Applicability of existing indexes of non-proportionality of damping in case of theoretical model of slender structure with installed TMD

Abstract eng:
The paper analyzes an applicability of to date published indexes of non-proportionality in the case of a linear viscously damped numerical model of slender structure equipped with tuned mass damper (TMD). The installation of TMD into the structure not only reduces the level of undesired vibration, but it can also cause due to damping element of TMD a significant increase of damping nonproportionality. The paper recommends the most suitable indexes for such a type of structure and points out to impropriety of the others. The point of view of is also focus on the validity of the existing criterions for neglecting of non-diagonal terms of a modal damping matrix. Only indexes and criterions based on the properties of the modal damping matrix were taking into account. The verifications of validity and recommendations for usage of particular indexes and criterions were performed using analysis of the dynamic response of an existing structure on harmonic excitation with and without neglecting of nondiagonal terms of modal damping matrix. The applicability was also checked using analysis of particular complex eigen-modes.

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