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

被引：19

作者：

Hadji, Lazreg ^{[1
,2
]}

Bernardi, Fabrice ^{[3
]}

Zouatnia, Nafissa ^{[4
]}

机构：

[1] Univ Tiaret, Lab Geomatics & Sustainable Dev, Tiaret 14000, Algeria

[2] Univ Tiaret, Dept Mech Engn, Tiaret 14000, Algeria

[3] INSA Rennes, Lab Civil Engn & Mech Engn, F-35043 Rennes, France

[4] Univ Tiaret, Dept Civil Engn, Tiaret 14000, Algeria

来源：

FDMP-FLUID DYNAMICS & MATERIALS PROCESSING | 2023年 / 19卷 / 04期

关键词：

Bending; free vibration; porosity; functionally graded material; winkler-pasternak elastic foundation; SHEAR;

D O I：

10.32604/fdmp.2022.022327

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The bending and free vibration of porous functionally graded (PFG) beams resting on elastic foundations are ana-lyzed. 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, por-osity volume percentage and span-to-depth ratio are finally discussed in detail.

引用

页码：1043 / 1054

页数：12

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