Investigation dynamic behaviors of the crane beams under moving load

The moving load problem is an important issue that affects many engineering fields and causes dynamic effects in the cranes. Nowadays, as the cranes are operated with higher speeds, in the design of the cranes, the dynamic behaviors arising from the moving loads should be investigated and analysed accurately. Therefore, dynamic behaviors of the crane beams under the moving load were investigated in this study. For that purpose, the moving load problem was stated and solved mathematically for a simply supported, homogeneous, an isotropic Euler-Bernoulli type beam representing the main beam of the crane. The moving load is acted as a concentrated and singular load on the beam. Thus, the mathematical models that gives the deflections, bending moment, shear forces were obtained for the crane beams. In this study, the mathematical models obtained for the damped condition are compared with the mathematical models obtained from the previous studies in the literature for the undamped condition. Then, the algorithms were created in the Matlab program and the simulation studies were carried out for various working scenarios. The scenarios were determined for different speeds and different mass ratios and were evaluated by the diagrams and tables the deflections, bending moment, shear force that occurred on the beam in the damped and undamped situation. Besides, results obtained from the mathematical models with damped and undamped situations were also compared. As a result, the studies show that static calculations are inadequate for cranes working in high speed. So, it will be appropriate both to analyze dynamic behaviors arising from the moving load according to the working scenarios and to design according to obtained results for the cranes.