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A Dynamic Reanalysis Technique for Modifications of Structural Components

机译：一种用于结构构件修改的动态再分析技术

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摘要

A procedure for the reanalysis of the dynamic response of linear systems subjectedrnto deterministic loads is presented. The procedure allows to evaluate the dynamicrnresponse of the modified structural system avoiding both the solution of the newrneigenproblem and the evaluation of the associated transition matrix related to thernnew structure. The method is able to solve also the case in which topologicalrnmodifications are introduced. In this case, known the eigenproperties of the originalrnstructure, the equation of motion of the modified system are written in a reducedrnspace by means of the Ritz vectors. Lastly an unconditionally stable step-by-steprnprocedure based on the dynamic modification method is applied to find the dynamicrnresponse of the new structure. The proposed method is computationally veryrneffective since it does not require any eigensolution and leads to very accuraternresults as shown in the numerical applications.
机译：提出了确定性载荷作用下线性系统动力响应再分析的程序。该程序允许评估修改后的结构系统的动力响应，从而既避免了新问题的解决，又避免了与新结构有关的关联转换矩阵的评估。该方法还能够解决引入拓扑修改的情况。在这种情况下，已知原始结构的本征特性，通过Ritz矢量将修改后的系统的运动方程写在一个缩小的空间中。最后，采用基于动态修改方法的无条件稳定的逐步过程来寻找新结构的动力响应。所提出的方法在计算上非常有效，因为它不需要任何本征解，并且导致非常精确的结果，如数值应用中所示。

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