摘要
随机场理论已在土坡、桩基、堤坝等工程中得到了成功的应用,但在地下洞室可靠度分析中的应用还未见报导。文中尝试将随机场理论引入地下洞室可靠度计算中,将煤层、顶板与底板弹性模量看作随机场,并用局部平均法进行离散;结合Monte Carlo随机有限元法编制了计算程序;然后,按是否考虑为随机场的4种情形,就洞室围岩弹模随机场对地下洞室稳定性的影响进行了研究。结果表明:①与不考虑顶板弹模随机场情形相比,顶板弹模随机场对地下洞室可靠度有着重要的影响,且这种影响不容忽视;②底板随机场对地下洞室可靠度的影响很小,计算时可不考虑;③在相关距离不大的情况下,地下洞室变形对弹性模量随机场的变异性很敏感;④地下洞室变形仅对较大的弹性模量随机场变异性比较敏感。
Random field theory has been used successfully in the engineering fields of soil slopes, pile foundations and dams, etc. Its application in the calculation of underground chambers, however, has not reported yet. Hence, the random field theory is introduced to the reliability calculation of the underground chamber. The elastic modules of coal seam, roof and bottom were looked upon as random fields, and these fields were discretized using the local average method. The calculation procedure was developed combining with the Monte Carlo stochastic finite element method ; and the effect of elastic modules random fields of the surrounding rocks on the reliability calculation of the underground chamber are analyzed. The results indicate that： （1） the random field of roof elastic modulus, comparing to unconsidering it, has a major impact on the reliability of underground chamber, and this can not be ignored; （2）the random field of bottom elastic modulus has little impact on the reliability of the underground chamber, and this can be ignored; （3）when the correlative distances are not large, the underground chamber is very sensitive to the variabilities of the these fields; （4） it is only sensitive to larger variabilities of these fields.
出处
《西安科技大学学报》
CAS
北大核心
2007年第2期214-217,223,共5页
Journal of Xi’an University of Science and Technology
关键词
弹性模量
随机场
地下洞室
可靠度
elastic modulus
random field
underground chamber
reliability
