杆系结构灵敏度分析及其在设计中的应用

Sensitivity analysis of frame structures and its applicationsto structural design

研究用伴随变量法进行杆系结构的灵敏度分析．采用与有限元分析相同的离散方式，推导了伴随变量法的基本计算公式；以位移和应力为约束、截面参数为设计变量，详细分析了应用基本公式进行杆系结构灵敏度计算的各个步骤．实例分析证明了伴随变量法易于操作、高效、高精度的特点和灵敏度信息对提高结构设计效率所起的重要作用．

Sensitivity analysis of frame structures is investigated by using adjoint variable method (AVM). Using the same discretization for finite element analysis and sensitivity analysis, general formulations of adjoint variable method are presented. The implementation of AVM for sensitivity analysis of frame structures is elaborated with displacement and stress as constraints and crosssectional coefficients as design variables. Sensitivity analysis of a grid structure is given to demonstrate the facility, efficiency and accuracy of AVM, and the important role of sensitivity in improving structural design rationally.