基于仿生扩散生长驱动的加筋板壳抗屈曲拓扑设计

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关键词：加筋薄壳；扩散式生长；结构拓扑；线性屈曲分析；基结构法中图分类号：TB472；TP31DOI：10.3969/j.issn.1004-132X.2026.02.020 开放科学（资源服务）标识码（OSID）：

Buckling Topological Design of Reinforced Plate/Shell Based on Bionic Diffusion Growth-driven Method

JIANG Xuetao YANG Yong* ZHU Jihong FENG Hao PAN Shunyang School of Mechanical Engineering， Suzhou University of Science and Technology，Suzhou， Jiangsu，215009

Abstract： To overcome the limitations of insuficient design spaces in existing Bio-inspired reinforcedplate design（BRD） methods resulting from the modeling strategy of the ground structure method （GSM）， a diffusion-based growth scheme inspired by the vein growth patterns of plants was proposed. The scheme simulated the formation processes of plant venation to identify eficient stiffner layouts that enhanced the buckling load-bearing capacity of the structure. An improved optimization modeling framework was adopted，using S9R5 Shell elements and B32/B31 beam elements to simulate the plate（leaf）and stiffners （veins）respectively. A scheme of node pre-storage and reserve/updating employed to expand the flexibility of stiffeners by increasing the updating-range of active nodes. Rectangular thin plates were investigated as representative examples， buckling analyses under various parameters，boundary conditions（SSSS and SFSF），and loading cases were conducted to validate the efectiveness of the proposed method. The numerical results demonstrate that the difusion-based growth scheme yields more eficient and clearer stiffener layouts compared to existing growth strategies.

Key words：reinforced shell；difusion-driven growth；structure topology；linear buckling analysis ground structure method

0 引言

薄壁板壳因能在结构轻量化的前提下保留结构的完整性、有利于结构功能的实现而广泛应用于航空航天、船舶和汽车工程领域[1]，如飞机机翼、船体结构和太阳能电池板[2。（剩余23190字）