Tuned Liquid Column for Dampering Rotational Motion of a Nonlinear Horizontal Deck

Purpose and Background This paper aims to show how we can reduce rotational motions of a rigid mechanical structure subjected to a harmonic excitation using a tuned liquid column damper (TLCD). The studied mechanical structure here is a nonlinear horizontal deck regularly found in on/offshore. In civil and mechanical engineering, structures could be subjected to various types of external excitations leading to undesirable high amplitude of vibration. Methods This paper presents the modeling of a nonlinear horizontal deck with a TLCD and how it can be arranged to mitigate the vibrations. The Routh–Hurwitz criterion is used to derive the stability condition of the controlled system. Results The stability domain is displayed in the function of coupling parameters between the structure and the TLCD. Conclusion Some physical parameters of the TLCD such as the head loss coefficient δ , the horizontal length L h and the crosssection ratio ν are optimized in order to the reduce considerably vibration amplitude of the mechanical structure.