基于VMD的非平稳地震动信号模拟  

Simulation of Non-stationary Ground Vibration Signals Based on VMD

作　　者：李媛 邓嘉瑞 陈飞[2] 方先慧 Li Yuan;Deng Jiarui;Chen Fei;Fang Xianhui(College of Architectural Engineering,Kunming University of Science and Technology,Kunming 650500,Yunnan,China;College of Water Resources and Engineering Construction,Northwest A&F University,Yangling 712100,Shaanxi,China)

机构地区：[1]昆明理工大学建筑工程学院,云南昆明650500 [2]西北农林科技大学水利与工程建筑学院,陕西杨凌712100

出　　处：《科技通报》2023年第8期94-99,共6页Bulletin of Science and Technology

摘　　要：本文实现了一种基于变分模态分解(variational mode decomposition,VMD)并向设计谱拟合的方法来生成人工地震动样本,其非平稳特征与给定的自然地震动记录相似,并满足设计谱要求。在该方法中,首先用变分模态分解方法对信号分解以获得不同频带子信号的瞬时振幅和瞬时相位。假定瞬时相位是某个随机过程的样本,通过建立这个随机过程的随机模型,生成相应的随机过程的瞬时相位。而瞬时振幅经迭代修正后向规范反应谱拟合。合成实例表明,所提出的方法生成的模拟样本能够保持原始自然地震动的一般时变特征,并且能良好地与设计谱兼容。In this study,a method based on variational mode decomposition(VMD)and fitting to the design spectrum is implemented to generate vibration samples from adult construction sites.The non-stationary characteristics are similar to the given natural ground motion records and meet the requirements of the design spectrum.In this method,the signal is decomposed by the variational mode decomposition method to obtain the instantaneous amplitudes and instantaneous phases of the sub-signals in different frequency bands.It is assumed that the instantaneous phase is the sample of a random process,and the corresponding instantaneous phase of the random process is generated by establishing the random model of the random process.The instantaneous amplitudes are fitted by iterative correction to the back gauge response spectrum.The synthetic examples show that the simulated samples generated by the proposed method can maintain the general time-varying characteristics of the original natural ground motion and are well compatible with the designed spectrum.

关 键 词：变分模态分解 时频分析 地震动模拟 兼容设计谱 

分 类 号：U442.55[建筑科学—桥梁与隧道工程] U448.23[交通运输工程—道路与铁道工程]