Scholarlink

Purpose <p>This paper aims to investigate the dynamic behavior and bifurcation characteristics of a bilaterally constrained viscoelastic vibro-impact system under boundary&#xa0;excitation.</p> Methods <p>A bilaterally constrained viscoelastic vibro-impact model incorporating spring&#xa0;and damping elements is established to describe the system dynamics more accurately.&#xa0;The global Poincaréé mapping is constructed to detect periodic motions and complex&#xa0;bifurcations, including fork, saddle-node, grazing, and excitation bifurcations. Parameter continuation and cell mapping algorithms are employed to analyze the transition processes.</p> Results <p>The results show that in the low-frequency region with small gaps, the system predominantly exhibits 1–1–1 motions, and transitions between periodic bulge regions are induced by various bifurcations. In the ultra-low-frequency region, symmetric cluster-emergent oscillations occur, triggered by sudden jumps at non-smooth bifurcation interfaces. With&#xa0;variations in the relative stiffness ratio, the system is mainly characterized by 1–1–1 motions,&#xa0;while periodic islands containing complex periodic behaviors are observed. Transitions within&#xa0;these islands exhibit self-similar structures driven by multiple bifurcations.</p> Conclusions <p>The&#xa0;study reveals the crucial roles of boundary excitation, gap size, and stiffness ratio in shaping the&#xa0;multistable responses and bifurcation-induced transitions of the system. The proposed&#xa0;approach provides deeper insight into the nonlinear dynamics of bilaterally constrained&#xa0;viscoelastic vibro-impact systems.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Complex Nonlinear Dynamic Behaviour of a Bilateral Viscoelastic Vibro-impact Systems

  • 期刊论文

  • 发表日期：

    2026年3月9日

查看全文
  • Shaopei Wu,
  • Jiqi Wang,
  • Deyang Li,
  • Guofang Li,
  • Wangcai Ding

摘要

Purpose

This paper aims to investigate the dynamic behavior and bifurcation characteristics of a bilaterally constrained viscoelastic vibro-impact system under boundary excitation.

Methods

A bilaterally constrained viscoelastic vibro-impact model incorporating spring and damping elements is established to describe the system dynamics more accurately. The global Poincaréé mapping is constructed to detect periodic motions and complex bifurcations, including fork, saddle-node, grazing, and excitation bifurcations. Parameter continuation and cell mapping algorithms are employed to analyze the transition processes.

Results

The results show that in the low-frequency region with small gaps, the system predominantly exhibits 1–1–1 motions, and transitions between periodic bulge regions are induced by various bifurcations. In the ultra-low-frequency region, symmetric cluster-emergent oscillations occur, triggered by sudden jumps at non-smooth bifurcation interfaces. With variations in the relative stiffness ratio, the system is mainly characterized by 1–1–1 motions, while periodic islands containing complex periodic behaviors are observed. Transitions within these islands exhibit self-similar structures driven by multiple bifurcations.

Conclusions

The study reveals the crucial roles of boundary excitation, gap size, and stiffness ratio in shaping the multistable responses and bifurcation-induced transitions of the system. The proposed approach provides deeper insight into the nonlinear dynamics of bilaterally constrained viscoelastic vibro-impact systems.