Free vibration analysis of functionally graded anisotropic microplates using modified strain gradient theory

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Thai, CH (Author) Other; Ferreira, AJM (Author) FEUP; Phung Van, P (Author) Other

Journal

Title: Engineering Analysis with Boundary Elements

Vol. 117

Pages: 284-298

ISSN: 0955-7997

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 7 Citations

Other information

Authenticus ID: P-00S-8D5

DOI: 10.1016/j.enganabound.2020.05.003

Abstract (EN): This study presents a size dependent model using the higher-order shear deformation theory (HSDT) in conjunction with modified strain gradient theory (MSGT) for free vibration analysis of functionally graded (FG) anisotropic microplates. The FG anisotropic material is made of hexagonal beryllium crystals which can be considered as a hexagonal one. To consider size effects, three material length scale parameters (MLSPs) are added into the elastic constants of the anisotropic material. Based on the principle of virtual work, discretized governing equations of the FG hexagonal microplates are obtained. Subsequently, the natural frequency of the FG anisotropic microplates is determined by using isogeometric analysis (IGA). Numerical results show that the natural frequency of the FG anisotropic microplates is influenced by the geometry, boundary condition, length-to-thickness ratio, exponential factor and material length scale parameter. The results of classical HSDT model can be restored from the present model when three MLSPs equal to zero. Moreover, the differences of the natural frequency predicted by MSGT and classical HSDT can grow up more than 4.5 times.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15