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工程修正计算方法

张庆茂 陈金睿 孔斌 白瑞祥 黄晓笛 刘文豪

张庆茂, 陈金睿, 孔斌, 等. 工程修正计算方法[J]. 复合材料学报, 2021, 39(0): 1-10
引用本文: 张庆茂, 陈金睿, 孔斌, 等. 工程修正计算方法[J]. 复合材料学报, 2021, 39(0): 1-10
Qingmao ZHANG, Jinrui CHEN, Bin KONG, Ruixiang BAI, Xiaodi HUANG, Wenhao LIU. Local buckling updating engineering method of hat-stiffened composite panel based on flexural stiffness ratio[J]. Acta Materiae Compositae Sinica.
Citation: Qingmao ZHANG, Jinrui CHEN, Bin KONG, Ruixiang BAI, Xiaodi HUANG, Wenhao LIU. Local buckling updating engineering method of hat-stiffened composite panel based on flexural stiffness ratio[J]. Acta Materiae Compositae Sinica.

工程修正计算方法

基金项目: 民机科研项目(MJ-2015-F-038)
详细信息
    通讯作者:

    陈金睿,硕士研究生,工程师,研究方向为复合材料结构设计 E-mail: chenjinrui666@126.com

  • 中图分类号: TB332

Local buckling updating engineering method of hat-stiffened composite panel based on flexural stiffness ratio

  • 摘要: 为提高复合材料帽形加筋板蒙皮局部屈曲的工程分析方法精度,对典型复合材料帽形加筋板进行了轴压稳定性试验,提出了一种基于弯曲刚度比的复合材料帽形加筋板局部屈曲工程简化分析修正方法,所预测的屈曲载荷与轴压稳定性试验值误差在3%以内。采用有限元方法以及本文方法对两种构型的带筋条下缘条帽形加筋板进行了对比分析,本文方法与有限元计算误差在10%以内,表明本文提出的修正方法合理有效,满足工程精度要求。采用工程简化分析方法、能量法以及本文方法对公开文献的试验数据进行了对比分析,结果表明采用本文方法可将工程简支屈曲分析误差和工程固支屈曲分析误差分别从41.5%、5.3%降低至3.8%,为复合材料帽形加筋板结构初步设计与分析提供了一种新的快速分析思路。

     

  • 图  1  复合材料帽形加筋板试件示意图

    Figure  1.  Sketch of hat-stiffened composite panel specimens

    Unit: mm

    图  2  帽形筋条截面尺寸参数

    Figure  2.  Sectional dimensions of hat stiffener

    Unit:mm

    图  3  复合材料帽形加筋板轴压试验照片

    Figure  3.  Photo of test of hat-stiffened composite panel under axial compression

    图  4  试件贴片示意图

    Figure  4.  Sketch of strain gauge

    图  5  复合材料帽形加筋板试件载荷-应变曲线

    Figure  5.  Load-strain curves of hat-stiffened composite panel specimens

    图  6  复合材料帽形加筋板有限元网格及屈曲模态(以1#试件为例)

    Figure  6.  Mesh and buckling mode of finite element model(FEM) of hat-stiffened composite panel (Specimen 1# for example)

    图  7  正交各向异性矩形平板的轴压K-λ曲线

    Figure  7.  Axial compression K-λ curves of Orthotropic Rectangular Plates

    图  8  两类帽形加筋板有限元模型示意图

    Figure  8.  Sketch of finite element models of two kinds of hat-stiffened panels

    图  9  帽形加筋板截面尺寸参数示意图

    Figure  9.  Cross section of hat-stiffened panel

    图  10  两类帽形加筋板的一阶屈曲模态

    Figure  10.  First order buckling modes of two kinds of hat-stiffened panels

    图  11  三筋条带横框的复合材料帽形加筋板外形示意图

    Figure  11.  Sketch of composite hat-stiffened panel with three stiffeners and two frames

    Unit:mm

    表  1  单层材料参数

    Table  1.   Lamina material parameters

    MaterialE11/GPaE22/GPaG12/GPaν12
    X850162.09.14.60.331
    Notes:E11—Elastic modulus in fiber direction; E22—Elastic modulus transverse fiber direction; ν12—Poisson’s ratio; G12—Shear modulus.
    下载: 导出CSV

    表  2  应变片编码方法

    Table  2.   Coding method of strain gauge

    Coding locationCoding meaningCoding method
    First numberSpecimen number1—Specimen 1#;2—Specimen 2#
    Second numberPart type1—Skin; 2—Stiffener
    Third numberRow number of strain gauge5 rows on skin, 5 rows on stiffeners, 2 rows on 2 frames, counting from up to down respectively
    Fourth numberColumn number of strain gauge4 columns on inner skin, 9 columns on outer skin, 5 columns on 5 stiffeners, 4 columns on frame, counting from left to right respectively
    Fifth numberStrain gauge on inner skin or outer skin1—Outer skin; 2—Inner skin
    Sixth numberStrain gauge location on stiffener1—Crown; 2—Left web;3—Right web; 4—Left bottom flange; 5—Right bottom flange
    Seventh numberStrain gauge direction1—0°direction;2—45°direction;3—90°direction
    下载: 导出CSV

