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research-article

Vibration Control of 2DOF Structures Utilizing Sloshing in Nearly Square Tanks

[+] Author and Article Information
Takashi Ikeda

Department of Mechanical Systems Engineering, Hiroshima University 1-4-1, Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8527 Japan
tikeda@hiroshima-u.ac.jp

Yuji Harata

Department of Mechanical Systems Engineering, Hiroshima University
harata@hiroshima-u.ac.jp

Shota Ninomiya

KYOCERA Connector Products Corporation 402-1, Nakayama-cho, Midori-ku, Yokohama 226-8512 Japan
sninomiya3@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4036481 History: Received August 03, 2016; Revised March 12, 2017

Abstract

This paper investigates the vibration control of a tower-like structure with two degrees of freedom utilizing a square or nearly square tuned liquid damper (TLD) when the structure is subjected to horizontal, harmonic excitation. In the theoretical analysis, when the two natural frequencies of the two-degree-of-freedom (2DOF) structure nearly equal those of the two predominant sloshing modes, the tuning condition, 1:1:1:1, is nearly satisfied. Galerkin's method is used to derive the modal equations of motion for sloshing. The nonlinearity of the hydrodynamic force due to sloshing is considered in the equations of motion for the 2DOF structure. Linear viscous damping terms are incorporated into the modal equations to consider the damping effect of sloshing. Van der Pol's method is employed to determine the expressions for the frequency response curves. The influences of the excitation frequency, the tank installation angle, and the aspect ratio of the tank cross-section on the response curves are examined. The theoretical results show that whirling motions and amplitude modulated motions (AMMs), including chaotic motions, may occur in the structure because swirl motions and Hopf bifurcations, followed by AMMs, appear in the tank. It is also found that a square TLD works more effectively than a conventional rectangular TLD, and its performance is further improved when the tank width is slightly increased and the installation angle is equal to zero. Experiments were conducted in order to confirm the validity of the theoretical results.

Copyright (c) 2017 by ASME
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