Abstract
According to the stochastic design method, the state functions of the design conditions are often built with the appearance of the input random variables with the hypothetical distribution functions and the random responses obtained from the solution of the computational model. This article investigates dynamic behavior of an overhead crane within the system parameters as random variables. First, the physical modeling and differential equation describing the motion of the crane system are derived using the Lagrange equation. Then, the numerical Newmark-β integral method is applied for characterizing dynamic responses of the crane system. Finally, the dynamic responses of the bridge beam are investigated when assuming the model parameters follow the normal distribution. The obtained results show that the distribution characteristics of the vibration response parameters of the bridge girder depend on the standard deviation of the input parameters and the position of the trolley during the investigation time. Specifically, a standard deviation value of 0.15 can cause an uncertainty ~75 % of displacement at the cross-section in the middle of the girder.
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