Finite difference analysis of plate structures

LI, C.

Finite difference analysis of plate structures

Master thesis (2020)

Authors

C. LI Civil Engineering & Geosciences

Contributors

P.C.J. Hoogenboom Applied Mechanics (mentor)

M.A.N. Hendriks Applied Mechanics (graduation committee member)

Faculty

Civil Engineering & Geosciences, Civil Engineering & Geosciences

Python Finite Difference Method (FDM) Plate

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Published Date

24-11-2020

Language

English

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Faculty

Civil Engineering & Geosciences

Abstract

A new approach to applying the finite difference method for solving the plate model problem. By decomposing higher-order differential equations in plate theory into several first-order differential equations, a python program was built in an attempt to solve those equations with first-order finite difference approximation. After testing several square plate models with various boundary and load conditions, this program has been proved to work. The major results (displacement, bending moment, and shear force) are generally 10 to 20% smaller than the analytical solutions. The difference can be caused by the grid size but also by a programming error. Compared to the finite element method, this python program has a smaller code size but with less accuracy and more computational time.

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