纤维增强复合薄板非线性内共振表征测试方法研究  

STUDY ON CHARACTERIZATION TEST METHOD OF NONLINEAR INTERNAL RESONANCE OF FIBER-REINFORCED COMPOSTE THIN PLATE

作　　者：李晖[1,2] 梁晓龙 常永乐 闻邦椿[1,2] LI Hui;LIANG Xiao-long;CHANG Yong-le;WEN Bang-chun(School of Mechanical Engineering&Automation,Northeastern University,Liaoning,Shenyang 110819,China;Key Laboratory of Vibration and Control of Aeronautical Power Equipment of the Ministry of Education,Northeastern University,Liaoning,Shenyang 110819,China)

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819 [2]东北大学航空动力装备振动及控制教育部重点实验室,辽宁沈阳110819

出　　处：《工程力学》2018年第11期197-205,222,共10页Engineering Mechanics

基　　金：国家自然科学基金项目(51505070);中央高校基本科研业务费专项资金项目(N150304011;N160313002;N160312001;N170302001);东北大学航空动力装备振动及控制教育部重点实验室研究基金项目(VCAME201603)

摘　　要：提出了基于整数倍协调法的纤维增强复合薄板非线性内共振的表征测试方法。首先,为使复合薄板的前两阶固有频率呈现1∶2、1∶3等整数倍关系,基于该方法推导出复合薄板内共振固有频率的显示表达式,预先确定符合内共振形成条件的尺寸参数。然后,阐述了纤维增强复合薄板非线性内共振的表征测试原理,并总结概括出一套合理、规范的测试流程。最后,以TC300碳纤维/树脂基复合薄板作为研究对象,并对其1∶2内共振现象进行了表征测试研究。结果表明,当以第二阶固有频率进行激励时,可发现该类型复合薄板1∶2内共振的非线性振动能量传递行为。但随着激励幅度的增加,其低阶固有频率处的共振幅值相对于高阶固有频率处的共振幅值在逐渐减小,即内共振现象在逐渐减弱,其振动形态逐渐变为单倍周期运动。The characterization test method of nonlinear internal resonance for a fiber-reinforced composite thin plate(FRCP)based on integer-multiple coordination technique was proposed.Firstly,in order to make the first two natural frequencies of such a composite plate have a ratio of 1∶2 or 1∶3,the explicit expressions of internal resonance frequencies were derived,and the dimension parameters conforming to the formation condition of internal resonance phenomenon were also pre-determined.Then,the characterization test principle of internal resonance of FRCP was illustrated,so that a reasonable and standard test procedure can be summarized.Finally,the TC300 carbon fiber/resin composite plate was taken as a research object,and its 1∶2 internal resonance phenomenon was studied.It has been found that when the composite plate was excited by the second natural frequency,the nonlinear vibration energy transfer behavior can be discovered under 1∶2 internal resonance state.However,with the increase of exciting level,the resonance amplitude at the lower natural frequency would decrease,compared with the one of higher natural frequency,i.e.,the internal resonance phenomenon of FRCP was becoming weak,and its vibration motion gradually changed into a singular period.

关 键 词：纤维增强复合薄板 内共振 整数倍协调法 表征测试方法 相图轨迹 

分 类 号：TB535.1[理学—物理]