| 李胡生,熊文林.岩土工程稳定性有限元分析的随机-模糊可靠度算法[J].水利学报,2006,37(10):1235-1241 |
| 岩土工程稳定性有限元分析的随机-模糊可靠度算法 |
| On the calculation method of the random-fuzzy reliability in FEM analysis of geotechnical engineering stability |
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| DOI： |
| 中文关键词: 岩土力学 模糊可靠度 有限单元法 |
| 英文关键词: rock mechanics fuzzy reliability finite element method |
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| 中文摘要: |
| 岩土工程材料的物理力学特性的空间变异性决定了其物理力学特性参数同时包含着随机性和模糊性，是典型的随机-模糊变量。本文将模糊理论、信息理论、计算技术与岩土力学相结合，给出了岩土工程稳定性的随机-模糊可靠度的计算方法。该方法考虑了输出、输入数据的随机-模糊性，通过求取岩土材料物理力学特性参数的随机-模糊数字特征及概率分布，进而求得应力的随机-模糊数字特征，并引入安全裕度的隶属函数，依此计算出岩土工程的随机-模糊可靠度。最后通过算例验证了该方法可行。 |
| 英文摘要: |
| Geomechanical parameters are the foundation of FEM analysis of geotechnical engineering stability. Their spatial variation make them possessing random uncertainty and fuzzy uncertainty. The traditional FEM analysis method considers that these parameters are invariables and the random FEM considers that they are random variables. Obviously, the theoretical logic of the current FEM analysis of geotechnical engineering stability is non coincident with engineering
reality because the random fuzzy variables are considered to be invariables or random variables. In this paper, geomechanical parameters are considered to be random fuzzy variables. The method for calculating the random——fuzzy reliability in FEM Elasto Plastic analysis of geotechnical engineering stability is given by combining Fuzzy Theory Information Theory and Computational Technique with Geomechanics, including the numerical characteristic value and probability distribution of geomechanical parameters, computed stress as well as safety function. A calculated example testifies the correctness and the applicability of the method. |
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