基于Hilbert谱的结构动力响应非线性特征分析

PDF(3061 KB)

振动与冲击 ›› 2013, Vol. 32 ›› Issue (14) : 70-76.

论文

基于Hilbert谱的结构动力响应非线性特征分析

吴琛1,周瑞忠2

作者信息 +

Analysis of structural dynamic nonlinear characteristicbased on Hilbert spectrum

Wu Chen1，Zhou Ruizhong2

Author information +

文章历史 +

摘要

介绍了Hilbert-Huang变换的原理和波内调制的概念，对比了地震动作用下单自由度和多自由度结构的线性体系与三线性刚度退化体系绝对加速度响应的Hilbert幅值谱、能量谱，分析系统进入非线性力学状态的重要标志。结果表明：“频带展宽”和“优势频率漂移”是体系动力响应非线性力学行为的两个重要标志。线性体系加速度响应的能量集中在自振频率附近的窄小频带内；而三线性刚度退化体系由于波内调制的原因使Hilbert能量谱频带展宽。并且，能量谱的优势频率受体系屈服频率和开裂频率的影响向低频漂移。在短周期结构中，频带展宽和优势频率漂移较显著，而在长周期结构中表现不明显。

Abstract

The Hilbert spectrum and intra-wave modulation are introduced in this paper. In SDOF system and MDOF system, tri-linear stiffness retrograde system is compared with linear system on Hilbert amplitude spectrum and energy spectrum of earthquake absolute acceleration response. The symbols of structural non-linear mechanical behavior are analyzed. It is shown that "Band broadening" and" dominant frequency drift" are important symbols of dynamic nonlinear mechanical behavior. The acceleration energy of linear system is concentrated in a narrow band near the natural frequency and the intra-wave modulation cause band broadening in Hilbert energy spectrum of tri-linear stiffness degradation system. And influenced by yield frequency and cracking frequency, the dominant frequency band drift to the low frequency. In short period structures, band broadening and dominant frequency drift are obvious, but in the long period structures, are not significant.

导出引用

吴琛;周瑞忠. 基于Hilbert谱的结构动力响应非线性特征分析[J]. 振动与冲击, 2013, 32(14): 70-76

Wu Chen;Zhou Ruizhong. Analysis of structural dynamic nonlinear characteristicbased on Hilbert spectrum[J]. Journal of Vibration and Shock, 2013, 32(14): 70-76