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A Dynamic Reanalysis Technique for Modifications of Structural Components

机译：一种动态再分析技术，用于修改结构部件

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摘要

A procedure for the reanalysis of the dynamic response of linear systems subjected to deterministic loads is presented. The procedure allows to evaluate the dynamic response of the modified structural system avoiding both the solution of the new eigenproblem and the evaluation of the associated transition matrix related to the new structure. The method is able to solve also the case in which topological modifications are introduced. In this case, known the eigenproperties of the original structure, the equation of motion of the modified system are written in a reduced space by means of the Ritz vectors. Lastly an unconditionally stable step-by-step procedure based on the dynamic modification method is applied to find the dynamic response of the new structure. The proposed method is computationally very effective since it does not require any eigensolution and leads to very accurate results as shown in the numerical applications.
机译：介绍了经过确定性载荷的线性系统的动态响应的再分析的过程。该过程允许评估修改的结构系统的动态响应，避免了新的特征和与新结构相关的相关转换矩阵的解决方案。该方法还能够解决拓扑修改的情况。在这种情况下，已知原始结构的特征优先级，通过RITZ向量将改进系统的运动的方程用减小的空间写入。最后，基于动态修改方法的无条件稳定的逐步步骤应用于找到新结构的动态响应。该方法的计算方式非常有效，因为它不需要任何EIGensol，并且导致如数值应用中所示的非常精确的结果。

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