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本文应用数学规划方法分析了柔性路面的結构组合设计,建立了用非线性规划方法进行柔用路面結构优化设计的数学模型。该模型的建立是以《公路柔性路面设计规范》(JTJ014—86)为依据的。数学模型以路面結构总造价最低为目标函数。可以考虑結构层最小厚度约束、最大厚度约束、路面结构最小抗冻厚度约束以及路表弯沉约束和结构层弯拉应力约束。运用Flexiplex Tolerance方法成功地求解了数学模型的最优解。根据数学模型和Flexip1ex Tolerance方法原理编制的计算机程序(FPOD-1)已分别在DPS-8中型机和IBM微机上调试通过。经计算表明,该方法和计算机程序与已有的随机搜索法相比较具有收敛速度快,精度高的优点。
In this paper, the structural design of flexible pavement is analyzed by mathematical programming method, and the mathematical model of optimal design of flexible pavement structure by nonlinear programming is established. The establishment of this model is based on the “Code for Design of Flexible Roads on the Highway” (JTJ014-86). The mathematical model takes the pavement structure with the lowest total cost as the objective function. The minimum thickness constraint, the maximum thickness constraint, the minimum frost resistance thickness constraint of the pavement structure and the deflection restraint of the road surface and the bending stress of the structural layer can be considered. The optimal solution to the mathematical model is successfully solved by using Flexiplex Tolerance method. A computer program (FPOD-1) based on the mathematical model and Flexiplex Tolerance methodology has been debugged on the DPS-8 and IBM microcontrollers respectively. The calculation shows that the method and the computer program have the advantages of fast convergence and high precision compared with the existing random search method.