Free vibration analysis of functionally graded porous curved nanobeams on elastic foundation in hygro-thermo-magnetic environment  

作　　者：Quoc-Hoa PHAM Parviz MALEKZADEH Van Ke TRAN Trung NGUYEN-THOI 

机构地区：[1]Faculty of Engineering and Technology,Nguyen Tat Thanh University,Ho Chi Minh City 700000,Vietnam [2]Department of Mechanical Engineering,Persian Gulf University,Bushehr 7516913817,Iran [3]Faculty of Mechanical Engineering,Le Quy Don Technical University,Hanoi 100000,Vietnam [4]Laboratory for Applied and Industrial Mathematics,Institute for Computational Science and Artificial Intelligence,Van Lang University,Ho Chi Minh City 700000,Vietnam [5]Faculty of Mechanical-Electrical and Computer Engineering,School of Technology,Van Lang University,Ho Chi Minh City 700000,Vietnam [6]Bualuang ASEAN Chair Professor,Thammasat School of Engineering,Thammasat University,Pathumtani 12120,Thailand

出　　处：《Frontiers of Structural and Civil Engineering》2023年第4期584-605,共22页结构与土木工程前沿（英文版）

基　　金：supported by Bualuang ASEAN Chair Professor Fund.

摘　　要：Herein,a two-node beam element enriched based on the Lagrange and Hermite interpolation function is proposed to solve the governing equation of a functionally graded porous(FGP)curved nanobeam on an elastic foundation in a hygro–thermo–magnetic environment.The material properties of curved nanobeams change continuously along the thickness via a power-law distribution,and the porosity distributions are described by an uneven porosity distribution.The effects of magnetic fields,temperature,and moisture on the curved nanobeam are assumed to result in axial loads and not affect the mechanical properties of the material.The equilibrium equations of the curved nanobeam are derived using Hamilton’s principle based on various beam theories,including the classical theory,first-order shear deformation theory,and higher-order shear deformation theory,and the nonlocal elasticity theory.The accuracy of the proposed method is verified by comparing the results obtained with those of previous reliable studies.Additionally,the effects of different parameters on the free vibration behavior of the FGP curved nanobeams are investigated comprehensively.

关 键 词：functionally graded porous material curved nanobeam hygro-thermo-magnetic enriched finite element method 

分 类 号：O35[理学—流体力学]