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An iterative algebraic dynamic condensation method and its performance

机译:迭代代数动态凝聚法及其性能

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摘要

A novel iterative reduced-order modeling method is proposed, which is based on the recently developed algebraic dynamic condensation method. The algebraic substructuring technique is employed to improve the reduction efficiency, and the initial reduced model is calculated using the substructural stiffness condensation and the interface boundary reduction procedures. Then, the initial reduced model is iteratively updated using the iterative substructural inertial effect condensation procedure until the solutions converge. The iterative formulation of the reduced model is represented simply with small submatrix operations to avoid huge computational cost induced by the iterative procedure resulting from the very large global transformation matrix. To verify the performance of the proposed method, we consider several large structural problems, and compare the numerical results to those of the iterated improved reduced system (IIRS) method, a widely used reduced-order modeling method. (C) 2016 Elsevier Ltd. All rights reserved.
机译:提出了一种新的迭代降阶建模方法,该方法基于最近开发的代数动态凝聚方法。采用代数子结构技术来提高约简效率,并利用子结构刚度凝聚和界面边界约简程序来计算初始约简模型。然后,使用迭代子结构惯性效应凝聚过程迭代更新初始简化模型,直到解收敛为止。简化模型的迭代公式仅用较小的子矩阵运算表示,从而避免了由于非常大的全局转换矩阵导致的迭代过程而导致的巨大计算成本。为了验证该方法的性能,我们考虑了几个大的结构问题,并将数值结果与广泛使用的降阶建模方法迭代改进的简化系统(IIRS)方法进行了比较。 (C)2016 Elsevier Ltd.保留所有权利。

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