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<p>In this study, we numerically investigate friction-induced vibrations in a brake caliper assembly and propose different mitigation strategies to control its oscillations. The caliper is modeled as a cantilever beam with a tip mass, which represents the pad. The tangential brake force due to pad–disc friction acts at the tip mass. We start with a nonlinear continuum-based model by retaining geometric nonlinearity. Next, we discretize the governing equations via Galerkin projection by using appropriate mode shapes. We then perform a bifurcation analysis across different friction parameters, showing that modal interactions produce quasiperiodic and chaotic responses consistent with experimentally reported behavior in the literature. Finally, we evaluate <i>two</i> caliper vibration mitigation strategies, namely, displacement- and velocity-based delayed-feedback controllers. It has been observed that in general the latter offers more robust suppression of aperiodic oscillations.</p>

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Disc brake caliper vibration under friction and geometric nonlinearities: modeling, bifurcation, and feedback control assessment

  • 期刊论文

  • 发表日期：

    2026年1月3日

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  • Soumyabrata Maiti,
  • Anish Kumar,
  • Husain Kanchwala

摘要

In this study, we numerically investigate friction-induced vibrations in a brake caliper assembly and propose different mitigation strategies to control its oscillations. The caliper is modeled as a cantilever beam with a tip mass, which represents the pad. The tangential brake force due to pad–disc friction acts at the tip mass. We start with a nonlinear continuum-based model by retaining geometric nonlinearity. Next, we discretize the governing equations via Galerkin projection by using appropriate mode shapes. We then perform a bifurcation analysis across different friction parameters, showing that modal interactions produce quasiperiodic and chaotic responses consistent with experimentally reported behavior in the literature. Finally, we evaluate two caliper vibration mitigation strategies, namely, displacement- and velocity-based delayed-feedback controllers. It has been observed that in general the latter offers more robust suppression of aperiodic oscillations.