    表  3  复合材料帽形加筋板轴压稳定性试验值与计算值对比

    Table  3.   Comparison of calculated and experimental values of local buckling load of hat-stiffened composite panel

    No.DExperimental
    buckling load /kN
    Engineering simplified
    method/kN
    Updating
    method /kN
    Error/%
    Simply
    supported
    Built-inSimply
    supported
    Built-inUpdating
    method
    1#3.501315249383312−21.021.6−1.0
    2#3.456185154244189−16.831.92.2
    Note:D—Flexural stiffness ratio.
    下载: 导出CSV

    表  4  三筋条帽形加筋板有限元模型几何参数

    Table  4.   Geometric parameters of finite element models of hat-stiffened panels with three stiffeners

    Typea
    /mm
    B
    /mm
    bc
    /mm
    bw
    /mm
    bf
    /mm
    θ/(°)bss
    /mm
    130027810.410.716.582.970
    259053225332560103
    Notes:a—Length of stiffened panel; B—Width of stiffened panel; bc—Width of stiffener’s crown; bw—Width of stiffener’s web; bf—Width of stiffener’s bottom flange; θ—Angle between stiffener’s web and skin; bss—Width of skin adjacent stiffener.
    下载: 导出CSV

    表  5  三筋条帽形加筋板单层材料参数

    Table  5.   Lamina material parameters of hat-stiffened panels with three stiffeners

    TypeE11/GPaE22/GPaG12/ GPa$ {\nu _{12}} $
    19810.85.20.31
    21548.54.50.35
    下载: 导出CSV

    表  6  三筋条帽形加筋板有限元模型铺层顺序及铺层厚度

    Table  6.   Stacking sequence and thickness of finite element models of hat-stiffened panels with three stiffeners

    No.SkinCrownWebFlange
    Stacking
    bsequence
    Total thic-
    kness/mm
    Stacking
    sequence
    Total thic-
    kness /mm
    Stacking
    sequence
    Total thic-
    kness /mm
    Stacking
    sequence
    Total thic-
    kness /mm
    1.1[45/0/0/-45/90]s1[09/-45/452/-452]s2.8[-45/452/-452]s1[03/-45/452/-45/-45]s1.5
    1.2[45/0/-45/90/45/-45/0]s1.4[09/-45/452/-452]s2.8[-45/452/-452]s1[03/-45/452/-45/-45]s1.5
    1.3[0/90]3s1.2[45/0/90/0/-45/0/45/90]s1.5[45/0/90/0/-45/0/45/90]s1.5[45/0/90/0/-45/0/45/90]s1.5
    2.1[45/-45/-45/90/45/0]s1.2[45/0/0/-45/90]s0.9[45/0/0/-45/90]s0.9[45/0/0/-45/90]s0.9
    2.2[45/-45/902/45/0/90/0]s1.5[0/45/0/0/-45/45]s1.2[0/45/0/0/-45/45]s1.2[0/45/0/0/-45/45]s1.2
    2.3[45/-45/902/45/0/90/0]s1.5[45/0/0/-45/90]s0.9[45/0/0/-45/90]s0.9[45/0/0/-45/90]s0.9
    下载: 导出CSV

    表  7  两类帽形加筋板轴压稳定性有限元值与计算值对比

    Table  7.   Comparison of calculated and FEM values of local buckling load of two kinds of hat-stiffened composite panels

    No.DFEM buckling load/kNEngineering simplified method/kNUpdating method /kNError/%
    Simply supportedBuilt-inSimply supportedBuilt-inUpdating method
    1.1
    1.2
    1.3
    2.1
    2.2
    2.3
    2.750
    4.713
    4.842
    4.014
    4.019
    3.815
    13.0
    38.5
    23.9
    26.4
    52.7
    43.2
    7.7
    15.9
    9.4
    16.0
    28.5
    23.1
    13.1
    29.0
    19.1
    24.7
    46.5
    37.7
    14.2
    38.1
    26.0
    27.9
    54.6
    41.2
    -40.8
    −58.7
    −60.7
    −39.4
    −45.9
    −46.5
    0.8
    −24.7
    −20.1
    −6.4
    −11.8
    −12.7
    9.2
    −1.0
    8.8
    5.7
    3.6
    −4.6
    下载: 导出CSV

    表  8  带横框的三筋条帽形加筋板局部屈曲载荷计算值与试验值对比

    Table  8.   Comparison of calculated and experimental values of local buckling load of hat-stiffened panels with three stiffeners and two frames

    DExperimental
    buckling load/kN
    Engineering simplified method/kNEnergy method/kNUpdating method/kNError/%
    Simply supportedBuilt-inSimply supportedBuilt-inEnergy methodUpdating method
    3.641245.0143.3258238.2235.8-41.55.3-2.8-3.8
    下载: 导出CSV
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  • 收稿日期:  2021-10-08
  • 录用日期:  2021-11-26
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  • 网络出版日期:  2021-12-31

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