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AN IMPROVED NUMERICAL PROCEDURE FOR THE COUPLING OF DYNAMIC COMPONENTS USING FREQUENCY RESPONSE FUNCTIONS

机译:使用频率响应函数的动态分量耦合的改进数值

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Many dynamic systems of interest consist of coupled low and high modal density components. In these systems it is desirable to perform system simulation using component models characterized by a measured dynamic compliance matrix for the high modal density component and an analytical model for the low modal density one. Such a model requires inversion of the compliance matrix to obtain dynamic stiffness matrix for system assembly. This modeling approach has not been widely successful in the past due to measurement error magnification in the compliance matrix inversion. Further difficulties may be caused by compliance matrix rank deficiency and numerical error associated with extensive matrix algebraic manipulation. In this paper, a coupling procedure based on the singular value decomposition (SVD) theorem and the constrained mode component model is proposed which avoids these problems. The rigorous SVD routine performs a pseudo-inverse which also filters measurement noise and rank deficiency in the compliance matrix. The use of a constrained mode finite element model (FEM) eases parametric studies and leads to a simpler formulation. This procedure also allows for better representation of different component damping levels in the system simulation.
机译:许多动态感兴趣的系统由耦合的低和高模态密度组分组成。在这些系统中,期望使用由测量的动态符合矩阵的组件模型来执行系统仿真,用于高模态密度分量和低模态密度1的分析模型。这种模型需要顺应矩阵的反转以获得系统组件的动态刚度矩阵。由于顺应性矩阵反转中的测量误差放大率,过去,这种建模方法在过去尚未得到广泛成功。进一步的困难可能是由合规性矩阵缺陷和与广泛的矩阵代数操纵相关的数值误差引起的。在本文中,提出了一种基于奇异值分解(SVD)定理和约束模式分量模型的耦合过程,避免了这些问题。严谨的SVD例程执行伪逆,也滤除了合规矩阵中的测量噪声和排名缺陷。使用约束模式有限元模型(FEM)可以简化参数研究并导致更简单的配方。该过程还允许更好地表示系统仿真中不同的分量阻尼水平。

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