This paper for first time proposes an isogeometric analysis(IGA)for free vibration response of bi-directional functionally graded(BDFG)rectangular plates in the fluid medium.Material properties of the BDFG plate change in both the thickness and length directions via power-law distributions and Mori-Tanaka model.The governing equation of motion of BDFG plate in the fluid-plate system is formulated basing on Hamilton's principle and the refined quasi three-dimensional(3D)plate theory with improved function f(z).The fluid velocity potential is derived from the boundary conditions of the fluid-plate system and is used to determine the added mass.The discrete system of equations is derived from the Galerkin weak form and numerically analyzed by IGA.The accuracy and reliability of the proposed solutions are verified by comparing the obtained results with those published in the literature.Moreover,the effects of the various parameters such as the interaction boundary condition,geometric parameter,submerged depth of plate,fluid density,fluid level,and the material volume control coefficients on the free vibration behavior of BDFG plate in the fluid medium are investigated in detail.Some major findings regarding the numerical results are withdrawn in conclusions.

Quoc-Hoa Pham;Phu-Cuong Nguyen;Van Ke Tran;Trung Nguyen-Thoi

Faculty of Civil Engineering,Ho Chi Minh City Open University,Ho Chi Minh City,Viet Nam;Faculty of Mechanical Engineering,Le Quy Don Technical University,Hanoi,Viet Nam;Division of Computational Mathematics and Engineering,Institute for Computational Science,Ton Duc Thang University,Ho Chi Minh City,Viet Nam;Faculty of Civil Engineering,Ton Duc Thang University,Ho Chi Minh City,Viet Nam

防务技术

[1]Quoc-Hoa Pham;Phu-Cuong Nguyen;Van Ke Tran;Trung Nguyen-Thoi-.Isogeometric analysis for free vibration of bidirectional functionally graded plates in the fluid medium)[J].防务技术,2022(08):1311-1329

Isogeometric,BDFG

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