Estimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data
Estimation method of support reaction on face sheet of sandwich panel by inverse analysis of deformed shape data
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DOI：
10.1299/mej.15-00597
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发表时间：
2016-01
影响因子：
4.4
通讯作者：
Y. Kishimoto;Yukiyoshi Kobayashi;T. Ohtsuka;S. Yamagata
中科院分区：
文献类型：
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作者：
Y. Kishimoto;Yukiyoshi Kobayashi;T. Ohtsuka;S. Yamagata
当局部压缩载荷垂直作用在夹芯板的面板上时，面板将在相对较低的载荷下发生偏转，芯层将被压碎。为了评估夹层板在局部受压下的力学性能，必须估算由芯层支撑的面板上的反力。然而，由于核心层已被压碎，直接测量支撑反力是困难的。本文介绍了一种新的方法来估计面板上的支持反力的面板变形数据的反分析的夹层板。该方法采用基于应变增量理论的有限单元法，以面板的实测变形为边界条件，对面板进行有限元分析。然后，通过Tikhonov正则化估计面板的有限元模型的节点载荷，该节点载荷等效于支撑反力。为了证明所提出的方法的有效性，进行了数值模拟。在数值模拟中，预先给出了面板的几种支承条件。在此基础上，采用直接分析的方法，得到了各工况下面板的正确支承反力和变形形状。对变形后的模拟数据进行反分析，估算支座反力。结果表明，用该方法估算的支座反力与正确值吻合较好。此外，它的结论是，所提出的方法需要的支持点的位置作为先验信息。
When local compressive load is vertically applied on the face sheet of the sandwich panel, the face sheet will be deflected and the core layer will be crushed at relatively low load. In order to evaluate the mechanical property of the sandwich panel subjected to the local compression, it is important to estimate the reaction on the face sheet supported by the core layer. However it is di ffi cult to directly measure the support reaction because the core layer has been crushed. This paper describes a novel method to estimate the support reaction on the face sheet of the sandwich panel by inverse analysis of the deformed shape data of the face sheet. In this method, the finite element method based on strain increment theory is applied to the face sheet using the measured deflection of the face sheet as the boundary condition. Then it estimates the nodal load of the finite element model of the face sheet that is equivalent to the support reaction by the Tikhonov regularization. In order to demonstrate the validity of the proposed method, numerical simulations have been performed. In the numerical simulations, the several support conditions of the face sheet were given in advance. Then the direct analysis was applied to obtain the correct support reaction and the deformed shape of the face sheet in each condition. The inverse analysis was applied on the simulation data of the deformed shape to estimate the support reaction. The results show that the support reaction estimated by the proposed method has good agreement with the correct value. Moreover, it is concluded that the proposed method requires the location of the support point as a priori information.