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基于數(shù)值模型的金屬橡膠剛度特性細(xì)觀機(jī)理研究
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軍械工程學(xué)院

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

    以完全基于實(shí)際材料、工藝參數(shù)建立的金屬橡膠數(shù)值模型為基礎(chǔ),對材料非線性剛度特性的細(xì)觀機(jī)理進(jìn)行了研究。在成形壓力曲線、組織形態(tài)、尺寸、準(zhǔn)靜態(tài)加載曲線四個(gè)方面對數(shù)值模型進(jìn)行了驗(yàn)證。對金屬橡膠組織結(jié)構(gòu)進(jìn)行分解,建立了彈性微元細(xì)觀模型及其局部坐標(biāo)。對彈性微元的空間運(yùn)動模式、z向彈性變形模式、xoy平面彈性變形模式進(jìn)行了分析。建立了金屬橡膠非線性剛度特性的數(shù)學(xué)模型,對非線性剛度的細(xì)觀機(jī)理進(jìn)行了數(shù)學(xué)描述。數(shù)值模型與實(shí)驗(yàn)吻合良好,可靠性較強(qiáng)。準(zhǔn)靜態(tài)加載過程中,彈性微元的空間運(yùn)動以平移為主,空間轉(zhuǎn)動很小;z向彈性變形可以等效為若干曲梁的并聯(lián),并聯(lián)曲梁個(gè)數(shù)與應(yīng)變呈線性關(guān)系;xoy平面內(nèi)的彈性變形是一種使彈性微元兩端點(diǎn)距離變小的彎曲變形。建立的數(shù)學(xué)模型與實(shí)驗(yàn)結(jié)果吻合良好,包含了材料的基本結(jié)構(gòu)參數(shù)、細(xì)觀特征參數(shù)以及非線性剛度機(jī)理參數(shù),各參數(shù)物理意義充分,模型準(zhǔn)確性較好。理論模型能夠?qū)Σ牧戏蔷€性剛度的細(xì)觀本質(zhì)進(jìn)行解釋,對材料的設(shè)計(jì)具備一定的指導(dǎo)意義。

    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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黃凱.基于數(shù)值模型的金屬橡膠剛度特性細(xì)觀機(jī)理研究[J].稀有金屬材料與工程,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
  • 錄用日期:2017-03-15
  • 在線發(fā)布日期: 2018-11-08
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