粮食筒仓仓壁侧压力概率特性的贝叶斯推断方法

    Bayesian inference method for probabilistic characteristics of the silo wall lateral pressure in food silo

    • 摘要: 贮料时粮食对仓壁的侧压力是设计筒仓的重要指标,由于各种不确定性因素的存在,准确获得侧压力较为困难。首先利用侧压力试计比(试验监测值和理论计算值之比)将收集到的侧压力数据进行无量纲化处理。然后利用数理统计理论,建立侧压力数据的优化处理模型,将侧压力数据优化为“好数据”和“一般数据”,剔除离散性较大的数据,用随机加权法对优化后的小样本数据进行加权处理,再利用贝叶斯统计理论给出侧压力概率特性的推断方法。最后基于河南省国家粮食库库区边缘的29号浅圆仓侧压力的试验监测值和理论计算值验证此方法的有效性。为粮仓的可靠度研究提供一定的理论基础,推动可靠度设计理论在粮仓结构中的应用。

       

      Abstract: Lateral pressure on the silo wall is an important index for silo design. However, it is difficult to accurately obtain the lateral pressure due to various uncertainties. In this paper, the experimental lateral pressures were collected and then subjected to dimensionless treatment by calculating the ratio of the experimental value to the theoretical calculated value. Based on mathematical statistics method, an optimal processing model for the lateral pressure was developed. In this model, the collected data were sorted into good data and ordinary data, among which the data with large discreteness were removed. A random weighing method was used for processing the optimized small sample data. According to Bayesian statistics, inferential method for modeling the probability characteristics of lateral pressures on silo walls in food silo was established. The validity of this method was verified by the experimental and theoretical data from the No. 29 shallow silo in Henan State Grain Reserve. This method provides theory foundation for the reliability study of food silo and promotes the application of reliability design theory in granary structure.

       

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