东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2017, Vol. 38 ›› Issue (12): 1731-1736.DOI: 10.12068/j.issn.1005-3026.2017.12.013

• 机械工程 • 上一篇    下一篇

纤维增强悬臂复合薄板固有特性分析与验证

李晖， 吴怀帅， 薛鹏程， 闻邦椿   

  1. (东北大学 机械工程与自动化学院， 辽宁 沈阳110819)
  • 收稿日期:2017-01-10 修回日期:2017-01-10 出版日期:2017-12-15 发布日期:2018-01-02
  • 通讯作者: 李晖
  • 作者简介:李晖(1982-)，男，内蒙古丰镇人，东北大学副教授，博士后研究人员； 闻邦椿(1931-)，男，浙江温岭人，东北大学教授，博士生导师，中国科学院院士.
  • 基金资助:
    国家自然科学基金资助项目 (51505070)； 中央高校基本科研业务费专项资金资助项目(N150304011， N160313002)； 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资助项目(VCAME201603).

Analysis and Verification of Natural Characteristics of Fiber-Reinforced Thin Cantilever Plate

LI Hui， WU Huai-shuai， XUE Peng-cheng， WEN Bang-chun   

  1. School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.
  • Received:2017-01-10 Revised:2017-01-10 Online:2017-12-15 Published:2018-01-02
  • Contact: LI Hui
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摘要： 采用理论与实际相结合的方式，对悬臂状态下纤维增强复合薄板的固有特性进行了分析与验证.首先，基于双向梁函数法，推导了具任意纤维角度下该类型复合薄板的最大动能和应变能，明确了利用该方法获取固有频率和模态振型的原理.然后，编写了Matlab计算程序，并给出了分析纤维增强悬臂薄板固有特性的具体流程.最后，搭建了固有特性测试系统，并以TC500碳纤维/树脂复合薄板为研究对象，进行了实际测试.验证结果表明，基于双向梁函数法的纤维增强复合薄板固有频率计算结果与实验结果的误差在3.7%~9.7%，且前5阶振型结果也与测试振型结果一致，进而验证了所提出的理论分析方法的正确性.

关键词: 纤维增强, 悬臂薄板, 固有特性, 双向梁函数法, Matlab

Abstract: This research combines theory with experiment to analyze and verify the natural characteristics of fiber reinforced composite thin plate under cantilever boundary condition. Firstly， based on two-dimension beam function method， the largest kinetic energy and strain energy of such composite plate with arbitrary fiber angle have been deduced， and the corresponding principles to analyze natural frequencies and modal shapes have been clarified. Then， the Matlab calculating program has been composed， and the specific analysis procedures of natural characteristics of fiber-reinforced thin cantilever plate are also proposed. Finally， TC500 fiber/epoxy composite plate is taken as the study object， and the frequency and shape results are measured based on the established test system of natural characteristics of such composite plate. The result frequencies calculated based on two-dimension beam function method has good consistent with the experimental results， and the related errors are within the range of 3.7%~9.7%. Besides， the first 5 modal shapes are also consistent with the measured shape results， thus the effectiveness of above method is verified.

Key words: fiber-reinforced, thin cantilever plate, natural characteristics, two-dimension beam function method, Matlab

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