31 May 1996 Load transmissibility control by virtual substructures
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A general and systematic approach to control the longitudinal load transmissibility in a rod by coupling generalized substructures is presented. This approach illustrates a general concept of `substructure' by formulating the active controllers as virtual substructures coupled to the main structure. The dynamics and load transmissibility of a rod is modeled in modal state space form. The three control algorithms such as IMSC, ELVC and GSLQ are formulated as three different substructures also in state space form so that an explicit substructure dynamics can be realized. The performance of the different algorithms is based on the reaction force at the fixed end due to a disturbance force at the other (free) end. A performance measure is defined as the reaction force ratio of the closed-loop (coupled with the substructure) to the open-loop (without the substructure). The performance as a function of frequency of all three virtual substructures is presented. This general approach has provided a way to appreciate the effect of any substructure (either a controller or an attached structure) on the main structure. And it has important implication for designing substructures for the desired response of the total structure.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
J. Hannsen Su, J. Hannsen Su, } "Load transmissibility control by virtual substructures", Proc. SPIE 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures, (31 May 1996); doi: 10.1117/12.240828; https://doi.org/10.1117/12.240828

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