Closed-form optimal calibration of a tuned liquid column damper (TLCD) for flexible structures

The conventional optimal calibration of a TLCD for suppressing structural vibration is based on the classic 2-degrees-of-freedom (2-DOF) model in terms one specific mode (usually resonant mode). For flexible multi-degrees-of-freedom (MDOF) structures, this implies that background flexibility contribution from other non-resonant modes omitted, resulting an unbalance frequency response structure-TLCD coupled system. Furthermore, numerical search techniques are usually used optimizing TLCDs, and extensive computational efforts required. Therefore, paper novel closed-form procedure accounting structure developed pole-placement method. represented by equivalent stiffness derived modal analysis. An analogue 2-DOF developed, which turns out to be generalization model. root locus analysis performed derive ratio equal damping criterion. A straightforward approach determining head loss coefficient proposed bifurcation point present locus. It seen formulas parameters depend not only constructive (such as mass horizontal length TLCD) but also inherent characteristics. Application MDOF structures illustrated 10-story shear frame. Results demonstrates leads balanced curve thus improves performance comparing with ignoring flexibility.