Review article

https://doi.org/10.31803/tg-20190328111708

Finite difference solution of plate bending using Wolfram Mathematica

Katarina Pisačić orcid.org/0000-0002-9425-3708 ; University North, University center Varaždin, 104. brigade 3, 42000 Varaždin, Croatia
Marko Horvat ; University North, University center Varaždin, 104. brigade 3, 42000 Varaždin, Croatia
Zlatko Botak orcid.org/0000-0002-5590-0917 ; University North, University center Varaždin, 104. brigade 3, 42000 Varaždin, Croatia

Abstract

This article describes the procedure of calculating deflection of rectangular plate using a finite difference method, programmed in Wolfram Mathematica. Homogenous rectangular plate under uniform pressure is simulated for this paper. In the introduction, basic assumptions are given and the problem is defined. Chapters that follow describe basic definitions for plate bending, deflection, slope and curvature. The following boundary condition is used in this article: rectangular plate is wedged on one side and simply supported on three sides. Using finite difference method, linear equation system is given and solved in Wolfram Mathematica. System of equations is built using the mapping function and solved with solve function. Solutions are given in the graphs. Such obtained solutions are compared to the finite element method solver NastranInCad.

Keywords

Finite difference method; NastranInCad; Mathematica

Hrčak ID:

225479

URI

https://hrcak.srce.hr/225479

Publication date:

23.9.2019.

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