A transient strong nonlinear characteristic signal time domain analysis method

By dividing the structural response signal into stages and calculating the exponent under strong impact loads, the problem of quantitative analysis of transient strong nonlinear dynamic behavior in existing technologies is solved. This enables the quantification of the nonlinear characteristics of the system and reliable evaluation by model tests, reducing the risk of misjudgment.

CN121920089BActive Publication Date: 2026-11-06HARBIN ENG UNIV
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Patent Information

Application Number
CN202610101887.6
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2026-01-26
Publication Date
2026-11-06
Estimated Expiration
2046-01-26

AI Technical Summary

Technical Problem

Existing technologies lack methods for quantitatively analyzing transient, strongly nonlinear, and nonstationary dynamic behaviors in stages based directly on measured response signals under strong impact loads. This makes it difficult to reveal the system's sensitivity to initial conditions, nonlinear intensity, and evolution path, and also makes it impossible to effectively assess the similarity between prototype and model test results at the nonlinear mechanism level.

Method used

A time-domain analysis method for transient strong nonlinear characteristic signals is provided. By acquiring the transient dynamic response signal of the structure under strong impact load, filtering and denoising and baseline correction are performed. The signal is divided into an early strong nonlinear stage, a non-stationary transition stage and a late quasi-periodic stage. The maximum Lyapunov exponent and the Hearst exponent are calculated respectively to quantify the system's sensitivity to initial conditions and nonlinear intensity. A nonlinear dynamic state plane is constructed for evaluation.

Benefits of technology

It enables phased quantitative analysis of structural dynamic response, quantifies the nonlinear intensity and evolution path of the system, reduces the risk of misjudgment in engineering analysis, and improves the reliability of similarity assessment at the nonlinear mechanism level of model tests.

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Abstract

A time-domain analysis method for transient strongly nonlinear characteristic signals is presented, relating to the field of nonlinear dynamic signal analysis. Existing time-domain or frequency-domain-based analysis methods struggle to characterize the significant nonlinear evolution features in strong impact responses, cannot quantitatively reveal the system's sensitivity to initial conditions and the mechanism of dynamic state changes over time, and are difficult to effectively assess the similarity between model tests and prototype tests at the nonlinear level. This invention preprocesses and divides the time-domain signal of the strong impact response into stages, calculates the maximum Lyapunov exponent and Hearst exponent in stages, analyzes their evolution with stage and scaling ratio, constructs a nonlinear dynamic state plane, and achieves quantitative analysis of the evolution path of the strongly nonlinear response and model similarity. It is applicable to structural dynamics analysis, model test verification, and engineering safety assessment under strong impact conditions such as explosions and collisions.
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