新型BTG塑料合金松弛模量函数模型转化  

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

作　　者：沈杰[1,2] 龚宪生[1,2] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044 [2]重庆大学机械工程学院,重庆400044

出　　处：《机械科学与技术》2013年第2期188-191,共4页Mechanical Science and Technology for Aerospace Engineering

基　　金：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

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。The mathematical relationship between the two models which are frequently used to describe visco-elastic material is established by means of the interpolation method of linear equation group. This method realized the transformation 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 described the 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 modulus curve which transformed by Kelvin model of fractional derivative fit the experimental data very well.

关 键 词：粘弹性 分数导数 松弛模量 参数拟合 Maxwell模型 

分 类 号：TB302.3[一般工业技术—材料科学与工程] TB332