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周期对称性在失谐叶盘瞬态响应求解中的应用

姚建尧,  辛健强,  王建军

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文章导航 > 航空动力学报  > 2016 >  31(9): 2188-2194
姚建尧, 辛健强, 王建军. 周期对称性在失谐叶盘瞬态响应求解中的应用[J]. 航空动力学报, 2016, 31(9): 2188-2194. doi: 10.13224/j.cnki.jasp.2016.09.018
引用本文: 姚建尧, 辛健强, 王建军. 周期对称性在失谐叶盘瞬态响应求解中的应用[J]. 航空动力学报, 2016, 31(9): 2188-2194. doi: 10.13224/j.cnki.jasp.2016.09.018
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YAO Jian-yao, XIN Jian-qiang, WANG Jian-jun. Application of cyclic symmetry property in transient response solution of mistuned bladed disks[J]. Journal of Aerospace Power, 2016, 31(9): 2188-2194. doi: 10.13224/j.cnki.jasp.2016.09.018
Citation: YAO Jian-yao, XIN Jian-qiang, WANG Jian-jun. Application of cyclic symmetry property in transient response solution of mistuned bladed disks[J]. Journal of Aerospace Power, 2016, 31(9): 2188-2194. doi: 10.13224/j.cnki.jasp.2016.09.018
shu

周期对称性在失谐叶盘瞬态响应求解中的应用

doi: 10.13224/j.cnki.jasp.2016.09.018

  • 1. 重庆大学 航空航天学院, 重庆 400044;

  • 2. 中国航天科技集团公司 中国运载火箭技术研究院 研究发展中心, 北京 100076;

  • 3. 北京航空航天大学 能源与动力工程学院, 北京 100191

基金项目: 

国家自然科学基金（11502037）

详细信息
    作者简介:

    姚建尧(1981-),男,河北衡水人,研究员、博士生导师,博士,主要从事航空发动机结构强度振动和流固耦合的研究.yaojianyao@cqu.edu.cn

  • 中图分类号: V231.92

Application of cyclic symmetry property in transient response solution of mistuned bladed disks

  • 1. College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;

  • 2. Research and Development Center, China Academy of Launch Vehicle Technology, China Aerospace Science and Technology Corporation, Beijing 100076, China;

  • 3. School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

    摘要
  • 摘要: 提出了利用周期对称性仅使用一个扇区进行失谐叶盘瞬态响应分析的方法，给出了其理论和算法实现过程。该算法的核心思想是将失谐部分移至运动方程的右端作为非线性激励，将失谐问题转化为谐调非线性问题，并采用迭代法或预测位形法进行非线性响应的求解，以单自由度（DOF）系统验证时域推进方法的有效性。最后使用简化失谐叶盘的有限元模型验证了该方法的有效性。结果表明：采用扇区模型可将自由度数从3888减少至324，而每一时间步仅需2~3次迭代即可收敛，扇区模型与整体模型计算结果吻合良好，最大幅值误差为0.14%

     

    Abstract: Theory and algorithm for using cyclic symmetry property to calculate transient response of mistuned bladed disk was presented. The mistuning parts were moved to the right-hand side of the equations of motion, and were treated as the nonlinear excitation force of the corresponding tuned bladed disk. Therefore, the mistuned problem was transformed to a nonlinear tuned one, and could be solved using only one sector of the bladed disk. The iterative and prediction-correction time-marching schemes were proposed to handle the nonlinear mistuning force, and were validated using a single degree of freedom(DOF) model. A simplified mistuned bladed disk finite element model was used as the numerical example to validate the effectiveness of the proposed method. Result shows that,the number of DOF is reduced from 3888 to 324 by using the cyclic model, and it only takes 2-3 iterations to obtain the converged solution for each time step. The response results obtained using full model and cyclic model agree very well with the maximum amplitude error of 0.14%.

     

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出版历程
  • 收稿日期:  2014-12-15
  • 刊出日期:  2016-09-28

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