基于蒙特卡洛法的粮食侧压力下SIW墙板可靠性及灵敏度分析

    Reliability and sensitivity analysis of SIW wall panel under grain lateral pressure based on Monte Carlo method

    • 摘要: 结构-隔热一体化复合墙板(SIW墙板)是一种新型粮食平房仓墙体构件,由内、外叶混凝土墙和保温板通过连接件组成。为研究粮食侧压力作用下SIW墙板力学性能的可靠性及随机参数的灵敏度,建立了有限元分析模型,以内叶墙挠度和混凝土强度不同控制条件的功能函数为失效准则,采用蒙特卡洛拉丁超立方抽样方法,对影响SIW墙板承载力的随机输入参数按分布类型开展了100 000次抽样及计算,分析了SIW墙板的可靠性,量化了随机参数的灵敏度。研究结果表明:有限元模拟结果与试验结果相差不足5%,功能函数失效概率分别为Pf1=5.02×10-2、Pf2=3.30×10-4,建立的有限元模型是有效的,对比规范其可靠度均在安全范围之内,应主要考虑影响混凝土强度失效较大的参数;粮食重力密度、混凝土弹性模量和保温板弹性模量的变化对SIW墙板混凝土强度可靠性的影响较大。研究成果为SIW墙板结构设计及优化提供了参考依据。

       

      Abstract: The "Structural-Insulation" integrated composite wall panel (SIW wall panel) is a new type of grain warehouse wall element, which is composed of the inner, outer leaf concrete walls, and the insulation panel through the connectors. It can effectively improve the shortcomings of traditional bungalow brick walls, such as low bearing capacity and insufficient thermal insulation performance, as a composite structure with complex composition. The purpose of this work was to study the reliability of the mechanical properties of the SIW wall panel under the action of grain lateral pressure and the sensitivity of random parameters to the SIW wall panel, so as to better design and optimize the SIW wall panel structure. Firstly, a finite element analysis model was established and its validity was verified by tests. Meanwhile, the functional functions of different control conditions of the inner leaf wall deflection and the concrete strength were set as the failure criterion. Then the Monte Carlo Latin hypercube sampling and ANSYS finite element software were used to establish a stochastic finite element method. According to the distribution type, the random input parameters that affect the bearing capacity of SIW wall panels were substituted into the functional functions and then 100 000 sampling calculations were carried out. The failure probabilities for the two functions were subsequently calculated. They were used as a criterion for judging structural reliability against specifications. Finally, the sensitivity of all random parameters to the functional functions was quantified. In order to improve the reliability, it is necessary to control the variability of the parameters affecting the sensitivity of the structure failure and reduce its random dispersion. Meanwhile, the SIW structure can be optimized according to the parameters adjusting the positive and negative sensitivity. The results showed that the difference between the finite element simulation results and the test results was less than 5%. The failure probabilities of functional functions were Pf1=5.02×10-2, Pf2=3.30×10-4. The established finite element model was valid. The reliability of the failure probability of the two functional functions was within the safe range compared to the specification. When designing the SIW wall panel structure, the parameters that greatly affect the concrete strength failure should be mainly considered. The changes of grain gravity density, the elastic modulus of concrete, and the elastic modulus of insulation board had a significant influence on the overall reliability of the SIW wall panel. The research results provide a reference for the structural design, application, and optimization of the SIW wall panel.

       

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