Sampling localization in determining the relaxation spectrum

被引：81

作者：

Davies, AR ^{[1
]}

Anderssen, RS ^{[1
]}

机构：

[1] CSIRO,CANBERRA,ACT 2601,AUSTRALIA

来源：

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS | 1997年 / 73卷 / 1-2期

关键词：

relaxation spectrum; sampling localization; reciprocal frequency;

D O I：

10.1016/S0377-0257(97)00056-6

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

It is widely believed that the storage and loss moduli over the frequency range omega(min)<omega<omega(max) yield information about the relaxation spectrum over the range of relaxation times (omega(max))(-1)<tau<(omega(min))(-1); i.e. the reciprocal frequency range. This rule-of-thumb is often used to discard estimates of the relaxation spectrum provided by indirect methods outside the reciprocal frequency range of the data. We will show, however, that this rule is imprecise, and that the relaxation spectrum is determined on a shorter interval of relaxation times than the reciprocal frequency range. This is formalized in the paper as sampling localization. (C) 1997 Elsevier Science B.V.

引用

页码：163 / 179

页数：17

共 11 条

[1]

Abramowitz M., 1964, HDB MATH FUNCTIONS

[2] DETERMINATION OF DISCRETE RELAXATION AND RETARDATION TIME SPECTRA FROM DYNAMIC MECHANICAL DATA [J].