VIBRATION TRANSMISSIBILITY OF A UNIDIRECTIONAL MULTI-DEGREE-OF-FREEDOM SYSTEM WITH MULTIPLE DYNAMIC ABSORBERS

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-flow graph model. To reduce the analysis work and simplify the representation of the derived results for analysis, the entire graph model is divided into two parts, the primary system and the dynamic absorbers. Based on the graph model, the analytical and closed-form expressions of the force and displacement transmissibility are derived using the topology scheme. According to the developed results, the vibration transmissibility for a uniform primary system can be represented as polynomial forms. Moreover, the vibration transmissibility of a uniform MDOF primary system with multiple non-identical absorbers, with multiple identical absorbers, and with a single absorber, are calculated and compared with those presented in other papers. Finally, two numerical examples are investigated to show the implementation of this method.