ABSTRACT An important and difficult aspect for the finite element model updating problem is to make the updated model have physical meaning, that is, the connectivity of the original model should be preserved in the updated model. In many practical applications, the system matrices generated by discretization of a distributed parameter system with the finite element techniques are often very large and sparse and are of some special structures, such as symmetric and band structure (diagonal, tridiagonal, pentadiagonal, seven-diagonal, etc.). In this paper, the model updating problem for undamped gyroscopic systems with connectivity constraints is considered. The method proposed not only preserves the connectivity of the original model, but also can update the analytical matrices with different bandwidths, which can meet the needs of different structural dynamic model updating problems. Numerical results illustrate the efficiency of the proposed method.

中文翻译：

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具有连通性约束的无阻尼陀螺系统模型更新

摘要 有限元模型更新问题的一个重要和难点是使更新后的模型具有物理意义，即在更新后的模型中应保持原模型的连通性。在许多实际应用中，利用有限元技术对分布参数系统进行离散化所生成的系统矩阵往往很大很稀疏，并且具有一些特殊的结构，如对称和带状结构（对角线、三对角线、五对角线、七对角线）。 ， 等等。）。本文考虑了具有连通性约束的无阻尼陀螺系统的模型更新问题。所提出的方法不仅保留了原始模型的连通性，而且可以更新不同带宽的解析矩阵，可以满足不同结构动力模型更新问题的需要。数值结果说明了所提出方法的有效性。