基于EMD的单自由度体系地震瞬态与稳态反应计算与分析

PDF(890 KB)

振动与冲击 ›› 2020, Vol. 39 ›› Issue (13) : 193-197.

论文

项洪1,3，吴琛2,3，杨超2,3，陈柯丹2,3

作者信息 +

Calculation and analysis for seismic transient and steady-state responses of a single-DOF system based on EMD

XIANG Hong1,3, WU Chen2,3, YANG Chao2,3, CHEN Kedan2,3

Author information +

文章历史 +

摘要

结构的地震响应通常无法区分瞬态反应和稳态反应。通过经验模态分解将地震动分解成若干个固有模态函数，基于固有模态函数的半波简谐特性和谐波理论，提出半波拟简谐分析法，实现地震作用下结构瞬态与稳态反应的剥离。对不同类型地震作用下的长周期和短周期结构的瞬态反应、稳态反应以及对应的反应谱进行分析，研究结果表明：在地震作用等宽频带信号作用下，瞬态与稳态反应表现出异于单一分量信号的特征。不论长短周期结构、不论何种地震类型，其瞬态反应和稳态反应都在位移总响应中发挥重要作用，且二者互相制约，忽略两者中的一种反应成分，均将高估了总反应，使得在结构设计时偏保守，不经济。

Abstract

It is often unable to distinguish between transient and steady-state responses for those of aseismic structures. Here, the empirical mode decomposition (EMD) method was used to decompose a structural response into several intrinsic mode functions (IMFs), and based on the half-wave simple harmonic feature of IMF and the harmonic wave theory, a half-wave quasi-simple harmonic analysis method was proposed to realize separation of seismic transient and steady-state responses. Transient responses, steady-state ones and response spectra of long-period and short-one structures under different types of earthquakes were studied. Results showed that the characteristics of their transient and steady-state responses under action of broadband seismic signals are different from those under action of single-component seismic signal; transient responses and steady-state ones of structures with different periods under different types of earthquakes play an important role in the total displacement response, and both of them are mutually restricted; if one of the two responses is ignored, the total response can be over-estimated to make structural design be conservative and uneconomic.

导出引用

项洪1,3，吴琛2,3，杨超2,3，陈柯丹2,3. 基于EMD的单自由度体系地震瞬态与稳态反应计算与分析[J]. 振动与冲击, 2020, 39(13): 193-197

XIANG Hong1,3, WU Chen2,3, YANG Chao2,3, CHEN Kedan2,3. Calculation and analysis for seismic transient and steady-state responses of a single-DOF system based on EMD[J]. Journal of Vibration and Shock, 2020, 39(13): 193-197

参考文献

[1] R. 克拉夫，J. 彭津. 结构动力学(第2版)(修订版) [M]. 王光远，译. 北京：高等教育出版社，2006.

CLOUGH R W, PENZIEN J. Dynamics of structures (2nd Ed) (Revised) [M]. WANG Guangyuan, translated. Beijing: Higher Education Press, 2006.

[2] 滕军. 结构振动控制的理论、技术和方法[M]. 北京：科学出版社，2009.

TENG Jun. Structural vibration control theory, technology and method [M]. Beijing: Science Press, 2009.

[3] 祁皑，范宏伟，陈永祥. 简谐荷载作用下伴生自由振动的研究[J]. 地震工程与工程振动，2002, 22(06): 156-161.

QI Ai, FAN Hongwei, CHEN Yongxiang. Research on transient vibration under input of harmonic loading [J]. Earthquake Engineering and Engineering Dynamics, 2002, 22(06): 156-161.

[4] 祁皑，范宏伟，陈永祥. 简谐地面运动作用下系统瞬态振动的研究[J]. 振动、测试与诊断，2003, 23(03): 45-47.

QI Ai, FAN Hongwei, CHEN Yongxiang. Research on Transient Vibration of a System under the Input of Harmonic Ground Motion [J]. Journal of Vibration, Measurement & Diagnosis, 2003, 23(03): 45-47.

[5] 徐龙军，谢礼立，郝敏. 简谐波地震动反应谱研究[J]. 工程力学，2005, 22(05): 7-13.

XU Longjun, XIE Lili, HAO Min. On the response spectra harmonic ground motion [J]. Engineering Mechanics, 2005, 22(05): 7-13.

[6] 吴琛，周瑞忠. 地震瞬态反应计算与结构位移反应谱研究[J]. 水力发电学报，2007, 26(05): 53-58.

WU Chen, ZHOU Ruizhong. Computation of earthquake transient response and research on displacement spectra [J]. Journal of Hydroelectric Engineering, 2007, 26(05): 53-58.

[7] 吴琛，周瑞忠. 长周期结构地震瞬态反应研究[J]. 振动与冲击，2011, 30(5): 123-126.

WU Chen, ZHOU Ruizhong. Earthquake transient response of a long period structure [J]. Journal of Vibration and Shock, 2011, 30(5): 123-126.

[8] 吴琛，周瑞忠. 基于小波包变换的长周期结构高频地震动瞬态反应研究[J]. 土木工程学报，2011, 44(6): 55-60.

WU Chen, ZHOU Ruizhong. Study of the transient response of long-period structures to high frequency earthquake based on wavelet packets transform [J]. China civil Engineering Journal, 2011, 44(6): 55-60.

[9] HU S J, GAO B. Computing Transient Response of Dynamic Systems in the Frequency Domain [J]. Journal of Engineering Mechanics, 2018, 144(2): 4017167.

[10] HU S J, CAO Q, LI H. Laplace Domain Approach for Computing Transient Response of Simple Oscillators to Stationary Excitation[J]. Journal of Engineering Mechanics, 2018, 144(9): 4018093.

[11] HUANG N E, SHEN Z, LONG S R. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis [J]. Proceedings of Royal Society of London, 1998, 454(1971): 903-995.

[12] 王博. 多类型长周期地震动作用下高层结构的动力行为与设计方法研究[D]. 西安：西安建筑科技大学，2013.

WANG Bo. Study on dynamic behavior and design method of high-rise structures under multi-type long- period ground motions [D]. Xi’an: Xi’an University of Architecture and Technology, 2013.