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| 爆炸荷载下时变参数等效单自由度模型 |
| Time-Varying Parameter Equivalent Single-Degree-of-Freedom Model under Blast Loading |
| 投稿时间：2026-07-02 修订日期：2026-08-17 |
| DOI： |
| 中文关键词: 时变参数 等效单自由度模型 能量等效 参数识别 |
| English Keywords:Time-varying parameters Equivalent single-degree-of-freedom model Energy equivalence Parameter identification |
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| 摘要点击次数: 42 |
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| 中文摘要: |
| 针对等效单自由度模型采用固定变形函数导致转换系数为常数，无法反映爆炸荷载下结构非线性响应的时变特征，进而引起响应不匹配这一核心难题，提出一种时变参数等效单自由度模型（TVP-SDOF）。该方法不再固定转换系数，而是依据有限元计算的位移和能量响应，识别其时变规律，使模型能跟踪结构冲击全过程。以两端固定梁承受三角脉冲荷载为例验证，结果表明：TVP-SDOF模型峰值位移误差仅3.28%，峰值能量误差仅4.35%；更为关键的是，结构响应变化时的平均能量误差由33.4%降至1.1%，平均位移误差由16.5%降至1.5%。结果表明，该方法不仅能够准确预测峰值响应，还能更可靠地刻画峰值前的响应演化过程，具有较好的短时强脉冲作用下响应时程重构能力，并为连续冲击和时序爆炸条件下的简化动力分析提供了参考。 |
| English Summary: |
| To address response mismatch in conventional SDOF models, where fixed deformation functions lead to constant transformation factors that cannot capture the time-varying nonlinear response of structures under blast loading, a time-varying-parameter equivalent single-degree-of-freedom model (TVP-SDOF) was proposed. The transformation factors were identified from finite element displacement and energy responses rather than kept constant, enabling the model to track the complete impact response. A fixed-fixed beam under a triangular pulse was used for validation. The peak displacement and energy errors were only 3.28% and 4.35%, respectively. During response evolution, the average energy error decreased from 33.4% to 1.1%, and the average displacement error from 16.5% to 1.5%. The results show that the model accurately predicts peak responses, captures pre-peak evolution more reliably, reconstructs response histories well under short intense pulses, and provides a reference for simplified dynamic analysis under continuous impact and sequential blast loading. |
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