模糊随机变量及其变分原理

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Fuzzy Stochastic Variable and Variational Principle

1.
College of Civil Engineering, Guangxi University, Nanning 530004, P R China;
2.
Institute of Aseismatic, Structure Wuhan University of Technology, Wuhan 430070, P R China

摘要: 从模糊事件的概率出发,定义了峰型模糊随机变量及其真值的期望概念。直接将参数的模糊随机性引入总势能泛函中,利用小参数摄动法建立了模糊随机变分原理。并阐明了它的应用。
- 变分原理 /
- 模糊随机 /
- 峰型模糊数
Abstract: In this paper the peaky fuzzy stochastic variable and its mean of real value were proposed besed on the concept of fuzzy probability.Fuzziness and randomness were introduced into the functional of overall potential energy.So the fuzzy stochastic variational principle and its application were presented by means of perturbation method.
- variational principle /
- fuzzy stochastic /
- peaky fuzzy number

[1]	杨绿峰.模糊随机有限元法及其应用[D].博士学位论文. 武汉:武汉工业大学,1998.
[2]	李桂青等.结构动力可靠性理论及应用[M]. 北京:地震出版社,1993.