Bending and Free Vibration Analysis of Porous-Functionally-Graded(PFG)Beams Resting on Elastic Foundations  

作　　者：Lazreg Hadji Fabrice Bernard Nafissa Zouatnia 

机构地区：[1]Laboratory of Geomatics and Sustainable Development,University of Tiaret,Tiaret,14000,Algeria [2]Department of Mechanical Engineering,University of Tiaret,Tiaret,14000,Algeria [3]INSA Rennes,Laboratory of Civil Engineering and Mechanical Engineering,Rennes,35043,France [4]Department of Civil Engineering,University of Tiaret,Tiaret,14000,Algeria

出　　处：《Fluid Dynamics & Materials Processing》2023年第4期1043-1054,共12页流体力学与材料加工（英文）

摘　　要：The bending and free vibration of porous functionally graded(PFG)beams resting on elastic foundations are analyzed.The material features of the PFG beam are assumed to vary continuously through the thickness according to the volume fraction of components.The foundation medium is also considered to be linear,homogeneous,and isotropic,and modeled using the Winkler-Pasternak law.The hyperbolic shear deformation theory is applied for the kinematic relations,and the equations of motion are obtained using the Hamilton’s principle.An analytical solution is presented accordingly,assuming that the PFG beam is simply supported.Comparisons with the open literature are implemented to verify the validity of such a formulation.The effects of the elastic foundations,porosity volume percentage and span-to-depth ratio are finally discussed in detail.

关 键 词：BENDING free vibration porosity functionally graded material winkler-pasternak elastic foundation 

分 类 号：TU471.2[建筑科学—结构工程]