Double Finite Sine Transform Method for Deflection Analysis of Isotropic Sandwich Plates Under Uniform Load

Double Finite Sine Transform Method for Deflection Analysis of Isotropic Sandwich Plates Under Uniform Load

Benjamin O. Mama Charles C. IkeClifford U. Nwoji Hyginus N. Onah 

Department of Civil Engineering, University of Nigeria Nsukka, Enugu 400001, Nigeria

Department of Civil Engineering, Enugu State University of Science and Technology, Enugu 400001, Nigeria

Corresponding Author Email: 
ikecc2007@yahoo.com
Page: 
76-81
|
DOI: 
https://doi.org/10.18280/ama_a.550206
Received: 
11 April 2018
|
Accepted: 
10 June 2018
|
Published: 
30 June 2018
| Citation

OPEN ACCESS

Abstract: 

In this study, the double finite Fourier sine transform method was used to solve the governing partial differential equation of equilibrium of isotropic sandwich plates with all edges simply supported for the case of uniformly distributed transverse load over the entire plate domain.  The governing equation solved for the sandwich plate domain was obtained by Liaw Boen Dar by ignoring the linear terms in the Reissner’s plate equation to have a fourth order partial differential equation. Application of the double finite Fourier sine transformation, and use of the simply supported Dirichlet boundary conditions simplified the problem to an algebraic problem in terms of the double finite Fourier sine of the unknown deflection in the transform space. Inversion of the double finite Fourier sine transform yielded the unknown deflection in the physical domain space. Specific problem of uniformly distributed transverse load over the entire plate yielded rapidly convergent solutions for the deflection. The deflections are found to be expressible in terms of the sum of flexural and shear deflections for the case of general distributed load, and for the specific case of uniformly distributed load. Maximum deflections, found to occur at the plate center were found to be decomposed into flexural and shear components.

Keywords: 

isotropic sandwich plate, double finite sine transform method, integral transformation, inverse Fourier sine transform, uniformly distributed load

1. Introduction
2. Theoretical Framework
3. Methodology
4. Results
5. Discussion
6. Conclusion
Nomenclature
  References

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