Analytical Solution of the Closed-Form Equations Governing the Hybrid Performance of a Tuned Liquid Column Gas Damper Equipped With a Variable Orifice

Document Type : Regular Paper

Authors

Department of Civil Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran

Abstract

Structural vibrations are one of the main concerns of engineering in recent decades. The tendency towards a flexible structure such as tall structures or structures with long spans has caused in more intense movements of the structure under service loading. Limiting acceleration in tall and slender buildings, as well as controlling vibrations, is a complex design issue. In this research, the new hybrid damper; "tuned liquid column gas damper equipped with variable orifice (H-O-TLCGD)" is introduced. The dominant mechanism for confronting with vibration in this damper is based on liquid movement, and the vibration energy is dissipated by the effects of fluid turbulence and friction caused by the local pressure drop of the orifice opening. In order to achieve the actual performance behavior of the system, the equations governing the dynamic response of the structure equipped with this damper are obtained along with damping modification and removation of some uncertainties, which cause non-linear equations. Also, in this research, according to the advantages of low energy demand, permanent stability of the system and economic efficiency of using semi-active control systems, the combination of semi-active and passive dampers and the increase of stiffness in the systems equipped with them by gas springs, with the aim of improving the performance of system are considered so that the performance level of structures equipped with this new control system improve at an acceptable level. This research presents the differential equations governing the axial performance of the liquid column damper, accounting for energy dissipation due to changes in flow cross-section and gas spring stiffness, and demonstrates how to combine these effects using hydrodynamics and structural control principles. Also, the closed-form analytical solution of these nonlinear equations is presented so that researchers can achieve their research goals in a shorter time. To facilitate practical applications, this research provides a methodology for designing systems equipped with this damper and optimizing its performance using semi-active control effects, which will be useful for researchers and construction engineers.

Graphical Abstract

Analytical Solution of the Closed-Form Equations Governing the Hybrid Performance of a Tuned Liquid Column Gas Damper Equipped With a Variable Orifice

Highlights

  • In this research, the new hybrid damper; " tuned liquid column gas damper equipped with variable orifice (H-O-TLCGD)" is introduced.
  • By using the sciences of hydrodynamics and structure control and dynamics and energy methods, the non-linear differential equations governing the dynamic behavior of the structure equipped with this damper, by separating and combining the performance of the U-shaped liquid column, the variable orifice and the gas spring, are obtained.
  • The analytical solution of the closed-form of the mentioned equations is presented in order to better understand the real behavior of the system.
  • The sensitivity analysis for the parameters affecting the performance and behavior of the system and the methodology along with the optimization of the design of the systems equipped with this damper, considering the semi-active control effects of the variable orifice, are presented.

Keywords

Main Subjects

References

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History

  • Receive Date: 05 June 2024
  • Revise Date: 29 September 2024
  • Accept Date: 11 November 2024

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