非高斯随机振动的分析基础
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摘要
本文试图建立非高斯随机振动综合的分析基础。分析了基于运载火箭外场振动环境的形成机理,用乘积模型关联了非高斯随机波形的表征、分解与重构。典型的振动载荷包括火箭噪声、压力振荡和路面不平引起的随机振动。时间历程的功率谱、峭度和跌宕周期作为形成非高斯随机波形的控制参数。通过以累积损伤为判据的数字仿真,比较了不同重构信号的模拟程度。结果表明基于β分布随机数排序生成非高斯振动的模拟效果与原信号的最接近。
This paper make a study of the analytical basis for the synthesis of non-Gaussian vibration. The product formula is used for relating characterization and simulation of the non-Gaussian signal, base on creating mechanism of carrier rocket field vibration environment. The typical vibration loads include the random vibration from rocket noise, pressure shock and road irregularities. The power spectral density, kurtosis and roll period of typical time history is used to control parameter for generating non-Gaussian random wave. By cumulative damage criterion via numerical simulations, the simulation degree of very reform signal is compared. As a result, the simulation effect of non-Gaussian signals generating by the rearrangement technique of β distribution random number is close to effect of the original signal.
This paper make a study of the analytical basis for the synthesis of non-Gaussian vibration. The product formula is used for relating characterization and simulation of the non-Gaussian signal, base on creating mechanism of carrier rocket field vibration environment. The typical vibration loads include the random vibration from rocket noise, pressure shock and road irregularities. The power spectral density, kurtosis and roll period of typical time history is used to control parameter for generating non-Gaussian random wave. By cumulative damage criterion via numerical simulations, the simulation degree of very reform signal is compared. As a result, the simulation effect of non-Gaussian signals generating by the rearrangement technique of β distribution random number is close to effect of the original signal.
引文
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[7]吴家驹,付玮,张鹏飞.基于β分布随机数排序的非高斯振动模拟方法[J].强度与环境,2017,44(2):1-8.
[8]Smallwood D O.Generation of stationary non-gaussian time histories with a specified cross-spectral density[J].Shock and vibration,1997,4(5,6):361-377.
[9]吴家驹,丁镇军,丁富海.压力振荡环境的表征和模拟[J].强度与环境,2016,43(1):1-5.
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[11]Angeli A,Cornelis B,Fatigue damage spectrum calculation in a mission synthesis procedure for sine-on-random excitations[C].Journal of physics:conference series 744(2016)012089.
[2]Joel Minderhoud,Philip Van Baren.Using kurtosion to accelerate structural life testing[J].Sound&vibration,2010.
[3]Smallwood D O.Generation of stationary non-gaussian time histories with a specified cross spectral density[J].Shock and Vibration,1997,4(5,6):361-377.
[4]Smallwood D O.Vibration with non-gaussian noise[J].Journal of the institute of environmental sciences and technology,2009,52(3):13-20.
[5]Kihm F,Rizzi S A,Ferguson N S,et al.Understanding how kurtosis is transferred from input acceleration to stress response and its influence on fatigue life[C].11th International conference 1-3 July 2013,Pisa.
[6]Rizzi S A,Behnke M N,Przekop A.The effect of a non-gaussian random loading on high-cycle fatigue of a thermally post-buckled structure[C].10th International conference 12-14 July 2010,Southampton.
[7]吴家驹,付玮,张鹏飞.基于β分布随机数排序的非高斯振动模拟方法[J].强度与环境,2017,44(2):1-8.
[8]Smallwood D O.Generation of stationary non-gaussian time histories with a specified cross-spectral density[J].Shock and vibration,1997,4(5,6):361-377.
[9]吴家驹,丁镇军,丁富海.压力振荡环境的表征和模拟[J].强度与环境,2016,43(1):1-5.
[10]Lou C H,Chen C H,Mao C H.Detecting seismic response signals using singular spectrum analysis[C].Proc.of SPIE,76471S-12.
[11]Angeli A,Cornelis B,Fatigue damage spectrum calculation in a mission synthesis procedure for sine-on-random excitations[C].Journal of physics:conference series 744(2016)012089.