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      |本期目錄/Table of Contents|

      [1]周子宣,徐自力.三維葉盤失諧模態分析的攝動降階方法[J].西安交通大學學報,2019,53(09):42-48.[doi:10.7652/xjtuxb201909006]
       ZHOU Zixuan,XU Zili.A Perturbed Order-Reduction Method for Modal Analysis of 3-D Blade Disk with Mistuning[J].Journal of Xi'an Jiaotong University,2019,53(09):42-48.[doi:10.7652/xjtuxb201909006]
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      三維葉盤失諧模態分析的攝動降階方法(PDF)

      《西安交通大學學報》[ISSN:0253-987X/CN:61-1069/T]

      卷:
      53
      期數:
      2019年第09期
      頁碼:
      42-48
      欄目:
      出版日期:
      2019-09-10

      文章信息/Info

      Title:
      A Perturbed Order-Reduction Method for Modal Analysis of 3-D Blade Disk with Mistuning
      作者:
      周子宣12 徐自力12
      1.西安交通大學機械結構強度與振動國家重點實驗室, 710049, 西安; 2.西安交通大學航天航空學院, 710049, 西安
      Author(s):
      ZHOU Zixuan XU Zili
      1.State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, China; 2.School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049, China
      關鍵詞:
      失諧葉盤 模態分析 攝動降階
      Keywords:
      mistuned blade disk modal analysis perturbation order-reduction
      分類號:
      TK05
      DOI:
      10.7652/xjtuxb201909006
      摘要:
      針對失諧葉盤結構振動局部化引起的葉盤高周疲勞會對葉片安全性產生不利影響,真實葉盤結構的細節較多、網格劃分后的節點數目龐大、模態計算的效率較低等問題,提出了一種攝動降階方法。將葉盤剛度陣和質量陣分為諧調部分與失諧部分,利用固定界面模態綜合法中的坐標降階轉換關系,將已知的原始結構中的失諧部分轉換為降階結構中對應的改變量。通過攝動方法,循環利用諧調模態信息,將失諧葉盤模態的求解轉化為失諧矩陣與諧調矩陣的乘積形式,快速計算對應失諧分布下的葉盤固有頻率與振型。對Rotor#67壓氣機葉盤進行計算,結果表明:相對于完整求解方法,攝動降階算法的頻率計算誤差低于0.3%,模態位移計算誤差小于0.25%; 攝動降階法的模態計算時間最高為常規降階法的30%,說明在滿足工程計算精度的要求下,所提方法能大幅提高失諧葉盤模態的計算效率。
      Abstract:
      The high-cycle fatigue of mistuned blade disks caused by vibration localization has adverse effects on safety of the blades.A real blisk structure contains many details, so if FEM is used, the number of nodes in the mesh is so large that the modal computation efficiency is low.In order to solve this problem, a perturbed order-reduction method is proposed in this paper.Firstly, the blade disk's stiffness and mass matrixes are divided into two components: the tuned component and the mistuned component.Then, the mistuned component of the original structure is transformed into the corresponding change in the order-reduced structure by using coordinate order-reduction transformation relationship in the fixed interface modal synthesis method.The coordinated modal information is repeatedly used by the perturbation method.The solution of mistuned blade disk modal is transformed into the product of tuning matrix and mistuning matrix, and the natural frequencies and modals of blade disk under mistuned distribution are calculated efficiently.A Rotor 67 compressor blade disk is taken as the calculating example, and the computation results show that the frequency calculation error of the perturbed order-reduction method is less than 0.3% and the modal displacement calculation error is less than 0.25%.The modal calculation time of the perturbed order-reduction method is 30% that of the conventional order-reduction method.It is concluded that this method can greatly improve the efficiency of modal calculation of mistuned blade disk under the requirement of engineering calculation accuracy.

      參考文獻/References:

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      備注/Memo

      備注/Memo:
      收稿日期: 2019-03-21。作者簡介: 周子宣(1993—),男,碩士生; 徐自力(通信作者),男,教授,博士生導師;痦椖: 國家自然科學基金資助項目(51675406)。
      更新日期/Last Update: 2019-09-04
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