Computation of the Laplace inverse transform by application of the wavelet theory

被引：41
|
作者：
Wang, JZ
Zhou, YH
Gao, HJ
机构：
[1] Max Planck Inst Met Res, Dept Professor Gao, D-60569 Stuttgart, Germany
[2] Lanzhou Univ, Dept Mech, Lanzhou 730000, Peoples R China
来源：
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2003年 / 19卷 / 12期
关键词：
wavelet; Fourier inversion; Laplace inversion; fractionally damping; viscoelasticity;
D O I：
10.1002/cnm.645
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An efficient and robust method of solving Laplace inverse transform is proposed based on the wavelet theory. The inverse function is expressed as a wavelet expansion with rapid convergence. Several examples are provided to demonstrate the methodology. As an example of application, the proposed inversion method is applied to the dynamic analysis of a single-degree-of-freedom spring-mass-damper system whose damping is described by a stress-strain relation containing fractional derivatives. The results are compared with previous studies. Copyright (C) 2003 John Wiley Sons, Ltd.
引用
收藏
页码：959 / 975
页数：17
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