复合材料加筋板剪切后屈曲分析与优化设计

doi:10.7527/S1000-6893.2015.0329

固体力学与飞行器总体设计

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复合材料加筋板剪切后屈曲分析与优化设计

王燕¹, 李书¹, 许秋怡¹, 马骏²

1. 北京航空航天大学航空科学与工程学院, 北京 100083;
2. 北京航空航天大学大型飞机高级技术人才培训班, 北京 100083

收稿日期:2015-06-16 修回日期:2015-12-05 出版日期:2016-05-15 发布日期:2015-12-14
通讯作者: 李书,Tel.:010-82314622 E-mail:lishu@buaa.edu.cn E-mail:lishu@buaa.edu.cn
作者简介:王燕,女,硕士研究生。主要研究方向:结构优化设计,复合材料结构分析与设计。Tel:010-82316579 E-mail:ywbuaa@gmail.com;李书,男,博士,教授,博士生导师。主要研究方向:结构动力学设计,结构优化设计,复合材料结构分析与设计。Tel:010-82314622 E-mail:lishu@buaa.edu.cn;许秋怡,女,硕士研究生。主要研究方向:结构优化设计,复合材料结构分析与设计。 E-mail:xxqqyy@126.com;马骏,男,硕士研究生。主要研究方向:大型飞机结构分析与设计。 E-mail:buaa_majun@163.com
基金资助:
国家"863"计划(2012AA112201)

Optimization design and analysis of stiffened composite panels in post-buckling under shear

WANG Yan¹, LI Shu¹, XU Qiuyi¹, MA Jun²

1. School of Aeronautic Science and Engineering, Beihang University, Beijing 100083, China;
2. Large Aircraft Advanced Training Centre, Beihang University, Beijing 100083, China

Received:2015-06-16 Revised:2015-12-05 Online:2016-05-15 Published:2015-12-14
Supported by:
National High-tech Research and Development Program of China (2012AA112201)

摘要/Abstract

摘要：

为了充分利用复合材料加筋板的后屈曲承载能力,针对复合材料加筋板的后屈曲行为开展优化设计方法的研究具有重要意义。详细探讨了筋条尺寸及密度等参数对承受面内剪切载荷作用下的复合材料双向加筋板屈曲后屈曲的影响规律。建立了复合材料加筋板考虑后屈曲响应的结构分级优化方法:在一级优化中以结构几何尺寸为设计变量,使用响应面法(RSM)拟合出结构后屈曲响应的全局近似函数,结果显示,加筋缘条的宽度及加筋的密度对屈曲承载能力有重要影响;在二级优化中采用遗传算法(GA)对复合材料铺层顺序进行优化,经过两级优化后的复合材料加筋板相比于初始设计在质量减少了3%的同时,线性屈曲位移提高了8.86倍,线性屈曲模态由局部屈曲改善为整体屈曲,同时结构的后屈曲承载能力提高了8.7%。基于解决旅行商问题(TSP)的遗传算法被调整用于固定铺层厚度的复合材料铺层顺序优化问题,经优化,结构线性屈曲特征值提高了12.76%,表明了优化方法的可行性。

关键词: 复合材料加筋板, 后屈曲, 面内剪切, 分级优化, 响应面法, 遗传算法

Abstract:

In order to make full use of post-buckling load-bearing capacity of stiffened composite panel, it is meaningful to carry out research about the optimization strategy of stiffened composite panel especially in terms of its post-buckling behavior. The geometry parameter's influence on the buckling and post-buckling behavior of a bidirectional stiffened composite panel under in-plane shear is discussed in detail in this paper. Multi-level optimization including post-buckling capacity for composite stiffened panels under in-plane shear is presented in this article. In the 1st stage optimization, the geometry parameters are chosen as the design variables and the response surface method (RSM) is utilized to establish the global approximate function of the structure's post-buckling response. Results showed that the width and density of the stiffeners have important influence on the buckling bearing capacity. In the 2nd stage optimization, genetic algorithm (GA) is applied to optimize the stack sequence of the composite plies. The optimized structure shows a level of buckling displacement 8.86 times higher than that observed in the original panel and the mass decreased by 3% at the same time. The buckling mode transforms from early local buckling to global buckling, and the ultimate load capacity has also improved by 8.7% at the same time. Genetic algorithm dealing with the traveling salesman problem (TSP) is modified to solve the stack sequence optimization problem with fixed thickness. The optimized buckling eigenvalue has improved by 12.76%, which proves the validity and feasibility of the algorithm.

Key words: stiffened composite panel, post-buckling, in-plane shear, multi-level optimization, response surface method, genetic algorithm

中图分类号:

V257
TB21

王燕, 李书, 许秋怡, 马骏. 复合材料加筋板剪切后屈曲分析与优化设计[J]. 航空学报, 2016, 37(5): 1512-1525.

WANG Yan, LI Shu, XU Qiuyi, MA Jun. Optimization design and analysis of stiffened composite panels in post-buckling under shear[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(5): 1512-1525.

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复合材料加筋板剪切后屈曲分析与优化设计

Optimization design and analysis of stiffened composite panels in post-buckling under shear

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