Static behavior analysis of equivalent corrugated plates using a developed third order shear deformation theory

Ali Ghiamy , Hossein Amoushahi , Mohammad Hesam Salar

Abstract

In this paper, a simplified model of corrugated panels using a newly developed third-order shear deformation theory (DTSDT) is presented to investigate the buckling and vibrational behavior of the panels. The finite strip method is also used for the dynamic and static analysis of corrugated plates. Using this method, a corrugated panel can be equated with a homogeneous orthotropic plate that has different material properties in two perpendicular directions. Eventually, the stiffness, geometric, and mass matrices of the whole structure are derived. The homogenization model can be applied to any corrugated geometry, such as trapezoidal and sinusoidal plates. This method is based on the equalization of the strain energy between the homogenized plate and the primary corrugated plate, so that by using the equalization of energies, the ABD matrix for the homogenized plate is obtained based on third-order shear deformation theory (TSDT). Additionally, since the corrugation of the plate is in one direction, the ABD matrix of the homogeneous plate can be assumed to be diagonal. The results of static buckling and vibration of the corrugated plate are compared with numerical example values from previous studies.

Key Words

buckling; corrugated plate; developed TSDT; homogenous method; vibration

Address

Ali Ghiamy — Department of Civil and Transportation Engineering, University of Isfahan, Isfahan 81746-73441, Iran
Hossein Amoushahi — Department of Civil and Transportation Engineering, University of Isfahan, Isfahan 81746-73441, Iran
Mohammad Hesam Salar — Department of Civil and Transportation Engineering, University of Isfahan, Isfahan 81746-73441, Iran

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