Numerical analysis of the dynamics of rigid blocks subjected to support excitation

The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions

Shock and Vibration ◽

10.1155/2021/6937794 ◽

2021 ◽

Vol 2021 ◽

pp. 1-19

Author(s):

Kefan Chen ◽

Shuanhai He ◽

Yifan Song ◽

Linming Wu ◽

Kang Wang ◽

...

Keyword(s):

Numerical Analysis ◽

Parametric Resonance ◽

Resonance Condition ◽

Simulation Methods ◽

Refined Model ◽

Resonance Amplitude ◽

Comparison Results ◽

The Difference ◽

Support Excitation ◽

Cable Stayed Bridges

The investigation aims to propose a refined model to analyze the parametric resonance under multicable systems such as cable-stayed bridges. Considering the interaction between the adjacent beam portions, the shear difference is applied to modify the vibration equations derived from the multi-degree-of-freedom stiffness method. Furthermore, the difference method is adopted to make the equations more accessible for numerical analysis. The comparison results indicate that the refined model exhibits the key character of parametric resonance and also further verified the simulation methods. The consequences show that the cable will resonate at the fundamental frequency under the support excitation. In particular, when resonance occurs, most of the energy in the subsystem is transferred to the cable, resulting in the resonance amplitude of the beam portion being weakened to some certain extent. Moreover, the global resonance will have a sufficient excitation on the local resonance only when the resonance condition is satisfied.

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Some Comments on the Nonlinear Dynamics of a Portal Frame under Base Excitation

Shock and Vibration ◽

10.1155/2013/839756 ◽

2013 ◽

Vol 20 (6) ◽

pp. 1093-1101 ◽

Cited By ~ 2

Author(s):

Aline Souza de Paula ◽

José Manoel Balthazar ◽

Jorge Luis Palacios Felix

Keyword(s):

Nonlinear Dynamics ◽

Numerical Analysis ◽

Nonlinear Dynamic ◽

Nonlinear Dynamic Analysis ◽

Complex Behavior ◽

Base Excitation ◽

Bifurcation Diagrams ◽

Dynamic Interactions ◽

Portal Frame ◽

Support Excitation

This paper presents a nonlinear dynamic analysis of a flexible portal frame subjected to support excitation, which is provided by an electro-dynamical shaker. The main goal of this study is to investigate the dynamic interactions between a flexible portal frame and a nonlinear electrical support excitation. The numerical analysis shows a complex behavior of the system, which can be observed by phase spaces, Poincaré sections and bifurcation diagrams.

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