On the vibrations of the imperfect sandwich higher-order disk with a lactic core using generalize differential quadrature method
On the vibrations of the imperfect sandwich higher-order disk with a lactic core using generalize differential quadrature method
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DOI：
10.1016/j.compstruct.2020.113150
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发表时间：
2020-10
影响因子：
6.3
通讯作者：
M. Al-Furjan;A. Hatami;M. Habibi;Lijun Shan;A. Tounsi
中科院分区：
文献类型：
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作者：
M. Al-Furjan;A. Hatami;M. Habibi;Lijun Shan;A. Tounsi
本文给出了含有乳酸芯(蜂窝)、两层含SMA纤维和两层外层(多尺度混杂纳米复合材料)的夹心圆盘的频率响应。蜂窝芯由铝制成，重量轻，刚性高。采用混合规则和修正的Halpin-Tsai模型，给出了复合层的有效材料常数。利用哈密顿原理，推导出结构的控制方程，并用广义微分求积法(GDQM)求解。考虑了用于模拟夹心圆盘各层之间的界面的兼容性方程。然后，对形状记忆合金纤维、边界条件、内外半径比、蜂窝网络角、蜂窝厚长比、纤维角、碳纳米管质量分数、蜂窝与面片厚度比对多相夹层圆盘频率的影响进行了参数研究。结果表明，采用蜂窝网络作为结构的核心，可以显著提高结构的动力响应。另一个结果是，如果有CC、CS边界条件，随着θh/π的不断增加，动力响应趋于下降。
This article presents the frequency responses of a sandwich disk with a lactic core (honeycomb), two middle layers containing SMA fiber, and two outer layers (multi-scale hybrid nanocomposite (MHC)). The honeycomb core is made of aluminum due to its low weight and high stiffness. The rule of the mixture and modified Halpin–Tsai model are engaged to provide the effective material constant of the composite layers. By employing Hamilton’s principle, the governing equations of the structure are derived and solved with the aid of the generalized differential quadrature method (GDQM). Compatibility equations are considered for modeling the interface between the layers of the sandwich disk. Afterward, a parametric study is done to present the effects of SMA fiber, boundary conditions, outer to inner radius ratio, honeycomb network angle, thickness to length ratio of the honeycomb, fibers angle, weight fraction of CNTs, honeycomb to face sheet thickness ratio on the frequency of the multi-phase sandwich disk. The results show that employing the honeycomb network as the core of the structure improves the dynamic response of the structure, impressively. Another consequence is that if there are CC, CS boundary conditions, by ever-increase in the θ h/π, the dynamic response tends to decline.