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周期对称性在叶盘结构瞬态响应求解中的应用
引用本文:姚建尧,王建军.周期对称性在叶盘结构瞬态响应求解中的应用[J].航空动力学报,2011,26(2):385-391.
作者姓名:姚建尧  王建军
作者单位:北京航空航天大学,能源与动力工程学院,北京,100191
基金项目:国家高技术研究发展计划
摘    要:研究了利用结构周期对称性计算叶盘结构瞬态响应的方法.首先用ANSYS得到扩充扇区的刚度和质量矩阵,通过周期对称边界上节点的对应关系得到扩充扇区到基本扇区的转换矩阵.利用叶盘结构中各扇区所受载荷的特点,得到任意时刻载荷的空间分布,并对其进行Fourier展开,以得到周期对称模型的载荷.采用Newmark法进行时域积分,利...

关 键 词:叶盘结构  周期对称  瞬态响应  Fourier变换  Newmark方法
收稿时间:2009/12/23 0:00:00
修稿时间:2010/7/21 0:00:00

Application of cyclic symmetry property in transient forced vibration of bladed disks
YAO Jian-yao and WANG Jian-jun.Application of cyclic symmetry property in transient forced vibration of bladed disks[J].Journal of Aerospace Power,2011,26(2):385-391.
Authors:YAO Jian-yao and WANG Jian-jun
Institution:School of Jet Propulsion, Beijing University of Aeronautics and Astronautics,Beijing 100191,China;School of Jet Propulsion, Beijing University of Aeronautics and Astronautics,Beijing 100191,China
Abstract:A method for transient response calculation of bladed disks was presented using the cyclic symmetry property of the structure.The stiffness and mass matrices of expanded sector were generated by ANSYS.The transformation matrix from expanded sector to basic sector was obtained using the corresponding nodes on sector boundaries.The load vector for the cyclic symmetric model was obtained from the spatial Fourier transformation of the forces on every sector.The transient responses were calculated using Newmark method,and multi-frontal method was selected as the direct equation solver.A bladed disk with 12 sectors was applied as the numerical example,indicating that the proposed method is effective for transient analysis of bladed disks.
Keywords:bladed disks  cyclic symmetry  transient response  Fourier transformation  Newmark method
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