Method for modeling the hysteretic dynamics of metal rubber materials based on high-order nonlinear friction

By constructing a metal-rubber hysteresis dynamic model based on high-order nonlinear friction, the problems of insufficient accuracy and poor versatility of existing models are solved, achieving higher accuracy and wider application, and optimizing the equivalent modeling method.

CN115879269BActive Publication Date: 2026-04-14FUZHOU UNIV
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Patent Information

Application Number
CN202211266433.2
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-10-15
Publication Date
2026-04-14
Estimated Expiration
2042-10-15

AI Technical Summary

Technical Problem

Existing metal-rubber dynamics models cannot be accurately constructed, neglecting damping characteristics and lacking universality, resulting in insufficient model accuracy and limiting their widespread application.

Method used

Based on a high-order nonlinear friction model, combining nonlinear elastic restoring force, nonlinear damping force, and hysteresis damping force, the hysteresis damping force is decomposed using Chebyshev polynomial decomposition, and the parameters are optimized using the Lsqlin solver and OLS algorithm to construct a high-precision and universal metal-rubber hysteresis dynamic model.

Benefits of technology

The accuracy and versatility of the metal-rubber dynamics model have been improved, the equivalent modeling method has been optimized, and higher model accuracy and wider application potential have been achieved.

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Abstract

The application relates to a high-order nonlinear friction-based metal rubber material hysteresis dynamics modeling method, which comprises the following steps: constructing a high-order nonlinear friction force model according to the contact form and spatial angle distribution of metal wires in the metal rubber; constructing a traditional dynamics model; substituting the high-order nonlinear friction force model into the traditional dynamics model to construct a high-order nonlinear friction-based metal rubber hysteresis dynamics model; performing parameter identification on the metal rubber hysteresis dynamics model; constructing an error model to represent the error of the test results affected by the dynamics model; performing parameter identification on the error model to determine the optimal number of model terms that should be included in the model, and completing the determination of the error model; completing error model parameter optimization, and completing model construction according to the model correlation coefficient of the high-order nonlinear metal rubber hysteresis dynamics model based on the error model. The method is beneficial to the establishment of a metal rubber dynamics model with high precision and universality.
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