CAJ | 학술논문

为解决重整化群理论研究对象在理论上应具有无标度性(即原胞级数趋于无限大)，但实际工程中原胞级数不可能取很大这一问题，基于重整化群理论的逾渗模型、断层破裂分形树模型、岩石破碎模型、重力坝三棱柱结构破坏概率模型，开展有限原胞级数的破坏概率规律研究。研究表明，原胞级数即迭代次数取3可满足实际工程需要。提出基于三级原胞破坏概率值的实际结构整体安全性分级方法，并给出应用三棱柱模型判别重力坝结构整体安全性状态步骤。依据三级原胞破坏概率关键点、不动点将结构整体安全状态划分为3个级别：( a)Ⅰ状态，结构整体安全；(b)Ⅱ状态，结构整体安全性较低，结构整体由安全向破坏过渡，处于亚健康状态；(c)Ⅲ状态，结构整体破坏。
위해결중정화군이론연구대상재이론상응구유무표도성(즉원포급수추우무한대)，단실제공정중원포급수불가능취흔대저일문제，기우중정화군이론적유삼모형、단층파렬분형수모형、암석파쇄모형、중력패삼릉주결구파배개솔모형，개전유한원포급수적파배개솔규률연구。연구표명，원포급수즉질대차수취3가만족실제공정수요。제출기우삼급원포파배개솔치적실제결구정체안전성분급방법，병급출응용삼릉주모형판별중력패결구정체안전성상태보취。의거삼급원포파배개솔관건점、불동점장결구정체안전상태화분위3개급별：( a)Ⅰ상태，결구정체안전；(b)Ⅱ상태，결구정체안전성교저，결구정체유안전향파배과도，처우아건강상태；(c)Ⅲ상태，결구정체파배。
The study subject of the renormalization group theory is supposed to have a scaleless property in theory. In other words, the primitive cell level tends to be infinite. However, the level cannot be set at a very high value in actual engineering projects. In order to solve this problem, comparative studies of damage probability of limited primitive cell levels were carried out using the percolation model, the fault rupture model, the rock breaking model, and the structural damage probability model of a triangular prism unit for a gravity dam based on the renormalization group theory. The results of iterative computations show that level 3 of a primitive cell or three iterations can be applicable to actual engineering projects. A safety evaluation classification method for an overall structure is proposed based on the damage probability of a primitive cell of level 3. The steps of determing the overall safety of a gravity dam using the triangular prism model are presented. According to the key points and fixed points of the damage probability, three safety states of the overall structure were classified as follows: (a) a safe state; (b) an intermediate state, between safey and overall collapse; and (c) an overall collapse state.