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正态相关变量主客观不确定性分离和参数影响分析
  • ISSN号：0459-1879
  • 期刊名称：《力学学报》
  • 时间：0
  • 分类：TB114.3[理学—概率论与数理统计;理学—数学;理学—应用数学]
  • 作者机构：[1]西北工业大学航空学院
  • 相关基金：国家自然科学基金(51175425);博士学科点专项科研基金(20116102110003)资助项目~~
作者： 吴丹清[1], 吕震宙[1], 程蕾[1]
关键词： 主观不确定性, 客观不确定性, 分布参数, 正交变换, 一阶方差贡献
中文摘要：

针对主观和客观不确定性同时存在且输入变量相关的结构系统,研究分析了分布参数的主观不确定性对系统输出响应的影响.首先采用正交变换进行了相关输入变量情况下主、客观不确定性的分离,通过引入独立标准正态空间辅助变量,使得分布参数的主观不确定性能够从输入变量客观不确定性中分离,进而分析分布参数的主观不确定性对输出响应的主效应指标.其次验证了分布参数对模型输出响应期望影响的一阶方差贡献与主、客观不确定性分离后其对响应量一阶方差贡献的相等关系.算例结果表明了文中所用主、客观不确定性分离方法的合理性和有效性.

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结构系统中主、客观不确定性的传播及重要性测度研究
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期刊信息
  • 《力学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编：魏悦广
  • 地址：北京市海淀区北四环西路15号中科院力学所内《力学学报》
  • 邮编：100190
  • 邮箱：lxxb@cstam.org.cn
  • 电话：010-62536271
  • 国际标准刊号：ISSN：0459-1879
  • 国内统一刊号：ISSN：11-2062/O3
  • 邮发代号:2-814
  • 获奖情况:
  • 1992年首届自然科技期刊一等奖,1996年国家自然科技期刊二等奖,2000年首届国家期刊奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,荷兰文摘与引文数据库,美国工程索引,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:13332