结构动态优化的状态空间混合法

State Space Hybrid Method of Structural Dynamic Optimization

本文提出了一种新的动态优化方法——状态空间混合法。它以梯度投影法为基础将数学规划法和优化准则法结合起来,推导了迭代方程式,确定了加权矩阵和迭代步长的表达式。作者研制了这种算法的通用计算机程序,给出了计算实例结果,并以槽钢作柱、厚钢板作梁,设计制作了原始和优化框架模型,对模型进行了稳态正弦激振试验和瞬态脉冲激振试验。计算和试验表明,该算法收敛快,计算精度高,通用性好,有实用价值。

Based on gradient proje(?)n algorithm, a new kind of dynamic optimization method called state space hybrid method is presented. Combining mathematical programming with optimality criterion, the iterative equations are derived, and the weighting matrix and the formula of itertive step are determined. A FORTRAN 77 program is made for theoretical computation. Taking notched steel as column and thick plate as beam, an initial and an optimal frame model are designed. The models are tested by sine excitation and pulse excitation. The computing and testing results show that the hybrid algorithm has rapid convergence, high accuracy and is satisfactory in common use. The hybrid algorithm is useful for practical purposes.