Auto-parametric resonance of a continuous-beam-bridge model under two-point periodic excitation: an experimental investigation and stability analysis

IF 2.6 2区工程技术 Q2 ENGINEERING, CIVIL Earthquake Engineering and Engineering Vibration Pub Date : 2024-04-19 DOI:10.1007/s11803-024-2247-7

Yuchun Li, Chao Shen, Wei Liu, Dong Li

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Abstract

The auto-parametric resonance of a continuous-beam bridge model subjected to a two-point periodic excitation is experimentally and numerically investigated in this study. An auto-parametric resonance experiment of the test model is conducted to observe and measure the auto-parametric resonance of a continuous beam under a two-point excitation on columns. The parametric vibration equation is established for the test model using the finite-element method. The auto-parametric resonance stability of the structure is analyzed by using Newmark’s method and the energy-growth exponent method. The effects of the phase difference of the two-point excitation on the stability boundaries of auto-parametric resonance are studied for the test model. Compared with the experiment, the numerical instability predictions of auto-parametric resonance are consistent with the test phenomena, and the numerical stability boundaries of auto-parametric resonance agree with the experimental ones. For a continuous beam bridge, when the ratio of multipoint excitation frequency (applied to the columns) to natural frequency of the continuous girder is approximately equal to 2, the continuous beam may undergo a strong auto-parametric resonance. Combined with the present experiment and analysis, a hypothesis of Volgograd Bridge’s serpentine vibration is discussed.

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两点周期激励下连续梁桥模型的自动参数共振：实验研究与稳定性分析

本研究通过实验和数值方法对受到两点周期激励的连续梁桥模型的自参数共振进行了研究。对试验模型进行了自参数共振实验，以观察和测量连续梁在柱上两点激励下的自参数共振。利用有限元方法建立了试验模型的参数振动方程。利用纽马克法和能量增长指数法分析了结构的自参数共振稳定性。研究了两点激励的相位差对试验模型自参数共振稳定边界的影响。与试验相比，自参数共振的数值不稳定性预测与试验现象一致，自参数共振的数值稳定边界与试验边界一致。对于连续梁桥，当多点激励频率（施加于立柱）与连续梁固有频率之比约为 2 时，连续梁可能会发生强烈的自参数共振。结合本实验和分析，讨论了伏尔加格勒大桥蛇形振动的假设。

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来源期刊

Earthquake Engineering and Engineering Vibration 工程技术-工程：地质

CiteScore

4.70

自引率

21.40%

发文量

1057

审稿时长

9 months

期刊介绍： Earthquake Engineering and Engineering Vibration is an international journal sponsored by the Institute of Engineering Mechanics (IEM), China Earthquake Administration in cooperation with the Multidisciplinary Center for Earthquake Engineering Research (MCEER), and State University of New York at Buffalo. It promotes scientific exchange between Chinese and foreign scientists and engineers, to improve the theory and practice of earthquake hazards mitigation, preparedness, and recovery. The journal focuses on earthquake engineering in all aspects, including seismology, tsunamis, ground motion characteristics, soil and foundation dynamics, wave propagation, probabilistic and deterministic methods of dynamic analysis, behavior of structures, and methods for earthquake resistant design and retrofit of structures that are germane to practicing engineers. It includes seismic code requirements, as well as supplemental energy dissipation, base isolation, and structural control.