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Prediction of the effects on dynamic response due to distributed structural modification with additional degrees of freedom

机译:预测具有附加自由度的分布式结构修改对动态响应的影响

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The aim of this study is to investigate means of efficiently assessing the effects of distributed structural modification on the dynamic properties of a complex structure. The dynamic properties of the modified structure can be determined by experimental testing or numerical simulation, both of which are complex, expensive and time-consuming. Assuming that the original dynamic characteristics are already established and that the modification is a relatively simple attachment, the modified dynamic properties may be determined numerically without solving the equations of motion of the full-modified structure. The frequency response functions (FRFs) of the modified structure can be computed by coupling the original FRFs and a delta dynamic stiffness matrix for the modification introduced. The validity of this approach is investigated by applying it to a cantilever beam to which a smaller beam is attached as modification. The original FRFs were obtained experimentally as well as numerically. The delta dynamic stiffness matrix was determined numerically by modeling the attachment and part of the original structure including the attachment points. The FRFs of the modified beam were then computed. Good agreement is obtained by comparing the results to the FRFs of the modified beam determined experimentally as well as by numerical modeling of the complete modified structure.
机译:这项研究的目的是研究有效评估分布式结构修改对复杂结构的动力学特性的影响的方法。可以通过实验测试或数值模拟来确定改性结构的动力学性质,这两者都是复杂,昂贵且费时的。假设已经建立了原始的动态特性,并且修改是相对简单的附件,则可以在不求解完全修改的结构的运动方程的情况下以数字方式确定修改的动态属性。可以通过耦合原始FRF和引入的修改的增量动态刚度矩阵来计算修改后结构的频率响应函数(FRF)。通过将这种方法应用于悬臂梁(该悬臂梁上附加了一个较小的梁作为修改)来研究这种方法的有效性。原始FRF通过实验和数值获得。通过对附件和原始结构的一部分(包括附件点)进行建模,可以确定数值动态刚度矩阵。然后计算修改光束的FRF。通过将结果与实验确定的改性梁的FRF进行比较,以及通过对整个改性结构进行数值建模,可以获得良好的一致性。

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