Multi-Scale Reliability-Based Design Optimization of Three-Dimensional Orthogonal Woven Composite Fender

doi:10.16183/j.cnki.jsjtu.2019.283

Abstract

Abstract:

Three-dimensional orthogonal woven composites have excellent mechanical properties and delamination resistance, which have a bright future in the application of automotive lightweight. A prediction model of elastic properties for three-dimensional orthogonal woven composites was established based on the analytical micromechanical method. The macro-scale performances of the fender were analyzed by using the finite element method. The Monte Carlo reliability analysis method, the Kriging surrogate mode, and the particle swarm optimization algorithm were adopted to conduct multi-scale reliability-based design optimization of a composite structure, which involves the uncertainties of material and structural design variables. The results show that the optimized fender meets the requirments of structural stiffness and reliability, and it also achieves a weight reduction of 21.93%.

Key words: three-dimensional orthogonal woven composite (3DOWC), automobile fender, Kriging surrogate model, multi-scale simulation, reliability-based design optimization (RBDO)

CLC Number:

U465.6

TAO Wei, LIU Zhao, XU Can, ZHU Ping. Multi-Scale Reliability-Based Design Optimization of Three-Dimensional Orthogonal Woven Composite Fender[J]. Journal of Shanghai Jiao Tong University, 2021, 55(5): 615-623.

Figures/Tables 14

Fig.1

Tab.1

Tab.2

Tab.3

Fig.2

Fig.3

Tab.4

Performance indicators of fender

工况		约束条件	可靠度
工况1	安装点1	$k i mp$ ≥50 N/mm, i=1,2,3,4	ρ≥95%
	安装点2
	安装点3
	安装点4
工况2	外板刚度	k^m≥100 N/mm
工况3	翼尖1	$k j ft$ ≥300 N/mm, j=1,2,3
	翼尖2
	翼尖3

Tab.4

Fig.4

Tab.5

Fig.5

Tab.6

Tab.7

Fig.6

Tab.8

Verification of performance indices and reliability of optimal solution

性能指标	约束	初始设计				确定性优化				可靠性优化
性能指标	约束	性能均值		可靠度/%		性能均值		可靠度/%		性能均值	可靠度/%
安装点1刚度	$k i mp$ ≥50 N/mm, i=1,2,3,4	80.3	100		51.4		58.2		55.0		96.9
安装点2刚度		86.9	100		54.0		89.9		58.9		99.8
安装点3刚度		159.1	100		52.8		64.6		57.2		97.9
安装点4刚度		145.4	100		51.2		60.3		55.7		98.5
外板刚度	k^m≥100 N/mm	334.2	100		113.6		97.7		127.4		99.2
翼尖1刚度	$k j ft$ ≥300 N/mm, j=1,2,3	865.1	100		316.2		69.5		349.7		99.7
翼尖2刚度		747.4	100		307.1		54.2		330.7		97.0
翼尖3刚度		2815.2	100		1105.2		100		1216.5		100

Tab.8

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纤维束	高度/mm	宽度/mm	纤维体积分数/%	间距/mm	层数
经向	0.36	1.10	58.33	2	4
纬向	0.24	1.52	63.32	2.5	5

物理量	试验结果	预测结果	误差/%
经向模量/GPa	39.28	39.32	0.1
纬向模量/GPa	37.56	38.80	3.2

设计变量	变量描述	下限	上限	概率分布	变异系数/%
x₁	经向纤维束间距/mm	2	4	高斯	2
x₂	纬向纤维束间距/mm	2.5	4.5	高斯	2
x₃	厚度/mm	2.4	4.8	高斯	2
x₄	外板铺设角度/(°)	0	90	高斯	2
x₅	安装点1附加宽度/mm	0	15	高斯	2

设计变量	变量描述	初始设计	确定性优化	可靠性优化
x₁	经向纤维束间距	2	3.59	3.27
x₂	纬向纤维束间距	2.5	3.07	2.87
x₃	厚度	3.6	3	3
x₄	外板铺设角度	0	50.50	55.75
x₅	安装点附加宽度	0	12.12	14.50