Auto-parametric semi-trivial and post-critical response of a spherical pendulum damper

Náprstek, Jiřı́; Fischer, Cyril

doi:10.1016/j.compstruc.2008.11.015

Cited by 39 publications

(18 citation statements)

References 20 publications

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“…Some ideas and selected results can be found also in papers by authors of this study, e.g. [12,13]. Basic definitions and results on a level of the rational mechanics can be found in [14], extension onto the stochastic approach, see e.g.…”

Section: Introductionmentioning

confidence: 98%

Dynamic stability of a vertically excited non-linear continuous system

Náprstek

Fischer

2015

Computers & Structures

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Section: Introductionmentioning

confidence: 98%

Dynamic stability of a vertically excited non-linear continuous system

Náprstek

Fischer

2015

Computers & Structures

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“…Such a system with a constant pendulum length is described by two differential equations in 3D space. There are a number of papers devoted to the dynamics of a spherical pendulum [7][8][9][10]. In these papers the authors were concerned with stability boundaries of the system response due to deterministic excitation.…”

Section: Introductionmentioning

confidence: 99%

Stability, control and reliability of a ship crane payload motion

Yurchenko

Alevras

2014

Probabilistic Engineering Mechanics

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“…The dynamic behavior of a pendulum is significantly more complex than is assumed in the widely used simple linear SDOF model working only in the plane. Naprstek et al modeled the pendulum vibration damper as a system with two degrees of freedom in‐plane and out‐of‐plane and derived a semi‐trivial solution of the kinetic equations of the pendulum. Maya et al studied the apsidal precession of a physical symmetrical pendulum as a generalized precession corresponding to the ideal spherical pendulum.…”

Section: Introductionmentioning

confidence: 99%

Control performance of suspended mass pendulum with the consideration of out-of-plane vibrations

Huang

Huo

et al. 2018

Struct Control Health Monit

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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.

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Auto-parametric semi-trivial and post-critical response of a spherical pendulum damper

Cited by 39 publications

References 20 publications

Dynamic stability of a vertically excited non-linear continuous system

Dynamic stability of a vertically excited non-linear continuous system

Stability, control and reliability of a ship crane payload motion

Control performance of suspended mass pendulum with the consideration of out-of-plane vibrations

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