Constitutive Model for Simply Supported Beams of Metal Rubber
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摘要: 依据金属橡胶细观接触作用特点及受力变形特征为基础, 对金属橡胶准静态压缩情况进行分析。从金属橡胶的微单元体出发, 以单匝螺旋卷为基本受力单元, 根据单匝螺旋卷与简支梁的几何关系, 及单元体内螺旋卷的串并联关系, 提出了简支梁金属橡胶本构模型, 并用不同工艺参数的金属橡胶试件对所建模型进行试验验证, 同时与悬臂梁模型、多孔模型作误差对比分析。结果表明: 与悬臂梁模型和多孔模型相比, 简支梁模型与实验数据拟合误差更小, 所以简支梁本构模型可以更好的反映金属橡胶的静态力学性能, 同时该模型可以反映丝径、丝材、螺旋卷直径、相对密度等因素对金属橡胶非线性力学性能的的影响。Abstract: The quasi-static compression of metal rubber was analyzed according to the characteristics of mesoscopic contact and stress deformation of metal rubber. Starting from the micro element of metal rubber to single turn spiral coil of the basic mechanical unit, according to the geometric relationships between the single turn spiral coil and the beam, and the parallel relationship among the unit of spiral coil series, the constitutive model for the simple-supported metal rubber with different processing parameters is put forward, at the same time, the error analysis is compared with the cantilever beam model and the porous model. Results show that the error via the simply supported beam model is smaller than that via the cantilever beam and porous models comparing with the experimental, so the beam constitutive model can better reflect the static mechanical performance of metal rubber, at the same time, the model can reflect the wire diameter, wire, spiral coil diameter, relative density and so on the influence of factors on the properties of metal rubber nonlinear mechanics, for metal rubber provide theoretical basis.
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Key words:
- metal rubber /
- constitutive model /
- simply supported beam /
- cantilever beam /
- porous model
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表 1 奥氏体不锈钢丝金属橡胶试件参数
序号 丝径d/mm 螺旋卷直径D/mm 相对密度ρMR 1 0.3 3.0 0.15 2 0.3 3.0 0.20 3 0.3 3.0 0.25 4 0.3 3.0 0.30 5 0.3 3.0 0.35 注: 试件尺寸32 mm(内径)×66 mm(外径)×26 mm(高度) 
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