An analytical and closed-form vibration transmissibility of a general unidirectional multi-degree-of-freedom system with multiple dynamic absorbers is studied in this paper. The dynamics of the primary system and the dynamic absorbers are described as a two-way state-#ow graph model. To reduce the a
MULTIPLE DELAYED RESONATOR VIBRATION ABSORBERS FOR MULTI-DEGREE-OF-FREEDOM MECHANICAL STRUCTURES
✍ Scribed by N. Jalili; N. Olgac
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 410 KB
- Volume
- 223
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
This study is on the use of multiple Delayed Resonators (DR) in suppressing tonal vibration of multi-degree-of-freedom mechanical structures. The DR is a recently introduced, actively tunable vibration absorber which converts a conventional passive absorber into a marginally stable resonator. This structure absorbs all the vibratory energy at its point of attachment. Control forces in the form of proportional acceleration feedback with variable gains and time delays are considered here. Attractive features of DR have already been demonstrated for single DR absorber cases. When excitation has multiple harmonics, multiple DRs can be used, each DR suppressing one of the harmonics. The stability assessment, however, becomes very complex in this case, due to the presence of unrelated time delays in the system. Therefore, a simpler situation is considered here; single harmonic excitation and multiple identical DRs acting on the system. A strategy called ``Stability charts'' is used not only to resolve the stability question but also to ®nd out the tuning speed of the absorption. An example case of two identical DRs on a 3-DOF system is presented. The results demonstrate the feasibility of using multiple DR absorbers.
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