A semi-analytical method to evaluate the dynamic response of functionally graded plates subjected to underwater shock

A semi-analytical method to evaluate the dynamic response of functionally graded plates subjected to underwater shock
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评估水下冲击下功能梯度板动态响应的半解析方法

DOI:
10.1016/j.jsv.2014.10.013
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发表时间:
2015-02
影响因子:
4.7
通讯作者:
Liu, Guohua
Liu, Guohua
中科院分区:
工程技术2区
文献类型:
--
作者:
Wang, Zhenyu;Wang, Lizhong;Izzuddin, Bassam A.;Liu, Guohua

文献摘要

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功能梯度(FG)板目前很受关注,并被广泛应用于各种应用,包括深海勘探和海军/海洋和沿海工程,尽管迄今为止对这一主题的研究很少。为了改善这种情况,本文提出了一种研究FG板在水下冲击作用下弹性动力响应的解析方法,它们的材料特性沿厚度方向按相同的指数规律变化。将Taylor׳S一维流-固相互作用模型推广到适用于FG平板的三维模型。将扩展的FSI模型和拉普拉斯变换结合到状态空间方法中,利用拉普拉斯变换的数值逆得到了时间域内的暂态解。首次导出了作用在整个时间域中的正面和背面的总力的解。通过与相关文献中发现的其他方法和实验结果的比较,验证了本方法的有效性。然后研究了板背面的边界条件和FG参数对正面和背面压力、空化、位移、应力和总力的影响,并详细研究了气垫板和水垫板的空化区的时间进程。本文提出的方法可用于未来考虑FSI效应时FG结构响应的三维评估。希望这些结果能使人们对流体与FG板相互作用的机理有一个全面的了解,并可作为进一步研究的基准方案。
Functionally graded (FG) plates are of current interest and are widely used in a variety of applications including deep sea exploration and naval/marine and coastal engineering, despite the fact that there has, to date, been little research undertaken on the subject. In order to remedy the situation, an analytical method to investigate the elastic dynamic responses of FG plates to underwater shock is proposed here, their material properties varying by the same exponential law along the thickness direction. Taylor׳s one dimensional fluid solid interaction (FSI) model is extended to fit a three dimensional model suitable for FG plates. The extended FSI model and Laplace transform are integrated into the state space method, with the transient solution in the time domain being obtained by using the numerical inversion of the Laplace transform. The solutions of the total forces acting throughout the front and back faces in the time domain are derived for the first time. The present method is validated by comparing it with the results of other methods and experiments found in the relevant literature. The influence of the boundary conditions at the backside of the plate and FG parameters on front and back side pressures, cavitations, displacements, stresses and total forces acting throughout the faces are then investigated, with the time progression of the cavitation areas of air-backed plates and water-backed plates being investigated in detail. The method proposed in this paper may prove useful for the future three-dimensional assessment of the response of FG structures when FSI effects are taken into consideration. It is hoped that the results will lead to a full understanding of the mechanism of the interaction between fluid and an FG plate, and that they can be used as benchmark solutions in further research.
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