[1]魏泽丽,陈淮..简支梁随机特征值的探讨[J].郑州大学学报(工学版),2003,24(03):48-50.[doi:10.3969/j.issn.1671-6833.2003.03.013]
　WEI Zeli,Chen Huai.Discussion on the random eigenvalues of simple support beams[J].Journal of Zhengzhou University (Engineering Science),2003,24(03):48-50.[doi:10.3969/j.issn.1671-6833.2003.03.013]

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简支梁随机特征值的探讨()

分享到：

《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

24

期数:

2003年03期

页码:

48-50

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Discussion on the random eigenvalues of simple support beams

作者:

魏泽丽; 陈淮.

郑州大学土木工程学院,河南,郑州,450002, 郑州大学土木工程学院,河南,郑州,450002

Author(s):

WEI Zeli; Chen Huai

关键词:

传递矩阵方法;  随机参数;  特征值;  均值;  方差

Keywords:

Transfer matrix method;  random parameters;  eigenvalues;  mean;  Variance

DOI:

10.3969/j.issn.1671-6833.2003.03.013

文献标志码:

A

摘要:

根据具有不定参数的结构特征值Taylor展开式,推导出特征值随机变化的统计特性(均值、方差)计算公式.以具有随机参数的简支梁为例,运用摄动Riccati传递矩阵法,计算了简支梁在结构质量密度发生随机变化时结构特征值的统计特性,通过数值解和理论解的比较,验证该方法的适用性,利用该方法还计算了当简支梁截面抗弯刚度和长度分别发生随机变化时随机特征值的均值及方差,定量描述了具有随机参数的简支梁结构特征值的统计特性.

Abstract:

According to the Taylor expansion of structural eigenvalues with indefinite parameters, the statistical characteristics (mean, variance) calculation formula of random change of eigenvalues is derived. Taking the simple supported beam with random parameters as an example, the statistical characteristics of the structural eigenvalues of the simple supported beam when the mass density of the structure changes randomly by using the perturbation Riccati transfer matrix method are used to calculate the applicability of the method, and the mean and variance of the random eigenvalues when the flexural stiffness and length of the cross-section of the simple supported beam are randomly changed by using the method, and the statistical characteristics of the structural eigenvalues of the simple supported beam with random parameters are quantitatively described.

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