基于模态缺陷的变刚度复合材料圆柱壳屈曲特性

doi:10.13229/j.cnki.jdxbgxb20200715

Abstract

Abstract:

The buckling performance and imperfection sensitivity of variable stiffness cylindrical shells based on automatic placement technology are studied. Based on the tow shearing/refeeding technology， a simple algorithm that can accurately simulate the overlapping or defect area of the cylindrical shell surface is proposed to make the finite element model closer to the actual structure. A study was conducted on the effect of curved fiber layup on the buckling performance of cylindrical shells under combined loads. Combined with the Kriging model and genetic algorithm， the layup design method， in which the fiber angle changes linearly along the hoop direction and the axial direction， is optimized. The modified arc length method was used to analyze the imperfection sensitivity of composite stiffened cylindrical shells with different mode imperfections. The results show that under the combined action of axial pressure and uniform external pressure， the layering method， in which the fiber angle changes along the axial direction， can effectively improve the buckling performance of the structure. When the bandwidth is 25.4 mm，T₀=80，T₁=45， the buckling performance of the variable stiffness cylindrical shell is optimal， and the critical buckling load is increased by 70.9% and 34.5% compared to the reference configuration and to the constant stiffness optimal configuration. The imperfection sensitivity of the variable stiffness cylindrical shell is also improved compared to the quasi-isotropic layering method and to the optimal constant stiffness layering method. Variable stiffness design can make the cylindrical shell structure under combined load improve the structural buckling resistance and reduce the sensitivity to geometric imperfections.

Key words: composite materials, variable stiffness, buckling performance, mode imperfection, imperfection sensitivity

CLC Number:

TB332

Yu-xuan WEI,Ming ZHANG,Jia LIU,Shuo LIU,Ming-yu LU,Hong-yu WANG. Buckling performance of variable stiffness composite cylindrical shells based on mode imperfections[J].Journal of Jilin University(Engineering and Technology Edition), 2022, 52(1): 91-100.

Figures/Tables 16

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Table 1

Kriging model accuracy verification"

$T 0$ /（ $°$ ）	$T 1$ /（ $°$ ）	带宽50.8 mm				带宽38.1 mm				带宽25.4 mm
$T 0$ /（ $°$ ）	$T 1$ /（ $°$ ）	轴向K	轴向FEA	环向K	环向FEA	轴向K	轴向FEA	环向K	环向FEA	轴向K	轴向FEA	环向K	环向 FEA
20	62	32 130	32 141	34 126	34 185	32 423	32 412	34 514	34 475	33 027	33 038	34 834	34 957
10	17	26 340	26 179	25 858	25 795	26 331	26 209	25 856	25 796	26 339	26 214	25 817	25 801
60	65	42 520	43 565	43 385	43 990	42 668	43 972	43 370	44 635	42 884	44 350	43 472	45 386
74	39	51 044	49 459	40 781	40 401	52 623	51 098	41 456	40 937	55 927	54 227	42 269	41 663
46	15	34 101	34 323	31 592	31 501	34 833	35 074	31 770	31 811	35 430	35 799	32 326	32 148
$e m a x$ /%		3.2		1.4		3.0		2.8		3.3		4.2
$e a v g$ /%		1.4		0.6		1.4		0.9		1.6		1.3
$R 2$		0.99		0.99		0.99		0.99		0.99		0.98

Table 1

Table 2

Optimization results of variable stiffness cylindrical shell"

	带宽50.8 mm		带宽38.1 mm		带宽25.4 mm
	轴向	环向	轴向	环向	轴向	环向
$T 0$ /（ $°$ ）	79	77	80	77	80	77
$T 1$ /（ $°$ ）	47	61	47	62	45	61
$P c r$	53 244	47 716	55 822	48 404	60 280	49 333
$P c r F E A$	52 546	47 293	55 412	47 832	61 806	48 775
$e$ /%	1.3	0.9	0.7	1.2	2.5	1.1

Table 2

Fig.9

Fig.10

Table 3

Recommended parameters of geometric imperfection amplitude"

制造等级		$U n$
Class A	优秀	0.010
Class B	良好	0.016
Class C	普通	0.025

Table 3

Fig.11

Fig.12

Fig.13

References 23

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Buckling performance of variable stiffness composite cylindrical shells based on mode imperfections

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