Bending of Sandwich Plates With Hard Cores Under Transverse Loading Based on the HighOrder Deformation Theory

HAO Jia-qiong; LI Ming-cheng; DENG Zong-bai

doi:10.3879/j.issn.1000-0887.2014.08.005

Volume 35 Issue 8

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HAO Jia-qiong, LI Ming-cheng, DENG Zong-bai. Bending of Sandwich Plates With Hard Cores Under Transverse Loading Based on the HighOrder Deformation Theory[J]. Applied Mathematics and Mechanics, 2014, 35(8): 873-882. doi: 10.3879/j.issn.1000-0887.2014.08.005

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Bending of Sandwich Plates With Hard Cores Under Transverse Loading Based on the HighOrder Deformation Theory

doi: 10.3879/j.issn.1000-0887.2014.08.005

College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China

Received Date: 2013-12-03
Rev Recd Date: 2014-05-04
Publish Date: 2014-08-15

Abstract

Abstract

Based on the high-order deformation theory, the in-plane stiffness and bending stiffness of both surface layer and core layer of the sandwich plate were considered to derive the transverse shearing stiffnesses of all the layers. The transverse stress function was given according to the transverse strain distribution, and the differential equations for the sandwich plate were deduced with the generalized principle of virtual displacement. The bending deformation of simply supported rectangular sandwich plates with different core-to-surface thickness ratios were detailedly studied under transverse loading, and the calculation results were compared with those from the 1st-order deformation theory to give a bigger relative deformation difference at a smaller thickness ratio. The distribution of transverse strain along the thickness direction makes a half sine curve, and the center-plane normal line distortion culminates at the surface height.
- high-order deformation theory,
- sandwich plate,
- hard core,
- transverse shear,
- generalized principle of virtual displacement,
- basic equation

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References(26)

References

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