IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, VOL. 59, NO. 11, NOVEMBER 2010 2997
A Temperature Self-Compensated LPFG Sensor for
Large Strain Measurements at High Temperature
Ying Huang, Zhi Zhou, Yinan Zhang, Genda Chen, and Hai Xiao
Abstract—In this paper, a CO
2
laser-induced long-period fiber-
grating (LPFG) optic sensor was packaged with a hybrid mecha-
nism of elastic attachment and gauge length change for large strain
measurements in a high-temperature environment. An emphasis
was placed on the use of two cladding modes (LP
06
and LP
07
)
of a single LPFG sensor for simultaneous strain and temperature
evaluations so that exact temperature was used to compensate
strain measurements. Both strain and temperature sensitivities of
the LPFG sensor, as well as the strain transfer ratio due to a com-
bined effect of elastic attachment and gauge length change, were
analytically derived and validated with tension tests at elevated
temperatures. The strain sensitivity of the LPFG sensor switched
sign from negative for LP
06
or lower modes to positive for LP
07
or higher modes, whereas its temperature sensitivity remained
positive. The sign switch for the strain sensitivity resulted from
two competing changes of grating period and effective refractive
index as the gratings are subjected to an axial strain. The LPFG
sensor was demonstrated to be operational up to 700
◦
C for a
strain measurement of up to 1.5%.
Index Terms—High temperature, large strain, long-period
fiber grating (LPFG), simultaneous strain and temperature mea-
surement, strain sensitivity, strain transfer ratio, temperature
sensitivity.
I. I NTRODUCTION
B
UILDINGS are exposed to increasing fire hazards dur-
ing recent extreme events such as earthquake-induced
gasoline ruptures and terrorist threats. Their behavior in a
high-temperature environment (e.g., progressive collapse of
steel buildings) has thus become a fundamentally important
subject that will continue to receive growing interests in the
research community. To the best of our knowledge, sensors
are presently unavailable for deployment in fire environments
even for laboratory experiments. For example, to understand
the fundamental physics involved in a fire–structure interaction
process, two insulated steel trusses were tested in jet fuel
fires [1]. However, no sensor was actually instrumented on
Manuscript received September 2, 2009; revised February 25, 2010; accepted
March 11, 2010. Date of publication May 3, 2010; date of current version
October 13, 2010. This work was supported in part by the U.S. National
Science Foundation under Award CMMI-0825942 and in part by the Mid-
America Transportation Center under Award 0018358. The Associate Editor
coordinating the review process for this paper was Dr. George Xiao.
Y. Huang, Z. Zhou, and G. Chen are with the Department of Civil, Ar-
chitectural, and Environmental Engineering, Missouri University of Science
and Technology, Rolla, MO 65401-0030 USA (e-mail: yhgn6@mst.edu;
zhouzhi@mst.edu; gchen@mst.edu).
Y. Zhang and H. Xiao are with the Department of Electrical and Computer
Engineering, Missouri University of Science and Technology, Rolla, MO 65401
USA (e-mail: yzfyc@mst.edu; xiaoha@mst.edu).
Color versions of one or more of the figures in this paper are available online
at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/TIM.2010.2047065
the structural members to directly measure temperature and
strain inside fire flames, although having these parameters was
highly desirable. The fire–structure interaction would never
be fully understood without sensors that can directly measure
large strains at high temperature. In reference to the collapse
investigation of the former World Trade Center towers [1],
none of the steel samples recovered from ground zero showed
evidence of exposure to temperatures above 600
◦
C for as long
as 15 min. Only three of the recovered samples of exterior
panels reached temperatures in excess of 250
◦
C during the
fire or after the collapse. Therefore, a temperature range of
up to 700
◦
C seems appropriate for building research in fire
environments.
Strain measurements at high temperature have been at-
tempted by several researchers with fiber Bragg grating sen-
sors [2] and Fabry–Pérot (F–P) sensors [3]. For simultaneous
strain and temperature measurements, long-period fiber-grating
(LPFG) sensors fabricated with a birefringence fiber [4] and
compact LPFG pairs [5] have been investigated. Due to limited
deformability of the optical fiber, these sensors can only sustain
a strain of less than 4000 με. Han et al. [6] reported that a
dual-LPFG sensing system with a cladding mode stripper in
between can simultaneously measure temperature up to 180
◦
C
and strain up to 8000 με. However, the weak stripper between
the two LPFGs limits the temperature range of the dual sensor
within 200
◦
C. Rao et al. [7] presented a hybrid LPFG/micro
extrinsic F–P interferometric sensor for a simultaneous mea-
surement of strain and temperature up to 650
◦
C. However, its
strain dynamic range is very small.
The first long-period grating was successfully inscribed on
an optical fiber in 1996 [8], and the modulation of a relative
effective index change between the core and the cladding of
an LPFG sensor can be achieved by UV irradiation [9] and
CO
2
laser irradiation [10]. With different fabrication methods,
LPFG sensors have different properties for strain and temper-
ature measurements. The strain and temperature properties of
UV-induced LPFG sensors have widely been investigated in
the past few years. UV-induced LPFG strain sensors largely
depend on the types of fibers due to their diverse strain-optic
coefficients [8]. They exhibited positive strain sensitivity and
negative temperature sensitivity with cladding modes lower
than LP11 [11], [12]. On the other hand, the properties of
LPFG sensors induced by CO
2
lasers have not been investigated
systematically. The effects of various interrelated physical pa-
rameters such as strain and temperature on the sensitivity of
LPFG sensors remain unclear in various applications.
The objectives of this paper are to design, fabricate, and
characterize a CO
2
laser-induced LPFG optic sensor that is
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