不同构型集成竹格栅夹芯板抗弯性能

王智丰; 周李承

doi:10.12171/j.1000-1522.20240088

不同构型集成竹格栅夹芯板抗弯性能

王智丰^{1, 2,},
周李承¹

1.
中南林业科技大学土木工程学院，湖南长沙 410004
2.
中南林业科技大学现代木结构工程材制造及应用技术湖南省工程实验室，湖南长沙 410004

基金项目: 国家自然科学基金面上项目（32471984），湖南省自然科学基金面上项目（2024JJ5631），湖南省教育厅优青项目（23B0236），湖南省研究生科研创新项目（QL20230192），中南林业科技大学引进人才项目（2019YJ048）。

详细信息

作者简介:
王智丰，博士，副教授。主要研究方向：现代竹木结构理论及应用基础研究。Email：wangzhifeng_1984@163.com　地址：410004 湖南省长沙市韶山南路498号中南林业科技大学

中图分类号: S781.9
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出版历程
- 收稿日期: 2024-03-24
- 修回日期: 2024-09-29
- 录用日期: 2024-10-07
- 网络出版日期: 2024-10-10
- 刊出日期: 2025-01-24

Bending performance of laminated bamboo sandwich panels with different lattice configurations

Wang Zhifeng^{1, 2,},
Zhou Licheng¹

1.
School of Civil Engineering, Central South University of Forestry & Technology, Changsha 410004, Hunan, China
2.
Hunan Engineering Laboratory for Manufacturing and Application Technology of Modern Timber Structure Engineering Material, Central South University of Forestry & Technology, Changsha 410004, Hunan, China

摘要

摘要:
目的
针对集成竹利用效率不高，使用形式较为单一的问题，探索其轻质、高效特性的先进结构形式，这对推动竹材在工程领域的应用方面具有重要意义。本研究旨在探究不同构型格栅芯体对集成竹格栅夹芯板弯曲性能的影响，选出不同格栅构型中抗弯性能最优的结构，为其在实际工程的应用提供理论依据。
方法
以集成竹为原材料，通过嵌锁法分别设计加工3种具有不同构型（三角形格栅、方形格栅和Kagome形格栅）的集成竹格栅夹芯板。对不同格栅芯体的集成竹格栅夹芯板进行四点弯曲试验，探讨夹芯板结构的受弯性能，分析夹芯板结构在受弯荷载下的破坏机理、跨中挠度、抗弯刚度和极限承载力的变化规律，并对3种不同芯体集成竹格栅夹芯板结构的比强度和比刚度进行对比。同时，采用有限元方法建立集成竹格栅夹芯板四点弯曲试验模型，并进行数值模拟分析。
结果
3种不同构型格栅芯体的集成竹格栅夹芯板结构在受弯加载过程中均表现为剪切破坏。三角形集成竹格栅夹芯板的承载能力最好，三角形和Kagome形格栅极限承载力分别为38.7 和27.5 kN，较极限承载力22.5 kN的方形格栅增加了71.9%和22.2%；同时三角形集成竹格栅夹芯板的比强度为133.5 kN·m/kg，较方形（94.6 kN·m/kg）和Kagome形（96.7 kN·m/kg）分别提高了41.2%和38.1%。有限元模型的模拟结果与试验结果较一致，能有效预测集成竹格栅夹芯板的弯曲性能。
结论
3种格栅构型中三角形集成竹夹芯板弯曲性能最优，能够更好地发挥集成竹轻质高强的性能优势。研究结果可为竹材在工程领域的应用提供一种高效的结构形式及理论依据。
- 结构板材 /
- 有限元法 /
- 失效模式 /
- 弯曲强度 /
- 集成竹夹芯板 /
- 格栅构型
Abstract:
Objective
Integrated bamboo has low utilization efficiency and is used in a rather limited variety of forms in engineering applications. So exploring advanced structural forms that integrate the lightweight and high-efficiency characteristics of bamboo is of great significance in promoting the application of bamboo in the field of engineering. This study aims to investigate the impact of different lattice configurations on bending performance of laminated bamboo sandwich panels, select the structure with the best bending resistance among various lattice configurations, and provide a theoretical basis for its application in practical engineering.
Method
Three kinds of laminated bamboo sandwich panels with different lattice cores, namely triangular lattice, square lattice and Kagome lattice, were designed and processed with laminated bamboo as raw material by interlocking method in this study. A four-point bending test was carried out on laminated bamboo sandwich panels with different lattice cores, and the bending performance of sandwich panels was discussed. The failure mechanism of sandwich panels under bending load, as well as the variation law of mid-span deflection, bending stiffness and ultimate bearing capacity, were analyzed, and the specific strength and specific stiffness of laminated bamboo sandwich panels with three different core layers were compared. At the same time, a four-point bending test model of laminated bamboo sandwich panels was established by finite element method, and numerical simulation was carried out.
Result
Three kinds of sandwich panels with different lattice cores all showed shear failure during the bending loading, among which the triangular lattice sandwich panel had the best bearing capacity. Compared with square lattice sandwich panel with ultimate bearing capacity of 22.5 kN, the ultimate bearing capacity of sandwich panels with triangular lattice and Kagome lattice was 38.7 and 27.5 kN, increased by 71.9% and 22.2%, respectively. The specific strength of laminated bamboo sandwich panel with triangular lattice was 133.5 kN·m/kg, which was 41.2% and 38.1% higher than that of square lattice and Kagome lattice with specific strength of 94.6 and 96.7 kN·m/kg, respectively. The finite element model was in good agreement with the test results, which can effectively predict bending performance of laminated bamboo sandwich panels.
Conclusion
Among three kinds of lattice cores, the laminated bamboo triangular lattice sandwich panel has the best bending performance, which can better present the lightweight and high-strength advantages of laminated bamboo. The research results can provide an effective structural form and theoretical basis for the application of bamboo in the engineering field.
- structural panels /
- finite element method /
- failure modes /
- bending strength /
- laminated bamboo sandwich panel /
- lattice configuration

