Plane Stress Analysis of Circular Plates by the Nodal Line Finite Difference Method.

Document Type : Research Studies

Author

Associate Professor of Structural Engineering Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Abstract

Plane stress analysis of elastic circular plates using the nodal line finite difference method. Developed earlier by the Author. Has been presented. The analysis deals with the in-plane displacements and requires the solution of two simultaneous second order partial differential equations. A trigonometric basic functions have been used to express the displacement components variation in the circumferential direction. According, the governing partial differential equations are reduced to two simultaneous nodal line difference equations by means of replacing the derivatives by difference expressions. Numerical examples are presented to demonstrate the efficiency and the accuracy of the method.

Main Subjects