Modelling of A36 Steel Plate Dynamic Response to Uniform Partially Distributed Moving Iron Load using Differential Transform Method

2nd International Conference on Engineering for Sustainable World

Agarana, Michael C.^1,2 ; Akinlabi, Esther T.^1

Department of Mechanical Engineering Science, University of Johannesburg, South Africa^1

Department of Mathematics, Covenant University, Nigeria^2

关键词: Absolute values;    Algebraic equations;    Computer Software;    Maple;    Constant velocities;    Differential transform method;    Dynamic behaviors;    Fourth order partial differential equations;    Threedimensional (3-d);   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/413/1/012011/pdf
DOI  :  10.1088/1757-899X/413/1/012011

来源: IOP

【 摘 要 】

In the present paper the authors focus on dynamic response of A36 steel plate supported by a simple subgrade, under a moving iron load. The fourth order partial differential equations governing the dynamic behavior of the plate were transformed into their algebraic forms using differential transform method. The new set of algebraic equations were solved analytically. Computer software - Maple was deployed to plot the three-dimensional (3D) graphs. The results obtained revealed that the absolute value of the deflection of the steel was very high when the mass of the iron load is highest at constant velocity. Also, the A36 steel plate deflected more under a moving iron load especially with a high velocity and less foundation rigidity.