纤维增强复合材料层合板结构非线性振动理论分析和实验研究

项目名称： 纤维增强复合材料层合板结构非线性振动理论分析和实验研究

项目编号： No.11202009

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 郭翔鹰

作者单位： 北京工业大学

项目金额： 28万元

中文摘要： 本项目通过理论分析和实验研究相结合的方式分析了多重激励联合作用下，三种不同材料特性的复合材料层合板结构的动力学行为及复杂非线性响应，包括碳纤维增强正交铺设、碳纤维增强角铺设和碳纳米管增强正交铺设复合材料层合板，得到不同铺设方式和不同增强材料对复合材料层合板结构动态性能的影响。研究由多模态参与的非线性系统产生不同内共振响应的表现，包括分叉、混沌、多脉冲跳跃等一系统特有的非线性响应特性，重点分析结构高频模态振动激发起低频模态和超低频的大幅振动现象，结合碳纤维增强正交铺设复合材料层合板振动的实验结果，分析此类现象产生的内在机理，探讨结构在内共振中不同耦合模态间的能量传递问题，从而为结构中由共振诱发的突发性结构失效提供有效的预防措施。本项目的研究成果能促进非线性动力学理论在复合材料层合板结构中的应用和发展，为实际工程应用中复合材料层合板结构的优化设计和振动控制提供理论储备和技术支持。

中文关键词： 纤维增强复合材料板；角铺设；纳米增强复合材料；非线性动力学；混沌

英文摘要： Combined theoretical analysis and experimental studies,this project analyzes the dynamical behavior and complex nonlinear responses of the composite laminated plate structures subjected to multi excitations with three different material properties, which include the carbon fiber reinforced symmetric cross-ply, carbon fiber reinforced angle-ply and carbon nano reinforced symmetric cross-ply composite laminated plates. The effects of different laying way and different reinforced materical on the vibration responses are inverstigated.The performance of different internal resonance responses of nonlinear multi-modal system are studied, such as bifurcation, chaos and multi-pulse jump and so on, espacially the phenomena that vibration of high frequency mode is able to excite large amplitude vibrations of the low-frequency mode and ultra-low frequency phenomena.United the vibration experimental results of symmetric cross-ply composite laminated rectangular plate, further study will continue to discuss the inherent mechanism of such phenomenon and explore the energy transfer of the different modes in the resonances of the plate systems. So that, we can support an effective measure to prevent the sudden destruction of structure in the vibration state. The research results of this project will promote the nonlinear

英文关键词： Fiber-reinforced composite plates；angle-ply；nano-reinforced composite；nonlinear dynamics；chaos