Study on Structural Optimization Design of a Certain Type Wing Spar
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摘要: 在进行某型飞机机翼翼梁设计时,在翼梁拓扑优化中,基于有限元分析方法建立了以翼梁腹板的最小柔顺度为目标函数、以体积分数为约束条件、腹板单元密度为设计变量的数学模型,通过对翼梁腹板进行拓扑优化获得了翼梁刚度提升的结构形式;在翼梁尺寸优化中,建立了以翼梁体积最小为目标函数、以梁的许用应力为约束条件、单元厚度为变量的数学模型,并进行了主梁/后梁结构的尺寸优化。优化后主梁、后梁结构减重分别达26.5%及27.7%,一阶频率分别从1.17 Hz和4.34 Hz增加至2.26 Hz和4.59 Hz。初步实现了机翼翼梁结构的轻量化设计目标。Abstract: In the design of a certain type of airfoil,topology optimization and size optimization are used to reduce the weight of the spar. Based on the finite element method, the structure stiffness is improved by using the topology optimization with the minimal compliance of the spar as the objective function, the plate volume fraction as the constraint, the plate cell density as the design variable. By taking the volume of spar as objective function, the allowable stress of the spar as constraint and web thickness as design variable, size optimization are conducted for the main spar and the rear spar. Their weights was reduced by 26.5% and 27.7%, respectively. And their first natural frequencies are increased from 1.17 Hz and 4.34 Hz to 2.26 Hz and 4.59 Hz, respectively. The light weight design of the spar structures is achieved.
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Key words:
- finite element method /
- topology /
- optimization /
- natural frequencies
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