在役抗震结构的最小费用维修策略优化方法

Optimization Method of Maintenance Strategy for Existing Aseismatic Structure Based on Minimal Maintenance Expenses

为解决在役抗震结构的最佳维修策略问题,采用马尔柯夫过程理论,综合考虑结构的破坏程度、维修费用等因素,以最小维修费用为目标函数建立了抗震结构最佳维修策略的数学模型。将抗震结构所处状态分为5种,相应的维修策略分为“单一状态”、“两种状态”、“三种状态”。根据结构所处的当前状态,分析其状态转移概率矩阵,通过求解抗震结构最小维修费用,进行抗震结构维修策略的优化分析。结果表明,在进行维修决策时,仅仅考虑“单一状态”的维修策略是不合理的,应根据具体情况考虑多种维修策略。

In order to solve the problem of optimal maintenance strategy for existing aseismatic structure, on the basis of Markov theory and comprehensively considering such factors as the damage degree of structure, maintenance expense, etc., the authors establish a mathematic model determining the optimal maintenance strategy with the minimum maintenance expense as the target function. The state of aseismatic structure can be divided into five sorts. The corresponding maintenance strategy is also classified as 'single state', 'two states' and 'three states'. According to the current state of structure, the state transition probability matrix can be analyzed. Through resolving the minimum maintenance expense of aseismatic structure, its optimal maintenance strategy can be analyzed. In the decision of maintenance, it is unreasonable only to consider 'single state'. Different maintenance strategy should be adopted according to different states.