Deflection Response of Structural Circular Sandwich Plates Subject to Uniform, Concentrated and Linearly Varying Load

Obanishola M Sadiq,Ayotomiwa O Salau

doi:10.34257/gjreevol21is2pg35

Abstract

This research is based on the study of the deflection response of a structural circular sandwich plate, simply supported or clamped at its boundary, under different loading configurations (uniformly distributed, concentrated, and linearly varying load). The non-linear governing differential equation of the plate was solved using an Analytical method, Variational Iteration Method (VIM), after which the Finite Element Method (FEM) was used to validate its accuracy. Results showed a significantly higher deflection value for the simply supported plate compared to the clamped plate for all the various loading configurations, where a sandwich plate of radius 100mm under clamped conditions generated deflection of 0.05mm when exposed to a uniform load while a deflection of 0.25mm for simply supported condition. The concentrated load was also discovered to have a major effect on the body of the sandwich plate as it was seen to generate the highest deflection among all loading configurations regardless of its boundary conditions where a simply supported condition with a point load had a high deflection amounting to 2.1mm.

Highlights

This research is based on the study of the deflection over time its use has been seen in other industries response of a structural circular sandwich plate, ranging from the space industry, civil engineering, radio supported or clamped at its boundary, under different loading electronics, and other sectors of the nation economy configurations (uniformly distributed, concentrated, and (Allen, 1969)
Showed a significantly higher deflection value for the. It basically consists of two face- 35 supported plate compared to the clamped plate for all the sheets made of high-strength material which may be various loading configurations, where a sandwich plate of isotropic or anisotropic and a core made of relatively radius 100mm under clamped conditions generated deflection of 0.05mm when exposed to a uniform load while a deflection of 0.25mm for supported condition
The concentrated load was discovered to have a major effect on the body of the sandwich plate as it was seen to generate the highest deflection among all loading configurations regardless of its boundary conditions where a supported condition with a point load had a high deflection amounting to 2.1mm

Summary

This resolves the value of constants A and B

Substituting value of A & B in w, we get the deflection function for a supported, ws. From (15), Applying clamped support boundary conditions with uniform distributed loading, where w = 0, dw dr. Expression (17) and (19) represents the deflection functions for the circular sandwich plate on supported and clamped support conditions respectively under a uniform loading. The deflection functions for point load and linearly varying loading conditions with each boundary conditions ( supported and clamped) were derived and the functions are plotted to get a visual representation of the deflection response across the symmetric half-length of the sandwich circular plate. The shapes of the plot were quite similar to support conditions was measured and the result each other, point load is a form of uniform load only that compared with the analytical model

Result

Conclusion

Applications of Sandwich Plate System for Ship