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Free vibration analysis of adhesively bonded single lap joints with wide and narrow functionally graded plates

机译:宽和窄功能梯度板的粘合单搭接接头的自由振动分析

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摘要

This study investigates the three-dimensional free vibration behaviour of an adhesively bonded functionally graded single lap joint. The functionally graded plates of the adhesive joint are composed of ceramic (Al_2O_3) and metal (Ni) phases varying through the plate thickness. The effects of geometrical parameters, such as plate width, plate thickness and overlap length, especially the effect of the similar and dissimilar material composition variations through-the-thicknesses of both upper and lower plates on the natural frequencies and corresponding mode shapes of the adhesive joint were also investigated using both the finite element method and the back-propagation artificial neural network (ANN) method. A series of the free vibration analyses were carried out for various random values of the geometrical parameters and the through-the-thickness material composition so that a suitable ANN model could be trained successfully. The proposed ANN models indicated that increasing plate thickness and compositional gradient exponent resulted in increases in the first 10 frequencies whereas the overlap length has negligible effect. In contrast, the natural frequencies decrease suddenly with increasing the plate width. For the plate width >50 mm, the natural frequencies become very low and the effect of the other design parameters on the natural frequencies becomes minor. In case the upper and lower plates have similar or dissimilar material composition variations the mode shapes were affected considerably, but the natural frequencies.
机译:这项研究调查了功能性功能梯度单搭接接头的三维自由振动行为。粘合剂接头的功能梯度板由陶瓷(Al_2O_3)和金属(Ni)相组成,这些相随板厚的变化而变化。几何参数(例如板的宽度,板的厚度和重叠长度)的影响,尤其是上下板的厚度对相似和不相似的材料组成变化的影响,对粘合剂的固有频率和相应的模态形状还使用有限元方法和反向传播人工神经网络(ANN)方法对关节进行了研究。针对几何参数的各种随机值和整个材料的厚度进行了一系列的自由振动分析,从而可以成功地训练合适的ANN模型。拟议的人工神经网络模型表明,增加板厚和成分梯度指数会导致前10个频率的增加,而重叠长度的影响却微不足道。相反,固有频率随着板宽度的增加而突然降低。当板宽> 50 mm时,固有频率变得很低,其他设计参数对固有频率的影响也很小。如果上板和下板的材料组成变化相似或不相似,则振型会受到很大影响,但固有频率会受到影响。

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