| 基于L-M算法的分数阶导数粘弹性本构模型的参数求解 |
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| 引用本文： | 刘朝丰,石增强,阳建红.基于L-M算法的分数阶导数粘弹性本构模型的参数求解[J].上海航天,2009,26(6):13-16. |
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| 作者姓名： | 刘朝丰 石增强 阳建红 |
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| 作者单位： | 第二炮兵工程学院,陕西,西安,710025 |
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| 摘 要： | 引入分数阶导数,建立了类Kelvin体粘弹性本构模型。用最小二乘法法和Levenberg-Marquard（L-M）算法,给出了求解类Kelvin体粘弹性本构模型参数的详细步骤。由实际数据选择初值,保证L-M法不会陷入局部最小。某固体推进剂的粘弹性本构模型参数的计算结果表明：该法可较好地表征推进剂松弛曲线,且模型简单、计算参数少。
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| 关 键 词： | 粘弹性 分数阶导数 最小二乘法 L-M算法 类Kelvin体 本构模型参数 |
Fractional Order Derivative Viscoelasticity Constitutive Model Parameter Solving Based on L-M Arithmetic |
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| LIU Chao-feng,SHI Zeng-qiang,YANG Jian-hong.Fractional Order Derivative Viscoelasticity Constitutive Model Parameter Solving Based on L-M Arithmetic[J].Aerospace Shanghai,2009,26(6):13-16. |
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| Authors: | LIU Chao-feng SHI Zeng-qiang YANG Jian-hong |
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| Institution: | LIU Chao-feng,SHI Zeng-qiang,YANG Jian-hong(The Second Artillery Engineering College,Xi'an Shaanxi 710025,China) |
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| Abstract: | A quasi Kelvin viscoelasticity constitutive model was founded via introducing fractional order derivative in this paper.By using the least square method and Levenberg-Marquard(L-M) arithmetic,the steps to solve quasi Kelvin viscoelasticity constitutive model parameter were given out.It was assured this method wouldn't be plunged local minimality through adopting selecting initial value from test data.The computation result of some solid propellant act using in the model showed that the looseness curve of th... |
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| Keywords: | Viscoelasticity Fractional order derivative Least square method L-M arithmetic Quasi Kelvin model Constitutive model parameter |
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