An efficient method of fitting Prony-series models to viscoelastic
experimental data with power-law presmoothing is presented. A direct
fitting of a Prony-series function to experimental data without
appropriate presmoothing is difficult when the data have significant
variance. A power-law series comprising multiple powerlaw terms is found
capable of portraying a globally smooth, broadband viscoelastic behavior
with minimal impact from local variance in the data. However, from a
computational point of view, a Prony series representation is preferred
to a power-law series representation because of the computational
efficiency associated with the exponential basis functions of a Prony
series. In this paper, a procedure involving presmoothing of
experimental data via power-law-series representation followed by
fitting of a Prony series model to the presmoothed data is discussed and
illustrated. Discussion focuses on how experimental data with
significant variance can be effectively presmoothed through power-law
series representation and how presmoothing improves the quality of the
subsequent Prony series fit. The feasibility and effectiveness of the
approach are demonstrated through numerical examples in which
Prony-series representations of the creep compliance and relaxation
modulus of asphalt concrete are determined from available experimental
data.
Construction & Building Technology; Engineering; Materials Science
doc-delivery-number
396TY
number-of-cited-references
40
web-of-science-categories
Construction & Building Technology; Engineering, Civil; Materials
Science, Multidisciplinary
affiliation
Park, SW (Reprint Author), PSI, Fed Hwy Adm, 6300 Georgetown Pike, Mclean, VA 22101 USA..
PSI, Fed Hwy Adm, Mclean, VA 22101 USA.
Georgia Inst Technol, Sch Mech Engn, Atlanta, GA 30332 USA.
N Carolina State Univ, Dept Civil Engn, Raleigh, NC 27695 USA.
%0 Journal Article
%1 park-kim
%A Park, SW
%A Kim, YR
%C 345 E 47TH ST, NEW YORK, NY 10017-2398 USA
%D 2001
%I ASCE-AMER SOC CIVIL ENGINEERS
%J JOURNAL OF MATERIALS IN CIVIL ENGINEERING
%K viscoelastic
%N 1
%P 26-32
%R 10.1061/(ASCE)0899-1561(2001)13:1(26)
%T Fitting prony-series viscoelastic models with power-law presmoothing
%V 13
%X An efficient method of fitting Prony-series models to viscoelastic
experimental data with power-law presmoothing is presented. A direct
fitting of a Prony-series function to experimental data without
appropriate presmoothing is difficult when the data have significant
variance. A power-law series comprising multiple powerlaw terms is found
capable of portraying a globally smooth, broadband viscoelastic behavior
with minimal impact from local variance in the data. However, from a
computational point of view, a Prony series representation is preferred
to a power-law series representation because of the computational
efficiency associated with the exponential basis functions of a Prony
series. In this paper, a procedure involving presmoothing of
experimental data via power-law-series representation followed by
fitting of a Prony series model to the presmoothed data is discussed and
illustrated. Discussion focuses on how experimental data with
significant variance can be effectively presmoothed through power-law
series representation and how presmoothing improves the quality of the
subsequent Prony series fit. The feasibility and effectiveness of the
approach are demonstrated through numerical examples in which
Prony-series representations of the creep compliance and relaxation
modulus of asphalt concrete are determined from available experimental
data.
@article{park-kim,
abstract = {{An efficient method of fitting Prony-series models to viscoelastic
experimental data with power-law presmoothing is presented. A direct
fitting of a Prony-series function to experimental data without
appropriate presmoothing is difficult when the data have significant
variance. A power-law series comprising multiple powerlaw terms is found
capable of portraying a globally smooth, broadband viscoelastic behavior
with minimal impact from local variance in the data. However, from a
computational point of view, a Prony series representation is preferred
to a power-law series representation because of the computational
efficiency associated with the exponential basis functions of a Prony
series. In this paper, a procedure involving presmoothing of
experimental data via power-law-series representation followed by
fitting of a Prony series model to the presmoothed data is discussed and
illustrated. Discussion focuses on how experimental data with
significant variance can be effectively presmoothed through power-law
series representation and how presmoothing improves the quality of the
subsequent Prony series fit. The feasibility and effectiveness of the
approach are demonstrated through numerical examples in which
Prony-series representations of the creep compliance and relaxation
modulus of asphalt concrete are determined from available experimental
data.}},
added-at = {2013-01-07T15:15:45.000+0100},
address = {{345 E 47TH ST, NEW YORK, NY 10017-2398 USA}},
affiliation = {{Park, SW (Reprint Author), PSI, Fed Hwy Adm, 6300 Georgetown Pike, Mclean, VA 22101 USA..
PSI, Fed Hwy Adm, Mclean, VA 22101 USA.
Georgia Inst Technol, Sch Mech Engn, Atlanta, GA 30332 USA.
N Carolina State Univ, Dept Civil Engn, Raleigh, NC 27695 USA.}},
author = {Park, SW and Kim, YR},
biburl = {https://www.bibsonomy.org/bibtex/200c16e043192ec4cdb8a021f9ffd8248/jehiorns},
doc-delivery-number = {{396TY}},
doi = {{10.1061/(ASCE)0899-1561(2001)13:1(26)}},
interhash = {5746c9a7f8e766e4be657ebf9ca62197},
intrahash = {00c16e043192ec4cdb8a021f9ffd8248},
issn = {{0899-1561}},
journal = {JOURNAL OF MATERIALS IN CIVIL ENGINEERING},
journal-iso = {{J. Mater. Civ. Eng.}},
keywords = {viscoelastic},
keywords-plus = {{GENERATING LINE SPECTRA; EXPERIMENTAL RESPONSES; RELAXATION SPECTRUM;
ASPHALT CONCRETE; INTERCONVERSION; BEHAVIOR}},
language = {{English}},
month = {{JAN-FEB}},
number = {{1}},
number-of-cited-references = {{40}},
pages = {{26-32}},
publisher = {{ASCE-AMER SOC CIVIL ENGINEERS}},
research-areas = {{Construction \& Building Technology; Engineering; Materials Science}},
times-cited = {{42}},
timestamp = {2013-01-07T17:28:40.000+0100},
title = {{Fitting prony-series viscoelastic models with power-law presmoothing}},
type = {{Article}},
unique-id = {{ISI:000166653700004}},
volume = 13,
web-of-science-categories = {{Construction \& Building Technology; Engineering, Civil; Materials
Science, Multidisciplinary}},
year = {{2001}}
}