动载荷激励下板壳结构加筋自适应成长方法

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (14) : 194-200.

论文

动载荷激励下板壳结构加筋自适应成长方法

董小虎，丁晓红

作者信息 +

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

DONG Xiaohu,DING Xiaohong

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文章历史 +

摘要

自适应成长法是基于自然界分支系统形态形成机理的一种高效结构拓扑优化设计方法。通过引入等效静态载荷法理论，运用自适应成长法解决板壳加筋结构在承受动载荷激励下的动态响应拓扑优化设计问题。根据板壳结构所受的动载荷边界条件，构建以动柔度为目标的优化数学模型，推导迭代公式，使板壳结构的加强筋从“种子”开始，沿着使结构最佳力学性能方向成长，从而形成最优加强筋分布形态。研究在简谐载荷和冲击载荷作用下的板壳结构加强筋设计例，并与静态载荷作用下的设计结果进行比较。研究结果表明，板壳结构在动态载荷作用下，其主加强筋布局形态和在静态载荷作用下相同，但在靠近载荷作用点附近出现与主加强筋平行的截面积较小的加强筋，以增加抵抗动态载荷的作用；而冲击载荷作用下的加强筋与一般简谐载荷作用下的加强筋相比，多出一层较复杂的框型筋板抵抗瞬时冲击力。

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.

导出引用

董小虎，丁晓红. 动载荷激励下板壳结构加筋自适应成长方法[J]. 振动与冲击, 2020, 39(14): 194-200

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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