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Purpose <p>To better understand deck-cable resonance in cable-stayed bridges, we develop an innovative plate model that supersedes conventional beam representations. A unified and coupled nonlinear dynamics between the cable and plate with shear effect is presented focusing on the primary resonance and 2:1 internal resonance.</p> Methods <p>The Galerkin projection method is employed to derive ordinary differential equations (ODEs), while the multi-scale method is applied to obtain modulation equations on slow time scales. The steady-state dynamic response of the system and its parameter dependencies are thoroughly examined, and verified by Runge-Kutta numerical method.</p> Results <p>Results show that the cable-plate model can reveal qualitatively different and new dynamic behaviors; with the decrease of sag-to-span ratio or incline angle, double resonance peak of the cable in the primary domain degenerates into a single peak; with increase of excitation amplitude, primary and super-harmonic resonance may join together and cause large amplitude responses.</p> Conclusion <p>This study introduces a novel simplified cable-stayed plate model for cable-stayed bridges, incorporating the shear effect of the bridge deck to more accurately capture the dynamic interaction between cables and the deck. The proposed model offers a refined framework for analyzing coupled vibrations, with potential applications in improving structural design and supporting vibration suppression strategies.</p>

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Primary and Internal Resonances of a Novel Cable-Stayed Plate System with Shear Effects

  • 期刊论文

  • 发表日期：

    2025年9月5日

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  • Jie Pan,
  • Yunyue Cong,
  • Houjun Kang

摘要

Purpose

To better understand deck-cable resonance in cable-stayed bridges, we develop an innovative plate model that supersedes conventional beam representations. A unified and coupled nonlinear dynamics between the cable and plate with shear effect is presented focusing on the primary resonance and 2:1 internal resonance.

Methods

The Galerkin projection method is employed to derive ordinary differential equations (ODEs), while the multi-scale method is applied to obtain modulation equations on slow time scales. The steady-state dynamic response of the system and its parameter dependencies are thoroughly examined, and verified by Runge-Kutta numerical method.

Results

Results show that the cable-plate model can reveal qualitatively different and new dynamic behaviors; with the decrease of sag-to-span ratio or incline angle, double resonance peak of the cable in the primary domain degenerates into a single peak; with increase of excitation amplitude, primary and super-harmonic resonance may join together and cause large amplitude responses.

Conclusion

This study introduces a novel simplified cable-stayed plate model for cable-stayed bridges, incorporating the shear effect of the bridge deck to more accurately capture the dynamic interaction between cables and the deck. The proposed model offers a refined framework for analyzing coupled vibrations, with potential applications in improving structural design and supporting vibration suppression strategies.