基于逆系统方法的多输入多输出非高斯驱动信号生成

doi:10.7527/S1000-6893.2016.0039

Abstract

Abstract:

The multi-input multi-output (MIMO) vibration environment test is a new method in the vibration testing area, which can replicate the vibration environment endured by a structure under the practical situation more accurately than the traditional single-input single-output (SISO) manner. The traditional random vibration test with frequency domain method aims to generate a stationary and Gaussian vibration environment. But the practical vibration environments are always non-Gaussian, which can cause different damages to the structures compared with Gaussian excitations. Thus, it is significant to study the MIMO non-Gaussian test method. The generation of the driving signals is the key in the vibration environment test. In this paper, a method for generating MIMO non-Gaussian driving signals based on inverse system and phase manipulation is proposed. First, phase manipulation is used to generate the pseudo random non-Gaussian responses according to the given reference power spectrum densities (PSD) and kurtoses. Then inverse system method is used to generate the pseudo driving signals. Finally, the real random non-Gaussian driving signals are obtained by time domain randomization. A two-input two-output cantilever beam model is selected as an example. The simulation results indicate that the error between the output response spectra and the reference ones meets the ±3 dB requirements in engineering practice and the values of kurtoses of the outputs are very close to the reference ones. Thus, the proposed method is valid.

Key words: vibration environment test, MIMO, power spectrum density, non-Gaussian, kurtosis, inverse system

CLC Number:

V216.5
O324

CHEN Huaihai, WANG Pengyu, SUN Jianyong. Generation of multi-input multi-output non-Gaussian driving signal based on inverse system method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(5): 1544-1551.

References

[1] SMALLWOOD D O. Multiple-input multiple-output (MIMO) linear systems extreme inputs/outputs[J]. Shock and Vibration, 2007, 14(2):107-131.
[2] 姜双燕, 陈怀海, 贺旭东, 等. 基于回路整型设计的多轴振动控制[J]. 航空学报, 2010, 31(10):1940-1945. JIANG S Y, CHEN H H, HE X D, et al. Multi-axis vibration control research via loop-shaping design[J]. Acta Aeronautica et Astronautica Sinica, 2010, 31(10):1940-1945(in Chinese).
[3] Department of Defense. Environmental engineering considerations and laboratory tests:MIL-STD-810G[S]. Washington, D.C.:Department of Defense, 2012.
[4] KUMAR K S, STATHOPOULOS T. Synthesis of non-Gaussian wind pressure time series on low building roofs[J]. Engineering Structures, 1999, 21(12):1086-1100.
[5] LI J H, LI C X. Simulation of non-Gaussian stochastic process with target power spectral density and lower-order moments[J]. Journal of Engineering Mechanics, 2011, 138(5):391-404.
[6] GARCIA R M, ROUILLARD V. On the statistical distribution of road vehicle vibrations[J]. Packaging Technology and Science, 2011, 24(8):451-467.
[7] ROUILLARD V, SEK M. Creating transport vibration simulation profiles from vehicle and road characteristics[J]. Packaging Technology and Science, 2013, 26(2):82-95.
[8] 蒋培, 张春华, 陈循, 等. 超高斯随机振动环境的疲劳强化机理[J]. 国防科技大学学报, 2004(3):99-102. JIANG P, ZHANG C H, CHEN X, et al. Fatigue strengthening mechanism of the super-Gaussian random vibration environment[J]. Journal of National University of Defense Technology, 2004(3):99-102(in Chinese).
[9] SMALLWOOD D O. Generating non-Gaussian vibration for testing purposes[J]. Sound and Vibration, 2005, 39(10):18-23.
[10] WINTERSTEIN S. Nonlinear vibration models for extremes and fatigue[J]. Journal of Engineering Mechanics, 1988, 114(10):1772-1790.
[11] STEINWOLF A. Random vibration testing with kurtosis control by IFFT phase manipulation[J]. Mechanical Systems and Signal Processing, 2012, 28(2):561-573.
[12] 蒋瑜, 陶俊勇, 王得志, 等. 一种新的非高斯随机振动数值模拟方法[J]. 振动与冲击, 2012, 31(19):169-173. JIANG Y, TAO J Y, WANG D Z, et al. A novel approach for numerical simulation of a non-Gaussian random vibration[J]. Journal of Vibration and Shock, 2012, 31(19):169-173(in Chinese).
[13] 李锦华, 李春祥, 申建红. 非高斯脉动风压的模拟研究[J]. 振动与冲击, 2009, 28(9):5-9. LI J H, LI C X, SHEN J H. Simulation of non-Gaussian fluctuating wind pressure[J]. Journal of Vibration and Shock, 2009, 28(9):5-9(in Chinese).
[14] 崔旭利, 陈怀海, 贺旭东,等. 多输入多输出随机振动试验变参数PID控制[J]. 航空学报, 2010, 31(9):1776-1780. CUI X L, CHEN H H, HE X D, et al. PID control with variable arguments for MIMO random vibration test[J]. Acta Aeronautica et Astronautica Sinica, 2010, 31(9):1776-1780(in Chinese).
[15] CUI X L, CHEN H H, HE X D, et al. Matrix power control algorithm for multi-input multi-output random vibration test[J]. Chinese Journal of Aeronautics, 2011, 24(6):741-748.
[16] STEINWOLF A. Closed-loop shaker simulation of non-Gaussian random vibrations[J]. Test Engineering and Management, 2006, 68(3):1-10.
[17] 魏星原, 宋斌, 郑效忠. 载荷识别的逆系统方法[J]. 振动、测试与诊断, 1995, 15(3):35-43. WEI X Y, SONG B, ZHEN X Z. A method of inverse system to identify force[J]. Journal of Vibration, Measurement & Diagnosis, 1995, 15(3):35-43(in Chinese).
[18] MA C K, CHANG J M, LIN D C. Input forces estimation of beam structures by an inverse method[J]. Journal of Sound and Vibration, 2003, 259(2):387-407.
[19] KAMMER D C. Input force reconstruction using a time domain technique[J]. Journal of Vibration and Acoustics, 1998, 120(4):868-874.
[20] 贺旭东, 陈怀海, 申凡, 等. 双振动台随机振动综合控制研究[J]. 振动工程学报, 2006, 19(2):145-149 HE X D, CHEN H H, SHEN F, et al. Study of dual-shaker random vibration test control[J]. Journal of Vibration Engineering, 2006, 19(2):145-149(in Chinese).

Generation of multi-input multi-output non-Gaussian driving signal based on inverse system method

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