کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
287022 | 509529 | 2016 | 27 صفحه PDF | دانلود رایگان |

• We introduced a hybrid uncertain model of LSOAAC with random and interval parameters.
• A hybrid uncertain dynamic response equilibrium equation is constructed.
• A MHUAM for the LSOAAC response field problem is proposed.
• Simulations show the feasibility and efficiency of MHUAM compared with HMCM and IPM.
For the prediction of dynamic response field of the luffing system of an automobile crane (LSOAAC) with random and interval parameters, a hybrid uncertain model is introduced. In the hybrid uncertain model, the parameters with certain probability distribution are modeled as random variables, whereas, the parameters with lower and upper bounds are modeled as interval variables instead of given precise values. Based on the hybrid uncertain model, the hybrid uncertain dynamic response equilibrium equation, in which different random and interval parameters are simultaneously included in input and output terms, is constructed. Then a modified hybrid uncertain analysis method (MHUAM) is proposed. In the MHUAM, based on random interval perturbation method, the first-order Taylor series expansion and the first-order Neumann series, the dynamic response expression of the LSOAAC is developed. Moreover, the mathematical characteristics of extrema of bounds of dynamic response are determined by random interval moment method and monotonic analysis technique. Compared with the hybrid Monte Carlo method (HMCM) and interval perturbation method (IPM), numerical results show the feasibility and efficiency of the MHUAM for solving the hybrid LSOAAC problems. The effects of different uncertain models and parameters on the LSOAAC response field are also investigated deeply, and numerical results indicate that the impact made by the randomness in the thrust of the luffing cylinder FF is larger than that made by the gravity of the weight in suspension QQ. In addition, the impact made by the uncertainty in the displacement between the lower end of the lifting arm and the luffing cylinder aa is larger than that made by the length of the lifting arm LL.
Journal: Journal of Sound and Vibration - Volume 374, 21 July 2016, Pages 111–137