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本文提出多工况条件下拱轴外形的优化准则及该准则意义下构造最优拱轴线的一类方法——多工况压力线法。通过对有限多条最不利荷载组合工况压力线的逼近提出最优拱轴线二次规划数学模型,给出该模型适于电算的矩阵显式和解的收敛性分析并讨论了模型的解法,给出一个算例,本文给出的优化准则和方法及数学模型适用于荷载作用条件复杂的大型拱结构,具有一定的普遍意义,给出的数学模型具有良好的性态。
In this paper, the optimization criteria of the arch shaft under multi-operating conditions and the method of constructing the optimal arch axis in the sense of the criterion are presented as the multi-state pressure line method. The optimal quadratic arch quadratic programming mathematical model is proposed by approximating the pressure lines of a limited number of the most unfavorable load combinations. The convergence of the matrix explicit solution and the solution to the computation are given and the solution of the model is discussed. An example is given. The optimization criteria and methods given in this paper and the mathematical model are suitable for large-scale arch structures with complex loading conditions. It has certain universal significance and the given mathematical model has good behavior.