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<p>To address the issue of nonlinear dynamic parameter identification for the dual metal rubber clamp (DMRC), this study proposes a comprehensive approach encompassing theoretical modeling, parameter identification, and experimental validation. An identification system is constructed using parallel double straight pipes, a DMRC, and a mass block, and the system’s dynamic model is established based on the finite element method. Specifically, Timoshenko beam elements are employed to simulate the pipe bodies, while multiple sets of spring-damping modules are used to model the DMRC. The inertial effects of the clamp and the mass block are incorporated via the lumped mass method. The Newmark-β method is applied to solve the frequency-domain dynamic equations under swept-sine excitation, and the frequency-domain response is obtained by combining with Fast Fourier Transform (FFT). For stiffness parameters, the Sheffield single-objective genetic algorithm is adopted, with the resonance frequency deviation serving as the objective function, to identify the clamp linear stiffness and rotational stiffness. For damping parameters, the Pareto multi-objective genetic algorithm is utilized, taking the resonance peak response deviation of the two pipes as the objective function, to identify the clamp damping coefficients. Finally, polynomial fitting is used to derive the nonlinear relationships between stiffness/damping and response displacement/velocity. This identification strategy accounts for the differences in nonlinear dynamic parameters across various directions, which arise from the structural asymmetry of the clamp. Furthermore, two types of comparative experiments are conducted: “based on identified input parameters” and “based on non-identified input parameters”. The results demonstrate that the proposed identification method can accurately reflect the nonlinear mechanical behavior of the DMRC. The simulation results are in good agreement with the experimental data in terms of resonance frequency and response peak, verifying the effectiveness and applicability of the method.</p>

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A multi-parameter synchronous identification method for dual metal rubber clamps considering multi-directional nonlinear differences

  • 期刊论文

  • 发表日期：

    2026年8月4日

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  • Kunpeng Xu,
  • Cheng Xu,
  • Bo Wang

摘要

To address the issue of nonlinear dynamic parameter identification for the dual metal rubber clamp (DMRC), this study proposes a comprehensive approach encompassing theoretical modeling, parameter identification, and experimental validation. An identification system is constructed using parallel double straight pipes, a DMRC, and a mass block, and the system’s dynamic model is established based on the finite element method. Specifically, Timoshenko beam elements are employed to simulate the pipe bodies, while multiple sets of spring-damping modules are used to model the DMRC. The inertial effects of the clamp and the mass block are incorporated via the lumped mass method. The Newmark-β method is applied to solve the frequency-domain dynamic equations under swept-sine excitation, and the frequency-domain response is obtained by combining with Fast Fourier Transform (FFT). For stiffness parameters, the Sheffield single-objective genetic algorithm is adopted, with the resonance frequency deviation serving as the objective function, to identify the clamp linear stiffness and rotational stiffness. For damping parameters, the Pareto multi-objective genetic algorithm is utilized, taking the resonance peak response deviation of the two pipes as the objective function, to identify the clamp damping coefficients. Finally, polynomial fitting is used to derive the nonlinear relationships between stiffness/damping and response displacement/velocity. This identification strategy accounts for the differences in nonlinear dynamic parameters across various directions, which arise from the structural asymmetry of the clamp. Furthermore, two types of comparative experiments are conducted: “based on identified input parameters” and “based on non-identified input parameters”. The results demonstrate that the proposed identification method can accurately reflect the nonlinear mechanical behavior of the DMRC. The simulation results are in good agreement with the experimental data in terms of resonance frequency and response peak, verifying the effectiveness and applicability of the method.