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一类非线性系统随机振动的等效线性化
引用本文:彭解华 陈树年. 一类非线性系统随机振动的等效线性化[J]. 振动与冲击, 1995, 14(1): 30-35
作者姓名:彭解华 陈树年
作者单位:邵阳师专,湖南大学
摘    要:
本文根据机械振动系统中弹性力、阻尼力只决定于弹性元件的变形和阻尼元件的相对速度的特点,建立了一种处理一类多自由度非线性系统随机振动的新方法。此方法物理意义明确,计算量小,是处理这类非线性系统随机振动行之有效的方法。

关 键 词:非线性系统;随机振动;相对坐标;等效线性刚度;等效线性阻尼

EQUIVALENT LINEARIZATION TECHNIQUE TO A CLASS OF NON-LINEAR MULTI-DEGREE OF FREEDOM SYSTEM
Peng Jiehua,Chen Shunian,Chen Hongwu. EQUIVALENT LINEARIZATION TECHNIQUE TO A CLASS OF NON-LINEAR MULTI-DEGREE OF FREEDOM SYSTEM[J]. Journal of Vibration and Shock, 1995, 14(1): 30-35
Authors:Peng Jiehua  Chen Shunian  Chen Hongwu
Affiliation:Peng Jiehua;Chen Shunian;Chen Hongwu (Shaoyang Teacher's College) (Hunan University)
Abstract:
Based on the mechanic vibration system's characteristic that it's elastic forces are only de pendent on deformations of elastic elements and damping forces only on relative velocity of damp ing elements,a new equivalent linearization technique to a class of non-linear multi-degree of freedom system's random vibration is established in this paper. Because its physical meaning is clear and its calculation is simple the method is an effective way for dealing with random vibration of non-linear multi-degree of freedom systems.
Keywords:Nen-linear system  Random vibration  Relative coordinate  Equivalent lineariza tion stiffness  Equivalent linearization damp.  
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