Buckling Analysis of Thin-Walled Structures under Local Laser Irradiation
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摘要: 薄壁结构广泛应用于实际工程中，局部材料性能的变化、局部热应力等因素均影响结构的屈曲承载力。为考察局部升温对薄壁结构屈曲承载力的影响，通过激光辐照实现薄壁结构的局部快速升温。采用温度-位移耦合法进行非线性热屈曲分析，获得了激光功率密度、辐照光斑半径和薄板厚度对薄板热屈曲的影响；在此基础上采用弧长法分析轴向受压薄板结构在局部激光辐照下的整体屈曲承载力。数值结果表明：薄板结构的整体屈曲承载力随激光辐照时间的增加及辐照光斑半径的增大呈线性下降趋势，随薄板厚度的增加近似呈指数增大。Abstract: Thin-walled structures have been widely used in engineering practice, and great attention has been paid to the study of local changes that occur in their material properties and thermal stress as they have a great influence on the structures' bearing capacity.In our study, the laser power density, irradiation spot radius and thickness of the sheet were first taken into consideration in the analysis of the thermal nonlinear buckling behavior of the thin-walled structures under local irradiation.Then, the arc-length method was applied in the investigation of the stability of the thin-walled structures under combined external loads of axial compression and laser irradiation.Our numerical results indicated that the buckling capability of the thin-walled structures decreases almost linearly with the increase of irradiation time and irradiation spot radius, but increases exponentially along with the increase of sheet thickness.
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Key words:
- thin-walled structure /
- thermal buckling /
- laser irradiation /
- buckling capacity
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图 3 不同功率密度的激光辐照下支反力与辐照时间的关系
Figure 3. Support reaction force vs.irradiation timefor different laser power densities
图 4 发生热屈曲时的辐照时间与激光功率密度的关系
Figure 4. Laser power density vs.irradiationtime of thermal buckling
图 5 不同光斑半径条件下支反力与辐照时间的关系
Figure 5. Support reaction force vs.irradiationtime for different spot radii
图 7 不同厚度薄板的支反力与辐照时间的关系
Figure 7. Support reaction force vs.irradiation timefor plates with different thicknesses
图 8 发生热屈曲时的辐照时间与薄板厚度的关系
Figure 8. Plate thickness vs.irradiationtime before thermal buckling
图 10 激光辐照5 s时薄板的温度云图
Figure 10. Temperature nephogram ofplate after laser irradiation of 5 s
图 11 不同辐照时间下支反力与位移的关系
Figure 11. Support reaction force vs.displacementafter different irradiation times
图 13 不同光斑半径的激光辐照2 s后支反力与位移的关系
Figure 13. Support reaction force vs.displacement afterlaser irradiation of 2 s with different spot radii
图 14 激光辐照2 s后屈曲承载力与光斑半径的关系
Figure 14. Buckling bearing capacity vs.spot radiusafter laser irradiation of 2 s
图 15 激光辐照2 s后不同厚度薄板的支反力与位移的关系
Figure 15. Support reaction force vs.displacement for plateswith different thicknesses after laser irradiation of 2 s
图 16 激光辐照2 s后屈曲承载力与薄板厚度的关系
Figure 16. Buckling bearing capacity vs.plate thicknessafter laser irradiation of 2 s
表 1 材料参数
Table 1. Material parameters
ρ/(g/cm3) μ T/(℃) E/(GPa) α/(10-5 ℃-1) cp/[J/(g·℃)] λ/[W/(m·℃)] 20 68 2.20 0.900 49 100 64 2.36 0.921 49 2.7 0.3 200 54 2.52 1.047 49 300 42 2.68 1.130 230 400 34 2.84 1.232 227 
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表 2 塑性参数
Table 2. Plastic parameters
Plastic strain Stress/(MPa) 22 ℃ 100 ℃ 175 ℃ 250 ℃ 300 ℃ 0 180 150 140 110 90 0.03 225 190 175 125 80 0.07 280 225 180 125 80 0.10 290 240 170 120 75
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