考虑Zigzag函数影响的FGM夹层双曲壳自由振动
本文选题：功能梯度材料 + 夹层双曲壳 ； 参考：《力学季刊》2017年01期
【摘要】：双曲壳被广泛应用于工程结构中,例如飞机机身,液化气船,土木建筑等,对双曲壳的动力学行为进行分析研究是国内外学者关注的热点之一.本文在Reddy高阶剪切变形理论的基础上,提出了一种考虑Zigzag函数影响的新位移场.针对FGM表层和均质芯层的夹层类型,假设材料特性沿厚度方向按幂律变化,利用所给出的新位移场以及Hamilton原理,推导出简支边界条件下功能梯度材料夹层双曲壳的偏微分运动控制方程.利用Navier法,根据简支边界条件假设振型函数,在自由振动情况下得出考虑不同长厚比,夹层厚比和体积分数的情况下系统的前五阶固有频率.此研究对深入研究其多模态共振具有重要意义.
[Abstract]:Hyperbolic shell is widely used in engineering structures, such as aircraft fuselage, liquefied petroleum gas ship, civil architecture and so on. The dynamic behavior of hyperbolic shell is one of the hot topics that scholars at home and abroad pay attention to. Based on Reddy's high order shear deformation theory, a new displacement field considering the influence of Zigzag function is proposed. For the intercalation types of FGM surface layer and homogeneous core layer, assuming that the material characteristics change according to the power law along the thickness direction, the new displacement field and Hamilton principle are given. The governing equation of partial differential motion for a functionally graded material sandwich hyperbolic shell under simply supported boundary conditions is derived. By using the Navier method and the simply supported boundary condition, the first five natural frequencies of the system are obtained in the case of free vibration with different ratio of length to thickness, interlayer thickness ratio and volume fraction. This study is of great significance for the further study of its multimodal resonance.
【作者单位】： 北京信息科技大学机电学院;
【基金】：国家自然科学基金(11472056)
【分类号】：TB123
【相似文献】
相关期刊论文 前3条
1 徐慧;张丹;陈灵娜;;空位缺陷对zigzag型石墨烯纳米带电子结构的影响[J];中南大学学报(自然科学版);2012年09期
2 ;Evaluating the maneuverability of a new type of self-propelled barge[J];Journal of Marine Science and Application;2007年04期
3 ;[J];;年期
相关会议论文 前4条
1 ;Theoretical study on the bandgap opening of graphene antidot lattices[A];2011中国材料研讨会论文摘要集[C];2011年
2 ;2D entanglement of 1D flexible zigzag coordination polymers with ‘one-over/one-under’ weave pattern[A];中国化学会第五届全国结构化学学术会议论文摘要集[C];2007年
3 ;Engineering of Graphene Structure for Electronics[A];2011中国材料研讨会论文摘要集[C];2011年
4 Jinlan Wang;Liang Ma;Qinghong Yuan;Liyan Zhu;Feng Ding;;Transition-Metal-Catalyzed Unzipping of Single-Walled Carbon Nanotubes into Narrow Graphene Nanoribbons at Low Temperature[A];第七届全国青年计算物理学术会议论文集[C];2013年
相关硕士学位论文 前2条
1 苑亚丽;多元预编码级联zigzag码[D];西安电子科技大学;2014年
2 武冬冬;zigzag型石墨烯纳米带输运性质及其边界态研究[D];复旦大学;2011年
，本文编号：1994533
本文链接：https://www.wllwen.com/guanlilunwen/gongchengguanli/1994533.html
