THE SCHEME OF BIORTHOGONALIZATION OF VECTORS IN SOLVING THE PROBLEM OF RECTANGULAR PLATE BENDING

2019 ◽  
Vol 50 (6) ◽  
pp. 673-678
Author(s):  
Vladimir Ivanovich Lysukhin ◽  
Julian Fedotovich Yaremchuk
Keyword(s):  
Rectangular Plate ◽  
Plate Bending

scholarly journals Finite difference solution of plate bending using Wolfram Mathematica

2019 ◽  
Vol 13 (3) ◽  
pp. 241-247
Author(s):  
Katarina Pisačić ◽  
Marko Horvat ◽  
Zlatko Botak
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Rectangular Plate ◽  
Difference Method ◽  
Mapping Function ◽  
Equation System ◽  
Plate Bending ◽  
Wolfram Mathematica ◽  
Linear Equation System ◽  
Finite Difference Solution

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.

A general solution for rectangular plate bending

1979 ◽  
Vol 45 (4) ◽  
pp. 111-118 ◽  
Author(s):  
Madhujit Mukhopadhyay
Keyword(s):  
General Solution ◽  
Rectangular Plate ◽  
Plate Bending

RECTANGULAR PLATE BENDING UNDER PRESSURE

2019 ◽  
Vol 0 (4) ◽  
pp. 5-10
Author(s):  
M.A. Ilgamov ◽  
◽  
A.A. Filippov ◽  
Keyword(s):  
Rectangular Plate ◽  
Plate Bending
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