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Control performance of suspended mass pendulum with the consideration of out‐of‐plane vibrations
Author(s) -
Huang Chen,
Huo LinSheng,
Gao HuaGuo,
Li HongNan
Publication year - 2018
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.2217
Subject(s) - pendulum , vibration , horizontal plane , rotation (mathematics) , swing , double pendulum , planar , inverted pendulum , plane (geometry) , vertical plane , displacement (psychology) , control theory (sociology) , vibration control , stiffness , physics , structural engineering , engineering , mathematics , geometry , acoustics , computer science , nonlinear system , control (management) , quantum mechanics , artificial intelligence , psychology , computer graphics (images) , psychotherapist
Summary The analysis model of a suspended mass pendulum (SMP) control system is usually simplified as a planar model, which only considers the swing angle in‐plane. However, out‐of‐plane vibrations of a pendulum are inevitable and are significantly more complex than that assumed in the planar model. To overcome the limitations of the current planar model, this study proposes a spatial model of the pendulum. The kinetic equations of the spatial SMP model coupled with a single degree of freedom structure are established considering the swing angle of the SMP in‐plane and out‐of‐plane. The vibration characteristics of the pendulum and their influence on the dynamic response of the structure are numerically analyzed. Compared with the numerical results of the planar model, the vibrations of a pendulum are more accurately simulated by the spatial model, even when the rotation angle of pendulum out‐of‐plane is greater than 20°. A parameter study is performed considering the influencing parameters of the control system, including the excitation periods, pendulum length, mass ratio, and amplitudes of the horizontal rotation angle at the maximum displacement of the structure. The results show that the horizontal rotation angle of the pendulum negatively affects the vibration suppression of the structure. Furthermore, to verify the vibration control effectiveness of the spatial SMP model, a transmission tower was controlled under eight types of seismic excitations. The results reveal that the SMP has a clear mitigation effect on the seismic response of the tower.