engleski

NUMERICAL IMPLEMENTATION OF THE DISPLACEMENT AND FORCE METHOD IN THE ANALYSIS OF THE BEAM STRUCTURES

Despite the rapid progress of the computing equipment and numerical analysis software, the analytical methods are still valuable tool for analysis of the beam structures appearing in many engineering fields: mechanical engineering, civil engineering, naval architecture, etc.. The displacement and the force methods are probably the most frequently used methods for that purpose, particularly in the situations where degree of the statical or kinematical indeterminacy is higher than two. The numerical implementation of these methods using MATLAB or OCTAVE computing platform is presented in this paper. Since the force and the displacement methods are basically represented in the matrix form, the use of MATLAB and its freeware alternatives arises naturally because these platforms are primarily oriented to deal with matrices and different forms of the matrix manipulations. Additionally, the ease of data visualisation makes these platforms suitable for the graphical representation of the solutions obtained by the force and displacement method. The developed in-house code can be used as an auxiliary tool for the check of the analytical procedures and, in extension, in many other aspects of structural analysis such as structural optimization. The short theoretical explanation of the matrix formulation for both methods is followed by few examples of the different types of the beam structures using full benefits of the MATLAB visualisation capabilities.

structural analysis ; beams ; FEM ; MATLAB

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