基于仿生原理的板壳结构加强筋优化设计  

Optimization Design of Reinforcement Ribs for Plate and Shell Structures Based on Biomimetic Principles

作　　者：薛文彬 倪维宇 张横[2] 姚胜卫 XUE Wenbin;NI Weiyu;ZHANG Heng;YAO Shengwei(Centre of Public Experiment,Shanghai 200093,China;School of Mechanical Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学公共实验中心,上海200093 [2]上海理工大学机械工程学院,上海200093

出　　处：《包装工程》2024年第13期308-316,共9页Packaging Engineering

基　　金：国家自然科学基金(52005337)。

摘　　要：目的加强筋的合理分布可有效提升结构抗振性,为了提高板壳结构的抗振性能,本文基于仿生原理,以板壳加强筋分布为研究目标,进行动力学的优化与设计研究。方法采用自适应成长法,通过引入等效静态载荷法,建立以动柔度为目标的加强筋分布优化模型,推导出基于准则法的设计变量迭代更新公式,分别研究单点激励和多点不同动态载荷作用下板壳结构的加筋分布设计,并研究单点激励和多点不同动态载荷激励下的板壳加筋结构特性。结果研究结果表明,板壳结构加强筋采用仿生原理对其分布进行优化,可实现任意动态载荷作用下加强筋分布的设计,且优化的加强筋形态分布清晰,无须再处理即可应用到加强筋的生产制造中。结论根据对不同约束的板壳结构进行优化设计,通过加强筋的设计,提升了板壳结构的抗振性能。The reasonable distribution of reinforcement ribs can effectively improve the vibration resistance of the structure.The work aims to study the dynamic optimization design of reinforcement rib distribution in plate and shell structures based on biomimetic principles to improve the vibration resistance of plate and shell structures.A reinforcement rib distribution optimization model with dynamic flexibility as the objective was established by adopting the adaptive growth method and introducing the equivalent static load method,to derive a design variable iterative update formula based on the criterion method.The reinforcement rib distribution design of plate and shell structures under single point excitation and multi-point different dynamic loads was studied,and the structural characteristics of reinforcement ribs under single point excitation and multi-point different dynamic loads were investigated.The research results indicated that the distribution optimization of reinforcement ribs in plate and shell structures based on biomimetic design could achieve the design of reinforcement ribs under any dynamic load,and the optimized reinforcement ribs had clear shape distribution,and could be applied to the manufacturing of reinforcement ribs without further treatment.According to the optimization design of plate and shell structures with different constraints,the vibration resistance of plate and shell structures is improved through the design of reinforcement ribs.

关 键 词：板壳结构 仿生设计 加强筋 优化设计 

分 类 号：TB482[一般工业技术—包装工程] TH113.1[机械工程—机械设计及理论]