摘要
为满足支撑板结构高强度和轻量化的设计需求,研究多约束下的形状优化问题。基于形状优化思想,建立支撑板结构的数学计算模型;推导目标函数及约束条件的灵敏度解析式,并建立结构形状优化的设计流程;对支撑板结构进行形状优化,并对优化结果模型进行有限元校核。设计结果表明:支撑板质量从39.18 g降低至28.56 g;孔附近最大应力由253.71 MPa减小为223.90 MPa;在减小支撑板质量的同时,有效提高结构强度。该方法将对其他带孔板材的结构设计有借鉴意义。
To meet the requirements for high stress and lightweight,the shape optimization method with multi-constraints is studied on supporting plate design.The mathematical model of shape optimization is built based on the shape optimization method.The procedure of calculating sensitivities of optimization objective and constraint function is presented in detail and the flow chart of shape optimization design of supporting plate is provided.The static stress of the optimized structure near the hole is analyzed and checked using the finite element method.The achieved results show that the plate mass reduces from 39.18 g to 28.56 g,while the maximum stress decreases from 253.71 MPa to 223.90 MPa,and the static performances with lots of mass cut are improved.This shape optimization design method will provide efficient help to other plate’s design with similar structure.
作者
付世欣
侯秀举
吴辉
FU Shixin;HOU Xiuju;WU Hui(Wuhan Marine Machinery Plant Co.,Ltd.,Wuhan 430084,China)
出处
《船舶工程》
CSCD
北大核心
2019年第S1期50-52,72,共4页
Ship Engineering
关键词
强度
轻量化设计
形状优化
支撑板
stress
lightweight design
shape optimization
supporting plate
