杜成斌, 赵光恒. 求解非线性随机振动的一种新的加权等价线性化方法[J]. 工程力学, 1992, 9(2): 12-22.
引用本文: 杜成斌, 赵光恒. 求解非线性随机振动的一种新的加权等价线性化方法[J]. 工程力学, 1992, 9(2): 12-22.
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Du Chengbin, Zhao Guangheng. A NEW WEIGHTED EQUIVALENT LINEARIZATION TECHNIQUE FOR THE SOLUTION OF NONLINEAR RANDOM VIBRATION[J]. Engineering Mechanics, 1992, 9(2): 12-22.
Citation: Du Chengbin, Zhao Guangheng. A NEW WEIGHTED EQUIVALENT LINEARIZATION TECHNIQUE FOR THE SOLUTION OF NONLINEAR RANDOM VIBRATION[J]. Engineering Mechanics, 1992, 9(2): 12-22.
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求解非线性随机振动的一种新的加权等价线性化方法

A NEW WEIGHTED EQUIVALENT LINEARIZATION TECHNIQUE FOR THE SOLUTION OF NONLINEAR RANDOM VIBRATION

    摘要
  • 摘要: 本文提出了一种新的权函数,由此构成一种加权等价线性化方法,借助几种常见类型的非线性振动系统进行了计算,结果表明与一般的等价线性化方法或其它加权方法相比,利用建议的方法所得的均方响应与精确解或蒙特卡罗(Monte Carlo)法的数值解之间具有较好的一致性,并有更高的精度。

     

    Abstract: A new weighting function is suggested in this paper, and with help of it a new weighted equivalent linearization technique is presented.The numerical results of several kinds of nonlinear random vibration systems show that the mean square responses of the proposed approach are much closer to the exact solutions or Monte Carlo solutions, than that obtained from the other methods.

     

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