HTML全文

图 1 格栅夹芯板芯体构型

Figure 1. Lattice core of laminated bamboo sandwich panel

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图 2 嵌锁法加工集成竹格栅夹芯板示意图

Figure 2. Schematic diagram of laminated bamboo sandwich panel processed by interlocking method

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图 3 嵌锁法加工集成竹格栅夹芯板加工流程图

Figure 3. Process flowchart of laminated bamboo sandwich panel processed by interlocking method

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图 4 集成竹格栅夹芯板弯曲试验加载示意（a）与测点布置（b）

Figure 4. Loading diagram (a) and measuring point arrangement (b) of bending test for laminated bamboo sandwich panel

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图 5 集成竹本构模型

Figure 5. Constitutive model of laminated bamboo

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图 6 四点弯曲的有限元模型

Figure 6. Finite element model of four-point bending test

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图 7 集成竹格栅夹芯板的四点抗弯试验破坏形态

Figure 7. Failure mode of four-point bending test for laminated bamboo sandwich panel

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图 8 荷载–跨中位移曲线

Figure 8. Load-mid span displacement curve

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图 9 荷载–应变曲线

Figure 9. Load-strain curve

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图 10 集成竹格栅夹芯板应力分布

Figure 10. Stress distribution of laminated bamboo sandwich panel

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表 1 集成竹的密度和主要力学性能

Table 1 Density and main mechanical properties of laminated bamboo

材料	密度/（g·cm⁻³）	顺纹抗拉强度/MPa	顺纹抗压强度/MPa	顺纹剪切强度/MPa
集成竹	0.64 ± 0.02	114.5 ± 6.7	59.7 ± 4.0	18.9 ± 1.1
变异系数/%	2.5	5.8	6.7	6.0

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表 2 集成竹格栅夹芯板结构的几何参数

Table 2 Geometric parameters of laminated bamboo sandwich panel

试件构型	试件数量	夹芯板			竹板厚度/mm	芯体厚度/mm	面层厚度/mm	长格栅数量	短格栅数量
试件构型	试件数量	长度/mm	宽度/mm	厚度/mm	竹板厚度/mm	芯体厚度/mm	面层厚度/mm	长格栅数量	短格栅数量
三角形格栅	3	1 200	384	64	8	48	8	5
方形格栅	3	1 200	384	64	8	48	8	5	15
Kagome形格栅	3	1 200	384	64	8	48	8	4

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表 3 集成竹材料参数

Table 3 Material parameters of laminated bamboo

弹性模量/MPa			泊松比			剪切模量/MPa
E₁₁	E₂₂	E₃₃	μ₁₂	μ₁₃	μ₂₃	G₁₂	G₁₃	G₂₃
9 200	920	460	0.36	0.30	0.29	690	552	158
注：1、2、3分别表示试件跨度方向、试件截面宽度方向、试件截面高度方向。数据引自参考文献[19]。

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表 4 极限荷载、跨中最大位移以及应变的试验和有限元模拟结果对比

Table 4 Comparison of experimental and finite element simulation results for ultimate load, maximum displacement at midspan and strain

试件构型	试验值				模拟值				相对误差/%
试件构型	P_u/kN	Δ_u/mm	ε_c × 10⁶	ε_t × 10⁶	P_u/kN	Δ_u/mm	ε_c × 10⁶	ε_t × 10⁶	P_u	Δ_u	ε_c	ε_t
三角形格栅	38.7	25.1	−5 693.8	4 424.9	38.5	25.2	−5 865.7	4 235.3	0.5	0.4	−3.0	4.3
方形格栅	22.5	14.7	−2 575.8	2 580.3	23.5	15.3	−2 558.2	2 549.8	4.4	4.0	−0.7	1.2
Kagome形格栅	27.5	16.8	−3 142.4	3 124.5	27.0	17.0	−3 049.4	3 004.5	1.9	1.0	−3.0	3.8
注：试验值为同组试件弯曲试验下的平均值；P_u为极限荷载，Δ_u为跨中最大位移，ε_c为压应变，ε_t为拉应变。

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表 5 集成竹格栅夹芯板刚度、强度性能

Table 5 Stiffness and strength properties of laminated bamboo sandwich panel

试件构型	相对密度/（g·cm⁻³）	抗弯刚度/（kN·m²）	抗弯强度/MPa	比刚度 × 10³/（kN·m⁵·kg⁻¹）	比强度/（kN·m·kg⁻¹）
三角形格栅	0.30	45.7 ± 0.2	40.7	149.9 ± 5.0	133.5
方形格栅	0.26	40.6 ± 0.1	24.4	157.5 ± 2.1	94.6
Kagome形格栅	0.29	43.1 ± 0.2	28.5	146.1 ± 5.1	96.7
注：比刚度为结构的抗弯刚度与其相对密度的比值，比强度为结构的抗弯强度与其相对密度的比值。

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