直接迁移子结构法及在叠积电抗器抗震分析中的应用
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摘要
针对工程中常见的链式结构的特点,将频响函数和迁移矩阵引入动态子结构方法中,提出了简单高效的直接迁移子结构方法.该方法用子结构的部分特征对来直接计算子结构的频响函数矩阵,从而组成各子结构的迁移矩阵.运用综合求解,可得到整体结构的特征对与谐和激励响应,不仅可大大提高计算效率,而且使主模态的求解变得简明.用此方法计算了三相叠积电抗器的固有频率,根据虚拟激励法把随机载荷转化为虚拟谐和激励,并计算了该结构的随机地震响应.计算结果表明,用直接迁移子结构法求解三相叠积电抗器的固有频率可以节省5/6的计算时间,计算随机地震响应则至少可以缩短1/3的计算时间,从而证明了直接迁移子结构法的有效性和在工程中的实用性.
A new direct transfer substructure method, combining frequency response function (FRF) and the transfer matrix algorithm with the dynamic substructure method, is presented for dynamic analysis of the common chain structure. The principle of the present method is to divide a chain structure into a series of substructures, then construct every corresponding transfer matrix using FRF obtained from partial eigensolution of corresponding substructure directly, and at last the entire structure is reconstructed by integrating these transfer matrices of substructures. Using this method, the dynamic characteristics and harmonic responses of a chain structure may be calculated effectively, the implementation of which is extremely simple. Thus, the dynamic characteristics of a series reactor are computed efficiently using this method. And then the direct transfer substructure method is applied to computing seismic random responses of the series reactor according to the pseudo excitation algorithm, with which the seismic random excitations can be transformed into certain harmonic excitations. The solutions indicate that the cost for calculating the structural eigenvalue is reduced by 5/6 and the computation effort of structural seismic random response analysis is reduced by at least 1/3, even 4/5. The numerical results show that the suggested method is efficient and practicable in engineering.
A new direct transfer substructure method, combining frequency response function (FRF) and the transfer matrix algorithm with the dynamic substructure method, is presented for dynamic analysis of the common chain structure. The principle of the present method is to divide a chain structure into a series of substructures, then construct every corresponding transfer matrix using FRF obtained from partial eigensolution of corresponding substructure directly, and at last the entire structure is reconstructed by integrating these transfer matrices of substructures. Using this method, the dynamic characteristics and harmonic responses of a chain structure may be calculated effectively, the implementation of which is extremely simple. Thus, the dynamic characteristics of a series reactor are computed efficiently using this method. And then the direct transfer substructure method is applied to computing seismic random responses of the series reactor according to the pseudo excitation algorithm, with which the seismic random excitations can be transformed into certain harmonic excitations. The solutions indicate that the cost for calculating the structural eigenvalue is reduced by 5/6 and the computation effort of structural seismic random response analysis is reduced by at least 1/3, even 4/5. The numerical results show that the suggested method is efficient and practicable in engineering.
引文
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[3] 王文亮,杜作润.结构振动与动态子结构方法[M].上海:复旦大学出版社,1985.
[4] 林家浩.随机地震响应的确定性算法[J].地震工程与工程振动,1985,5(1):89-94.
[5] LinJH,ZhangWS,LiJJ.Structuralresponsetoarbitrarilycoherentstationaryrandomexcitations[J].ComputersandStructures,1994,50(5):629-634.
[6] 靳玉佳.新型干式空芯电抗器动力特性与地震响应被动控制研究[D].西安:西安交通大学建筑工程与力学学院,2000.
[7] 白长青,许庆余.改进的直接部件模态综合法[J].应用力学学报,2002,19(3):81-84.
[8] 欧进萍,王光远.结构随机振动[M].北京:高等教育出版社 , 1 990 .
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