剪切螺栓群配合间隙概率分布研究
Research on Fit Clearance Probability Distribution of Shear Bolt Group

工程结构采用螺栓群连接时,通常螺栓与孔之间存在一定的栓孔间隙。在考虑连接孔位置度和外载荷方向的前提下,提出了在某一给定载荷传递方向上单个螺栓连接情况下栓孔最小间隙概率分布的计算方法;借助概率统计中的贝努利试验原理,提出了螺栓群中k个螺栓数量组合情况时的栓孔间隙概率计算方法。以某大型客机风挡玻璃螺栓群为例,应用Monte-Carlo抽样法,计算了单个螺栓连接的间隙分布概率,以及螺栓群配合间隙满足一定概率要求所对应的螺栓数量。
When connecting engineering structures using bolt group, usually there is a certain bolt-hole clearance. On the precondition of considering the positional tolerance of the connecting hole and the direction of the external load, the calculation method of the probability distribution of the minimum bolt-hole clearance in a given load transferring direction is put forward for the single bolt connection. Referring to Bernoulli trial principle in probability and statistics study, we propose the calculation method of the probability distribution of bolt-hole clearance is proposed for a bolt group with different number of bolts. Taking the windshield bolt group in an airliner as an example, and using Monte-Carlo sampling method, we calculate distribution probability of the bolt-hole clearance in the single bolt connection. And based on the result, for the bolt group, the probability distribution of bolt-hole clearance and the number of bolts in the bolt group catering to the certain probability request is calculated