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基于数值模型的金属橡胶刚度特性细观机理研究
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军械工程学院

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Analysis of microcosmic mechanism of metal rubber’s stiffness with numerical model
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    摘要:

    以完全基于实际材料、工艺参数建立的金属橡胶数值模型为基础,对材料非线性刚度特性的细观机理进行了研究。在成形压力曲线、组织形态、尺寸、准静态加载曲线四个方面对数值模型进行了验证。对金属橡胶组织结构进行分解,建立了弹性微元细观模型及其局部坐标。对弹性微元的空间运动模式、z向弹性变形模式、xoy平面弹性变形模式进行了分析。建立了金属橡胶非线性刚度特性的数学模型,对非线性刚度的细观机理进行了数学描述。数值模型与实验吻合良好,可靠性较强。准静态加载过程中,弹性微元的空间运动以平移为主,空间转动很小;z向弹性变形可以等效为若干曲梁的并联,并联曲梁个数与应变呈线性关系;xoy平面内的弹性变形是一种使弹性微元两端点距离变小的弯曲变形。建立的数学模型与实验结果吻合良好,包含了材料的基本结构参数、细观特征参数以及非线性刚度机理参数,各参数物理意义充分,模型准确性较好。理论模型能够对材料非线性刚度的细观本质进行解释,对材料的设计具备一定的指导意义。

    Abstract:

    Based on numerical model established with actual parameters of raw material and processes, micro mechanism of metal rubber’s nonlinear stiffness was researched. Numerical model was verified in some respects, such as forming force, tissue structure, size and quasi-static loading curve. Tissue structure of metal rubber was decomposed. Elastic micro structure model and its local coordinate system were set up. Spatial motion, elastic deformation on z direction, and elastic deformation in xoy plane of elastic micro structure were studied. Mathematic model of metal rubber’s nonlinear stiffness property was built. Micro mechanism of nonlinear stiffness was described. The numerical model can coincide with experimental results well and be reliable. In quasi-static loading process, elastic micro structure’s translation is the main spatial motion, and its spatial rotation is very small. The elastic deformation on z direction can be regarded as parallel connection of several curved beams. The elastic deformation in xoy plane can be treated as a curved beam’s bending deformation making the distance of two endpoints smaller. The mathematical model agrees with test results well and it contains basic structure parameters, micro feature parameters and nonlinear stiffness mechanism parameters. These parameters have clear physical significance and the mathematic model has a high accuracy. Micro mechanism of nonlinear stiffness can be explained well by theory models. The mathematic model has some guiding significance for metal rubber’s design.

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黄凯.基于数值模型的金属橡胶刚度特性细观机理研究[J].稀有金属材料与工程,2018,47(10):3021~3029.[Huangkai. Analysis of microcosmic mechanism of metal rubber’s stiffness with numerical model[J]. Rare Metal Materials and Engineering,2018,47(10):3021~3029.]
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  • 收稿日期:2016-12-05
  • 最后修改日期:2018-09-02
  • 录用日期:2017-03-15
  • 在线发布日期: 2018-11-08
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