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能量包线随机平均法在双线性迟滞系统随机响应分析中的应用
引用本文:朱位秋,雷鹰.能量包线随机平均法在双线性迟滞系统随机响应分析中的应用[J].航空学报,1989,10(1):28-34.
作者姓名:朱位秋  雷鹰
作者单位:浙江大学 (朱位秋),浙江大学(雷鹰)
摘    要: 本文将能量包线随机平均法应用于分析单自由度双线性迟滞系统对白噪声激励的随机响应,详细分析了位移、速度及总能量的平稳响应各统计量随系统粘性阻尼、次斜率及激励强度的变化。解析结果与数字模拟结果比较表明,该方法优于迄今为止用于双线性迟滞系统随机响应分析的其他近似方法。

关 键 词:随机激励  双线性系统  迟滞  随机过程  
收稿时间:1987-09-15;

THE APPLICATION OF THE METHOD OF STOCHASTIC AVERAGING OF ENERGY ENVELOPE IN THE ANALYSIS OF RANDOM RESPONSE OF BILINEAR HYSTERETIC SYSTEM
Zhejiang University Zhu Weiqiu and Lei Ying.THE APPLICATION OF THE METHOD OF STOCHASTIC AVERAGING OF ENERGY ENVELOPE IN THE ANALYSIS OF RANDOM RESPONSE OF BILINEAR HYSTERETIC SYSTEM[J].Acta Aeronautica et Astronautica Sinica,1989,10(1):28-34.
Authors:Zhejiang University Zhu Weiqiu and Lei Ying
Institution:Zhejiang University Zhu Weiqiu and Lei Ying
Abstract:The method of stochastic averaging of energy envelope is applied to predict the response of bilinear hysteretic systems to white noise excitation. The statistics of stationary response for displacement, velocity and energy envelope as functions of excitation level, secondary slope and viscous damping are analyzed in detail. Comparisons with digital simulation show that the method is superior to other approximate methods which have been applied to random response of hysteretic systems.
Keywords:random excitation  bilinear systems  hysteresis  stochastic processes  
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