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<p>In mechanical structure dynamics, bolted lap joint structures are widely used in engineering equipment, and their vibration characteristics are crucial to the stability and reliability of the equipment. However, current research has not paid enough attention to the effect of surface roughness on assembly stiffness, and often neglects the effect of contact stiffness and damping of the assembly bonding surfaces on the vibration of the bolted lap structure system. In this study, a vibration system model of a bolted lap structure is established based on nonlinear mechanical control differential equations, focusing on how the interface characteristics of the assembly bonding surface at the bolted lap affect the nonlinear vibration state of the system. Using a single—bolt lap beam as the research object, the system's energy expression is established. The Lagrangian method is used to derive the system's nonlinear vibration differential equations, and then the multiscale method is applied to solve the analytical solutions. The Runge–Kutta method is used in Matlab to numerically simulate the differential equations, obtaining the system's bifurcation diagrams, Poincaré mappings, time—domain diagrams, and phase diagrams. The influence of the parameters of interface properties (contact stiffness, contact damping, etc.) on the nonlinear vibration state of the bolted lap beam system is deeply analyzed. The results show that there are specific parameter intervals that make the system switch between stable and chaotic states: the contact stiffness parameter <i>β</i> in 0–0.96 and &gt; 1.21 corresponds to stable states, while 0.96–1.21 corresponds to chaotic states, and the system's main vibration amplitude decreases with increasing contact stiffness. The contact damping has almost no effect on the system's vibration stability. It is also found that bending damping affects the system's vibration stability: the system is chaotic when the bending damping parameter <i>λ</i><sub>1</sub> is 0–4, but tends to stabilize when <i>λ</i><sub>1</sub> &gt; 4.</p>

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Normal nonlinear vibration of bolted lap beams considering contact characteristics of assembled bond surfaces

  • 期刊论文

  • 发表日期：

    2026年2月24日

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  • Jian Chen,
  • Xinlong Zhu,
  • Linbo Zhu,
  • Jun Hong,
  • Haiyang Li

摘要

In mechanical structure dynamics, bolted lap joint structures are widely used in engineering equipment, and their vibration characteristics are crucial to the stability and reliability of the equipment. However, current research has not paid enough attention to the effect of surface roughness on assembly stiffness, and often neglects the effect of contact stiffness and damping of the assembly bonding surfaces on the vibration of the bolted lap structure system. In this study, a vibration system model of a bolted lap structure is established based on nonlinear mechanical control differential equations, focusing on how the interface characteristics of the assembly bonding surface at the bolted lap affect the nonlinear vibration state of the system. Using a single—bolt lap beam as the research object, the system's energy expression is established. The Lagrangian method is used to derive the system's nonlinear vibration differential equations, and then the multiscale method is applied to solve the analytical solutions. The Runge–Kutta method is used in Matlab to numerically simulate the differential equations, obtaining the system's bifurcation diagrams, Poincaré mappings, time—domain diagrams, and phase diagrams. The influence of the parameters of interface properties (contact stiffness, contact damping, etc.) on the nonlinear vibration state of the bolted lap beam system is deeply analyzed. The results show that there are specific parameter intervals that make the system switch between stable and chaotic states: the contact stiffness parameter β in 0–0.96 and > 1.21 corresponds to stable states, while 0.96–1.21 corresponds to chaotic states, and the system's main vibration amplitude decreases with increasing contact stiffness. The contact damping has almost no effect on the system's vibration stability. It is also found that bending damping affects the system's vibration stability: the system is chaotic when the bending damping parameter λ1 is 0–4, but tends to stabilize when λ1 > 4.