不同截面梁构件的刚度和稳定性优化设计

本文运用有限元分析与优化设计软件JIFEX，对五种常用截面梁结构的尺寸和形状进行了抗剪、抗弯、抗扭的刚度优化设计和在轴力、剪力作用下的结构稳定性优化设计。通过对优化设计的计算结果分析，得到了对工程设计有意义的若干结论。然后通过飞机结构中一种波形梁构件的优化，进一步讨论了波形梁的波数对结构稳定性和刚度的影响。

BUCKLING AND STIFFNESS DESIGN OPTIMIZATION OF BEAMS OF VARIOUS SECTIONS

The stiffness optimization subjected to the constraints of shear, bending, or torsion force, and the buckling optimization subjected to the constraints of axial and shear forces of beam structures with five kinds of commonly used cross sections are studied in the paper. The design variables include the sizes and the shape of beam cross-section, and the optimizations have been performed with JIFEX, a general-purpose software for the finite element analysis and design optimization. Some useful conclusions for engineering design are drawn by analyses of the computational results of design optimization. Additionally, a wave-shaped beam of aeroplane structure is optimized and the influence of wave number on the structural buckling stability and stiffness is discussed.