Authors:Kamran Malik,Abdul Wasim Shaikh,Muhammad Mujtaba Shaikh,
Keywords:Timoshenko beam,Finite-difference solution,Rotation,Displacement,Constant load,Variable load,Interpolation,
AbstractWe propose and implement a finite difference scheme for the numerical solution of the Timoshenko beam model without locking phenomenon. The averaging concept is used in approximating the function, and thus developing the scheme for elements. Finally, the system is discretized into the algebraic system using the proposed scheme and the numerical solution is attained. The numerical solutions are attained for a constant load and a variable load comprising linear and exponential functions. The mathematical model of the Timoshenko beam (TB) problem in the form of a boundary-value problem has been solved successfully for the rotation and displacement parameters. The results agree with other schemes in the literature for various values of the parameter and step size.
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