Optimal stiffener layout design for plate and shell structures under dynamic load based on the adaptive growth method

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (14) : 194-200.

DONG Xiaohu,DING Xiaohong

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Abstract

The adaptive growth method (AGM) based on the growth fractal mechanism of branch systems in nature is a high-efficiency topology optimization method.The equivalent static load method (ESLM) was introduced to solve the dynamic response topology optimization of plate and shell structures under dynamic load.According to the boundary conditions of dynamic load, a mathematical model for the dynamic mobility optimization was established, and an iteration formula was derived.The stiffeners connected with the “seeding” was able to either grow or degenerate along the direction of the best overall mechanical property, and an optimum stiffeners layout was obtained finally.The results show that the main layout of stiffeners is the same under either static or dynamic loads.However, some small stiffeners are formed, which are close to the loading point and parallel to the main stiffeners, so as to more favorably transfer and share the load.

Key words

dynamic load / adaptive growth method (AGM) / stiffener layout optimization / plate and shell structures / dynamic response

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DONG Xiaohu,DING Xiaohong. Optimal stiffener layout design for plate and shell structures under dynamic load based on the adaptive growth method[J]. Journal of Vibration and Shock, 2020, 39(14): 194-200

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