Journal of Engineering and Applied Sciences

Year: 2017
Volume: 12
Issue: 19
Page No. 4851 - 4855

The Effect of Surface Pressure and Elasticity to the Surface Minimum Energy with Fractional Order

Authors : E. Rusyaman, E. Carnia, K. Parmikanti, S. Sudradjat and A.K. Superiatna

Abstract: Minimization and saving are two key words that currently often related to the solution of energy problem. In this study, we discuss the fact that when an elastic flat surface is pressed from the bottom at some points then a potential energy is formed at any points on the surface towards the bottom of the surface which is called the surface energy. The problem addressed in this study is to determine the functional relationship between the minimum surface energy with the value of the surface elasticity and the value of the pressure. In the previous research, the surface can be represented as a function of two variables in the form of double sine series. In this case, the energy is defined as the integral of the square of the Laplace operator with the order of the derivative generalized into fractional value. The pressure is the value of function at the pressed point coordinates while elasticity is the value of the fractional order. Some values of the minimum energy which depend on the surface elasticity, pressure and pressure point coordinates are used as the data to obtain a regression model of the functional relationship. Knowing the relationship between the involved varaiables, the resulting regression model can be used to determine the minimum energy easily. The model reveals that the coordinates of the pressure point does not significantly affect the surface energy. The surface energy is only depend on the pressure and surface elasticity.

How to cite this article:

E. Rusyaman, E. Carnia, K. Parmikanti, S. Sudradjat and A.K. Superiatna, 2017. The Effect of Surface Pressure and Elasticity to the Surface Minimum Energy with Fractional Order. Journal of Engineering and Applied Sciences, 12: 4851-4855.

Design and power by Medwell Web Development Team. © Medwell Publishing 2024 All Rights Reserved