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首页> 外文期刊>Mechanics & Industry >Cyclic virtual test on wood furniture by Monte Carlo simulation: from compression behavior to connection modeling
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Cyclic virtual test on wood furniture by Monte Carlo simulation: from compression behavior to connection modeling

机译：Monte Carlo仿真木制家具上的循环虚拟测试：从压缩行为到连接建模

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摘要

Prediction of durability of wood product is a major challenge and an important goal for furniture industry. Numerical simulation based on approximation methods such as the finite element method (FEM) is an efficient and powerful tool to address this challenge while avoiding expensive experimental testing campaigns. Nevertheless, the strong heterogeneity of wood-based materials, the specific geometrical characteristics of wood-based structures (such as furniture that can often be represented as an assembly of beams, plates and/or shells) and the complex nonlinear 3D local behavior near the connections between structural parts may induce some difficulties in the numerical modeling and virtual testing of furniture for robust design purposes. Especially, when cyclic loading occurs, the behavior of junctions in furniture involves a local permanent strain that increases with the number of cycles and that can lead to an important gap potentially affecting the structural integrity of furniture. In this paper, we present an experimental campaign of cyclic compression tests carried out on spruce specimens. Theses specimens are cut out from a bunk bed and loaded under cyclic compression. The cyclic compression loading applied to the specimens leads to an evolution of the permanent strain during cycles that is modeled using a simple law describing the displacement gap as a function of the number of cycles. Considering the strong dispersion in the mechanical properties of wood-based materials and the variabilities induced by the experimental configuration, a stochastic modeling of the gap is proposed by having recourse to the maximum entropy (MaxEnt) principle in order to take into account the random uncertainties on the experimental setup and between the test specimens. The random mechanical response of a complex corner junction in a bunk bed under cyclic loading is then numerically simulated by using a Monte Carlo numerical simulation method as stochastic solver. This provides independent realizations of the random gap evolution (with respect to the number of cycles) in the bunk bed corner, allowing probabilistic quantities of interest related to the random gap, such as first- and second-order statistical moments (mean value, standard deviation) as well as confidence regions (with a given probability level), to be estimated.
机译：预测木材产品的耐久性是家具行业的主要挑战和重要目标。基于近似方法的数值模拟，如有限元方法（FEM）是一种有效且强大的工具，以解决这一挑战，同时避免昂贵的实验测试运动。尽管如此，木材基材料的强异质性，木制结构的特定几何特征（如家具，例如可以用作梁，板和/或壳体的组装）和附近的复杂非线性3D局部行为结构部件之间的连接可能在鲁棒设计目的中对家具的数值建模和虚拟测试引起一些困难。特别是，当发生循环载荷时，家具中的连接行为涉及局部永久性应变，随着循环的数量增加，这可能导致可能影响家具结构完整性的重要差距。在本文中，我们介绍了在云杉标本上进行的循环压缩试验的实验运动。这些标本从双层床中切出并在循环压缩下装载。施加到样本的循环压缩加载导致在使用描述位移间隙的简单法以循环次数的函数建模的循环期间的永久应变的演变。考虑到基于木材的机械性能的强大分散和通过实验配置引起的变形性，通过求助于最大熵（MAXENT）原则来提出间接建模，以考虑随机的不确定性在实验设置和试样之间。然后通过使用Monte Carlo数值模拟方法作为随机求解器的蒙特卡罗数值模拟方法来数值模拟循环加载下的复杂角响应的随机机械响应。这提供了双层床角中的随机间隙演化（关于循环数）的独立实现，允许与随机间隙相关的概率数量，例如第一阶和二阶统计矩（平均值，标准差异）以及估计置信区（具有给定概率水平）。

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