新型BTG塑料合金松弛模量函数模型转化

基金项目:

国家自然科学基金项目(51175525)

重庆大学机械传动国家重点实验室自主研究基金项目(0301002109137)

重庆市科技攻关计划项目(CSTC,2007AC3015)资助

A Transformation Method between Two Models of the Relaxation Modulus Function for a New BTG Plastic Alloy

1.
The State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing 400044;
2.
College of Mechanical Engineering,Chongqing University,Chongqing 400044

摘要: 利用线性方程组插值求解法,建立了常用的粘弹性材料描述的两种模型间的数学联系,实现了分数导数Kelvin模型与广义Maxwell模型的转化。基于MATLAB软件,由实验数据首先建立了能准确表达BTG塑料合金松弛变化规律的分数导数Kelvin模型,并通过上述方法转化得到材料的Maxwell模型参数。研究结果表明:通过分数导数Kelvin模型转化得到的广义Maxwell模型松弛模量函数曲线与实验数据重合度非常高。
- 粘弹性 /
- 分数导数 /
- 松弛模量 /
- 参数拟合 /
- Maxwell模型
Abstract: The mathematical relationship between the two models which are frequently used to describe visco-elasticmaterial is established by means of the interpolation method of linear equation group. This method realized thetransformation between the Kelvin model of fractional derivative and the generalized Maxwell model. As the de-scribed above,with MATLAB,the Kelvin model in the form of fractional derivative which can accurately describedthe relaxation changing patterns of BTG plastic alloy is firstly established with the experimental. Then,the parame-ter in Maxwell model for the material can be got by the method above. The result shows that the relaxation moduluscurve which transformed by Kelvin model of fractional derivative fit the experimental data very well.
- visco-elastic /
- fractional derivative /
- relaxation modulus /
- parameter fitting /
- Maxwell model

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