| 分数Maxwell和Zener模型的应力松弛模量 |
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| 引用本文： | 周玲.分数Maxwell和Zener模型的应力松弛模量[J].常熟理工学院学报,2008,22(4):57-59. |
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| 作者姓名： | 周玲 |
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| 作者单位： | 西北师范大学,物理与电子工程学院,甘肃,兰州,730070;兰州城市学院,培黎工程技术学院,甘肃,兰州,730070 |
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| 摘 要： | 利用拉普拉斯变换将分数Maxwell和Zener模型的微分方程转变成代数方程，求出拉氏变换解，然后利用梅林变换得出应力松弛模量。这种方法与傅立叶变换方法相比，计算过程比较简单。
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| 关 键 词： | 拉普拉斯变换 粘弹性 应力松弛模量 分数阶微积分 |
| 文章编号： | 1008-2794(2008)04-0057-03 |
| 修稿时间： | 2008年2月26日 |
Relaxation Modulus of Fractional Maxwell and Zener Models |
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| ZHOU Ling.Relaxation Modulus of Fractional Maxwell and Zener Models[J].Journal of Changshu Institute of Technology,2008,22(4):57-59. |
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| Authors: | ZHOU Ling |
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| Institution: | ZHOU Ling ( 1. College of Physics and Electronic Engineering,Northwest Normal University, Lanzhou 730070, China; 2. Peili Engineering and Technology College, Lanzhou City University, Lanzhou 730070, China) |
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| Abstract: | To get the relaxation modulus of fractional Maxwell and Zener models,Laplace transform is utilized,which changes the differential equation into the algebraic equation.Then Mellin transform is used to get the relaxation modulus.The algebraic equation is given,and the relaxation modulus is found.Fourier transform is not used,and Laplace transform and Mellin transform is used to get the relaxation modulus.The process of calculation is easier than others. |
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| Keywords: | Laplace transform viscoelasticity relaxation modulus fractional calculus |
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