Mathematical modelling of tower cranes

ABSTRACTMATHEMATICAL MODELLlNG OF TOWER CRANESKEYWORDS:TOWER CRANE, MATHEMATICAL MODEL, VIBRATION ANALYSIS, STRESS ANALYSISIn this study, analysis of displacements and vibrations versus the applied loads of towercranes are considered by means of finite element method. Beam elements, which are consistedof tower cranes, are used for the formulation of the finite element method to obtain the results;and SAP2000 program is used as computer programming language. The displacements of thenodal points and the stresses of the beam elements are calculated for applied loads and otherforces such as wind effects, the effects of the vibrations on the tower crane sturucture and forany displacements versus the applied forces on the nodal points of the structure and naturalfrequencies related to determinated nodes are determined. As a result, the supposed windeffects are low effective and the applied loads and vibrations are more effective on the towercrane structures are obtained.