• CN：11-2187/TH
  • ISSN：0577-6686
机械工程学报

机械工程学报 ›› 2015, Vol. 51 ›› Issue (17): 43-51.doi: 10.3901/JME.2015.17.043

• 机械动力学 • 上一篇    下一篇

复合材料层合薄壁短圆柱壳动力学相似模型几何适用区间确定方法

罗忠1,朱云鹏1,韩清凯2,王德友3   

  1. 1.东北大学机械工程与自动化学院;
    2.大连理工大学机械工程学院;
    3.中航工业集团沈阳发动机设计研究所 沈阳 110042
  • 出版日期:2015-09-05 发布日期:2015-09-05
  • 基金资助:
    国家重点基础研究发展计划(973计划，2012CB026005)、国家自然科学基金(51105064)和辽宁省自然科学基金(201202056)资助项目

Structure Size Interval of Similar Test Model of the Laminated Composite Thin-wall Short Cylinder Shell

LUO Zhong1, ZHU Yunpeng1, HAN Qingkai2, WANG Deyou3   

  1. 1.School of Mechanical Engineering & Automation, Northeastern University;
    2.School of Mechanical Engineering, Dalian University of Technology, Dalian 116024;3. Shenyang Aero-engine Design Institute, Aviation Industry Corporation of China, Shenyang 110042
  • Online:2015-09-05 Published:2015-09-05

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摘要： 针对旋转复合材料层合薄壁短圆柱壳结构的相似试验模型设计问题，提出一种不完全几何相似(畸变)模型的几何尺寸区间确定方法。用动力学平衡方程分析与敏感性分析相结合，建立层合薄壁短圆柱壳模型与原型间的相似关系，通过对导出的三种固有特性相似关系进行修正，得到层合圆柱壳动力学相似关系。以一种常用复合材料层合薄壁短圆柱壳为例，在深入研究使模型与原型在固有特性相似(即固有频率成比例映射关系、且振型保持一致)时，畸变模型的几何尺寸适用区间确定方法的基础上，利用数值分析方法，最终得到复合材料层合薄壁短圆柱壳模型和原型在不同阶次下，固有特性相似的畸变模型几何结构适用区间及其边界函数的确定方法。该研究结果为旋转层合薄壁短圆柱壳的动力学相似模型设计问题奠定了理论 基础。

关键词: 动力学, 复合材料层合薄壁短圆柱壳, 敏感性, 适用区间, 相似模型

Abstract: In allusion to the problem of designing the similarity model of rotating laminated composite thin-wall short cylinder shell, a determination method of the applicable structure size interval of distortion test model is put forward under the condition of the same nature characteristics. With the method of combining the sensitivity analysis and governing equation analysis, a distortion scaling laws of the model of rotating laminated composite thin-wall short cylinder shell is established. Under the study of the applicable structure size interval which kept the same first-order nature characteristic (nature frequency and vibration mode), a laminated composite cylinder shell which is in common use is investigated as an example. Numerical analysis method is employed to obtain the applicable structure size interval and its boundary functions. The results reveal that this work lays a theoretical foundation for the similar model structural design for such rotating laminated composite thin-wall short cylinder shell.

Key words: applicable structure size interval, dynamic, laminated composite thin-wall short cylinder shell, sensitivity analysis, similarity model

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