基于模糊随机损伤力学的模糊自适应有限元分析

为延拓非确定损伤理论研究以揭示损伤力学本质,基于损伤、概率、模糊隶属度在[0,1]区间上协调一致性提出模糊随机损伤力学观念.构造解释了3类损伤变量模糊性态及对应模糊映射分布,即降半分布、"秋千"分布和组合"秋千"分布,实现了随机损伤变量模糊化自适应生成与构建.依据扩张原理及随机损伤变量满足β概率分布,对模糊集上随机损伤变量的CDF、PDF积分修正,结合当量正态理论,将3类模糊随机损伤泛函引入本构方程,完成模糊随机有限元可靠度与模糊随机损伤同步分析.用自主研制分析软件对龙滩碾压混凝土坝做三维模糊随机损伤场力学性态研究,由复杂随机场与模糊随机损伤分析的成功融合证明分析方法是适用的、可行的、必要的.

Fuzzy self-adapting finite element method based onFuzzy stochastic damage mechanics

Fuzzy stochast ic damage mechanics dev elo pment original model was int roduced to disco ver theessent ial of damage mechanics w ith damag e uncertainty øs proper expansion based on the harmony o f damageco ncept io n, probability , fuzzy degree of membership on [ 0, 1] scale. T hree damag e v ariablesø fuzzydef init io n status and the corr espo nding fuzzy mapping dist ribut ions w ere formulated, namely , hal f depresseddist ribut ion, sw ing dist ribut ion and combined sw ing dist ribut ion, by w hich the stochast ic damagevariablesø fuzzy process was realized during adapt ive generat ion. According to the ex pansion theor y andthe Bprobabilistic dist ribut ion, CDF and PDF of fuzzy stochast ic damage variables w ere adjusted. Based onthe equivalent normalizat io n theory , the model was clarified by the int roduction o f the three fuzzy sto chasticdamage funct io nals into the const itut io nal model and then the reliability and the fuzzy stochast ic damagew er e analyzed o n the basis o f the fuzzy sto chast ic f inite element method. 3-dimension fuzzy stochast ic damagemechanical status of the numerical model o f Longtan ro lled-co ncrete dam w as researched by the selfdevelopedfuzzy stochast ic damage finite element method. Compat ible applicat ion of the comprehensiverandom f ield study and the fuzzy stochast ic damage mo del research pro ves that all of the w ork are applicable,viable and essential.